%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG058+1 : TPTP v8.1.2. Released v2.7.0.
% 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 : Wed Aug 30 16:36:04 EDT 2023

% Result   : Theorem 17.65s 3.14s
% Output   : Proof 73.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG058+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.13  % 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 : Mon Aug 28 06:09:25 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.62/0.61  ________       _____
% 0.62/0.61  ___  __ \_________(_)________________________________
% 0.62/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.62/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.62/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.62/0.61  
% 0.62/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.62/0.61  (2023-06-19)
% 0.62/0.61  
% 0.62/0.61  (c) Philipp Rümmer, 2009-2023
% 0.62/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.62/0.61                Amanda Stjerna.
% 0.62/0.61  Free software under BSD-3-Clause.
% 0.62/0.61  
% 0.62/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.62/0.61  
% 0.62/0.61  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.62/0.62  Running up to 7 provers in parallel.
% 0.68/0.63  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.68/0.63  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.68/0.63  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.68/0.63  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.68/0.63  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.68/0.63  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.68/0.63  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.18/1.70  Prover 4: Preprocessing ...
% 7.18/1.70  Prover 1: Preprocessing ...
% 7.18/1.72  Prover 6: Preprocessing ...
% 7.18/1.72  Prover 0: Preprocessing ...
% 7.18/1.73  Prover 5: Preprocessing ...
% 7.18/1.73  Prover 3: Preprocessing ...
% 7.18/1.73  Prover 2: Preprocessing ...
% 13.19/2.50  Prover 2: Constructing countermodel ...
% 13.37/2.52  Prover 4: Constructing countermodel ...
% 13.37/2.52  Prover 3: Constructing countermodel ...
% 13.46/2.52  Prover 1: Constructing countermodel ...
% 14.14/2.66  Prover 0: Constructing countermodel ...
% 14.65/2.69  Prover 6: Constructing countermodel ...
% 17.65/3.09  Prover 5: Constructing countermodel ...
% 17.65/3.13  Prover 2: proved (2503ms)
% 17.65/3.13  
% 17.65/3.14  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.65/3.14  
% 17.65/3.14  Prover 0: stopped
% 17.65/3.14  Prover 5: stopped
% 17.65/3.15  Prover 6: stopped
% 17.65/3.15  Prover 3: stopped
% 17.65/3.16  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 17.65/3.16  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 17.65/3.16  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 17.65/3.16  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 17.65/3.16  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 22.11/3.69  Prover 11: Preprocessing ...
% 22.11/3.70  Prover 13: Preprocessing ...
% 22.11/3.71  Prover 7: Preprocessing ...
% 22.11/3.73  Prover 10: Preprocessing ...
% 22.11/3.74  Prover 8: Preprocessing ...
% 23.95/3.94  Prover 8: Constructing countermodel ...
% 25.00/4.07  Prover 11: Constructing countermodel ...
% 25.00/4.08  Prover 13: Constructing countermodel ...
% 25.60/4.16  Prover 10: Constructing countermodel ...
% 25.60/4.18  Prover 7: Constructing countermodel ...
% 63.92/9.06  Prover 13: stopped
% 63.92/9.08  Prover 16: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 65.05/9.26  Prover 16: Preprocessing ...
% 66.16/9.37  Prover 1: Found proof (size 23032)
% 66.16/9.37  Prover 1: proved (8744ms)
% 66.16/9.37  Prover 11: stopped
% 66.16/9.37  Prover 7: stopped
% 66.16/9.37  Prover 10: stopped
% 66.16/9.37  Prover 4: stopped
% 66.16/9.37  Prover 8: stopped
% 66.16/9.38  Prover 16: stopped
% 66.16/9.38  
% 66.16/9.38  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.16/9.38  
% 67.63/9.67  % SZS output start Proof for theBenchmark
% 67.63/9.70  Assumptions after simplification:
% 67.63/9.70  ---------------------------------
% 67.63/9.70  
% 67.63/9.70    (ax1)
% 67.99/9.75    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 67.99/9.75    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 67.99/9.75    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 67.99/9.75    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 67.99/9.75    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 67.99/9.75    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 67.99/9.75      v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 67.99/9.75      v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 67.99/9.75      v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 67.99/9.75      v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 67.99/9.75      & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 67.99/9.75      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 67.99/9.75      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 67.99/9.75      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 67.99/9.75      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 67.99/9.75        v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 67.99/9.75        e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 67.99/9.75      (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 67.99/9.75        e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 67.99/9.75        v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 67.99/9.75        e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 67.99/9.75        v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 67.99/9.75        e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 67.99/9.75        v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 67.99/9.75        = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 67.99/9.75        v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 67.99/9.75        e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 67.99/9.75        e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 67.99/9.75        | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 67.99/9.75      (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 67.99/9.75        = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 67.99/9.75        e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 67.99/9.75        e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 67.99/9.75        | v0 = e0))
% 67.99/9.75  
% 67.99/9.75    (ax2)
% 67.99/9.75    op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1
% 67.99/9.75    & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) =
% 67.99/9.75    e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) &
% 67.99/9.75    $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 |
% 67.99/9.75      unit = e0)
% 67.99/9.75  
% 67.99/9.75    (ax3)
% 67.99/9.77    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 67.99/9.77    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 67.99/9.77    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 67.99/9.77    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 67.99/9.77    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 67.99/9.77    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 67.99/9.77      v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 67.99/9.77      v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 67.99/9.77      v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 67.99/9.77      v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 67.99/9.77      v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 67.99/9.77      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 67.99/9.77      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 67.99/9.77      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 67.99/9.77      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 67.99/9.77        v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 67.99/9.77        e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 67.99/9.77      (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 67.99/9.77        | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 67.99/9.77        e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 67.99/9.77      (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 67.99/9.77        | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 67.99/9.77        e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 67.99/9.77      (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 67.99/9.77        | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 67.99/9.77        e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 67.99/9.77      (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 67.99/9.77        | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 67.99/9.77        e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 67.99/9.77      (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 67.99/9.77        | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 67.99/9.77        e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 67.99/9.77      (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 67.99/9.77        | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 67.99/9.77        e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 67.99/9.77      (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 67.99/9.77        | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 67.99/9.77        e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 67.99/9.77      (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 67.99/9.77        | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 67.99/9.77        e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 67.99/9.77      (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 67.99/9.77        | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 67.99/9.77        e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 67.99/9.77      (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 67.99/9.77        v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 67.99/9.77        = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 67.99/9.77        = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 67.99/9.77        e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 67.99/9.77        e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 67.99/9.77        | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 67.99/9.77          & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 67.99/9.77  
% 67.99/9.77    (ax4)
% 67.99/9.78    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 67.99/9.78    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 67.99/9.78    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 67.99/9.78    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 67.99/9.78    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 67.99/9.78    [v23: $i] :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &
% 67.99/9.78       ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24 =
% 67.99/9.78        v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23 = v18) & 
% 67.99/9.78      ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 = v21) &  ~ (v22 =
% 67.99/9.78        v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 = v7) &  ~ (v22 = v2) & 
% 67.99/9.78      ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 =
% 67.99/9.78        v1) &  ~ (v20 = v15) &  ~ (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~
% 67.99/9.78      (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 =
% 67.99/9.78        v14) &  ~ (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) & 
% 67.99/9.78      ~ (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 67.99/9.78        v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 = v2) & 
% 67.99/9.78      ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 = v1) &  ~ (v15 =
% 67.99/9.78        v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 = v13) &  ~ (v14 = v12) & 
% 67.99/9.78      ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 =
% 67.99/9.78        v12) &  ~ (v13 = v11) &  ~ (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) & 
% 67.99/9.78      ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 =
% 67.99/9.78        v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~
% 67.99/9.78      (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~
% 67.99/9.78      (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~
% 67.99/9.78      (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~
% 67.99/9.78      (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~
% 67.99/9.78      (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) &
% 67.99/9.78      op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 67.99/9.78      op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 67.99/9.78      op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 67.99/9.78      op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 67.99/9.78      op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 67.99/9.78      op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 67.99/9.78      op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 67.99/9.78      & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 67.99/9.78      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 67.99/9.78      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 67.99/9.78  
% 67.99/9.78    (ax5)
% 67.99/9.78     ~ (e4 = e3) &  ~ (e4 = e2) &  ~ (e4 = e1) &  ~ (e4 = e0) &  ~ (e3 = e2) &  ~
% 67.99/9.78    (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~ (e1 = e0) & $i(e4)
% 67.99/9.78    & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 67.99/9.78  
% 67.99/9.78    (ax6)
% 67.99/9.78    op(e3, e3) = e4 & op(e3, e2) = e1 & op(e2, e2) = e3 & op(e1, e1) = e0 & $i(e4)
% 67.99/9.78    & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 67.99/9.78  
% 67.99/9.78    (co1)
% 68.34/9.81    $i(unit) & $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1:
% 68.34/9.81      $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] : 
% 68.34/9.81    ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ?
% 68.34/9.81    [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ?
% 68.34/9.81    [v17: $i] :  ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ?
% 68.34/9.81    [v22: $i] :  ? [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23
% 68.34/9.81      & op(e4, e2) = v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19
% 68.34/9.81      & op(e3, e3) = v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15
% 68.34/9.81      & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 68.34/9.81      & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 &
% 68.34/9.81      op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 &
% 68.34/9.81      op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) &
% 68.34/9.81      $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 68.34/9.81      $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 68.34/9.81      & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 68.34/9.81      ((v24 = e3 & v18 = e4 &  ~ (v23 = e4)) | (v24 = e3 & v18 = e4 &  ~ (v19 =
% 68.34/9.81            e3)) | (v24 = e2 & v12 = e4 &  ~ (v22 = e4)) | (v24 = e2 & v12 = e4 & 
% 68.34/9.81          ~ (v14 = e2)) | (v24 = e1 & v6 = e4 &  ~ (v21 = e4)) | (v24 = e1 & v6 =
% 68.34/9.81          e4 &  ~ (v9 = e1)) | (v24 = e0 & v0 = e4 &  ~ (v20 = e4)) | (v24 = e0 &
% 68.34/9.81          v0 = e4 &  ~ (v4 = e0)) | (v18 = e2 & v12 = e3 &  ~ (v17 = e3)) | (v18 =
% 68.34/9.81          e2 & v12 = e3 &  ~ (v13 = e2)) | (v18 = e1 & v6 = e3 &  ~ (v16 = e3)) |
% 68.34/9.81        (v18 = e1 & v6 = e3 &  ~ (v8 = e1)) | (v18 = e0 & v0 = e3 &  ~ (v15 = e3))
% 68.34/9.81        | (v18 = e0 & v0 = e3 &  ~ (v3 = e0)) | (v12 = e1 & v6 = e2 &  ~ (v11 =
% 68.34/9.81            e2)) | (v12 = e1 & v6 = e2 &  ~ (v7 = e1)) | (v12 = e0 & v0 = e2 &  ~
% 68.34/9.81          (v10 = e2)) | (v12 = e0 & v0 = e2 &  ~ (v2 = e0)) | (v6 = e0 & v0 = e1 &
% 68.34/9.81           ~ (v5 = e1)) | (v6 = e0 & v0 = e1 &  ~ (v1 = e0))) & ((( ~ (v24 = e4) |
% 68.34/9.81             ~ (unit = e4)) & ( ~ (v23 = e4) | (v24 = e3 &  ~ (unit = e4))) & ( ~
% 68.34/9.81            (v22 = e4) | (v24 = e2 &  ~ (unit = e4))) & ( ~ (v21 = e4) | (v24 = e1
% 68.34/9.81              &  ~ (unit = e4))) & ( ~ (v20 = e4) | (v24 = e0 &  ~ (unit = e4))) &
% 68.34/9.81          ( ~ (v19 = e4) |  ~ (unit = e4)) & ( ~ (v18 = e4) | (v19 = e3 &  ~ (unit
% 68.34/9.81                = e4))) & ( ~ (v17 = e4) | (v19 = e2 &  ~ (unit = e4))) & ( ~ (v16
% 68.34/9.81              = e4) | (v19 = e1 &  ~ (unit = e4))) & ( ~ (v15 = e4) | (v19 = e0 & 
% 68.34/9.81              ~ (unit = e4))) & ( ~ (v14 = e4) |  ~ (unit = e4)) & ( ~ (v13 = e4)
% 68.34/9.81            | (v14 = e3 &  ~ (unit = e4))) & ( ~ (v12 = e4) | (v14 = e2 &  ~ (unit
% 68.34/9.81                = e4))) & ( ~ (v11 = e4) | (v14 = e1 &  ~ (unit = e4))) & ( ~ (v10
% 68.34/9.81              = e4) | (v14 = e0 &  ~ (unit = e4))) & ( ~ (v9 = e4) |  ~ (unit =
% 68.34/9.81              e4)) & ( ~ (v8 = e4) | (v9 = e3 &  ~ (unit = e4))) & ( ~ (v7 = e4) |
% 68.34/9.81            (v9 = e2 &  ~ (unit = e4))) & ( ~ (v6 = e4) | (v9 = e1 &  ~ (unit =
% 68.34/9.81                e4))) & ( ~ (v5 = e4) | (v9 = e0 &  ~ (unit = e4))) & ( ~ (v4 =
% 68.34/9.81              e4) |  ~ (unit = e4)) & ( ~ (v3 = e4) | (v4 = e3 &  ~ (unit = e4)))
% 68.34/9.81          & ( ~ (v2 = e4) | (v4 = e2 &  ~ (unit = e4))) & ( ~ (v1 = e4) | (v4 = e1
% 68.34/9.81              &  ~ (unit = e4))) & ( ~ (v0 = e4) | (v4 = e0 &  ~ (unit = e4)))) |
% 68.34/9.81        (( ~ (v24 = e3) | (v23 = e4 &  ~ (unit = e3))) & ( ~ (v23 = e3) |  ~ (unit
% 68.34/9.81              = e3)) & ( ~ (v22 = e3) | (v23 = e2 &  ~ (unit = e3))) & ( ~ (v21 =
% 68.34/9.81              e3) | (v23 = e1 &  ~ (unit = e3))) & ( ~ (v20 = e3) | (v23 = e0 &  ~
% 68.34/9.81              (unit = e3))) & ( ~ (v19 = e3) | (v18 = e4 &  ~ (unit = e3))) & ( ~
% 68.34/9.81            (v18 = e3) |  ~ (unit = e3)) & ( ~ (v17 = e3) | (v18 = e2 &  ~ (unit =
% 68.34/9.81                e3))) & ( ~ (v16 = e3) | (v18 = e1 &  ~ (unit = e3))) & ( ~ (v15 =
% 68.34/9.81              e3) | (v18 = e0 &  ~ (unit = e3))) & ( ~ (v14 = e3) | (v13 = e4 &  ~
% 68.34/9.81              (unit = e3))) & ( ~ (v13 = e3) |  ~ (unit = e3)) & ( ~ (v12 = e3) |
% 68.34/9.81            (v13 = e2 &  ~ (unit = e3))) & ( ~ (v11 = e3) | (v13 = e1 &  ~ (unit =
% 68.34/9.81                e3))) & ( ~ (v10 = e3) | (v13 = e0 &  ~ (unit = e3))) & ( ~ (v9 =
% 68.34/9.81              e3) | (v8 = e4 &  ~ (unit = e3))) & ( ~ (v8 = e3) |  ~ (unit = e3))
% 68.34/9.81          & ( ~ (v7 = e3) | (v8 = e2 &  ~ (unit = e3))) & ( ~ (v6 = e3) | (v8 = e1
% 68.34/9.81              &  ~ (unit = e3))) & ( ~ (v5 = e3) | (v8 = e0 &  ~ (unit = e3))) & (
% 68.34/9.81            ~ (v4 = e3) | (v3 = e4 &  ~ (unit = e3))) & ( ~ (v3 = e3) |  ~ (unit =
% 68.34/9.81              e3)) & ( ~ (v2 = e3) | (v3 = e2 &  ~ (unit = e3))) & ( ~ (v1 = e3) |
% 68.34/9.81            (v3 = e1 &  ~ (unit = e3))) & ( ~ (v0 = e3) | (v3 = e0 &  ~ (unit =
% 68.34/9.81                e3)))) | (( ~ (v24 = e2) | (v22 = e4 &  ~ (unit = e2))) & ( ~ (v23
% 68.34/9.81              = e2) | (v22 = e3 &  ~ (unit = e2))) & ( ~ (v22 = e2) |  ~ (unit =
% 68.34/9.81              e2)) & ( ~ (v21 = e2) | (v22 = e1 &  ~ (unit = e2))) & ( ~ (v20 =
% 68.34/9.81              e2) | (v22 = e0 &  ~ (unit = e2))) & ( ~ (v19 = e2) | (v17 = e4 &  ~
% 68.34/9.81              (unit = e2))) & ( ~ (v18 = e2) | (v17 = e3 &  ~ (unit = e2))) & ( ~
% 68.34/9.81            (v17 = e2) |  ~ (unit = e2)) & ( ~ (v16 = e2) | (v17 = e1 &  ~ (unit =
% 68.34/9.81                e2))) & ( ~ (v15 = e2) | (v17 = e0 &  ~ (unit = e2))) & ( ~ (v14 =
% 68.34/9.81              e2) | (v12 = e4 &  ~ (unit = e2))) & ( ~ (v13 = e2) | (v12 = e3 &  ~
% 68.34/9.81              (unit = e2))) & ( ~ (v12 = e2) |  ~ (unit = e2)) & ( ~ (v11 = e2) |
% 68.34/9.81            (v12 = e1 &  ~ (unit = e2))) & ( ~ (v10 = e2) | (v12 = e0 &  ~ (unit =
% 68.34/9.81                e2))) & ( ~ (v9 = e2) | (v7 = e4 &  ~ (unit = e2))) & ( ~ (v8 =
% 68.34/9.81              e2) | (v7 = e3 &  ~ (unit = e2))) & ( ~ (v7 = e2) |  ~ (unit = e2))
% 68.34/9.81          & ( ~ (v6 = e2) | (v7 = e1 &  ~ (unit = e2))) & ( ~ (v5 = e2) | (v7 = e0
% 68.34/9.81              &  ~ (unit = e2))) & ( ~ (v4 = e2) | (v2 = e4 &  ~ (unit = e2))) & (
% 68.34/9.81            ~ (v3 = e2) | (v2 = e3 &  ~ (unit = e2))) & ( ~ (v2 = e2) |  ~ (unit =
% 68.34/9.81              e2)) & ( ~ (v1 = e2) | (v2 = e1 &  ~ (unit = e2))) & ( ~ (v0 = e2) |
% 68.34/9.81            (v2 = e0 &  ~ (unit = e2)))) | (( ~ (v24 = e1) | (v21 = e4 &  ~ (unit
% 68.34/9.81                = e1))) & ( ~ (v23 = e1) | (v21 = e3 &  ~ (unit = e1))) & ( ~ (v22
% 68.34/9.81              = e1) | (v21 = e2 &  ~ (unit = e1))) & ( ~ (v21 = e1) |  ~ (unit =
% 68.34/9.81              e1)) & ( ~ (v20 = e1) | (v21 = e0 &  ~ (unit = e1))) & ( ~ (v19 =
% 68.34/9.81              e1) | (v16 = e4 &  ~ (unit = e1))) & ( ~ (v18 = e1) | (v16 = e3 &  ~
% 68.34/9.81              (unit = e1))) & ( ~ (v17 = e1) | (v16 = e2 &  ~ (unit = e1))) & ( ~
% 68.34/9.81            (v16 = e1) |  ~ (unit = e1)) & ( ~ (v15 = e1) | (v16 = e0 &  ~ (unit =
% 68.34/9.81                e1))) & ( ~ (v14 = e1) | (v11 = e4 &  ~ (unit = e1))) & ( ~ (v13 =
% 68.34/9.81              e1) | (v11 = e3 &  ~ (unit = e1))) & ( ~ (v12 = e1) | (v11 = e2 &  ~
% 68.34/9.81              (unit = e1))) & ( ~ (v11 = e1) |  ~ (unit = e1)) & ( ~ (v10 = e1) |
% 68.34/9.81            (v11 = e0 &  ~ (unit = e1))) & ( ~ (v9 = e1) | (v6 = e4 &  ~ (unit =
% 68.34/9.81                e1))) & ( ~ (v8 = e1) | (v6 = e3 &  ~ (unit = e1))) & ( ~ (v7 =
% 68.34/9.81              e1) | (v6 = e2 &  ~ (unit = e1))) & ( ~ (v6 = e1) |  ~ (unit = e1))
% 68.34/9.81          & ( ~ (v5 = e1) | (v6 = e0 &  ~ (unit = e1))) & ( ~ (v4 = e1) | (v1 = e4
% 68.34/9.81              &  ~ (unit = e1))) & ( ~ (v3 = e1) | (v1 = e3 &  ~ (unit = e1))) & (
% 68.34/9.81            ~ (v2 = e1) | (v1 = e2 &  ~ (unit = e1))) & ( ~ (v1 = e1) |  ~ (unit =
% 68.34/9.81              e1)) & ( ~ (v0 = e1) | (v1 = e0 &  ~ (unit = e1)))) | (( ~ (v24 =
% 68.34/9.82              e0) | (v20 = e4 &  ~ (unit = e0))) & ( ~ (v23 = e0) | (v20 = e3 &  ~
% 68.34/9.82              (unit = e0))) & ( ~ (v22 = e0) | (v20 = e2 &  ~ (unit = e0))) & ( ~
% 68.34/9.82            (v21 = e0) | (v20 = e1 &  ~ (unit = e0))) & ( ~ (v20 = e0) |  ~ (unit
% 68.34/9.82              = e0)) & ( ~ (v19 = e0) | (v15 = e4 &  ~ (unit = e0))) & ( ~ (v18 =
% 68.34/9.82              e0) | (v15 = e3 &  ~ (unit = e0))) & ( ~ (v17 = e0) | (v15 = e2 &  ~
% 68.34/9.82              (unit = e0))) & ( ~ (v16 = e0) | (v15 = e1 &  ~ (unit = e0))) & ( ~
% 68.34/9.82            (v15 = e0) |  ~ (unit = e0)) & ( ~ (v14 = e0) | (v10 = e4 &  ~ (unit =
% 68.34/9.82                e0))) & ( ~ (v13 = e0) | (v10 = e3 &  ~ (unit = e0))) & ( ~ (v12 =
% 68.34/9.82              e0) | (v10 = e2 &  ~ (unit = e0))) & ( ~ (v11 = e0) | (v10 = e1 &  ~
% 68.34/9.82              (unit = e0))) & ( ~ (v10 = e0) |  ~ (unit = e0)) & ( ~ (v9 = e0) |
% 68.34/9.82            (v5 = e4 &  ~ (unit = e0))) & ( ~ (v8 = e0) | (v5 = e3 &  ~ (unit =
% 68.34/9.82                e0))) & ( ~ (v7 = e0) | (v5 = e2 &  ~ (unit = e0))) & ( ~ (v6 =
% 68.34/9.82              e0) | (v5 = e1 &  ~ (unit = e0))) & ( ~ (v5 = e0) |  ~ (unit = e0))
% 68.34/9.82          & ( ~ (v4 = e0) | (v0 = e4 &  ~ (unit = e0))) & ( ~ (v3 = e0) | (v0 = e3
% 68.34/9.82              &  ~ (unit = e0))) & ( ~ (v2 = e0) | (v0 = e2 &  ~ (unit = e0))) & (
% 68.34/9.82            ~ (v1 = e0) | (v0 = e1 &  ~ (unit = e0))) & ( ~ (v0 = e0) |  ~ (unit =
% 68.34/9.82              e0)))))
% 68.34/9.82  
% 68.34/9.82    (function-axioms)
% 68.34/9.82     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 68.34/9.82          v2) = v1) |  ~ (op(v3, v2) = v0))
% 68.34/9.82  
% 68.34/9.82  Those formulas are unsatisfiable:
% 68.34/9.82  ---------------------------------
% 68.34/9.82  
% 68.34/9.82  Begin of proof
% 68.34/9.82  | 
% 68.34/9.82  | ALPHA: (ax1) implies:
% 68.34/9.83  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 68.34/9.83  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 68.34/9.83  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 68.34/9.83  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 68.34/9.83  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 68.34/9.83  |        [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 68.34/9.83  |          op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 68.34/9.83  |          v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 68.34/9.83  |            e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 68.34/9.83  |          & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 68.34/9.83  |          v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 68.34/9.83  |          = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 68.34/9.83  |          & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 68.34/9.83  |          & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 68.34/9.83  |          & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 68.34/9.83  |          $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 68.34/9.83  |            | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 68.34/9.83  |            e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 68.34/9.83  |            = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 68.34/9.83  |            = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 68.34/9.83  |            = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 68.34/9.83  |            = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 68.34/9.83  |            = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 68.34/9.83  |          (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 68.34/9.83  |            v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 68.34/9.83  |            v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 68.34/9.83  |            v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 68.34/9.83  |            v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 68.34/9.83  |          & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 68.34/9.83  |            e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 68.34/9.83  |            v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 68.34/9.83  |            e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 68.34/9.83  |            | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 68.34/9.83  |            = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 68.34/9.83  |            | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 68.34/9.83  |          (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 68.34/9.83  | 
% 68.34/9.83  | ALPHA: (ax2) implies:
% 68.34/9.83  |   (2)  op(e0, unit) = e0
% 68.34/9.83  |   (3)  op(e1, unit) = e1
% 68.34/9.83  |   (4)  op(e2, unit) = e2
% 68.34/9.83  |   (5)  op(e3, unit) = e3
% 68.34/9.83  |   (6)  op(e4, unit) = e4
% 68.34/9.83  |   (7)  op(unit, e0) = e0
% 68.34/9.83  |   (8)  op(unit, e1) = e1
% 68.34/9.83  |   (9)  op(unit, e2) = e2
% 68.34/9.83  |   (10)  op(unit, e3) = e3
% 68.34/9.83  |   (11)  op(unit, e4) = e4
% 68.34/9.83  |   (12)  unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 68.34/9.83  | 
% 68.34/9.83  | ALPHA: (ax3) implies:
% 68.34/9.84  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 68.34/9.84  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 68.34/9.84  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 68.34/9.84  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 68.34/9.84  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 68.34/9.84  |         :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 68.34/9.84  |           v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3,
% 68.34/9.84  |             e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7
% 68.34/9.84  |           & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2,
% 68.34/9.84  |             e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11
% 68.34/9.84  |           & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4)
% 68.34/9.84  |           = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0,
% 68.34/9.84  |             e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 68.34/9.84  |           $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 68.34/9.84  |           & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 68.34/9.84  |           $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 |
% 68.34/9.84  |             v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 |
% 68.34/9.84  |             v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 |
% 68.34/9.84  |             v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 |
% 68.34/9.84  |             v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) &
% 68.34/9.84  |           (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 |
% 68.34/9.84  |             v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 |
% 68.34/9.84  |             v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 |
% 68.34/9.84  |             v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 |
% 68.34/9.84  |             v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 68.34/9.84  |           (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 |
% 68.34/9.84  |             v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 |
% 68.34/9.84  |             v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 |
% 68.34/9.84  |             v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 |
% 68.34/9.84  |             v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) &
% 68.34/9.84  |           (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 |
% 68.34/9.84  |             v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 |
% 68.34/9.84  |             v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 |
% 68.34/9.84  |             v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 |
% 68.34/9.84  |             v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 68.34/9.84  |           (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 |
% 68.34/9.84  |             v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 |
% 68.34/9.84  |             v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 |
% 68.34/9.84  |             v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 |
% 68.34/9.84  |             v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) &
% 68.34/9.84  |           (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 |
% 68.34/9.84  |             v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 |
% 68.34/9.84  |             v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 |
% 68.34/9.84  |             v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 |
% 68.34/9.84  |             v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 68.34/9.84  |           (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 |
% 68.34/9.84  |             v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 |
% 68.34/9.84  |             v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 |
% 68.34/9.84  |             v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 |
% 68.34/9.84  |             v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8
% 68.34/9.84  |             = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2
% 68.34/9.84  |             | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5
% 68.34/9.84  |             = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 =
% 68.34/9.84  |             e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2
% 68.34/9.84  |             | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2
% 68.34/9.84  |             = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 =
% 68.34/9.84  |                 e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 68.34/9.84  | 
% 68.34/9.84  | ALPHA: (ax4) implies:
% 68.34/9.85  |   (14)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 68.34/9.85  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 68.34/9.85  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 68.34/9.85  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 68.34/9.85  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 68.34/9.85  |         :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) & 
% 68.34/9.85  |           ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~
% 68.34/9.85  |           (v24 = v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~
% 68.34/9.85  |           (v23 = v18) &  ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~
% 68.34/9.85  |           (v22 = v21) &  ~ (v22 = v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~
% 68.34/9.85  |           (v22 = v7) &  ~ (v22 = v2) &  ~ (v21 = v20) &  ~ (v21 = v16) &  ~
% 68.34/9.85  |           (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 = v1) &  ~ (v20 = v15) &  ~
% 68.34/9.85  |           (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~ (v19 = v18) &  ~
% 68.34/9.85  |           (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 = v14) &  ~
% 68.34/9.85  |           (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) &  ~
% 68.34/9.85  |           (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~
% 68.34/9.85  |           (v17 = v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~
% 68.34/9.85  |           (v17 = v2) &  ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~
% 68.34/9.85  |           (v16 = v1) &  ~ (v15 = v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~
% 68.34/9.85  |           (v14 = v13) &  ~ (v14 = v12) &  ~ (v14 = v11) &  ~ (v14 = v10) &  ~
% 68.34/9.85  |           (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 = v12) &  ~ (v13 = v11) &  ~
% 68.34/9.85  |           (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) &  ~ (v12 = v11) &  ~
% 68.34/9.85  |           (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 = v10) &  ~
% 68.34/9.85  |           (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v9
% 68.34/9.85  |             = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4)
% 68.34/9.85  |           &  ~ (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7
% 68.34/9.85  |             = v6) &  ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1)
% 68.34/9.85  |           &  ~ (v5 = v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4
% 68.34/9.85  |             = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1)
% 68.34/9.85  |           &  ~ (v2 = v0) &  ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19
% 68.34/9.85  |           & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4)
% 68.34/9.85  |           = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 &
% 68.34/9.85  |           op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) =
% 68.34/9.85  |           v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1,
% 68.34/9.85  |             e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 68.34/9.85  |           op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1)
% 68.34/9.85  |           = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 68.34/9.85  |           $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 68.34/9.85  |           & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 68.34/9.85  |           $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 68.34/9.85  | 
% 68.34/9.85  | ALPHA: (ax5) implies:
% 68.34/9.85  |   (15)   ~ (e1 = e0)
% 68.34/9.85  |   (16)   ~ (e2 = e0)
% 68.34/9.85  |   (17)   ~ (e2 = e1)
% 68.34/9.85  |   (18)   ~ (e3 = e0)
% 68.34/9.85  |   (19)   ~ (e3 = e2)
% 68.34/9.85  |   (20)   ~ (e4 = e0)
% 68.34/9.85  |   (21)   ~ (e4 = e2)
% 68.34/9.85  |   (22)   ~ (e4 = e3)
% 68.34/9.85  | 
% 68.34/9.85  | ALPHA: (ax6) implies:
% 68.34/9.85  |   (23)  op(e1, e1) = e0
% 68.34/9.85  |   (24)  op(e2, e2) = e3
% 68.34/9.85  |   (25)  op(e3, e2) = e1
% 68.34/9.85  |   (26)  op(e3, e3) = e4
% 68.34/9.85  | 
% 68.34/9.85  | ALPHA: (co1) implies:
% 68.69/9.87  |   (27)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 68.69/9.87  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 68.69/9.87  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 68.69/9.87  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 68.69/9.87  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 68.69/9.87  |         :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 68.69/9.87  |           v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 &
% 68.69/9.87  |           op(e3, e3) = v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0)
% 68.69/9.87  |           = v15 & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 &
% 68.69/9.87  |           op(e2, e1) = v11 & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) =
% 68.69/9.87  |           v8 & op(e1, e2) = v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0,
% 68.69/9.87  |             e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 &
% 68.69/9.87  |           op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 68.69/9.87  |           $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 68.69/9.87  |           & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 68.69/9.87  |           $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v24 = e3 &
% 68.69/9.87  |               v18 = e4 &  ~ (v23 = e4)) | (v24 = e3 & v18 = e4 &  ~ (v19 =
% 68.69/9.87  |                 e3)) | (v24 = e2 & v12 = e4 &  ~ (v22 = e4)) | (v24 = e2 & v12
% 68.69/9.87  |               = e4 &  ~ (v14 = e2)) | (v24 = e1 & v6 = e4 &  ~ (v21 = e4)) |
% 68.69/9.87  |             (v24 = e1 & v6 = e4 &  ~ (v9 = e1)) | (v24 = e0 & v0 = e4 &  ~
% 68.69/9.87  |               (v20 = e4)) | (v24 = e0 & v0 = e4 &  ~ (v4 = e0)) | (v18 = e2 &
% 68.69/9.87  |               v12 = e3 &  ~ (v17 = e3)) | (v18 = e2 & v12 = e3 &  ~ (v13 =
% 68.69/9.87  |                 e2)) | (v18 = e1 & v6 = e3 &  ~ (v16 = e3)) | (v18 = e1 & v6 =
% 68.69/9.87  |               e3 &  ~ (v8 = e1)) | (v18 = e0 & v0 = e3 &  ~ (v15 = e3)) | (v18
% 68.69/9.87  |               = e0 & v0 = e3 &  ~ (v3 = e0)) | (v12 = e1 & v6 = e2 &  ~ (v11 =
% 68.69/9.87  |                 e2)) | (v12 = e1 & v6 = e2 &  ~ (v7 = e1)) | (v12 = e0 & v0 =
% 68.69/9.87  |               e2 &  ~ (v10 = e2)) | (v12 = e0 & v0 = e2 &  ~ (v2 = e0)) | (v6
% 68.69/9.87  |               = e0 & v0 = e1 &  ~ (v5 = e1)) | (v6 = e0 & v0 = e1 &  ~ (v1 =
% 68.69/9.87  |                 e0))) & ((( ~ (v24 = e4) |  ~ (unit = e4)) & ( ~ (v23 = e4) |
% 68.69/9.87  |                 (v24 = e3 &  ~ (unit = e4))) & ( ~ (v22 = e4) | (v24 = e2 &  ~
% 68.69/9.87  |                   (unit = e4))) & ( ~ (v21 = e4) | (v24 = e1 &  ~ (unit =
% 68.69/9.87  |                     e4))) & ( ~ (v20 = e4) | (v24 = e0 &  ~ (unit = e4))) & (
% 68.69/9.87  |                 ~ (v19 = e4) |  ~ (unit = e4)) & ( ~ (v18 = e4) | (v19 = e3 & 
% 68.69/9.87  |                   ~ (unit = e4))) & ( ~ (v17 = e4) | (v19 = e2 &  ~ (unit =
% 68.69/9.87  |                     e4))) & ( ~ (v16 = e4) | (v19 = e1 &  ~ (unit = e4))) & (
% 68.69/9.87  |                 ~ (v15 = e4) | (v19 = e0 &  ~ (unit = e4))) & ( ~ (v14 = e4) |
% 68.69/9.87  |                  ~ (unit = e4)) & ( ~ (v13 = e4) | (v14 = e3 &  ~ (unit =
% 68.69/9.87  |                     e4))) & ( ~ (v12 = e4) | (v14 = e2 &  ~ (unit = e4))) & (
% 68.69/9.87  |                 ~ (v11 = e4) | (v14 = e1 &  ~ (unit = e4))) & ( ~ (v10 = e4) |
% 68.69/9.87  |                 (v14 = e0 &  ~ (unit = e4))) & ( ~ (v9 = e4) |  ~ (unit = e4))
% 68.69/9.87  |               & ( ~ (v8 = e4) | (v9 = e3 &  ~ (unit = e4))) & ( ~ (v7 = e4) |
% 68.69/9.87  |                 (v9 = e2 &  ~ (unit = e4))) & ( ~ (v6 = e4) | (v9 = e1 &  ~
% 68.69/9.87  |                   (unit = e4))) & ( ~ (v5 = e4) | (v9 = e0 &  ~ (unit = e4)))
% 68.69/9.87  |               & ( ~ (v4 = e4) |  ~ (unit = e4)) & ( ~ (v3 = e4) | (v4 = e3 & 
% 68.69/9.87  |                   ~ (unit = e4))) & ( ~ (v2 = e4) | (v4 = e2 &  ~ (unit =
% 68.69/9.87  |                     e4))) & ( ~ (v1 = e4) | (v4 = e1 &  ~ (unit = e4))) & ( ~
% 68.69/9.87  |                 (v0 = e4) | (v4 = e0 &  ~ (unit = e4)))) | (( ~ (v24 = e3) |
% 68.69/9.87  |                 (v23 = e4 &  ~ (unit = e3))) & ( ~ (v23 = e3) |  ~ (unit =
% 68.69/9.87  |                   e3)) & ( ~ (v22 = e3) | (v23 = e2 &  ~ (unit = e3))) & ( ~
% 68.69/9.87  |                 (v21 = e3) | (v23 = e1 &  ~ (unit = e3))) & ( ~ (v20 = e3) |
% 68.69/9.87  |                 (v23 = e0 &  ~ (unit = e3))) & ( ~ (v19 = e3) | (v18 = e4 &  ~
% 68.69/9.87  |                   (unit = e3))) & ( ~ (v18 = e3) |  ~ (unit = e3)) & ( ~ (v17
% 68.69/9.87  |                   = e3) | (v18 = e2 &  ~ (unit = e3))) & ( ~ (v16 = e3) | (v18
% 68.69/9.87  |                   = e1 &  ~ (unit = e3))) & ( ~ (v15 = e3) | (v18 = e0 &  ~
% 68.69/9.87  |                   (unit = e3))) & ( ~ (v14 = e3) | (v13 = e4 &  ~ (unit =
% 68.69/9.87  |                     e3))) & ( ~ (v13 = e3) |  ~ (unit = e3)) & ( ~ (v12 = e3)
% 68.69/9.87  |                 | (v13 = e2 &  ~ (unit = e3))) & ( ~ (v11 = e3) | (v13 = e1 & 
% 68.69/9.87  |                   ~ (unit = e3))) & ( ~ (v10 = e3) | (v13 = e0 &  ~ (unit =
% 68.69/9.87  |                     e3))) & ( ~ (v9 = e3) | (v8 = e4 &  ~ (unit = e3))) & ( ~
% 68.69/9.87  |                 (v8 = e3) |  ~ (unit = e3)) & ( ~ (v7 = e3) | (v8 = e2 &  ~
% 68.69/9.87  |                   (unit = e3))) & ( ~ (v6 = e3) | (v8 = e1 &  ~ (unit = e3)))
% 68.69/9.87  |               & ( ~ (v5 = e3) | (v8 = e0 &  ~ (unit = e3))) & ( ~ (v4 = e3) |
% 68.69/9.87  |                 (v3 = e4 &  ~ (unit = e3))) & ( ~ (v3 = e3) |  ~ (unit = e3))
% 68.69/9.87  |               & ( ~ (v2 = e3) | (v3 = e2 &  ~ (unit = e3))) & ( ~ (v1 = e3) |
% 68.69/9.87  |                 (v3 = e1 &  ~ (unit = e3))) & ( ~ (v0 = e3) | (v3 = e0 &  ~
% 68.69/9.87  |                   (unit = e3)))) | (( ~ (v24 = e2) | (v22 = e4 &  ~ (unit =
% 68.69/9.87  |                     e2))) & ( ~ (v23 = e2) | (v22 = e3 &  ~ (unit = e2))) & (
% 68.71/9.87  |                 ~ (v22 = e2) |  ~ (unit = e2)) & ( ~ (v21 = e2) | (v22 = e1 & 
% 68.71/9.87  |                   ~ (unit = e2))) & ( ~ (v20 = e2) | (v22 = e0 &  ~ (unit =
% 68.71/9.87  |                     e2))) & ( ~ (v19 = e2) | (v17 = e4 &  ~ (unit = e2))) & (
% 68.71/9.87  |                 ~ (v18 = e2) | (v17 = e3 &  ~ (unit = e2))) & ( ~ (v17 = e2) |
% 68.71/9.87  |                  ~ (unit = e2)) & ( ~ (v16 = e2) | (v17 = e1 &  ~ (unit =
% 68.71/9.87  |                     e2))) & ( ~ (v15 = e2) | (v17 = e0 &  ~ (unit = e2))) & (
% 68.71/9.87  |                 ~ (v14 = e2) | (v12 = e4 &  ~ (unit = e2))) & ( ~ (v13 = e2) |
% 68.71/9.87  |                 (v12 = e3 &  ~ (unit = e2))) & ( ~ (v12 = e2) |  ~ (unit =
% 68.71/9.87  |                   e2)) & ( ~ (v11 = e2) | (v12 = e1 &  ~ (unit = e2))) & ( ~
% 68.71/9.87  |                 (v10 = e2) | (v12 = e0 &  ~ (unit = e2))) & ( ~ (v9 = e2) |
% 68.71/9.87  |                 (v7 = e4 &  ~ (unit = e2))) & ( ~ (v8 = e2) | (v7 = e3 &  ~
% 68.71/9.87  |                   (unit = e2))) & ( ~ (v7 = e2) |  ~ (unit = e2)) & ( ~ (v6 =
% 68.71/9.87  |                   e2) | (v7 = e1 &  ~ (unit = e2))) & ( ~ (v5 = e2) | (v7 = e0
% 68.71/9.87  |                   &  ~ (unit = e2))) & ( ~ (v4 = e2) | (v2 = e4 &  ~ (unit =
% 68.71/9.87  |                     e2))) & ( ~ (v3 = e2) | (v2 = e3 &  ~ (unit = e2))) & ( ~
% 68.71/9.87  |                 (v2 = e2) |  ~ (unit = e2)) & ( ~ (v1 = e2) | (v2 = e1 &  ~
% 68.71/9.87  |                   (unit = e2))) & ( ~ (v0 = e2) | (v2 = e0 &  ~ (unit = e2))))
% 68.71/9.87  |             | (( ~ (v24 = e1) | (v21 = e4 &  ~ (unit = e1))) & ( ~ (v23 = e1)
% 68.71/9.87  |                 | (v21 = e3 &  ~ (unit = e1))) & ( ~ (v22 = e1) | (v21 = e2 & 
% 68.71/9.87  |                   ~ (unit = e1))) & ( ~ (v21 = e1) |  ~ (unit = e1)) & ( ~
% 68.71/9.87  |                 (v20 = e1) | (v21 = e0 &  ~ (unit = e1))) & ( ~ (v19 = e1) |
% 68.71/9.87  |                 (v16 = e4 &  ~ (unit = e1))) & ( ~ (v18 = e1) | (v16 = e3 &  ~
% 68.71/9.87  |                   (unit = e1))) & ( ~ (v17 = e1) | (v16 = e2 &  ~ (unit =
% 68.71/9.87  |                     e1))) & ( ~ (v16 = e1) |  ~ (unit = e1)) & ( ~ (v15 = e1)
% 68.71/9.87  |                 | (v16 = e0 &  ~ (unit = e1))) & ( ~ (v14 = e1) | (v11 = e4 & 
% 68.71/9.87  |                   ~ (unit = e1))) & ( ~ (v13 = e1) | (v11 = e3 &  ~ (unit =
% 68.71/9.87  |                     e1))) & ( ~ (v12 = e1) | (v11 = e2 &  ~ (unit = e1))) & (
% 68.71/9.87  |                 ~ (v11 = e1) |  ~ (unit = e1)) & ( ~ (v10 = e1) | (v11 = e0 & 
% 68.71/9.87  |                   ~ (unit = e1))) & ( ~ (v9 = e1) | (v6 = e4 &  ~ (unit =
% 68.71/9.87  |                     e1))) & ( ~ (v8 = e1) | (v6 = e3 &  ~ (unit = e1))) & ( ~
% 68.71/9.87  |                 (v7 = e1) | (v6 = e2 &  ~ (unit = e1))) & ( ~ (v6 = e1) |  ~
% 68.71/9.87  |                 (unit = e1)) & ( ~ (v5 = e1) | (v6 = e0 &  ~ (unit = e1))) & (
% 68.71/9.87  |                 ~ (v4 = e1) | (v1 = e4 &  ~ (unit = e1))) & ( ~ (v3 = e1) |
% 68.71/9.87  |                 (v1 = e3 &  ~ (unit = e1))) & ( ~ (v2 = e1) | (v1 = e2 &  ~
% 68.71/9.87  |                   (unit = e1))) & ( ~ (v1 = e1) |  ~ (unit = e1)) & ( ~ (v0 =
% 68.71/9.87  |                   e1) | (v1 = e0 &  ~ (unit = e1)))) | (( ~ (v24 = e0) | (v20
% 68.71/9.87  |                   = e4 &  ~ (unit = e0))) & ( ~ (v23 = e0) | (v20 = e3 &  ~
% 68.71/9.87  |                   (unit = e0))) & ( ~ (v22 = e0) | (v20 = e2 &  ~ (unit =
% 68.71/9.87  |                     e0))) & ( ~ (v21 = e0) | (v20 = e1 &  ~ (unit = e0))) & (
% 68.71/9.87  |                 ~ (v20 = e0) |  ~ (unit = e0)) & ( ~ (v19 = e0) | (v15 = e4 & 
% 68.71/9.87  |                   ~ (unit = e0))) & ( ~ (v18 = e0) | (v15 = e3 &  ~ (unit =
% 68.71/9.87  |                     e0))) & ( ~ (v17 = e0) | (v15 = e2 &  ~ (unit = e0))) & (
% 68.71/9.87  |                 ~ (v16 = e0) | (v15 = e1 &  ~ (unit = e0))) & ( ~ (v15 = e0) |
% 68.71/9.87  |                  ~ (unit = e0)) & ( ~ (v14 = e0) | (v10 = e4 &  ~ (unit =
% 68.71/9.87  |                     e0))) & ( ~ (v13 = e0) | (v10 = e3 &  ~ (unit = e0))) & (
% 68.71/9.87  |                 ~ (v12 = e0) | (v10 = e2 &  ~ (unit = e0))) & ( ~ (v11 = e0) |
% 68.71/9.87  |                 (v10 = e1 &  ~ (unit = e0))) & ( ~ (v10 = e0) |  ~ (unit =
% 68.71/9.87  |                   e0)) & ( ~ (v9 = e0) | (v5 = e4 &  ~ (unit = e0))) & ( ~ (v8
% 68.71/9.87  |                   = e0) | (v5 = e3 &  ~ (unit = e0))) & ( ~ (v7 = e0) | (v5 =
% 68.71/9.87  |                   e2 &  ~ (unit = e0))) & ( ~ (v6 = e0) | (v5 = e1 &  ~ (unit
% 68.71/9.87  |                     = e0))) & ( ~ (v5 = e0) |  ~ (unit = e0)) & ( ~ (v4 = e0)
% 68.71/9.87  |                 | (v0 = e4 &  ~ (unit = e0))) & ( ~ (v3 = e0) | (v0 = e3 &  ~
% 68.71/9.87  |                   (unit = e0))) & ( ~ (v2 = e0) | (v0 = e2 &  ~ (unit = e0)))
% 68.71/9.87  |               & ( ~ (v1 = e0) | (v0 = e1 &  ~ (unit = e0))) & ( ~ (v0 = e0) | 
% 68.71/9.87  |                 ~ (unit = e0)))))
% 68.71/9.87  | 
% 68.71/9.87  | DELTA: instantiating (14) with fresh symbols all_4_0, all_4_1, all_4_2,
% 68.71/9.87  |        all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 68.71/9.87  |        all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 68.71/9.87  |        all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 68.71/9.87  |        all_4_24 gives:
% 68.71/9.88  |   (28)   ~ (all_4_0 = all_4_1) &  ~ (all_4_0 = all_4_2) &  ~ (all_4_0 =
% 68.71/9.88  |           all_4_3) &  ~ (all_4_0 = all_4_4) &  ~ (all_4_0 = all_4_5) &  ~
% 68.71/9.88  |         (all_4_0 = all_4_10) &  ~ (all_4_0 = all_4_15) &  ~ (all_4_0 =
% 68.71/9.88  |           all_4_20) &  ~ (all_4_1 = all_4_2) &  ~ (all_4_1 = all_4_3) &  ~
% 68.71/9.88  |         (all_4_1 = all_4_4) &  ~ (all_4_1 = all_4_6) &  ~ (all_4_1 = all_4_11)
% 68.71/9.88  |         &  ~ (all_4_1 = all_4_16) &  ~ (all_4_1 = all_4_21) &  ~ (all_4_2 =
% 68.71/9.88  |           all_4_3) &  ~ (all_4_2 = all_4_4) &  ~ (all_4_2 = all_4_7) &  ~
% 68.71/9.88  |         (all_4_2 = all_4_12) &  ~ (all_4_2 = all_4_17) &  ~ (all_4_2 =
% 68.71/9.88  |           all_4_22) &  ~ (all_4_3 = all_4_4) &  ~ (all_4_3 = all_4_8) &  ~
% 68.71/9.88  |         (all_4_3 = all_4_13) &  ~ (all_4_3 = all_4_18) &  ~ (all_4_3 =
% 68.71/9.88  |           all_4_23) &  ~ (all_4_4 = all_4_9) &  ~ (all_4_4 = all_4_14) &  ~
% 68.71/9.88  |         (all_4_4 = all_4_19) &  ~ (all_4_4 = all_4_24) &  ~ (all_4_5 =
% 68.71/9.88  |           all_4_6) &  ~ (all_4_5 = all_4_7) &  ~ (all_4_5 = all_4_8) &  ~
% 68.71/9.88  |         (all_4_5 = all_4_9) &  ~ (all_4_5 = all_4_10) &  ~ (all_4_5 =
% 68.71/9.88  |           all_4_15) &  ~ (all_4_5 = all_4_20) &  ~ (all_4_6 = all_4_7) &  ~
% 68.71/9.88  |         (all_4_6 = all_4_8) &  ~ (all_4_6 = all_4_9) &  ~ (all_4_6 = all_4_11)
% 68.71/9.88  |         &  ~ (all_4_6 = all_4_16) &  ~ (all_4_6 = all_4_21) &  ~ (all_4_7 =
% 68.71/9.88  |           all_4_8) &  ~ (all_4_7 = all_4_9) &  ~ (all_4_7 = all_4_12) &  ~
% 68.71/9.88  |         (all_4_7 = all_4_17) &  ~ (all_4_7 = all_4_22) &  ~ (all_4_8 =
% 68.71/9.88  |           all_4_9) &  ~ (all_4_8 = all_4_13) &  ~ (all_4_8 = all_4_18) &  ~
% 68.71/9.88  |         (all_4_8 = all_4_23) &  ~ (all_4_9 = all_4_14) &  ~ (all_4_9 =
% 68.71/9.88  |           all_4_19) &  ~ (all_4_9 = all_4_24) &  ~ (all_4_10 = all_4_11) &  ~
% 68.71/9.88  |         (all_4_10 = all_4_12) &  ~ (all_4_10 = all_4_13) &  ~ (all_4_10 =
% 68.71/9.88  |           all_4_14) &  ~ (all_4_10 = all_4_15) &  ~ (all_4_10 = all_4_20) &  ~
% 68.71/9.88  |         (all_4_11 = all_4_12) &  ~ (all_4_11 = all_4_13) &  ~ (all_4_11 =
% 68.71/9.88  |           all_4_14) &  ~ (all_4_11 = all_4_16) &  ~ (all_4_11 = all_4_21) &  ~
% 68.71/9.88  |         (all_4_12 = all_4_13) &  ~ (all_4_12 = all_4_14) &  ~ (all_4_12 =
% 68.71/9.88  |           all_4_17) &  ~ (all_4_12 = all_4_22) &  ~ (all_4_13 = all_4_14) &  ~
% 68.71/9.88  |         (all_4_13 = all_4_18) &  ~ (all_4_13 = all_4_23) &  ~ (all_4_14 =
% 68.71/9.88  |           all_4_19) &  ~ (all_4_14 = all_4_24) &  ~ (all_4_15 = all_4_16) &  ~
% 68.71/9.88  |         (all_4_15 = all_4_17) &  ~ (all_4_15 = all_4_18) &  ~ (all_4_15 =
% 68.71/9.88  |           all_4_19) &  ~ (all_4_15 = all_4_20) &  ~ (all_4_16 = all_4_17) &  ~
% 68.71/9.88  |         (all_4_16 = all_4_18) &  ~ (all_4_16 = all_4_19) &  ~ (all_4_16 =
% 68.71/9.88  |           all_4_21) &  ~ (all_4_17 = all_4_18) &  ~ (all_4_17 = all_4_19) &  ~
% 68.71/9.88  |         (all_4_17 = all_4_22) &  ~ (all_4_18 = all_4_19) &  ~ (all_4_18 =
% 68.71/9.88  |           all_4_23) &  ~ (all_4_19 = all_4_24) &  ~ (all_4_20 = all_4_21) &  ~
% 68.71/9.88  |         (all_4_20 = all_4_22) &  ~ (all_4_20 = all_4_23) &  ~ (all_4_20 =
% 68.71/9.88  |           all_4_24) &  ~ (all_4_21 = all_4_22) &  ~ (all_4_21 = all_4_23) &  ~
% 68.71/9.88  |         (all_4_21 = all_4_24) &  ~ (all_4_22 = all_4_23) &  ~ (all_4_22 =
% 68.71/9.88  |           all_4_24) &  ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 68.71/9.88  |           e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 68.71/9.88  |         op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 68.71/9.88  |         op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 68.71/9.88  |         & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 68.71/9.88  |         & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 68.71/9.88  |         & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 68.71/9.88  |         & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 68.71/9.88  |         & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 68.71/9.88  |         all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 68.71/9.88  |         $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 68.71/9.88  |         $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 68.71/9.88  |         $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 68.71/9.88  |         $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 68.71/9.88  |         $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 68.71/9.88  | 
% 68.71/9.88  | ALPHA: (28) implies:
% 68.71/9.88  |   (29)   ~ (all_4_23 = all_4_24)
% 68.71/9.88  |   (30)   ~ (all_4_22 = all_4_24)
% 68.71/9.88  |   (31)   ~ (all_4_22 = all_4_23)
% 68.71/9.88  |   (32)   ~ (all_4_21 = all_4_24)
% 68.71/9.88  |   (33)   ~ (all_4_21 = all_4_23)
% 68.71/9.88  |   (34)   ~ (all_4_21 = all_4_22)
% 68.71/9.88  |   (35)   ~ (all_4_20 = all_4_24)
% 68.71/9.88  |   (36)   ~ (all_4_20 = all_4_23)
% 68.71/9.88  |   (37)   ~ (all_4_20 = all_4_22)
% 68.71/9.88  |   (38)   ~ (all_4_20 = all_4_21)
% 68.71/9.88  |   (39)   ~ (all_4_19 = all_4_24)
% 68.71/9.88  |   (40)   ~ (all_4_18 = all_4_23)
% 68.71/9.88  |   (41)   ~ (all_4_18 = all_4_19)
% 68.71/9.88  |   (42)   ~ (all_4_17 = all_4_22)
% 68.71/9.88  |   (43)   ~ (all_4_17 = all_4_19)
% 68.71/9.88  |   (44)   ~ (all_4_17 = all_4_18)
% 68.71/9.88  |   (45)   ~ (all_4_16 = all_4_21)
% 68.71/9.88  |   (46)   ~ (all_4_16 = all_4_19)
% 68.71/9.88  |   (47)   ~ (all_4_16 = all_4_18)
% 68.71/9.88  |   (48)   ~ (all_4_16 = all_4_17)
% 68.71/9.88  |   (49)   ~ (all_4_15 = all_4_20)
% 68.71/9.88  |   (50)   ~ (all_4_15 = all_4_19)
% 68.71/9.88  |   (51)   ~ (all_4_15 = all_4_18)
% 68.71/9.88  |   (52)   ~ (all_4_15 = all_4_17)
% 68.71/9.88  |   (53)   ~ (all_4_15 = all_4_16)
% 68.71/9.88  |   (54)   ~ (all_4_14 = all_4_24)
% 68.71/9.88  |   (55)   ~ (all_4_14 = all_4_19)
% 68.71/9.88  |   (56)   ~ (all_4_13 = all_4_23)
% 68.71/9.88  |   (57)   ~ (all_4_13 = all_4_18)
% 68.71/9.88  |   (58)   ~ (all_4_13 = all_4_14)
% 68.71/9.88  |   (59)   ~ (all_4_12 = all_4_22)
% 68.71/9.88  |   (60)   ~ (all_4_12 = all_4_17)
% 68.71/9.88  |   (61)   ~ (all_4_12 = all_4_14)
% 68.71/9.88  |   (62)   ~ (all_4_12 = all_4_13)
% 68.71/9.88  |   (63)   ~ (all_4_11 = all_4_21)
% 68.71/9.88  |   (64)   ~ (all_4_11 = all_4_16)
% 68.71/9.88  |   (65)   ~ (all_4_11 = all_4_14)
% 68.71/9.88  |   (66)   ~ (all_4_11 = all_4_13)
% 68.71/9.88  |   (67)   ~ (all_4_11 = all_4_12)
% 68.71/9.88  |   (68)   ~ (all_4_10 = all_4_20)
% 68.71/9.88  |   (69)   ~ (all_4_10 = all_4_15)
% 68.71/9.88  |   (70)   ~ (all_4_10 = all_4_14)
% 68.71/9.88  |   (71)   ~ (all_4_10 = all_4_13)
% 68.71/9.88  |   (72)   ~ (all_4_10 = all_4_12)
% 68.71/9.88  |   (73)   ~ (all_4_10 = all_4_11)
% 68.71/9.89  |   (74)   ~ (all_4_9 = all_4_24)
% 68.71/9.89  |   (75)   ~ (all_4_9 = all_4_19)
% 68.71/9.89  |   (76)   ~ (all_4_9 = all_4_14)
% 68.71/9.89  |   (77)   ~ (all_4_8 = all_4_23)
% 68.71/9.89  |   (78)   ~ (all_4_8 = all_4_18)
% 68.71/9.89  |   (79)   ~ (all_4_8 = all_4_13)
% 68.71/9.89  |   (80)   ~ (all_4_8 = all_4_9)
% 68.71/9.89  |   (81)   ~ (all_4_7 = all_4_22)
% 68.71/9.89  |   (82)   ~ (all_4_7 = all_4_17)
% 68.71/9.89  |   (83)   ~ (all_4_7 = all_4_12)
% 68.71/9.89  |   (84)   ~ (all_4_7 = all_4_9)
% 68.71/9.89  |   (85)   ~ (all_4_7 = all_4_8)
% 68.71/9.89  |   (86)   ~ (all_4_6 = all_4_21)
% 68.71/9.89  |   (87)   ~ (all_4_6 = all_4_16)
% 68.71/9.89  |   (88)   ~ (all_4_6 = all_4_11)
% 68.71/9.89  |   (89)   ~ (all_4_6 = all_4_9)
% 68.71/9.89  |   (90)   ~ (all_4_6 = all_4_8)
% 68.71/9.89  |   (91)   ~ (all_4_6 = all_4_7)
% 68.71/9.89  |   (92)   ~ (all_4_5 = all_4_20)
% 68.71/9.89  |   (93)   ~ (all_4_5 = all_4_15)
% 68.71/9.89  |   (94)   ~ (all_4_5 = all_4_10)
% 68.71/9.89  |   (95)   ~ (all_4_5 = all_4_9)
% 68.71/9.89  |   (96)   ~ (all_4_5 = all_4_8)
% 68.71/9.89  |   (97)   ~ (all_4_5 = all_4_7)
% 68.71/9.89  |   (98)   ~ (all_4_5 = all_4_6)
% 68.71/9.89  |   (99)   ~ (all_4_4 = all_4_24)
% 68.71/9.89  |   (100)   ~ (all_4_4 = all_4_19)
% 68.71/9.89  |   (101)   ~ (all_4_4 = all_4_14)
% 68.71/9.89  |   (102)   ~ (all_4_4 = all_4_9)
% 68.71/9.89  |   (103)   ~ (all_4_3 = all_4_23)
% 68.71/9.89  |   (104)   ~ (all_4_3 = all_4_18)
% 68.71/9.89  |   (105)   ~ (all_4_3 = all_4_13)
% 68.71/9.89  |   (106)   ~ (all_4_3 = all_4_8)
% 68.71/9.89  |   (107)   ~ (all_4_3 = all_4_4)
% 68.71/9.89  |   (108)   ~ (all_4_2 = all_4_22)
% 68.71/9.89  |   (109)   ~ (all_4_2 = all_4_17)
% 68.71/9.89  |   (110)   ~ (all_4_2 = all_4_12)
% 68.71/9.89  |   (111)   ~ (all_4_2 = all_4_7)
% 68.71/9.89  |   (112)   ~ (all_4_2 = all_4_4)
% 68.71/9.89  |   (113)   ~ (all_4_2 = all_4_3)
% 68.71/9.89  |   (114)   ~ (all_4_1 = all_4_21)
% 68.71/9.89  |   (115)   ~ (all_4_1 = all_4_16)
% 68.71/9.89  |   (116)   ~ (all_4_1 = all_4_11)
% 68.71/9.89  |   (117)   ~ (all_4_1 = all_4_6)
% 68.71/9.89  |   (118)   ~ (all_4_1 = all_4_4)
% 68.71/9.89  |   (119)   ~ (all_4_1 = all_4_3)
% 68.71/9.89  |   (120)   ~ (all_4_1 = all_4_2)
% 68.71/9.89  |   (121)   ~ (all_4_0 = all_4_20)
% 68.71/9.89  |   (122)   ~ (all_4_0 = all_4_15)
% 68.71/9.89  |   (123)   ~ (all_4_0 = all_4_10)
% 68.71/9.89  |   (124)   ~ (all_4_0 = all_4_5)
% 68.71/9.89  |   (125)   ~ (all_4_0 = all_4_4)
% 68.71/9.89  |   (126)   ~ (all_4_0 = all_4_3)
% 68.71/9.89  |   (127)   ~ (all_4_0 = all_4_2)
% 68.71/9.89  |   (128)   ~ (all_4_0 = all_4_1)
% 68.71/9.89  |   (129)  op(e0, e0) = all_4_24
% 68.71/9.89  |   (130)  op(e0, e1) = all_4_19
% 68.71/9.89  |   (131)  op(e0, e2) = all_4_14
% 68.71/9.89  |   (132)  op(e0, e3) = all_4_9
% 68.71/9.89  |   (133)  op(e0, e4) = all_4_4
% 68.71/9.89  |   (134)  op(e1, e0) = all_4_23
% 68.71/9.89  |   (135)  op(e1, e1) = all_4_18
% 68.71/9.89  |   (136)  op(e1, e2) = all_4_13
% 68.71/9.89  |   (137)  op(e1, e3) = all_4_8
% 68.71/9.89  |   (138)  op(e1, e4) = all_4_3
% 68.71/9.89  |   (139)  op(e2, e0) = all_4_22
% 68.71/9.89  |   (140)  op(e2, e1) = all_4_17
% 68.71/9.89  |   (141)  op(e2, e2) = all_4_12
% 68.71/9.89  |   (142)  op(e2, e3) = all_4_7
% 68.71/9.89  |   (143)  op(e2, e4) = all_4_2
% 68.71/9.89  |   (144)  op(e3, e0) = all_4_21
% 68.71/9.89  |   (145)  op(e3, e1) = all_4_16
% 68.71/9.89  |   (146)  op(e3, e2) = all_4_11
% 68.71/9.89  |   (147)  op(e3, e3) = all_4_6
% 68.71/9.89  |   (148)  op(e3, e4) = all_4_1
% 68.71/9.89  |   (149)  op(e4, e0) = all_4_20
% 68.71/9.89  |   (150)  op(e4, e1) = all_4_15
% 68.71/9.89  |   (151)  op(e4, e2) = all_4_10
% 68.71/9.89  |   (152)  op(e4, e3) = all_4_5
% 68.71/9.89  |   (153)  op(e4, e4) = all_4_0
% 68.71/9.89  | 
% 68.71/9.89  | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 68.71/9.89  |        all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 68.71/9.89  |        all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 68.71/9.89  |        all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 68.71/9.89  |        all_6_24 gives:
% 68.71/9.90  |   (154)  op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 68.71/9.90  |          op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 68.71/9.90  |          op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 68.71/9.90  |          op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 68.71/9.90  |          & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 68.71/9.90  |          all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 68.71/9.90  |          = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 68.71/9.90  |            e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 68.71/9.90  |          op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 68.71/9.90  |          $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 68.71/9.90  |          $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 68.71/9.90  |          & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 68.71/9.90  |          $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 68.71/9.90  |          $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 68.71/9.90  |          $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 68.71/9.90  |            = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 68.71/9.90  |            | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 68.71/9.90  |            all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 68.71/9.90  |          (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 68.71/9.90  |            = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 68.71/9.90  |            | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 68.71/9.90  |            all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 68.71/9.90  |            all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 68.71/9.90  |            all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 68.71/9.90  |          (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 68.71/9.90  |            = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 68.71/9.90  |            | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 68.71/9.90  |            all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 68.71/9.90  |            all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 68.71/9.90  |            all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 68.71/9.90  |          (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 68.71/9.90  |            all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 68.71/9.90  |            all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 68.71/9.90  |            all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 68.71/9.90  |            all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 68.71/9.90  |          (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 68.71/9.90  |            all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 68.71/9.90  |            all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 68.71/9.90  |            all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 68.71/9.90  |            all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 68.71/9.90  |          (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 68.71/9.90  |            all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 68.71/9.90  |            all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 68.71/9.90  |            all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 68.71/9.90  |            all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 68.71/9.90  | 
% 68.71/9.90  | ALPHA: (154) implies:
% 68.71/9.90  |   (155)  op(e0, e1) = all_6_23
% 68.71/9.90  |   (156)  op(e0, e2) = all_6_22
% 68.71/9.90  |   (157)  op(e0, e3) = all_6_21
% 68.71/9.90  |   (158)  op(e0, e4) = all_6_20
% 68.71/9.90  |   (159)  op(e1, e0) = all_6_19
% 68.71/9.90  |   (160)  op(e1, e1) = all_6_18
% 68.71/9.90  |   (161)  op(e1, e2) = all_6_17
% 68.71/9.90  |   (162)  op(e1, e3) = all_6_16
% 68.71/9.90  |   (163)  op(e1, e4) = all_6_15
% 68.71/9.90  |   (164)  op(e2, e0) = all_6_14
% 68.71/9.90  |   (165)  op(e2, e1) = all_6_13
% 68.71/9.90  |   (166)  op(e2, e2) = all_6_12
% 68.71/9.90  |   (167)  op(e2, e3) = all_6_11
% 68.71/9.90  |   (168)  op(e2, e4) = all_6_10
% 68.71/9.90  |   (169)  op(e3, e0) = all_6_9
% 68.71/9.90  |   (170)  op(e3, e1) = all_6_8
% 68.71/9.90  |   (171)  op(e3, e2) = all_6_7
% 68.71/9.90  |   (172)  op(e3, e3) = all_6_6
% 68.71/9.90  |   (173)  op(e3, e4) = all_6_5
% 68.83/9.90  |   (174)  op(e4, e0) = all_6_4
% 68.83/9.90  |   (175)  op(e4, e1) = all_6_3
% 68.83/9.90  |   (176)  op(e4, e2) = all_6_2
% 68.83/9.90  |   (177)  op(e4, e3) = all_6_1
% 68.83/9.90  |   (178)  op(e4, e4) = all_6_0
% 68.83/9.90  |   (179)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 68.83/9.90  |          all_6_23 = e0
% 68.83/9.90  |   (180)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 |
% 68.83/9.90  |          all_6_22 = e0
% 68.83/9.90  |   (181)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 68.83/9.90  |          all_6_21 = e0
% 68.83/9.90  |   (182)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 68.83/9.90  |          all_6_20 = e0
% 68.83/9.90  |   (183)  all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 |
% 68.83/9.90  |          all_6_19 = e0
% 68.83/9.90  |   (184)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 68.83/9.90  |          all_6_17 = e0
% 68.83/9.90  |   (185)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 68.83/9.90  |          all_6_16 = e0
% 68.83/9.90  |   (186)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 68.83/9.90  |          all_6_15 = e0
% 68.83/9.90  |   (187)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 |
% 68.83/9.90  |          all_6_14 = e0
% 68.83/9.90  |   (188)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 68.83/9.90  |          all_6_13 = e0
% 68.83/9.90  |   (189)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 68.83/9.90  |          all_6_11 = e0
% 68.83/9.90  |   (190)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 68.83/9.90  |          all_6_10 = e0
% 68.83/9.90  |   (191)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (192)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (193)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (194)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (195)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (196)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (197)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 68.83/9.90  |          e0
% 68.83/9.90  |   (198)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 =
% 68.83/9.90  |          e0
% 68.83/9.90  | 
% 68.83/9.90  | DELTA: instantiating (13) with fresh symbols all_8_0, all_8_1, all_8_2,
% 68.83/9.90  |        all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 68.83/9.90  |        all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 68.83/9.90  |        all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 68.83/9.90  |        all_8_24 gives:
% 68.83/9.91  |   (199)  op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_4 &
% 68.83/9.91  |          op(e4, e1) = all_8_9 & op(e4, e0) = all_8_16 & op(e3, e4) = all_8_2 &
% 68.83/9.91  |          op(e3, e3) = all_8_3 & op(e3, e2) = all_8_5 & op(e3, e1) = all_8_10 &
% 68.83/9.91  |          op(e3, e0) = all_8_17 & op(e2, e4) = all_8_6 & op(e2, e3) = all_8_7 &
% 68.83/9.91  |          op(e2, e2) = all_8_8 & op(e2, e1) = all_8_11 & op(e2, e0) = all_8_18
% 68.83/9.91  |          & op(e1, e4) = all_8_12 & op(e1, e3) = all_8_13 & op(e1, e2) =
% 68.83/9.91  |          all_8_14 & op(e1, e1) = all_8_15 & op(e1, e0) = all_8_19 & op(e0, e4)
% 68.83/9.91  |          = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 & op(e0,
% 68.83/9.91  |            e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) & $i(all_8_1)
% 68.83/9.91  |          & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6)
% 68.83/9.91  |          & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) &
% 68.83/9.91  |          $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) &
% 68.83/9.91  |          $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) &
% 68.83/9.91  |          $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) &
% 68.83/9.91  |          $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_1 = e4 | all_8_4
% 68.83/9.91  |            = e4 | all_8_9 = e4 | all_8_16 = e4) & (all_8_0 = e4 | all_8_2 = e4
% 68.83/9.91  |            | all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4) & (all_8_0 = e3 |
% 68.83/9.91  |            all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3) &
% 68.83/9.91  |          (all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 68.83/9.91  |            all_8_20 = e3) & (all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 |
% 68.83/9.91  |            all_8_9 = e2 | all_8_16 = e2) & (all_8_0 = e2 | all_8_2 = e2 |
% 68.83/9.91  |            all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2) & (all_8_0 = e1 |
% 68.83/9.91  |            all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1) &
% 68.83/9.91  |          (all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 68.83/9.91  |            all_8_20 = e1) & (all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 |
% 68.83/9.91  |            all_8_9 = e0 | all_8_16 = e0) & (all_8_0 = e0 | all_8_2 = e0 |
% 68.83/9.91  |            all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0) & (all_8_1 = e4 |
% 68.83/9.91  |            all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4) &
% 68.83/9.91  |          (all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 68.83/9.91  |            all_8_21 = e3) & (all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 |
% 68.83/9.91  |            all_8_13 = e2 | all_8_21 = e2) & (all_8_1 = e1 | all_8_3 = e1 |
% 68.83/9.91  |            all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1) & (all_8_1 = e0 |
% 68.83/9.91  |            all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0) &
% 68.83/9.91  |          (all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 68.83/9.91  |            all_8_17 = e4) & (all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 |
% 68.83/9.91  |            all_8_10 = e3 | all_8_17 = e3) & (all_8_2 = e2 | all_8_3 = e2 |
% 68.83/9.91  |            all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2) & (all_8_2 = e1 |
% 68.83/9.91  |            all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1) &
% 68.83/9.91  |          (all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 68.83/9.91  |            all_8_17 = e0) & (all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 |
% 68.83/9.91  |            all_8_14 = e4 | all_8_22 = e4) & (all_8_4 = e3 | all_8_5 = e3 |
% 68.83/9.91  |            all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3) & (all_8_4 = e2 |
% 68.83/9.91  |            all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2) &
% 68.83/9.91  |          (all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 68.83/9.91  |            all_8_22 = e1) & (all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 |
% 68.83/9.91  |            all_8_14 = e0 | all_8_22 = e0) & (all_8_6 = e4 | all_8_7 = e4 |
% 68.83/9.91  |            all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4) & (all_8_6 = e3 |
% 68.83/9.91  |            all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3) &
% 68.83/9.91  |          (all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 68.83/9.91  |            all_8_18 = e2) & (all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 |
% 68.83/9.91  |            all_8_11 = e1 | all_8_18 = e1) & (all_8_6 = e0 | all_8_7 = e0 |
% 68.83/9.91  |            all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0) & (all_8_9 = e4 |
% 68.83/9.91  |            all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4) &
% 68.83/9.91  |          (all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 68.83/9.91  |            all_8_23 = e3) & (all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 |
% 68.83/9.91  |            all_8_15 = e2 | all_8_23 = e2) & (all_8_9 = e1 | all_8_10 = e1 |
% 68.83/9.91  |            all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1) & (all_8_9 = e0 |
% 68.83/9.91  |            all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0) &
% 68.83/9.91  |          (all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 68.83/9.91  |            all_8_19 = e4) & (all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 |
% 68.83/9.91  |            all_8_15 = e3 | all_8_19 = e3) & (all_8_12 = e2 | all_8_13 = e2 |
% 68.83/9.91  |            all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2) & (all_8_12 = e1 |
% 68.83/9.91  |            all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1) &
% 68.83/9.91  |          (all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 68.83/9.91  |            all_8_19 = e0) & (all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 |
% 68.83/9.91  |            all_8_19 = e4 | all_8_24 = e4) & (all_8_16 = e3 | all_8_17 = e3 |
% 68.83/9.91  |            all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3) & (all_8_16 = e2 |
% 68.83/9.91  |            all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2) &
% 68.83/9.91  |          (all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 68.83/9.91  |            all_8_24 = e1) & (all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 |
% 68.83/9.91  |            all_8_23 = e4 | all_8_24 = e4) & (all_8_20 = e3 | all_8_21 = e3 |
% 68.83/9.91  |            all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3) & (all_8_20 = e2 |
% 68.83/9.91  |            all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2) &
% 68.83/9.91  |          (all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 68.83/9.91  |            all_8_24 = e1) & (all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 |
% 68.83/9.91  |                all_8_18 = e0 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0
% 68.83/9.91  |                | all_8_22 = e0 | all_8_23 = e0)))
% 68.83/9.91  | 
% 68.83/9.91  | ALPHA: (199) implies:
% 68.83/9.91  |   (200)  op(e0, e0) = all_8_24
% 68.83/9.91  |   (201)  op(e0, e1) = all_8_23
% 68.83/9.91  |   (202)  op(e0, e2) = all_8_22
% 68.83/9.91  |   (203)  op(e0, e3) = all_8_21
% 68.83/9.91  |   (204)  op(e0, e4) = all_8_20
% 68.83/9.91  |   (205)  op(e1, e0) = all_8_19
% 68.83/9.91  |   (206)  op(e1, e1) = all_8_15
% 68.83/9.91  |   (207)  op(e1, e2) = all_8_14
% 68.83/9.91  |   (208)  op(e1, e3) = all_8_13
% 68.83/9.91  |   (209)  op(e1, e4) = all_8_12
% 68.83/9.91  |   (210)  op(e2, e0) = all_8_18
% 68.83/9.91  |   (211)  op(e2, e1) = all_8_11
% 68.83/9.91  |   (212)  op(e2, e2) = all_8_8
% 68.83/9.91  |   (213)  op(e2, e3) = all_8_7
% 68.83/9.91  |   (214)  op(e2, e4) = all_8_6
% 68.83/9.92  |   (215)  op(e3, e0) = all_8_17
% 68.83/9.92  |   (216)  op(e3, e1) = all_8_10
% 68.83/9.92  |   (217)  op(e3, e2) = all_8_5
% 68.83/9.92  |   (218)  op(e3, e3) = all_8_3
% 68.83/9.92  |   (219)  op(e3, e4) = all_8_2
% 68.83/9.92  |   (220)  op(e4, e0) = all_8_16
% 68.83/9.92  |   (221)  op(e4, e1) = all_8_9
% 68.83/9.92  |   (222)  op(e4, e2) = all_8_4
% 68.83/9.92  |   (223)  op(e4, e3) = all_8_1
% 68.83/9.92  |   (224)  op(e4, e4) = all_8_0
% 68.83/9.92  |   (225)  all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 |
% 68.83/9.92  |              all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 |
% 68.83/9.92  |              all_8_23 = e0))
% 68.83/9.92  |   (226)  all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 68.83/9.92  |          all_8_24 = e1
% 68.83/9.92  |   (227)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 |
% 68.83/9.92  |          all_8_24 = e2
% 68.83/9.92  |   (228)  all_8_20 = e3 | all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 68.83/9.92  |          all_8_24 = e3
% 68.83/9.92  |   (229)  all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 68.83/9.92  |          all_8_24 = e4
% 68.83/9.92  |   (230)  all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 68.83/9.92  |          all_8_24 = e1
% 68.83/9.92  |   (231)  all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 68.83/9.92  |          all_8_24 = e2
% 68.83/9.92  |   (232)  all_8_16 = e3 | all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 68.83/9.92  |          all_8_24 = e3
% 68.83/9.92  |   (233)  all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 68.83/9.92  |          all_8_24 = e4
% 68.83/9.92  |   (234)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 68.83/9.92  |          all_8_19 = e1
% 68.83/9.92  |   (235)  all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 68.83/9.92  |          all_8_19 = e2
% 68.83/9.92  |   (236)  all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 68.83/9.92  |          all_8_19 = e3
% 68.83/9.92  |   (237)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 68.83/9.92  |          all_8_19 = e4
% 68.83/9.92  |   (238)  all_8_9 = e1 | all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 68.83/9.92  |          all_8_23 = e1
% 68.83/9.92  |   (239)  all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 68.83/9.92  |          all_8_23 = e3
% 68.83/9.92  |   (240)  all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 68.83/9.92  |          all_8_23 = e4
% 68.83/9.92  |   (241)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18
% 68.83/9.92  |          = e0
% 68.83/9.92  |   (242)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 68.83/9.92  |          = e1
% 68.83/9.92  |   (243)  all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18
% 68.83/9.92  |          = e2
% 68.83/9.92  |   (244)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18
% 68.83/9.92  |          = e4
% 68.83/9.92  |   (245)  all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22
% 68.83/9.92  |          = e0
% 68.83/9.92  |   (246)  all_8_4 = e2 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22
% 68.83/9.92  |          = e2
% 68.83/9.92  |   (247)  all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22
% 68.83/9.92  |          = e4
% 68.83/9.92  |   (248)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17
% 68.83/9.92  |          = e0
% 68.83/9.92  |   (249)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17
% 68.83/9.92  |          = e2
% 68.83/9.92  |   (250)  all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17
% 68.83/9.92  |          = e3
% 68.83/9.92  |   (251)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21
% 68.83/9.92  |          = e0
% 68.83/9.92  |   (252)  all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21
% 68.83/9.92  |          = e1
% 68.83/9.92  |   (253)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21
% 68.83/9.92  |          = e2
% 68.83/9.92  |   (254)  all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | all_8_21
% 68.83/9.92  |          = e3
% 68.83/9.92  |   (255)  all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20
% 68.83/9.92  |          = e0
% 68.83/9.92  |   (256)  all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16
% 68.83/9.92  |          = e0
% 68.83/9.92  |   (257)  all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20
% 68.83/9.92  |          = e1
% 68.83/9.92  |   (258)  all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16
% 68.83/9.92  |          = e1
% 68.83/9.92  |   (259)  all_8_0 = e2 | all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 | all_8_20
% 68.83/9.92  |          = e2
% 68.83/9.92  |   (260)  all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16
% 68.83/9.92  |          = e2
% 68.83/9.92  |   (261)  all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 | all_8_20
% 68.83/9.92  |          = e3
% 68.83/9.92  |   (262)  all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16
% 68.83/9.92  |          = e3
% 68.83/9.92  |   (263)  all_8_0 = e4 | all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20
% 68.83/9.92  |          = e4
% 68.83/9.92  |   (264)  all_8_0 = e4 | all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 | all_8_16
% 68.83/9.92  |          = e4
% 68.83/9.92  | 
% 68.83/9.92  | DELTA: instantiating (27) with fresh symbols all_10_0, all_10_1, all_10_2,
% 68.83/9.92  |        all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 68.83/9.92  |        all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 68.83/9.92  |        all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 68.83/9.92  |        all_10_22, all_10_23, all_10_24 gives:
% 68.94/9.93  |   (265)  op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_2
% 68.94/9.93  |          & op(e4, e1) = all_10_3 & op(e4, e0) = all_10_4 & op(e3, e4) =
% 68.94/9.93  |          all_10_5 & op(e3, e3) = all_10_6 & op(e3, e2) = all_10_7 & op(e3, e1)
% 68.94/9.93  |          = all_10_8 & op(e3, e0) = all_10_9 & op(e2, e4) = all_10_10 & op(e2,
% 68.94/9.93  |            e3) = all_10_11 & op(e2, e2) = all_10_12 & op(e2, e1) = all_10_13 &
% 68.94/9.93  |          op(e2, e0) = all_10_14 & op(e1, e4) = all_10_15 & op(e1, e3) =
% 68.94/9.93  |          all_10_16 & op(e1, e2) = all_10_17 & op(e1, e1) = all_10_18 & op(e1,
% 68.94/9.93  |            e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 &
% 68.94/9.93  |          op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) =
% 68.94/9.93  |          all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3)
% 68.94/9.93  |          & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) &
% 68.94/9.93  |          $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) &
% 68.94/9.93  |          $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) &
% 68.94/9.93  |          $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) &
% 68.94/9.93  |          $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) &
% 68.94/9.93  |          $i(all_10_24) & ((all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4))
% 68.94/9.93  |            | (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0
% 68.94/9.93  |              = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 68.94/9.93  |              all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 &
% 68.94/9.93  |              all_10_18 = e4 &  ~ (all_10_3 = e4)) | (all_10_0 = e1 & all_10_18
% 68.94/9.93  |              = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 = e4 & 
% 68.94/9.93  |              ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 68.94/9.93  |              (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 68.94/9.93  |              (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 68.94/9.93  |              (all_10_11 = e2)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 68.94/9.93  |              (all_10_8 = e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 68.94/9.93  |              (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 68.94/9.93  |              (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 68.94/9.93  |              (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 68.94/9.93  |              (all_10_13 = e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 68.94/9.93  |              (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 68.94/9.93  |              (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 68.94/9.93  |              (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 68.94/9.93  |              (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 68.94/9.94  |              (all_10_23 = e0))) & ((( ~ (all_10_0 = e4) |  ~ (unit = e4)) & (
% 68.94/9.94  |                ~ (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) |
% 68.94/9.94  |                (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 68.94/9.94  |                (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 68.94/9.94  |                (all_10_5 = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) |
% 68.94/9.94  |                (all_10_5 = e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 68.94/9.94  |                (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~
% 68.94/9.94  |                  (unit = e4))) & ( ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~
% 68.94/9.94  |                  (unit = e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~
% 68.94/9.94  |                  (unit = e4))) & ( ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~
% 68.94/9.94  |                  (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~
% 68.94/9.94  |                (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 68.94/9.94  |                (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 68.94/9.94  |                (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 68.94/9.94  |                (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 68.94/9.94  |                (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 68.94/9.94  |                (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 68.94/9.94  |                (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~
% 68.94/9.94  |                (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit
% 68.94/9.94  |                    = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit =
% 68.94/9.94  |                    e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 68.94/9.94  |                    e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 68.94/9.94  |                    e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~
% 68.94/9.94  |                (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 68.94/9.94  |                (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/9.94  |                (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 68.94/9.94  |                (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 68.94/9.94  |                (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 68.94/9.94  |                (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 68.94/9.94  |                (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 68.94/9.94  |                (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 68.94/9.94  |                (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |  ~
% 68.94/9.94  |                (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &  ~
% 68.94/9.94  |                  (unit = e3))) & ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~
% 68.94/9.94  |                  (unit = e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~
% 68.94/9.94  |                  (unit = e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~
% 68.94/9.94  |                  (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 68.94/9.94  |                (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3))) & ( ~
% 68.94/9.94  |                (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/9.94  |                (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 68.94/9.94  |                (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 68.94/9.94  |                (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/9.94  |                (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 68.94/9.94  |                (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 68.94/9.94  |                (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 68.94/9.94  |                (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 68.94/9.94  |                (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 68.94/9.94  |                (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit
% 68.94/9.94  |                    = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 68.94/9.94  |                    e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 68.94/9.94  |                    e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 68.94/9.94  |                    e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 68.94/9.94  |                (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 68.94/9.94  |                (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 68.94/9.94  |                (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 68.94/9.94  |                (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/9.94  |                (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 68.94/9.94  |                (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 68.94/9.94  |                (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 68.94/9.94  |                (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 68.94/9.94  |                (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 68.94/9.94  |                (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~
% 68.94/9.94  |                  (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~
% 68.94/9.94  |                  (unit = e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/9.94  |                (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) |
% 68.94/9.94  |                (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 68.94/9.94  |                (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 68.94/9.94  |                (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 68.94/9.94  |                (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~
% 68.94/9.94  |                (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~
% 68.94/9.94  |                  (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/9.94  |                (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/9.94  |                (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 68.94/9.94  |                (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 68.94/9.94  |                (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 68.94/9.94  |                (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 68.94/9.94  |                (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 68.94/9.94  |                (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~
% 68.94/9.94  |                (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit
% 68.94/9.94  |                    = e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit =
% 68.94/9.94  |                    e0))) & ( ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 68.94/9.94  |                    e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 68.94/9.94  |                    e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 68.94/9.94  |                (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 68.94/9.94  |                (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 68.94/9.94  |                (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 68.94/9.94  |                (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 68.94/9.94  |                (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 68.94/9.94  |                (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 68.94/9.94  |                (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 68.94/9.94  |                (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 68.94/9.94  |                (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~
% 68.94/9.94  |                (unit = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~
% 68.94/9.94  |                  (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~
% 68.94/9.94  |                  (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~
% 68.94/9.94  |                  (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~
% 68.94/9.94  |                  (unit = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0))))
% 68.94/9.94  | 
% 68.94/9.94  | ALPHA: (265) implies:
% 68.94/9.94  |   (266)  op(e0, e0) = all_10_24
% 68.94/9.94  |   (267)  op(e0, e1) = all_10_23
% 68.94/9.94  |   (268)  op(e0, e2) = all_10_22
% 68.94/9.94  |   (269)  op(e0, e3) = all_10_21
% 68.94/9.94  |   (270)  op(e0, e4) = all_10_20
% 68.94/9.94  |   (271)  op(e1, e0) = all_10_19
% 68.94/9.94  |   (272)  op(e1, e1) = all_10_18
% 68.94/9.94  |   (273)  op(e1, e2) = all_10_17
% 68.94/9.94  |   (274)  op(e1, e3) = all_10_16
% 68.94/9.94  |   (275)  op(e1, e4) = all_10_15
% 68.94/9.94  |   (276)  op(e2, e0) = all_10_14
% 68.94/9.94  |   (277)  op(e2, e1) = all_10_13
% 68.94/9.94  |   (278)  op(e2, e2) = all_10_12
% 68.94/9.94  |   (279)  op(e2, e3) = all_10_11
% 68.94/9.94  |   (280)  op(e2, e4) = all_10_10
% 68.94/9.94  |   (281)  op(e3, e0) = all_10_9
% 68.94/9.94  |   (282)  op(e3, e1) = all_10_8
% 68.94/9.94  |   (283)  op(e3, e2) = all_10_7
% 68.94/9.94  |   (284)  op(e3, e3) = all_10_6
% 68.94/9.94  |   (285)  op(e3, e4) = all_10_5
% 68.94/9.94  |   (286)  op(e4, e0) = all_10_4
% 68.94/9.94  |   (287)  op(e4, e1) = all_10_3
% 68.94/9.94  |   (288)  op(e4, e2) = all_10_2
% 68.94/9.94  |   (289)  op(e4, e3) = all_10_1
% 68.94/9.94  |   (290)  op(e4, e4) = all_10_0
% 68.94/9.95  |   (291)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 68.94/9.95  |              (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 68.94/9.95  |              (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 68.94/9.95  |              (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 68.94/9.95  |              (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~
% 68.94/9.95  |              (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 68.94/9.95  |                  e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 68.94/9.95  |                  e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 68.94/9.95  |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit =
% 68.94/9.95  |                  e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 68.94/9.95  |              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 68.94/9.95  |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 68.94/9.95  |              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 68.94/9.95  |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 68.94/9.95  |              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 68.94/9.95  |              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 68.94/9.95  |              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 68.94/9.95  |              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 68.94/9.95  |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 68.94/9.95  |              (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 68.94/9.95  |                  = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 68.94/9.95  |                  e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 68.94/9.95  |                  e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 68.94/9.95  |                  e4)))) | (( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 68.94/9.95  |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2
% 68.94/9.95  |                = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 68.94/9.95  |              | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 68.94/9.95  |              (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 68.94/9.95  |              (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 68.94/9.95  |              (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit =
% 68.94/9.95  |                  e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 68.94/9.95  |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 68.94/9.95  |                  e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 68.94/9.95  |                  e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 68.94/9.95  |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 68.94/9.95  |              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/9.95  |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 68.94/9.95  |              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 68.94/9.95  |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 68.94/9.95  |              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 68.94/9.95  |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 68.94/9.95  |              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 68.94/9.95  |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 68.94/9.95  |              (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 68.94/9.95  |                  = e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 68.94/9.95  |                  e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 68.94/9.95  |                  e3)))) | (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 68.94/9.95  |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit =
% 68.94/9.95  |                  e2))) & ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3
% 68.94/9.95  |                = e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2)
% 68.94/9.95  |              | (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 68.94/9.95  |              (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 68.94/9.95  |              (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 68.94/9.95  |              (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 68.94/9.95  |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 68.94/9.95  |                  e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 68.94/9.95  |                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 68.94/9.95  |                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 68.94/9.95  |              (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 68.94/9.95  |              (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 68.94/9.95  |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 68.94/9.95  |              (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/9.95  |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 68.94/9.95  |              (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 68.94/9.95  |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 68.94/9.95  |              (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 68.94/9.95  |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 68.94/9.95  |              (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 68.94/9.95  |                  = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 68.94/9.95  |                  e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4
% 68.94/9.95  |                = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1)
% 68.94/9.95  |              | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 68.94/9.95  |              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 68.94/9.95  |              (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 68.94/9.95  |              (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 68.94/9.95  |                  e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/9.95  |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 68.94/9.95  |              (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 68.94/9.95  |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 68.94/9.95  |              (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/9.95  |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 68.94/9.95  |              (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 68.94/9.95  |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 68.94/9.95  |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 68.94/9.95  |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 68.94/9.95  |              (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 68.94/9.95  |                  = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 68.94/9.95  |                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0)
% 68.94/9.95  |              | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 68.94/9.95  |              (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 68.94/9.95  |              (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 68.94/9.95  |              (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit
% 68.94/9.95  |                  = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 68.94/9.95  |                  e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 68.94/9.95  |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 68.94/9.95  |              (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 68.94/9.95  |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 68.94/9.95  |              (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 68.94/9.95  |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 68.94/9.95  |              (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 68.94/9.95  |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 68.94/9.95  |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 68.94/9.95  |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 68.94/9.95  |              (unit = e0)))
% 68.94/9.95  |   (292)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3
% 68.94/9.95  |            & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12
% 68.94/9.95  |            = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 68.94/9.95  |            (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3
% 68.94/9.95  |              = e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 68.94/9.95  |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 =
% 68.94/9.95  |            e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 68.94/9.95  |            all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 68.94/9.95  |            e3 &  ~ (all_10_11 = e2)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 68.94/9.95  |            (all_10_8 = e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16
% 68.94/9.95  |              = e1)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) |
% 68.94/9.95  |          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 =
% 68.94/9.95  |            e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) | (all_10_12 = e1 &
% 68.94/9.95  |            all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 68.94/9.95  |            = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 68.94/9.95  |            (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 68.94/9.95  |            (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 68.94/9.95  |            (all_10_23 = e0))
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_24, e0, e0,
% 68.94/9.95  |              simplifying with (200), (266) gives:
% 68.94/9.95  |   (293)  all_10_24 = all_8_24
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_24, e0, e0,
% 68.94/9.95  |              simplifying with (129), (266) gives:
% 68.94/9.95  |   (294)  all_10_24 = all_4_24
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_6_23, all_8_23, e1, e0,
% 68.94/9.95  |              simplifying with (155), (201) gives:
% 68.94/9.95  |   (295)  all_8_23 = all_6_23
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_23, e1, e0,
% 68.94/9.95  |              simplifying with (201), (267) gives:
% 68.94/9.95  |   (296)  all_10_23 = all_8_23
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_23, e1, e0,
% 68.94/9.95  |              simplifying with (130), (267) gives:
% 68.94/9.95  |   (297)  all_10_23 = all_4_19
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_22, e2, e0,
% 68.94/9.95  |              simplifying with (202), (268) gives:
% 68.94/9.95  |   (298)  all_10_22 = all_8_22
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_22, e2, e0,
% 68.94/9.95  |              simplifying with (156), (268) gives:
% 68.94/9.95  |   (299)  all_10_22 = all_6_22
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_22, e2, e0,
% 68.94/9.95  |              simplifying with (131), (268) gives:
% 68.94/9.95  |   (300)  all_10_22 = all_4_14
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_21, e3, e0,
% 68.94/9.95  |              simplifying with (157), (203) gives:
% 68.94/9.95  |   (301)  all_8_21 = all_6_21
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_21, e3, e0,
% 68.94/9.95  |              simplifying with (203), (269) gives:
% 68.94/9.95  |   (302)  all_10_21 = all_8_21
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_21, e3, e0,
% 68.94/9.95  |              simplifying with (132), (269) gives:
% 68.94/9.95  |   (303)  all_10_21 = all_4_9
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_20, e4, e0,
% 68.94/9.95  |              simplifying with (204), (270) gives:
% 68.94/9.95  |   (304)  all_10_20 = all_8_20
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_20, e4, e0,
% 68.94/9.95  |              simplifying with (158), (270) gives:
% 68.94/9.95  |   (305)  all_10_20 = all_6_20
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_20, e4, e0,
% 68.94/9.95  |              simplifying with (133), (270) gives:
% 68.94/9.95  |   (306)  all_10_20 = all_4_4
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_6_19, all_8_19, e0, e1,
% 68.94/9.95  |              simplifying with (159), (205) gives:
% 68.94/9.95  |   (307)  all_8_19 = all_6_19
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_19, e0, e1,
% 68.94/9.95  |              simplifying with (205), (271) gives:
% 68.94/9.95  |   (308)  all_10_19 = all_8_19
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_19, e0, e1,
% 68.94/9.95  |              simplifying with (134), (271) gives:
% 68.94/9.95  |   (309)  all_10_19 = all_4_23
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_4_18, all_8_15, e1, e1,
% 68.94/9.95  |              simplifying with (135), (206) gives:
% 68.94/9.95  |   (310)  all_8_15 = all_4_18
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with e0, all_8_15, e1, e1,
% 68.94/9.95  |              simplifying with (23), (206) gives:
% 68.94/9.95  |   (311)  all_8_15 = e0
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_18, e1, e1,
% 68.94/9.95  |              simplifying with (206), (272) gives:
% 68.94/9.95  |   (312)  all_10_18 = all_8_15
% 68.94/9.95  | 
% 68.94/9.95  | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_18, e1, e1,
% 68.94/9.95  |              simplifying with (160), (272) gives:
% 68.94/9.95  |   (313)  all_10_18 = all_6_18
% 68.94/9.95  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_14, e2, e1,
% 68.94/9.96  |              simplifying with (161), (207) gives:
% 68.94/9.96  |   (314)  all_8_14 = all_6_17
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_17, e2, e1,
% 68.94/9.96  |              simplifying with (207), (273) gives:
% 68.94/9.96  |   (315)  all_10_17 = all_8_14
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_17, e2, e1,
% 68.94/9.96  |              simplifying with (136), (273) gives:
% 68.94/9.96  |   (316)  all_10_17 = all_4_13
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_16, e3, e1,
% 68.94/9.96  |              simplifying with (208), (274) gives:
% 68.94/9.96  |   (317)  all_10_16 = all_8_13
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_16, all_10_16, e3, e1,
% 68.94/9.96  |              simplifying with (162), (274) gives:
% 68.94/9.96  |   (318)  all_10_16 = all_6_16
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_16, e3, e1,
% 68.94/9.96  |              simplifying with (137), (274) gives:
% 68.94/9.96  |   (319)  all_10_16 = all_4_8
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_12, e4, e1,
% 68.94/9.96  |              simplifying with (163), (209) gives:
% 68.94/9.96  |   (320)  all_8_12 = all_6_15
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_15, e4, e1,
% 68.94/9.96  |              simplifying with (209), (275) gives:
% 68.94/9.96  |   (321)  all_10_15 = all_8_12
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_15, e4, e1,
% 68.94/9.96  |              simplifying with (138), (275) gives:
% 68.94/9.96  |   (322)  all_10_15 = all_4_3
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_14, e0, e2,
% 68.94/9.96  |              simplifying with (210), (276) gives:
% 68.94/9.96  |   (323)  all_10_14 = all_8_18
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_14, e0, e2,
% 68.94/9.96  |              simplifying with (164), (276) gives:
% 68.94/9.96  |   (324)  all_10_14 = all_6_14
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_22, all_10_14, e0, e2,
% 68.94/9.96  |              simplifying with (139), (276) gives:
% 68.94/9.96  |   (325)  all_10_14 = all_4_22
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_11, e1, e2,
% 68.94/9.96  |              simplifying with (165), (211) gives:
% 68.94/9.96  |   (326)  all_8_11 = all_6_13
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_13, e1, e2,
% 68.94/9.96  |              simplifying with (211), (277) gives:
% 68.94/9.96  |   (327)  all_10_13 = all_8_11
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_13, e1, e2,
% 68.94/9.96  |              simplifying with (140), (277) gives:
% 68.94/9.96  |   (328)  all_10_13 = all_4_17
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_8, e2, e2,
% 68.94/9.96  |              simplifying with (166), (212) gives:
% 68.94/9.96  |   (329)  all_8_8 = all_6_12
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_12, all_8_8, e2, e2,
% 68.94/9.96  |              simplifying with (141), (212) gives:
% 68.94/9.96  |   (330)  all_8_8 = all_4_12
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_12, e2, e2,
% 68.94/9.96  |              simplifying with (212), (278) gives:
% 68.94/9.96  |   (331)  all_10_12 = all_8_8
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with e3, all_10_12, e2, e2,
% 68.94/9.96  |              simplifying with (24), (278) gives:
% 68.94/9.96  |   (332)  all_10_12 = e3
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_11, e3, e2,
% 68.94/9.96  |              simplifying with (213), (279) gives:
% 68.94/9.96  |   (333)  all_10_11 = all_8_7
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_11, e3, e2,
% 68.94/9.96  |              simplifying with (167), (279) gives:
% 68.94/9.96  |   (334)  all_10_11 = all_6_11
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_11, e3, e2,
% 68.94/9.96  |              simplifying with (142), (279) gives:
% 68.94/9.96  |   (335)  all_10_11 = all_4_7
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_10, e4, e2,
% 68.94/9.96  |              simplifying with (214), (280) gives:
% 68.94/9.96  |   (336)  all_10_10 = all_8_6
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_10, e4, e2,
% 68.94/9.96  |              simplifying with (168), (280) gives:
% 68.94/9.96  |   (337)  all_10_10 = all_6_10
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_10, e4, e2,
% 68.94/9.96  |              simplifying with (143), (280) gives:
% 68.94/9.96  |   (338)  all_10_10 = all_4_2
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_9, all_8_17, e0, e3,
% 68.94/9.96  |              simplifying with (169), (215) gives:
% 68.94/9.96  |   (339)  all_8_17 = all_6_9
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_17, all_10_9, e0, e3,
% 68.94/9.96  |              simplifying with (215), (281) gives:
% 68.94/9.96  |   (340)  all_10_9 = all_8_17
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_9, e0, e3,
% 68.94/9.96  |              simplifying with (144), (281) gives:
% 68.94/9.96  |   (341)  all_10_9 = all_4_21
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_8, all_8_10, e1, e3,
% 68.94/9.96  |              simplifying with (170), (216) gives:
% 68.94/9.96  |   (342)  all_8_10 = all_6_8
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_10, all_10_8, e1, e3,
% 68.94/9.96  |              simplifying with (216), (282) gives:
% 68.94/9.96  |   (343)  all_10_8 = all_8_10
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_8, e1, e3,
% 68.94/9.96  |              simplifying with (145), (282) gives:
% 68.94/9.96  |   (344)  all_10_8 = all_4_16
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with e1, all_6_7, e2, e3,
% 68.94/9.96  |              simplifying with (25), (171) gives:
% 68.94/9.96  |   (345)  all_6_7 = e1
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_7, all_8_5, e2, e3,
% 68.94/9.96  |              simplifying with (171), (217) gives:
% 68.94/9.96  |   (346)  all_8_5 = all_6_7
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_7, e2, e3,
% 68.94/9.96  |              simplifying with (217), (283) gives:
% 68.94/9.96  |   (347)  all_10_7 = all_8_5
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_7, e2, e3,
% 68.94/9.96  |              simplifying with (146), (283) gives:
% 68.94/9.96  |   (348)  all_10_7 = all_4_11
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_6, e3, e3,
% 68.94/9.96  |              simplifying with (218), (284) gives:
% 68.94/9.96  |   (349)  all_10_6 = all_8_3
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_6, e3, e3,
% 68.94/9.96  |              simplifying with (172), (284) gives:
% 68.94/9.96  |   (350)  all_10_6 = all_6_6
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_6, e3, e3,
% 68.94/9.96  |              simplifying with (147), (284) gives:
% 68.94/9.96  |   (351)  all_10_6 = all_4_6
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with e4, all_10_6, e3, e3,
% 68.94/9.96  |              simplifying with (26), (284) gives:
% 68.94/9.96  |   (352)  all_10_6 = e4
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_2, e4, e3,
% 68.94/9.96  |              simplifying with (173), (219) gives:
% 68.94/9.96  |   (353)  all_8_2 = all_6_5
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_5, e4, e3,
% 68.94/9.96  |              simplifying with (219), (285) gives:
% 68.94/9.96  |   (354)  all_10_5 = all_8_2
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_5, e4, e3,
% 68.94/9.96  |              simplifying with (148), (285) gives:
% 68.94/9.96  |   (355)  all_10_5 = all_4_1
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_4, e0, e4,
% 68.94/9.96  |              simplifying with (220), (286) gives:
% 68.94/9.96  |   (356)  all_10_4 = all_8_16
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_4, all_10_4, e0, e4,
% 68.94/9.96  |              simplifying with (174), (286) gives:
% 68.94/9.96  |   (357)  all_10_4 = all_6_4
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_4, e0, e4,
% 68.94/9.96  |              simplifying with (149), (286) gives:
% 68.94/9.96  |   (358)  all_10_4 = all_4_20
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_9, e1, e4,
% 68.94/9.96  |              simplifying with (175), (221) gives:
% 68.94/9.96  |   (359)  all_8_9 = all_6_3
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_3, e1, e4,
% 68.94/9.96  |              simplifying with (221), (287) gives:
% 68.94/9.96  |   (360)  all_10_3 = all_8_9
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_3, e1, e4,
% 68.94/9.96  |              simplifying with (150), (287) gives:
% 68.94/9.96  |   (361)  all_10_3 = all_4_15
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_8_4, all_10_2, e2, e4,
% 68.94/9.96  |              simplifying with (222), (288) gives:
% 68.94/9.96  |   (362)  all_10_2 = all_8_4
% 68.94/9.96  | 
% 68.94/9.96  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_2, e2, e4,
% 68.94/9.96  |              simplifying with (176), (288) gives:
% 68.94/9.96  |   (363)  all_10_2 = all_6_2
% 68.94/9.96  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_2, e2, e4,
% 68.94/9.97  |              simplifying with (151), (288) gives:
% 68.94/9.97  |   (364)  all_10_2 = all_4_10
% 68.94/9.97  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_1, e3, e4,
% 68.94/9.97  |              simplifying with (177), (223) gives:
% 68.94/9.97  |   (365)  all_8_1 = all_6_1
% 68.94/9.97  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_8_1, all_10_1, e3, e4,
% 68.94/9.97  |              simplifying with (223), (289) gives:
% 68.94/9.97  |   (366)  all_10_1 = all_8_1
% 68.94/9.97  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_1, e3, e4,
% 68.94/9.97  |              simplifying with (152), (289) gives:
% 68.94/9.97  |   (367)  all_10_1 = all_4_5
% 68.94/9.97  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_0, e4, e4,
% 68.94/9.97  |              simplifying with (178), (224) gives:
% 68.94/9.97  |   (368)  all_8_0 = all_6_0
% 68.94/9.97  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_0, e4, e4,
% 68.94/9.97  |              simplifying with (224), (290) gives:
% 68.94/9.97  |   (369)  all_10_0 = all_8_0
% 68.94/9.97  | 
% 68.94/9.97  | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_0, e4, e4,
% 68.94/9.97  |              simplifying with (153), (290) gives:
% 68.94/9.97  |   (370)  all_10_0 = all_4_0
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (369), (370) imply:
% 68.94/9.97  |   (371)  all_8_0 = all_4_0
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (371) implies:
% 68.94/9.97  |   (372)  all_8_0 = all_4_0
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (366), (367) imply:
% 68.94/9.97  |   (373)  all_8_1 = all_4_5
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (373) implies:
% 68.94/9.97  |   (374)  all_8_1 = all_4_5
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (362), (364) imply:
% 68.94/9.97  |   (375)  all_8_4 = all_4_10
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (362), (363) imply:
% 68.94/9.97  |   (376)  all_8_4 = all_6_2
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (360), (361) imply:
% 68.94/9.97  |   (377)  all_8_9 = all_4_15
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (377) implies:
% 68.94/9.97  |   (378)  all_8_9 = all_4_15
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (356), (358) imply:
% 68.94/9.97  |   (379)  all_8_16 = all_4_20
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (356), (357) imply:
% 68.94/9.97  |   (380)  all_8_16 = all_6_4
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (354), (355) imply:
% 68.94/9.97  |   (381)  all_8_2 = all_4_1
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (381) implies:
% 68.94/9.97  |   (382)  all_8_2 = all_4_1
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (349), (350) imply:
% 68.94/9.97  |   (383)  all_8_3 = all_6_6
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (349), (352) imply:
% 68.94/9.97  |   (384)  all_8_3 = e4
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (349), (351) imply:
% 68.94/9.97  |   (385)  all_8_3 = all_4_6
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (347), (348) imply:
% 68.94/9.97  |   (386)  all_8_5 = all_4_11
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (386) implies:
% 68.94/9.97  |   (387)  all_8_5 = all_4_11
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (343), (344) imply:
% 68.94/9.97  |   (388)  all_8_10 = all_4_16
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (388) implies:
% 68.94/9.97  |   (389)  all_8_10 = all_4_16
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (340), (341) imply:
% 68.94/9.97  |   (390)  all_8_17 = all_4_21
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (390) implies:
% 68.94/9.97  |   (391)  all_8_17 = all_4_21
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (336), (338) imply:
% 68.94/9.97  |   (392)  all_8_6 = all_4_2
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (336), (337) imply:
% 68.94/9.97  |   (393)  all_8_6 = all_6_10
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (333), (335) imply:
% 68.94/9.97  |   (394)  all_8_7 = all_4_7
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (333), (334) imply:
% 68.94/9.97  |   (395)  all_8_7 = all_6_11
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (331), (332) imply:
% 68.94/9.97  |   (396)  all_8_8 = e3
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (396) implies:
% 68.94/9.97  |   (397)  all_8_8 = e3
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (327), (328) imply:
% 68.94/9.97  |   (398)  all_8_11 = all_4_17
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (398) implies:
% 68.94/9.97  |   (399)  all_8_11 = all_4_17
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (323), (325) imply:
% 68.94/9.97  |   (400)  all_8_18 = all_4_22
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (323), (324) imply:
% 68.94/9.97  |   (401)  all_8_18 = all_6_14
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (321), (322) imply:
% 68.94/9.97  |   (402)  all_8_12 = all_4_3
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (402) implies:
% 68.94/9.97  |   (403)  all_8_12 = all_4_3
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (317), (319) imply:
% 68.94/9.97  |   (404)  all_8_13 = all_4_8
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (317), (318) imply:
% 68.94/9.97  |   (405)  all_8_13 = all_6_16
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (315), (316) imply:
% 68.94/9.97  |   (406)  all_8_14 = all_4_13
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (406) implies:
% 68.94/9.97  |   (407)  all_8_14 = all_4_13
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (312), (313) imply:
% 68.94/9.97  |   (408)  all_8_15 = all_6_18
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (408) implies:
% 68.94/9.97  |   (409)  all_8_15 = all_6_18
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (308), (309) imply:
% 68.94/9.97  |   (410)  all_8_19 = all_4_23
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (410) implies:
% 68.94/9.97  |   (411)  all_8_19 = all_4_23
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (304), (306) imply:
% 68.94/9.97  |   (412)  all_8_20 = all_4_4
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (304), (305) imply:
% 68.94/9.97  |   (413)  all_8_20 = all_6_20
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (302), (303) imply:
% 68.94/9.97  |   (414)  all_8_21 = all_4_9
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (414) implies:
% 68.94/9.97  |   (415)  all_8_21 = all_4_9
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (298), (300) imply:
% 68.94/9.97  |   (416)  all_8_22 = all_4_14
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (298), (299) imply:
% 68.94/9.97  |   (417)  all_8_22 = all_6_22
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (296), (297) imply:
% 68.94/9.97  |   (418)  all_8_23 = all_4_19
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (418) implies:
% 68.94/9.97  |   (419)  all_8_23 = all_4_19
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (293), (294) imply:
% 68.94/9.97  |   (420)  all_8_24 = all_4_24
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (420) implies:
% 68.94/9.97  |   (421)  all_8_24 = all_4_24
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (368), (372) imply:
% 68.94/9.97  |   (422)  all_6_0 = all_4_0
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (422) implies:
% 68.94/9.97  |   (423)  all_6_0 = all_4_0
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (365), (374) imply:
% 68.94/9.97  |   (424)  all_6_1 = all_4_5
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (424) implies:
% 68.94/9.97  |   (425)  all_6_1 = all_4_5
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (353), (382) imply:
% 68.94/9.97  |   (426)  all_6_5 = all_4_1
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (426) implies:
% 68.94/9.97  |   (427)  all_6_5 = all_4_1
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (383), (384) imply:
% 68.94/9.97  |   (428)  all_6_6 = e4
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (383), (385) imply:
% 68.94/9.97  |   (429)  all_6_6 = all_4_6
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (375), (376) imply:
% 68.94/9.97  |   (430)  all_6_2 = all_4_10
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (430) implies:
% 68.94/9.97  |   (431)  all_6_2 = all_4_10
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (346), (387) imply:
% 68.94/9.97  |   (432)  all_6_7 = all_4_11
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (432) implies:
% 68.94/9.97  |   (433)  all_6_7 = all_4_11
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (392), (393) imply:
% 68.94/9.97  |   (434)  all_6_10 = all_4_2
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (434) implies:
% 68.94/9.97  |   (435)  all_6_10 = all_4_2
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (394), (395) imply:
% 68.94/9.97  |   (436)  all_6_11 = all_4_7
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (436) implies:
% 68.94/9.97  |   (437)  all_6_11 = all_4_7
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (329), (397) imply:
% 68.94/9.97  |   (438)  all_6_12 = e3
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (329), (330) imply:
% 68.94/9.97  |   (439)  all_6_12 = all_4_12
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (359), (378) imply:
% 68.94/9.97  |   (440)  all_6_3 = all_4_15
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (440) implies:
% 68.94/9.97  |   (441)  all_6_3 = all_4_15
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (342), (389) imply:
% 68.94/9.97  |   (442)  all_6_8 = all_4_16
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (442) implies:
% 68.94/9.97  |   (443)  all_6_8 = all_4_16
% 68.94/9.97  | 
% 68.94/9.97  | COMBINE_EQS: (326), (399) imply:
% 68.94/9.97  |   (444)  all_6_13 = all_4_17
% 68.94/9.97  | 
% 68.94/9.97  | SIMP: (444) implies:
% 68.94/9.97  |   (445)  all_6_13 = all_4_17
% 68.94/9.97  | 
% 68.94/9.98  | COMBINE_EQS: (320), (403) imply:
% 68.94/9.98  |   (446)  all_6_15 = all_4_3
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (446) implies:
% 68.94/9.98  |   (447)  all_6_15 = all_4_3
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (404), (405) imply:
% 68.94/9.98  |   (448)  all_6_16 = all_4_8
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (448) implies:
% 68.94/9.98  |   (449)  all_6_16 = all_4_8
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (314), (407) imply:
% 68.94/9.98  |   (450)  all_6_17 = all_4_13
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (311), (409) imply:
% 68.94/9.98  |   (451)  all_6_18 = e0
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (310), (409) imply:
% 68.94/9.98  |   (452)  all_6_18 = all_4_18
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (379), (380) imply:
% 68.94/9.98  |   (453)  all_6_4 = all_4_20
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (453) implies:
% 68.94/9.98  |   (454)  all_6_4 = all_4_20
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (339), (391) imply:
% 68.94/9.98  |   (455)  all_6_9 = all_4_21
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (400), (401) imply:
% 68.94/9.98  |   (456)  all_6_14 = all_4_22
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (307), (411) imply:
% 68.94/9.98  |   (457)  all_6_19 = all_4_23
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (412), (413) imply:
% 68.94/9.98  |   (458)  all_6_20 = all_4_4
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (301), (415) imply:
% 68.94/9.98  |   (459)  all_6_21 = all_4_9
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (459) implies:
% 68.94/9.98  |   (460)  all_6_21 = all_4_9
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (416), (417) imply:
% 68.94/9.98  |   (461)  all_6_22 = all_4_14
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (295), (419) imply:
% 68.94/9.98  |   (462)  all_6_23 = all_4_19
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (462) implies:
% 68.94/9.98  |   (463)  all_6_23 = all_4_19
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (428), (429) imply:
% 68.94/9.98  |   (464)  all_4_6 = e4
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (345), (433) imply:
% 68.94/9.98  |   (465)  all_4_11 = e1
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (438), (439) imply:
% 68.94/9.98  |   (466)  all_4_12 = e3
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (451), (452) imply:
% 68.94/9.98  |   (467)  all_4_18 = e0
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (467) implies:
% 68.94/9.98  |   (468)  all_4_18 = e0
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (387), (465) imply:
% 68.94/9.98  |   (469)  all_8_5 = e1
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (313), (451) imply:
% 68.94/9.98  |   (470)  all_10_18 = e0
% 68.94/9.98  | 
% 68.94/9.98  | COMBINE_EQS: (348), (465) imply:
% 68.94/9.98  |   (471)  all_10_7 = e1
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (117), (464) imply:
% 68.94/9.98  |   (472)   ~ (all_4_1 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (116), (465) imply:
% 68.94/9.98  |   (473)   ~ (all_4_1 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (110), (466) imply:
% 68.94/9.98  |   (474)   ~ (all_4_2 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (104), (468) imply:
% 68.94/9.98  |   (475)   ~ (all_4_3 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (98), (464) imply:
% 68.94/9.98  |   (476)   ~ (all_4_5 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (91), (464) imply:
% 68.94/9.98  |   (477)   ~ (all_4_7 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (477) implies:
% 68.94/9.98  |   (478)   ~ (all_4_7 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (90), (464) imply:
% 68.94/9.98  |   (479)   ~ (all_4_8 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (479) implies:
% 68.94/9.98  |   (480)   ~ (all_4_8 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (89), (464) imply:
% 68.94/9.98  |   (481)   ~ (all_4_9 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (481) implies:
% 68.94/9.98  |   (482)   ~ (all_4_9 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (88), (464), (465) imply:
% 68.94/9.98  |   (483)   ~ (e4 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (87), (464) imply:
% 68.94/9.98  |   (484)   ~ (all_4_16 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (484) implies:
% 68.94/9.98  |   (485)   ~ (all_4_16 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (86), (464) imply:
% 68.94/9.98  |   (486)   ~ (all_4_21 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (486) implies:
% 68.94/9.98  |   (487)   ~ (all_4_21 = e4)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (83), (466) imply:
% 68.94/9.98  |   (488)   ~ (all_4_7 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (78), (468) imply:
% 68.94/9.98  |   (489)   ~ (all_4_8 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (73), (465) imply:
% 68.94/9.98  |   (490)   ~ (all_4_10 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (72), (466) imply:
% 68.94/9.98  |   (491)   ~ (all_4_10 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (67), (465), (466) imply:
% 68.94/9.98  |   (492)   ~ (e3 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (492) implies:
% 68.94/9.98  |   (493)   ~ (e3 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (66), (465) imply:
% 68.94/9.98  |   (494)   ~ (all_4_13 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (494) implies:
% 68.94/9.98  |   (495)   ~ (all_4_13 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (65), (465) imply:
% 68.94/9.98  |   (496)   ~ (all_4_14 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (496) implies:
% 68.94/9.98  |   (497)   ~ (all_4_14 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (64), (465) imply:
% 68.94/9.98  |   (498)   ~ (all_4_16 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (498) implies:
% 68.94/9.98  |   (499)   ~ (all_4_16 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (63), (465) imply:
% 68.94/9.98  |   (500)   ~ (all_4_21 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (500) implies:
% 68.94/9.98  |   (501)   ~ (all_4_21 = e1)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (62), (466) imply:
% 68.94/9.98  |   (502)   ~ (all_4_13 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (502) implies:
% 68.94/9.98  |   (503)   ~ (all_4_13 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (61), (466) imply:
% 68.94/9.98  |   (504)   ~ (all_4_14 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (504) implies:
% 68.94/9.98  |   (505)   ~ (all_4_14 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (60), (466) imply:
% 68.94/9.98  |   (506)   ~ (all_4_17 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (506) implies:
% 68.94/9.98  |   (507)   ~ (all_4_17 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (59), (466) imply:
% 68.94/9.98  |   (508)   ~ (all_4_22 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (508) implies:
% 68.94/9.98  |   (509)   ~ (all_4_22 = e3)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (57), (468) imply:
% 68.94/9.98  |   (510)   ~ (all_4_13 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (51), (468) imply:
% 68.94/9.98  |   (511)   ~ (all_4_15 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (47), (468) imply:
% 68.94/9.98  |   (512)   ~ (all_4_16 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (44), (468) imply:
% 68.94/9.98  |   (513)   ~ (all_4_17 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (41), (468) imply:
% 68.94/9.98  |   (514)   ~ (all_4_19 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (514) implies:
% 68.94/9.98  |   (515)   ~ (all_4_19 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | REDUCE: (40), (468) imply:
% 68.94/9.98  |   (516)   ~ (all_4_23 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | SIMP: (516) implies:
% 68.94/9.98  |   (517)   ~ (all_4_23 = e0)
% 68.94/9.98  | 
% 68.94/9.98  | BETA: splitting (225) gives:
% 68.94/9.98  | 
% 68.94/9.98  | Case 1:
% 68.94/9.98  | | 
% 68.94/9.98  | |   (518)  all_8_24 = e0
% 68.94/9.98  | | 
% 68.94/9.98  | | COMBINE_EQS: (421), (518) imply:
% 68.94/9.98  | |   (519)  all_4_24 = e0
% 68.94/9.98  | | 
% 68.94/9.98  | | SIMP: (519) implies:
% 68.94/9.98  | |   (520)  all_4_24 = e0
% 68.94/9.98  | | 
% 68.94/9.98  | | COMBINE_EQS: (294), (520) imply:
% 68.94/9.98  | |   (521)  all_10_24 = e0
% 68.94/9.98  | | 
% 68.94/9.98  | | REDUCE: (74), (520) imply:
% 68.94/9.98  | |   (522)   ~ (all_4_9 = e0)
% 68.94/9.98  | | 
% 68.94/9.98  | | REDUCE: (35), (520) imply:
% 68.94/9.98  | |   (523)   ~ (all_4_20 = e0)
% 68.94/9.98  | | 
% 68.94/9.98  | | REDUCE: (32), (520) imply:
% 68.94/9.98  | |   (524)   ~ (all_4_21 = e0)
% 68.94/9.98  | | 
% 68.94/9.98  | | REDUCE: (30), (520) imply:
% 68.94/9.98  | |   (525)   ~ (all_4_22 = e0)
% 68.94/9.98  | | 
% 68.94/9.98  | | BETA: splitting (245) gives:
% 68.94/9.98  | | 
% 68.94/9.98  | | Case 1:
% 68.94/9.98  | | | 
% 68.94/9.98  | | |   (526)  all_8_4 = e0
% 68.94/9.98  | | | 
% 68.94/9.98  | | | COMBINE_EQS: (375), (526) imply:
% 68.94/9.98  | | |   (527)  all_4_10 = e0
% 68.94/9.98  | | | 
% 68.94/9.98  | | | SIMP: (527) implies:
% 68.94/9.98  | | |   (528)  all_4_10 = e0
% 68.94/9.98  | | | 
% 68.94/9.98  | | | COMBINE_EQS: (364), (528) imply:
% 68.94/9.98  | | |   (529)  all_10_2 = e0
% 68.94/9.98  | | | 
% 68.94/9.99  | | | REDUCE: (94), (528) imply:
% 68.94/9.99  | | |   (530)   ~ (all_4_5 = e0)
% 68.94/9.99  | | | 
% 68.94/9.99  | | | REDUCE: (69), (528) imply:
% 68.94/9.99  | | |   (531)   ~ (all_4_15 = e0)
% 68.94/9.99  | | | 
% 68.94/9.99  | | | REDUCE: (68), (528) imply:
% 68.94/9.99  | | |   (532)   ~ (all_4_20 = e0)
% 68.94/9.99  | | | 
% 68.94/9.99  | | | REDUCE: (491), (528) imply:
% 68.94/9.99  | | |   (533)   ~ (e3 = e0)
% 68.94/9.99  | | | 
% 68.94/9.99  | | | REDUCE: (490), (528) imply:
% 68.94/9.99  | | |   (534)   ~ (e1 = e0)
% 68.94/9.99  | | | 
% 68.94/9.99  | | | BETA: splitting (292) gives:
% 68.94/9.99  | | | 
% 68.94/9.99  | | | Case 1:
% 68.94/9.99  | | | | 
% 68.94/9.99  | | | |   (535)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) |
% 68.94/9.99  | | | |          (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) |
% 68.94/9.99  | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 68.94/9.99  | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 68.94/9.99  | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 68.94/9.99  | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 68.94/9.99  | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 68.94/9.99  | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 68.94/9.99  | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 68.94/9.99  | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 68.94/9.99  | | | | 
% 68.94/9.99  | | | | BETA: splitting (535) gives:
% 68.94/9.99  | | | | 
% 68.94/9.99  | | | | Case 1:
% 68.94/9.99  | | | | | 
% 68.94/9.99  | | | | |   (536)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) |
% 68.94/9.99  | | | | |          (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) |
% 68.94/9.99  | | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 68.94/9.99  | | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 68.94/9.99  | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 68.94/9.99  | | | | | 
% 68.94/9.99  | | | | | BETA: splitting (536) gives:
% 68.94/9.99  | | | | | 
% 68.94/9.99  | | | | | Case 1:
% 68.94/9.99  | | | | | | 
% 68.94/9.99  | | | | | |   (537)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) |
% 68.94/9.99  | | | | | |          (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3))
% 68.94/9.99  | | | | | | 
% 68.94/9.99  | | | | | | BETA: splitting (537) gives:
% 68.94/9.99  | | | | | | 
% 68.94/9.99  | | | | | | Case 1:
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | |   (538)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | ALPHA: (538) implies:
% 68.94/9.99  | | | | | | |   (539)  all_10_0 = e3
% 68.94/9.99  | | | | | | |   (540)   ~ (all_10_1 = e4)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | COMBINE_EQS: (370), (539) imply:
% 68.94/9.99  | | | | | | |   (541)  all_4_0 = e3
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | COMBINE_EQS: (372), (541) imply:
% 68.94/9.99  | | | | | | |   (542)  all_8_0 = e3
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | REDUCE: (128), (541) imply:
% 68.94/9.99  | | | | | | |   (543)   ~ (all_4_1 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | SIMP: (543) implies:
% 68.94/9.99  | | | | | | |   (544)   ~ (all_4_1 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | REDUCE: (127), (541) imply:
% 68.94/9.99  | | | | | | |   (545)   ~ (all_4_2 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | REDUCE: (126), (541) imply:
% 68.94/9.99  | | | | | | |   (546)   ~ (all_4_3 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | SIMP: (546) implies:
% 68.94/9.99  | | | | | | |   (547)   ~ (all_4_3 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | REDUCE: (122), (541) imply:
% 68.94/9.99  | | | | | | |   (548)   ~ (all_4_15 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | SIMP: (548) implies:
% 68.94/9.99  | | | | | | |   (549)   ~ (all_4_15 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | REF_CLOSE: (4), (7), (9), (10), (12), (15), (16), (17), (19),
% 68.94/9.99  | | | | | | |            (20), (21), (22), (25), (31), (33), (34), (38), (43),
% 68.94/9.99  | | | | | | |            (45), (46), (48), (49), (50), (55), (77), (80), (92),
% 68.94/9.99  | | | | | | |            (93), (95), (96), (100), (106), (107), (108), (109),
% 68.94/9.99  | | | | | | |            (112), (113), (114), (115), (118), (119), (120), (132),
% 68.94/9.99  | | | | | | |            (139), (143), (181), (182), (186), (187), (188), (190),
% 68.94/9.99  | | | | | | |            (191), (192), (193), (194), (197), (230), (231), (236),
% 68.94/9.99  | | | | | | |            (238), (239), (240), (242), (248), (249), (250), (251),
% 68.94/9.99  | | | | | | |            (252), (260), (264), (291), (297), (300), (303), (306),
% 68.94/9.99  | | | | | | |            (311), (322), (325), (332), (335), (341), (344), (352),
% 68.94/9.99  | | | | | | |            (355), (358), (361), (367), (374), (378), (379), (382),
% 68.94/9.99  | | | | | | |            (384), (389), (391), (392), (394), (399), (400), (403),
% 68.94/9.99  | | | | | | |            (404), (407), (411), (415), (419), (425), (427), (435),
% 68.94/9.99  | | | | | | |            (443), (445), (447), (454), (455), (456), (458), (460),
% 68.94/9.99  | | | | | | |            (469), (470), (471), (472), (473), (474), (476), (480),
% 68.94/9.99  | | | | | | |            (482), (483), (485), (487), (489), (493), (499), (501),
% 68.94/9.99  | | | | | | |            (503), (507), (511), (512), (513), (515), (518), (522),
% 68.94/9.99  | | | | | | |            (523), (524), (525), (526), (529), (530), (542), (544),
% 68.94/9.99  | | | | | | |            (547), (549), (function-axioms) are inconsistent by
% 68.94/9.99  | | | | | | |            sub-proof #204.
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | Case 2:
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | |   (550)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | ALPHA: (550) implies:
% 68.94/9.99  | | | | | | |   (551)  all_10_0 = e3
% 68.94/9.99  | | | | | | | 
% 68.94/9.99  | | | | | | | COMBINE_EQS: (370), (551) imply:
% 68.94/10.00  | | | | | | |   (552)  all_4_0 = e3
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | COMBINE_EQS: (372), (552) imply:
% 68.94/10.00  | | | | | | |   (553)  all_8_0 = e3
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REDUCE: (128), (552) imply:
% 68.94/10.00  | | | | | | |   (554)   ~ (all_4_1 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | SIMP: (554) implies:
% 68.94/10.00  | | | | | | |   (555)   ~ (all_4_1 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REDUCE: (127), (552) imply:
% 68.94/10.00  | | | | | | |   (556)   ~ (all_4_2 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REDUCE: (126), (552) imply:
% 68.94/10.00  | | | | | | |   (557)   ~ (all_4_3 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | SIMP: (557) implies:
% 68.94/10.00  | | | | | | |   (558)   ~ (all_4_3 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REDUCE: (122), (552) imply:
% 68.94/10.00  | | | | | | |   (559)   ~ (all_4_15 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | SIMP: (559) implies:
% 68.94/10.00  | | | | | | |   (560)   ~ (all_4_15 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REF_CLOSE: (4), (7), (9), (10), (12), (15), (16), (17), (19),
% 68.94/10.00  | | | | | | |            (20), (21), (22), (25), (31), (33), (34), (38), (43),
% 68.94/10.00  | | | | | | |            (45), (46), (48), (49), (50), (55), (77), (80), (92),
% 68.94/10.00  | | | | | | |            (93), (95), (96), (100), (106), (107), (108), (109),
% 68.94/10.00  | | | | | | |            (112), (113), (114), (115), (118), (119), (120), (132),
% 68.94/10.00  | | | | | | |            (139), (143), (181), (182), (186), (187), (188), (190),
% 68.94/10.00  | | | | | | |            (191), (192), (193), (194), (197), (230), (231), (236),
% 68.94/10.00  | | | | | | |            (238), (239), (240), (242), (248), (249), (250), (251),
% 68.94/10.00  | | | | | | |            (252), (260), (264), (291), (297), (300), (303), (306),
% 68.94/10.00  | | | | | | |            (311), (322), (325), (332), (335), (341), (344), (352),
% 68.94/10.00  | | | | | | |            (355), (358), (361), (367), (374), (378), (379), (382),
% 68.94/10.00  | | | | | | |            (384), (389), (391), (392), (394), (399), (400), (403),
% 68.94/10.00  | | | | | | |            (404), (407), (411), (415), (419), (425), (427), (435),
% 68.94/10.00  | | | | | | |            (443), (445), (447), (454), (455), (456), (458), (460),
% 68.94/10.00  | | | | | | |            (469), (470), (471), (472), (473), (474), (476), (480),
% 68.94/10.00  | | | | | | |            (482), (483), (485), (487), (489), (493), (499), (501),
% 68.94/10.00  | | | | | | |            (503), (507), (511), (512), (513), (515), (518), (522),
% 68.94/10.00  | | | | | | |            (523), (524), (525), (526), (529), (530), (553), (555),
% 68.94/10.00  | | | | | | |            (558), (560), (function-axioms) are inconsistent by
% 68.94/10.00  | | | | | | |            sub-proof #204.
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | End of split
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | Case 2:
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | |   (561)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 68.94/10.00  | | | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 68.94/10.00  | | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | | REF_CLOSE: (20), (22), (332), (470), (561) are inconsistent by
% 68.94/10.00  | | | | | |            sub-proof #200.
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | End of split
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | Case 2:
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | |   (562)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 68.94/10.00  | | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 68.94/10.00  | | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 68.94/10.00  | | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 68.94/10.00  | | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | | REF_CLOSE: (20), (21), (352), (470), (521), (562) are inconsistent by
% 68.94/10.00  | | | | |            sub-proof #196.
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | End of split
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | Case 2:
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | |   (563)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) |
% 68.94/10.00  | | | |          (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) |
% 68.94/10.00  | | | |          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) |
% 68.94/10.00  | | | |          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 68.94/10.00  | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 68.94/10.00  | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 68.94/10.00  | | | |          (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)) |
% 68.94/10.00  | | | |          (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 68.94/10.00  | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 68.94/10.00  | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | | REF_CLOSE: (15), (16), (18), (470), (521), (563) are inconsistent by
% 68.94/10.00  | | | |            sub-proof #192.
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | End of split
% 68.94/10.00  | | | 
% 68.94/10.00  | | Case 2:
% 68.94/10.00  | | | 
% 68.94/10.00  | | |   (564)   ~ (all_8_4 = e0)
% 68.94/10.00  | | | 
% 68.94/10.00  | | | REDUCE: (375), (564) imply:
% 68.94/10.00  | | |   (565)   ~ (all_4_10 = e0)
% 68.94/10.00  | | | 
% 68.94/10.00  | | | BETA: splitting (292) gives:
% 68.94/10.00  | | | 
% 68.94/10.00  | | | Case 1:
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | |   (566)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) |
% 68.94/10.00  | | | |          (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) |
% 68.94/10.00  | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 68.94/10.00  | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 68.94/10.00  | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 68.94/10.00  | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 68.94/10.00  | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 68.94/10.00  | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 68.94/10.00  | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 68.94/10.00  | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | | BETA: splitting (566) gives:
% 68.94/10.00  | | | | 
% 68.94/10.00  | | | | Case 1:
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | |   (567)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) |
% 68.94/10.00  | | | | |          (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) |
% 68.94/10.00  | | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 68.94/10.00  | | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 68.94/10.00  | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | | BETA: splitting (567) gives:
% 68.94/10.00  | | | | | 
% 68.94/10.00  | | | | | Case 1:
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | |   (568)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) |
% 68.94/10.00  | | | | | |          (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3))
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | | BETA: splitting (568) gives:
% 68.94/10.00  | | | | | | 
% 68.94/10.00  | | | | | | Case 1:
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | |   (569)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | ALPHA: (569) implies:
% 68.94/10.00  | | | | | | |   (570)  all_10_0 = e3
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | COMBINE_EQS: (370), (570) imply:
% 68.94/10.00  | | | | | | |   (571)  all_4_0 = e3
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | COMBINE_EQS: (372), (571) imply:
% 68.94/10.00  | | | | | | |   (572)  all_8_0 = e3
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REDUCE: (128), (571) imply:
% 68.94/10.00  | | | | | | |   (573)   ~ (all_4_1 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | SIMP: (573) implies:
% 68.94/10.00  | | | | | | |   (574)   ~ (all_4_1 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REDUCE: (121), (571) imply:
% 68.94/10.00  | | | | | | |   (575)   ~ (all_4_20 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | SIMP: (575) implies:
% 68.94/10.00  | | | | | | |   (576)   ~ (all_4_20 = e3)
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | | REF_CLOSE: (97), (115), (120), (192), (193), (241), (248), (256),
% 68.94/10.00  | | | | | | |            (291), (344), (352), (355), (358), (367), (374), (375),
% 68.94/10.00  | | | | | | |            (378), (379), (382), (392), (394), (397), (399), (400),
% 68.94/10.00  | | | | | | |            (427), (443), (471), (472), (473), (483), (485), (488),
% 68.94/10.00  | | | | | | |            (499), (511), (512), (513), (523), (525), (565), (572),
% 68.94/10.00  | | | | | | |            (574), (576) are inconsistent by sub-proof #186.
% 68.94/10.00  | | | | | | | 
% 68.94/10.00  | | | | | | Case 2:
% 68.94/10.00  | | | | | | | 
% 68.94/10.01  | | | | | | |   (577)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | ALPHA: (577) implies:
% 68.94/10.01  | | | | | | |   (578)  all_10_0 = e3
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | COMBINE_EQS: (370), (578) imply:
% 68.94/10.01  | | | | | | |   (579)  all_4_0 = e3
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | COMBINE_EQS: (372), (579) imply:
% 68.94/10.01  | | | | | | |   (580)  all_8_0 = e3
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | REDUCE: (128), (579) imply:
% 68.94/10.01  | | | | | | |   (581)   ~ (all_4_1 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | SIMP: (581) implies:
% 68.94/10.01  | | | | | | |   (582)   ~ (all_4_1 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | REDUCE: (121), (579) imply:
% 68.94/10.01  | | | | | | |   (583)   ~ (all_4_20 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | SIMP: (583) implies:
% 68.94/10.01  | | | | | | |   (584)   ~ (all_4_20 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | REF_CLOSE: (97), (115), (120), (192), (193), (241), (248), (256),
% 68.94/10.01  | | | | | | |            (291), (344), (352), (355), (358), (367), (374), (375),
% 68.94/10.01  | | | | | | |            (378), (379), (382), (392), (394), (397), (399), (400),
% 68.94/10.01  | | | | | | |            (427), (443), (471), (472), (473), (483), (485), (488),
% 68.94/10.01  | | | | | | |            (499), (511), (512), (513), (523), (525), (565), (580),
% 68.94/10.01  | | | | | | |            (582), (584) are inconsistent by sub-proof #186.
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | End of split
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | Case 2:
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | |   (585)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 68.94/10.01  | | | | | |          (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 68.94/10.01  | | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | | REF_CLOSE: (20), (22), (332), (470), (585) are inconsistent by
% 68.94/10.01  | | | | | |            sub-proof #200.
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | End of split
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | Case 2:
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | |   (586)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 68.94/10.01  | | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 68.94/10.01  | | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 68.94/10.01  | | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 68.94/10.01  | | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | | REF_CLOSE: (20), (21), (352), (470), (521), (586) are inconsistent by
% 68.94/10.01  | | | | |            sub-proof #196.
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | End of split
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | Case 2:
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | |   (587)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) |
% 68.94/10.01  | | | |          (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) |
% 68.94/10.01  | | | |          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) |
% 68.94/10.01  | | | |          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 68.94/10.01  | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 68.94/10.01  | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 68.94/10.01  | | | |          (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)) |
% 68.94/10.01  | | | |          (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 68.94/10.01  | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 68.94/10.01  | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | REF_CLOSE: (15), (16), (18), (470), (521), (587) are inconsistent by
% 68.94/10.01  | | | |            sub-proof #192.
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | End of split
% 68.94/10.01  | | | 
% 68.94/10.01  | | End of split
% 68.94/10.01  | | 
% 68.94/10.01  | Case 2:
% 68.94/10.01  | | 
% 68.94/10.01  | |   (588)   ~ (all_8_24 = e0)
% 68.94/10.01  | |   (589)  (all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0) &
% 68.94/10.01  | |          (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0)
% 68.94/10.01  | | 
% 68.94/10.01  | | ALPHA: (589) implies:
% 68.94/10.01  | |   (590)  all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 68.94/10.01  | |   (591)  all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 68.94/10.01  | | 
% 68.94/10.01  | | REDUCE: (421), (588) imply:
% 68.94/10.01  | |   (592)   ~ (all_4_24 = e0)
% 68.94/10.01  | | 
% 68.94/10.01  | | BETA: splitting (184) gives:
% 68.94/10.01  | | 
% 68.94/10.01  | | Case 1:
% 68.94/10.01  | | | 
% 68.94/10.01  | | |   (593)  all_6_17 = e3
% 68.94/10.01  | | | 
% 68.94/10.01  | | | COMBINE_EQS: (450), (593) imply:
% 68.94/10.01  | | |   (594)  all_4_13 = e3
% 68.94/10.01  | | | 
% 68.94/10.01  | | | REDUCE: (503), (594) imply:
% 68.94/10.01  | | |   (595)  $false
% 68.94/10.01  | | | 
% 68.94/10.01  | | | CLOSE: (595) is inconsistent.
% 68.94/10.01  | | | 
% 68.94/10.01  | | Case 2:
% 68.94/10.01  | | | 
% 68.94/10.01  | | |   (596)   ~ (all_6_17 = e3)
% 68.94/10.01  | | |   (597)  all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0
% 68.94/10.01  | | | 
% 68.94/10.01  | | | BETA: splitting (192) gives:
% 68.94/10.01  | | | 
% 68.94/10.01  | | | Case 1:
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | |   (598)  all_6_8 = e3
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | COMBINE_EQS: (443), (598) imply:
% 68.94/10.01  | | | |   (599)  all_4_16 = e3
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | SIMP: (599) implies:
% 68.94/10.01  | | | |   (600)  all_4_16 = e3
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | COMBINE_EQS: (389), (600) imply:
% 68.94/10.01  | | | |   (601)  all_8_10 = e3
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | COMBINE_EQS: (344), (600) imply:
% 68.94/10.01  | | | |   (602)  all_10_8 = e3
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | REDUCE: (115), (600) imply:
% 68.94/10.01  | | | |   (603)   ~ (all_4_1 = e3)
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | REDUCE: (53), (600) imply:
% 68.94/10.01  | | | |   (604)   ~ (all_4_15 = e3)
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | REDUCE: (46), (600) imply:
% 68.94/10.01  | | | |   (605)   ~ (all_4_19 = e3)
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | SIMP: (605) implies:
% 68.94/10.01  | | | |   (606)   ~ (all_4_19 = e3)
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | REDUCE: (485), (600) imply:
% 68.94/10.01  | | | |   (607)   ~ (e4 = e3)
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | BETA: splitting (193) gives:
% 68.94/10.01  | | | | 
% 68.94/10.01  | | | | Case 1:
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | |   (608)  all_6_5 = e3
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | | REF_CLOSE: (427), (603), (608) are inconsistent by sub-proof #207.
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | Case 2:
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | |   (609)   ~ (all_6_5 = e3)
% 68.94/10.01  | | | | |   (610)  all_6_5 = e4 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | | BETA: splitting (12) gives:
% 68.94/10.01  | | | | | 
% 68.94/10.01  | | | | | Case 1:
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | |   (611)  unit = e3
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | | REF_CLOSE: (9), (17), (25), (611), (function-axioms) are
% 68.94/10.01  | | | | | |            inconsistent by sub-proof #262.
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | Case 2:
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | |   (612)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | | BETA: splitting (185) gives:
% 68.94/10.01  | | | | | | 
% 68.94/10.01  | | | | | | Case 1:
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | |   (613)  all_6_16 = e3
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | COMBINE_EQS: (449), (613) imply:
% 68.94/10.01  | | | | | | |   (614)  all_4_8 = e3
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | COMBINE_EQS: (404), (614) imply:
% 68.94/10.01  | | | | | | |   (615)  all_8_13 = e3
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | REDUCE: (96), (614) imply:
% 68.94/10.01  | | | | | | |   (616)   ~ (all_4_5 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | REDUCE: (80), (614) imply:
% 68.94/10.01  | | | | | | |   (617)   ~ (all_4_9 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | SIMP: (617) implies:
% 68.94/10.01  | | | | | | |   (618)   ~ (all_4_9 = e3)
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | BETA: splitting (228) gives:
% 68.94/10.01  | | | | | | | 
% 68.94/10.01  | | | | | | | Case 1:
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | |   (619)  all_8_20 = e3
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | | COMBINE_EQS: (412), (619) imply:
% 68.94/10.01  | | | | | | | |   (620)  all_4_4 = e3
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | | SIMP: (620) implies:
% 68.94/10.01  | | | | | | | |   (621)  all_4_4 = e3
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | | REDUCE: (125), (621) imply:
% 68.94/10.01  | | | | | | | |   (622)   ~ (all_4_0 = e3)
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | | REDUCE: (107), (621) imply:
% 68.94/10.01  | | | | | | | |   (623)   ~ (all_4_3 = e3)
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | | BETA: splitting (232) gives:
% 68.94/10.01  | | | | | | | | 
% 68.94/10.01  | | | | | | | | Case 1:
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | |   (624)  all_8_16 = e3
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | COMBINE_EQS: (379), (624) imply:
% 68.94/10.01  | | | | | | | | |   (625)  all_4_20 = e3
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | SIMP: (625) implies:
% 68.94/10.01  | | | | | | | | |   (626)  all_4_20 = e3
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | COMBINE_EQS: (358), (626) imply:
% 68.94/10.01  | | | | | | | | |   (627)  all_10_4 = e3
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | REDUCE: (38), (626) imply:
% 68.94/10.01  | | | | | | | | |   (628)   ~ (all_4_21 = e3)
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | SIMP: (628) implies:
% 68.94/10.01  | | | | | | | | |   (629)   ~ (all_4_21 = e3)
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | REDUCE: (36), (626) imply:
% 68.94/10.01  | | | | | | | | |   (630)   ~ (all_4_23 = e3)
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | SIMP: (630) implies:
% 68.94/10.01  | | | | | | | | |   (631)   ~ (all_4_23 = e3)
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | BETA: splitting (245) gives:
% 68.94/10.01  | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | Case 1:
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | |   (632)  all_8_4 = e0
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | COMBINE_EQS: (375), (632) imply:
% 68.94/10.01  | | | | | | | | | |   (633)  all_4_10 = e0
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | SIMP: (633) implies:
% 68.94/10.01  | | | | | | | | | |   (634)  all_4_10 = e0
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | REDUCE: (94), (634) imply:
% 68.94/10.01  | | | | | | | | | |   (635)   ~ (all_4_5 = e0)
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | REDUCE: (491), (634) imply:
% 68.94/10.01  | | | | | | | | | |   (636)   ~ (e3 = e0)
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | REDUCE: (490), (634) imply:
% 68.94/10.01  | | | | | | | | | |   (637)   ~ (e1 = e0)
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | BETA: splitting (291) gives:
% 68.94/10.01  | | | | | | | | | | 
% 68.94/10.01  | | | | | | | | | | Case 1:
% 68.94/10.01  | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | |   (638)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 68.94/10.02  | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 68.94/10.02  | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 68.94/10.02  | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 68.94/10.02  | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 68.94/10.02  | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 68.94/10.02  | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 68.94/10.02  | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 68.94/10.02  | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 68.94/10.02  | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e3))))
% 68.94/10.02  | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | | REF_CLOSE: (352), (355), (483), (602), (603), (638) are
% 68.94/10.02  | | | | | | | | | | |            inconsistent by sub-proof #184.
% 68.94/10.02  | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | Case 2:
% 68.94/10.02  | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | |   (639)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 68.94/10.02  | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 68.94/10.02  | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 68.94/10.02  | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 68.94/10.02  | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 68.94/10.02  | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 68.94/10.02  | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 68.94/10.02  | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 68.94/10.02  | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 68.94/10.02  | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 68.94/10.02  | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 68.94/10.02  | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 68.94/10.02  | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 68.94/10.02  | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 68.94/10.02  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 68.94/10.02  | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 68.94/10.02  | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 68.94/10.02  | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | | BETA: splitting (639) gives:
% 68.94/10.02  | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | | Case 1:
% 68.94/10.02  | | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | | |   (640)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 68.94/10.02  | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 68.94/10.02  | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 68.94/10.02  | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 68.94/10.02  | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 68.94/10.02  | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 68.94/10.02  | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 68.94/10.02  | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 68.94/10.02  | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 68.94/10.02  | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 68.94/10.02  | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 68.94/10.02  | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 68.94/10.02  | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 68.94/10.02  | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 68.94/10.02  | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 68.94/10.02  | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 68.94/10.02  | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 68.94/10.02  | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 68.94/10.02  | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 68.94/10.02  | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 68.94/10.02  | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 68.94/10.02  | | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 68.94/10.02  | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 68.94/10.02  | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 68.94/10.02  | | | | | | | | | | | |            (602), (603), (629), (640) are inconsistent by
% 68.94/10.02  | | | | | | | | | | | |            sub-proof #182.
% 68.94/10.02  | | | | | | | | | | | | 
% 68.94/10.02  | | | | | | | | | | | Case 2:
% 68.94/10.02  | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | |   (641)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.02  | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.02  | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.02  | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.02  | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.02  | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.02  | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.02  | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.02  | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.02  | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.02  | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.02  | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.02  | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.02  | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.02  | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | BETA: splitting (641) gives:
% 69.37/10.02  | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | Case 1:
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | |   (642)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 69.37/10.02  | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 69.37/10.02  | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 69.37/10.02  | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 69.37/10.02  | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 69.37/10.02  | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 69.37/10.02  | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 69.37/10.02  | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (642) are inconsistent by
% 69.37/10.02  | | | | | | | | | | | | |            sub-proof #272.
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | Case 2:
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | |   (643)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 69.37/10.02  | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 69.37/10.02  | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 69.37/10.02  | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 69.37/10.02  | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 69.37/10.02  | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.02  | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 69.37/10.02  | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.37/10.02  | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 69.37/10.02  | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 69.37/10.02  | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.02  | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |              e0))
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | ALPHA: (643) implies:
% 69.37/10.02  | | | | | | | | | | | | |   (644)   ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |              e0))
% 69.37/10.02  | | | | | | | | | | | | |   (645)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 69.37/10.02  | | | | | | | | | | | | |              e0))
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | BETA: splitting (644) gives:
% 69.37/10.02  | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | Case 1:
% 69.37/10.02  | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | |   (646)   ~ (all_10_21 = e0)
% 69.37/10.02  | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | REDUCE: (303), (646) imply:
% 69.37/10.02  | | | | | | | | | | | | | |   (647)   ~ (all_4_9 = e0)
% 69.37/10.02  | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 69.37/10.02  | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | Case 1:
% 69.37/10.02  | | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | |   (648)  all_8_1 = e0
% 69.37/10.02  | | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | | REF_CLOSE: (374), (635), (648) are inconsistent by sub-proof
% 69.37/10.02  | | | | | | | | | | | | | | |            #277.
% 69.37/10.02  | | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | Case 2:
% 69.37/10.02  | | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | |   (649)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 69.37/10.02  | | | | | | | | | | | | | | |          all_8_21 = e0
% 69.37/10.02  | | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | | BETA: splitting (649) gives:
% 69.37/10.02  | | | | | | | | | | | | | | | 
% 69.37/10.02  | | | | | | | | | | | | | | | Case 1:
% 69.37/10.02  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | |   (650)  all_8_3 = e0
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (384), (650) are inconsistent by sub-proof
% 69.37/10.03  | | | | | | | | | | | | | | | |            #276.
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | |   (651)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | REF_CLOSE: (18), (325), (335), (394), (415), (509), (615),
% 69.37/10.03  | | | | | | | | | | | | | | | |            (645), (647), (651) are inconsistent by sub-proof
% 69.37/10.03  | | | | | | | | | | | | | | | |            #231.
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | End of split
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | End of split
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | |   (652)  all_10_24 = e3 &  ~ (unit = e0)
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | ALPHA: (652) implies:
% 69.37/10.03  | | | | | | | | | | | | | |   (653)  all_10_24 = e3
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 69.37/10.03  | | | | | | | | | | | | | |            (370), (470), (493), (622), (653) are inconsistent
% 69.37/10.03  | | | | | | | | | | | | | |            by sub-proof #176.
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | End of split
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | End of split
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | End of split
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | End of split
% 69.37/10.03  | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | |   (654)  all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 69.37/10.03  | | | | | | | | | |          all_8_22 = e0
% 69.37/10.03  | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | BETA: splitting (654) gives:
% 69.37/10.03  | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | |   (655)  all_8_5 = e0
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | REF_CLOSE: (15), (469), (655) are inconsistent by sub-proof
% 69.37/10.03  | | | | | | | | | | |            #271.
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | |   (656)  all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | BETA: splitting (656) gives:
% 69.37/10.03  | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | |   (657)  all_8_8 = e0
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | REF_CLOSE: (18), (397), (657) are inconsistent by sub-proof
% 69.37/10.03  | | | | | | | | | | | |            #175.
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | |   (658)  all_8_14 = e0 | all_8_22 = e0
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | BETA: splitting (658) gives:
% 69.37/10.03  | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | |   (659)  all_8_14 = e0
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | REF_CLOSE: (407), (510), (659) are inconsistent by sub-proof
% 69.37/10.03  | | | | | | | | | | | | |            #174.
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | |   (660)  all_8_22 = e0
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | COMBINE_EQS: (416), (660) imply:
% 69.37/10.03  | | | | | | | | | | | | |   (661)  all_4_14 = e0
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | SIMP: (661) implies:
% 69.37/10.03  | | | | | | | | | | | | |   (662)  all_4_14 = e0
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | REDUCE: (70), (662) imply:
% 69.37/10.03  | | | | | | | | | | | | |   (663)   ~ (all_4_10 = e0)
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | REDUCE: (505), (662) imply:
% 69.37/10.03  | | | | | | | | | | | | |   (664)   ~ (e3 = e0)
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | REDUCE: (497), (662) imply:
% 69.37/10.03  | | | | | | | | | | | | |   (665)   ~ (e1 = e0)
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | BETA: splitting (246) gives:
% 69.37/10.03  | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | |   (666)  all_8_4 = e2
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | COMBINE_EQS: (375), (666) imply:
% 69.37/10.03  | | | | | | | | | | | | | |   (667)  all_4_10 = e2
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | SIMP: (667) implies:
% 69.37/10.03  | | | | | | | | | | | | | |   (668)  all_4_10 = e2
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | REDUCE: (491), (668) imply:
% 69.37/10.03  | | | | | | | | | | | | | |   (669)   ~ (e3 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 69.37/10.03  | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | |   (670)  all_8_4 = e4
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | COMBINE_EQS: (666), (670) imply:
% 69.37/10.03  | | | | | | | | | | | | | | |   (671)  e4 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | REDUCE: (21), (671) imply:
% 69.37/10.03  | | | | | | | | | | | | | | |   (672)  $false
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | CLOSE: (672) is inconsistent.
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | |   (673)   ~ (all_8_4 = e4)
% 69.37/10.03  | | | | | | | | | | | | | | |   (674)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 69.37/10.03  | | | | | | | | | | | | | | |          all_8_22 = e4
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | REDUCE: (666), (673) imply:
% 69.37/10.03  | | | | | | | | | | | | | | |   (675)   ~ (e4 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 69.37/10.03  | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | |   (676)  all_6_17 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (676) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | |   (677)  all_4_13 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (677) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | |   (678)  all_8_14 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (397), (469), (483), (660),
% 69.37/10.03  | | | | | | | | | | | | | | | |            (674), (678) are inconsistent by sub-proof #172.
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | |   (679)   ~ (all_6_17 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | |   (680)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | REDUCE: (450), (679) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | |   (681)   ~ (all_4_13 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | BETA: splitting (680) gives:
% 69.37/10.03  | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | |   (682)  all_6_17 = e1
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (682) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | |   (683)  all_4_13 = e1
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | REDUCE: (495), (683) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | |   (684)  $false
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | CLOSE: (684) is inconsistent.
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | |   (685)   ~ (all_6_17 = e1)
% 69.37/10.03  | | | | | | | | | | | | | | | | |   (686)  all_6_17 = e4 | all_6_17 = e0
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | BETA: splitting (686) gives:
% 69.37/10.03  | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | |   (687)  all_6_17 = e4
% 69.37/10.03  | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (687) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | |   (688)  all_4_13 = e4
% 69.37/10.03  | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | REDUCE: (105), (688) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | |   (689)   ~ (all_4_3 = e4)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | |   (690)  all_6_15 = e3
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (690) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | |   (691)  all_4_3 = e3
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | SIMP: (691) implies:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | |   (692)  all_4_3 = e3
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | REDUCE: (623), (692) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | |   (693)  $false
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | CLOSE: (693) is inconsistent.
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | |   (694)  all_6_15 = e4 | all_6_15 = e2 | all_6_15 = e1 |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | |          all_6_15 = e0
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | |   (695)  all_8_2 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (695) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | |   (696)  all_4_1 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | SIMP: (696) implies:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | |   (697)  all_4_1 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (697) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | |   (698)  all_10_5 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (697) imply:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | |   (699)   ~ (all_4_3 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | SIMP: (699) implies:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | |   (700)   ~ (all_4_3 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |   (701)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (483), (602), (698), (701) are
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |   (702)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.03  | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |   (703)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (703) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |   (704)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              e2))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (483), (698), (704) are inconsistent by
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #187.
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |   (705)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (705) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |   (706)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (706) are inconsistent by
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #272.
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |   (707)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (707) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |   (708)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (708) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (709)   ~ (all_10_18 = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (709) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (710)  $false
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (710) is inconsistent.
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_10_19 = e1 &  ~ (unit = e0)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (711) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_10_19 = e1
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (712) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (713)  all_4_23 = e1
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (713) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_4_23 = e1
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (714) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |   (715)   ~ (all_4_3 = e1)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (475), (689), (694), (700), (715) are
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #237.
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | |   (716)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | |          all_8_17 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | |            (291), (341), (352), (355), (382), (384), (391),
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | |            (469), (471), (473), (483), (487), (601), (602),
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | |            (603), (629), (716) are inconsistent by sub-proof
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | |            #269.
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (717)  all_6_17 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (717) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (718)  all_4_13 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | REDUCE: (510), (718) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (719)  $false
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | CLOSE: (719) is inconsistent.
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | End of split
% 69.37/10.04  | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | |   (720)  all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 |
% 69.37/10.04  | | | | | | | | | | | | | |          all_8_22 = e2
% 69.37/10.04  | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | BETA: splitting (720) gives:
% 69.37/10.04  | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | |   (721)  all_8_5 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | COMBINE_EQS: (469), (721) imply:
% 69.37/10.04  | | | | | | | | | | | | | | |   (722)  e2 = e1
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | REDUCE: (17), (722) imply:
% 69.37/10.04  | | | | | | | | | | | | | | |   (723)  $false
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | CLOSE: (723) is inconsistent.
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | |   (724)  all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | BETA: splitting (724) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | |   (725)  all_8_8 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | REF_CLOSE: (19), (397), (725) are inconsistent by sub-proof
% 69.37/10.04  | | | | | | | | | | | | | | | |            #171.
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | Case 2:
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | |   (726)  all_8_14 = e2 | all_8_22 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (727)  all_8_14 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (727) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (728)  all_4_13 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | SIMP: (728) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (729)  all_4_13 = e2
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | REDUCE: (71), (729) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (730)   ~ (all_4_10 = e2)
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | REDUCE: (56), (729) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (731)   ~ (all_4_23 = e2)
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | SIMP: (731) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (732)   ~ (all_4_23 = e2)
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | REDUCE: (503), (729) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | |   (733)   ~ (e3 = e2)
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (734)  all_8_4 = e4
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (734) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (735)  all_4_10 = e4
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | SIMP: (735) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (736)  all_4_10 = e4
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | REDUCE: (123), (736) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | |   (737)   ~ (all_4_0 = e4)
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | |   (738)  all_8_2 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (738) imply:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | |   (739)  all_4_1 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | SIMP: (739) implies:
% 69.37/10.04  | | | | | | | | | | | | | | | | | | |   (740)  all_4_1 = e0
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.04  | | | | | | | | | | | | | | | | | | | REDUCE: (472), (740) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |   (741)   ~ (e4 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |            (602), (603), (629), (738) are inconsistent by
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |            sub-proof #268.
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |   (742)   ~ (all_8_2 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | REDUCE: (382), (742) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | |   (743)   ~ (all_4_1 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | BETA: splitting (610) gives:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (744)  all_6_5 = e2
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (744) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (745)  all_4_1 = e2
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | SIMP: (745) implies:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (746)  all_4_1 = e2
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (746) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (747)  all_10_5 = e2
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (746) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (748)   ~ (all_4_0 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (746) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (749)   ~ (all_4_3 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | SIMP: (749) implies:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (750)   ~ (all_4_3 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | REDUCE: (472), (746) imply:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | |   (751)   ~ (e4 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |   (752)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (483), (602), (747), (752) are
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |   (753)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (753) gives:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |   (754)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | ALPHA: (754) implies:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |   (755)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              e2))
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (483), (747), (755) are inconsistent by
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #187.
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |   (756)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |   (757)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (757) are inconsistent by
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #272.
% 69.37/10.05  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |   (758)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (758) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |   (759)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |   (760)   ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (760) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | |   (761)   ~ (all_10_0 = e0)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (761) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | |   (762)   ~ (all_4_0 = e0)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  all_6_0 = e3
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (622), (763) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | |            #170.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (764)   ~ (all_6_0 = e3)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_6_0 = e4 | all_6_0 = e2 | all_6_0 = e1 |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_0 = e0
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (765) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_6_0 = e2
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (766) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  all_4_0 = e2
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (767) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_4_0 = e2
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (768) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  $false
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (769) is inconsistent.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  all_6_0 = e4 | all_6_0 = e1 | all_6_0 = e0
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (770) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_6_0 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (771) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_4_0 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (772) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_10_0 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (772) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)   ~ (e4 = e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)   ~ (all_10_18 = e0)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (775) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  $false
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (776) is inconsistent.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  all_10_19 = e1 &  ~ (unit = e0)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (777) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  all_10_19 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (778) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)  all_4_23 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (779) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)  all_4_23 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (780) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)  all_8_19 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (780) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)   ~ (all_4_3 = e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (780) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)   ~ (all_4_24 = e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (783) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)   ~ (all_4_24 = e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (780) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)   ~ (e2 = e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_8_12 = e4
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (786) imply:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  all_4_3 = e4
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (787) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  all_4_3 = e4
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e2))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (789) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (790) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e3))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (773), (791) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4 &  ~ (all_10_3 = e4))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (792) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)  all_10_0 = e2
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (773), (794) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e4))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (795) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e2)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (796) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)  all_10_0 = e2
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (773), (797) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (798) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #201.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (799) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e4))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (800) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (801) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #199.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e4)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (773), (802) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #166.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 &  ~ (all_10_11 = e2))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e0)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (773), (804) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e2))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (805) are inconsistent by sub-proof
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #197.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (806) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (807) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e1))
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (808) gives:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e3)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (809) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  all_10_18 = e3
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)  all_10_6 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (237), (309), (311), (352),
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (470), (483), (615), (727), (759), (786),
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (810), (811) are inconsistent by sub-proof #161.
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 =
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            e1)
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (812) implies:
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  all_10_18 = e3
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)  all_10_6 = e1
% 69.37/10.06  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (237), (309), (311), (352),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (470), (483), (615), (727), (759), (786),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (813), (814) are inconsistent by sub-proof #161.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_10_13 = e2))
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (370), (470), (493), (622), (815) are inconsistent
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #160.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (816) gives:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2))
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (817) are inconsistent
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            = e1 &  ~ (all_10_23 = e0))
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (294), (332), (784), (818) are inconsistent
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #155.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_19 = e4
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (311), (483), (615), (727),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (781), (819) are inconsistent by sub-proof #164.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  all_6_0 = e4 | all_6_0 = e0
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (737), (762), (820) are inconsistent by
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | |   (821)  all_10_4 = e4 &  ~ (unit = e0)
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (627), (821) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | |   (822)   ~ (all_6_5 = e2)
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | REDUCE: (427), (822) imply:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | |   (823)   ~ (all_4_1 = e2)
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | |            (602), (603), (629), (823) are inconsistent by
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | |            sub-proof #183.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | |   (824)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 69.37/10.07  | | | | | | | | | | | | | | | | | |          all_8_22 = e4
% 69.37/10.07  | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (397), (469), (483), (660),
% 69.37/10.07  | | | | | | | | | | | | | | | | | |            (727), (824) are inconsistent by sub-proof #172.
% 69.37/10.07  | | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | |   (825)  all_8_22 = e2
% 69.37/10.07  | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | COMBINE_EQS: (660), (825) imply:
% 69.37/10.07  | | | | | | | | | | | | | | | | |   (826)  e2 = e0
% 69.37/10.07  | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | REDUCE: (16), (826) imply:
% 69.37/10.07  | | | | | | | | | | | | | | | | |   (827)  $false
% 69.37/10.07  | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | | CLOSE: (827) is inconsistent.
% 69.37/10.07  | | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | |   (828)   ~ (all_8_16 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | REDUCE: (379), (828) imply:
% 69.37/10.07  | | | | | | | | |   (829)   ~ (all_4_20 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | BETA: splitting (262) gives:
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | |   (830)  all_8_0 = e3
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | REF_CLOSE: (372), (622), (830) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | |            #152.
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | |   (831)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 69.37/10.07  | | | | | | | | | |          all_8_16 = e3
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | BETA: splitting (831) gives:
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | |   (832)  all_8_1 = e3
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | REF_CLOSE: (374), (616), (832) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | | |            #151.
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | |   (833)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | REF_CLOSE: (375), (378), (379), (491), (604), (829), (833)
% 69.37/10.07  | | | | | | | | | | |            are inconsistent by sub-proof #148.
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | End of split
% 69.37/10.07  | | | | | | | | 
% 69.37/10.07  | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | 
% 69.37/10.07  | | | | | | | |   (834)  all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 69.37/10.07  | | | | | | | |          all_8_24 = e3
% 69.37/10.07  | | | | | | | | 
% 69.37/10.07  | | | | | | | | BETA: splitting (261) gives:
% 69.37/10.07  | | | | | | | | 
% 69.37/10.07  | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | |   (835)  all_8_0 = e3
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | COMBINE_EQS: (372), (835) imply:
% 69.37/10.07  | | | | | | | | |   (836)  all_4_0 = e3
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | SIMP: (836) implies:
% 69.37/10.07  | | | | | | | | |   (837)  all_4_0 = e3
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | REDUCE: (128), (837) imply:
% 69.37/10.07  | | | | | | | | |   (838)   ~ (all_4_1 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | REDUCE: (126), (837) imply:
% 69.37/10.07  | | | | | | | | |   (839)   ~ (all_4_3 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | SIMP: (839) implies:
% 69.37/10.07  | | | | | | | | |   (840)   ~ (all_4_3 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | REDUCE: (124), (837) imply:
% 69.37/10.07  | | | | | | | | |   (841)   ~ (all_4_5 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | REDUCE: (123), (837) imply:
% 69.37/10.07  | | | | | | | | |   (842)   ~ (all_4_10 = e3)
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | BETA: splitting (834) gives:
% 69.37/10.07  | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | |   (843)  all_8_21 = e3
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | REF_CLOSE: (415), (618), (843) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | |            #147.
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | |   (844)  all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | BETA: splitting (844) gives:
% 69.37/10.07  | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | |   (845)  all_8_22 = e3
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | REF_CLOSE: (416), (505), (845) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | | |            #146.
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | |   (846)  all_8_23 = e3 | all_8_24 = e3
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | BETA: splitting (846) gives:
% 69.37/10.07  | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | |   (847)  all_8_23 = e3
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | REF_CLOSE: (419), (606), (847) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | | | |            #145.
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | |   (848)  all_8_24 = e3
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | COMBINE_EQS: (421), (848) imply:
% 69.37/10.07  | | | | | | | | | | | |   (849)  all_4_24 = e3
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | SIMP: (849) implies:
% 69.37/10.07  | | | | | | | | | | | |   (850)  all_4_24 = e3
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | COMBINE_EQS: (294), (850) imply:
% 69.37/10.07  | | | | | | | | | | | |   (851)  all_10_24 = e3
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | REDUCE: (99), (850) imply:
% 69.37/10.07  | | | | | | | | | | | |   (852)   ~ (all_4_4 = e3)
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | REDUCE: (35), (850) imply:
% 69.37/10.07  | | | | | | | | | | | |   (853)   ~ (all_4_20 = e3)
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | REDUCE: (32), (850) imply:
% 69.37/10.07  | | | | | | | | | | | |   (854)   ~ (all_4_21 = e3)
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | REDUCE: (29), (850) imply:
% 69.37/10.07  | | | | | | | | | | | |   (855)   ~ (all_4_23 = e3)
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | BETA: splitting (196) gives:
% 69.37/10.07  | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | |   (856)  all_6_2 = e3
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | REF_CLOSE: (431), (491), (856) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | | | | |            #144.
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | |   (857)   ~ (all_6_2 = e3)
% 69.37/10.07  | | | | | | | | | | | | |   (858)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 |
% 69.37/10.07  | | | | | | | | | | | | |          all_6_2 = e0
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | BETA: splitting (189) gives:
% 69.37/10.07  | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | |   (859)  all_6_11 = e3
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | REF_CLOSE: (437), (488), (859) are inconsistent by sub-proof
% 69.37/10.07  | | | | | | | | | | | | | |            #143.
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | Case 2:
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | |   (860)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 |
% 69.37/10.07  | | | | | | | | | | | | | |          all_6_11 = e0
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 69.37/10.07  | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | |   (861)  all_8_12 = e1
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | COMBINE_EQS: (403), (861) imply:
% 69.37/10.07  | | | | | | | | | | | | | | |   (862)  all_4_3 = e1
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | SIMP: (862) implies:
% 69.37/10.07  | | | | | | | | | | | | | | |   (863)  all_4_3 = e1
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | REDUCE: (103), (863) imply:
% 69.37/10.07  | | | | | | | | | | | | | | |   (864)   ~ (all_4_23 = e1)
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | SIMP: (864) implies:
% 69.37/10.07  | | | | | | | | | | | | | | |   (865)   ~ (all_4_23 = e1)
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 69.37/10.07  | | | | | | | | | | | | | | | 
% 69.37/10.07  | | | | | | | | | | | | | | | Case 1:
% 69.37/10.07  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | |   (866)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 69.37/10.08  | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 69.37/10.08  | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 69.37/10.08  | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.37/10.08  | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e3))))
% 69.37/10.08  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | BETA: splitting (866) gives:
% 69.37/10.08  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | |   (867)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 69.37/10.08  | | | | | | | | | | | | | | | | |              ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 69.37/10.08  | | | | | | | | | | | | | | | | |              = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 69.37/10.08  | | | | | | | | | | | | | | | | |            | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |             ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e4)))
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | | ALPHA: (867) implies:
% 69.37/10.08  | | | | | | | | | | | | | | | | |   (868)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e4))
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (355), (603), (868) are inconsistent by
% 69.37/10.08  | | | | | | | | | | | | | | | | |            sub-proof #185.
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | |   (869)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 69.37/10.08  | | | | | | | | | | | | | | | | |              ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |             ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e3)))
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (483), (602), (869) are inconsistent by
% 69.37/10.08  | | | | | | | | | | | | | | | | |            sub-proof #273.
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | End of split
% 69.37/10.08  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | Case 2:
% 69.37/10.08  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | |   (870)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 69.37/10.08  | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.08  | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.08  | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.08  | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.08  | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.08  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | BETA: splitting (870) gives:
% 69.37/10.08  | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | |   (871)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 69.37/10.08  | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 69.37/10.08  | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 69.37/10.08  | | | | | | | | | | | | | | | | |            (602), (603), (854), (871) are inconsistent by
% 69.37/10.08  | | | | | | | | | | | | | | | | |            sub-proof #182.
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.08  | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.08  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | |   (872)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.37/10.09  | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.37/10.09  | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.37/10.09  | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.37/10.09  | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.37/10.09  | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.37/10.09  | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.09  | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.37/10.09  | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | BETA: splitting (872) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (873)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (873) are inconsistent by
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            sub-proof #272.
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (874)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 69.37/10.09  | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | ALPHA: (874) implies:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (875)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 69.37/10.09  | | | | | | | | | | | | | | | | | |              e0))
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | BETA: splitting (875) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (876)   ~ (all_10_18 = e0)
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | REDUCE: (470), (876) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (877)  $false
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | CLOSE: (877) is inconsistent.
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (878)  all_10_19 = e1 &  ~ (unit = e0)
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | ALPHA: (878) implies:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (879)  all_10_19 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (879) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (880)  all_4_23 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | SIMP: (880) implies:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (881)  all_4_23 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | REDUCE: (865), (881) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (882)  $false
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | CLOSE: (882) is inconsistent.
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | End of split
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | End of split
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | End of split
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | End of split
% 69.37/10.09  | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | |   (883)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 69.37/10.09  | | | | | | | | | | | | | | |          all_8_19 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | BETA: splitting (883) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | |   (884)  all_8_13 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | REF_CLOSE: (493), (615), (884) are inconsistent by sub-proof
% 69.37/10.09  | | | | | | | | | | | | | | | |            #242.
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | |   (885)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | BETA: splitting (885) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | |   (886)  all_8_14 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (495), (886) are inconsistent by sub-proof
% 69.37/10.09  | | | | | | | | | | | | | | | | |            #142.
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | |   (887)  all_8_15 = e1 | all_8_19 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | BETA: splitting (887) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (888)  all_8_15 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (888) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (889)  e1 = e0
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | REDUCE: (15), (889) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (890)  $false
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | CLOSE: (890) is inconsistent.
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (891)  all_8_19 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (891) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (892)  all_4_23 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | SIMP: (892) implies:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (893)  all_4_23 = e1
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | REDUCE: (103), (893) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (894)   ~ (all_4_3 = e1)
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | REDUCE: (36), (893) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (895)   ~ (all_4_20 = e1)
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | REDUCE: (31), (893) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | |   (896)   ~ (all_4_22 = e1)
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (897)  all_6_15 = e3
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (897) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (898)  all_4_3 = e3
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | REDUCE: (840), (898) imply:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (899)  $false
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | CLOSE: (899) is inconsistent.
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | Case 2:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (900)   ~ (all_6_15 = e3)
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |   (901)  all_6_15 = e4 | all_6_15 = e2 | all_6_15 = e1 |
% 69.37/10.09  | | | | | | | | | | | | | | | | | | |          all_6_15 = e0
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | Case 1:
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | |   (902)  all_6_4 = e3
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | | 
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (853), (902) are inconsistent by sub-proof
% 69.37/10.09  | | | | | | | | | | | | | | | | | | | |            #224.
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | |   (903)   ~ (all_6_4 = e3)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | |   (904)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 |
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | |          all_6_4 = e0
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (905)  all_8_12 = e4
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (905) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (906)  all_4_3 = e4
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | SIMP: (906) implies:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (907)  all_4_3 = e4
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (907) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (908)   ~ (all_4_4 = e4)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | SIMP: (908) implies:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (909)   ~ (all_4_4 = e4)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (907) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (910)   ~ (all_4_13 = e4)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | SIMP: (910) implies:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | |   (911)   ~ (all_4_13 = e4)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (912)  all_6_17 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (912) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (913)  all_4_13 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (913) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (914)  all_8_14 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (913) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (915)   ~ (all_4_10 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (913) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (916)   ~ (all_4_14 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | SIMP: (916) implies:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (917)   ~ (all_4_14 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (911), (913) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (918)   ~ (e4 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (913) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | |   (919)   ~ (e3 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_6_22 = e3
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (920) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | |   (921)  all_4_14 = e3
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (921) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | |   (922)  $false
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (922) is inconsistent.
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | |   (923)   ~ (all_6_22 = e3)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | |   (924)  all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 |
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | |          all_6_22 = e0
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (925)  all_8_2 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (925) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (926)  all_4_1 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (926) implies:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (927)  all_4_1 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (355), (927) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_10_5 = e2
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (927) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (929)   ~ (all_4_4 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (929) implies:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (930)   ~ (all_4_4 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (927) imply:
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | |   (931)   ~ (all_4_21 = e2)
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.09  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (931) implies:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | |   (932)   ~ (all_4_21 = e2)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  all_8_2 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (925), (933) are inconsistent by sub-proof
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | |            #141.
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_17 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (934) gives:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  all_8_3 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (384), (935) are inconsistent by sub-proof
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | |            #276.
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (936) gives:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  all_8_5 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (469), (937) are inconsistent by sub-proof
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)  all_8_10 = e0 | all_8_17 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (938) gives:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  all_8_10 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (601), (939) are inconsistent by sub-proof
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #270.
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)  all_8_17 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (940) imply:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  all_4_21 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (941) implies:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  all_4_21 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (942) imply:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)   ~ (all_4_20 = e0)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (487), (942) imply:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)   ~ (e4 = e0)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (942) imply:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)   ~ (e3 = e0)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (932), (942) imply:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)   ~ (e2 = e0)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (947) gives:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)))
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (948) implies:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (949)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4))
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (928), (949) are inconsistent by
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #189.
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (950)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3)))
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (352), (483), (602), (950) are inconsistent by
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #273.
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (951)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.69/10.10  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (952)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (952) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (953)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (483), (928), (953) are inconsistent by
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #187.
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (954)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (954) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (955)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (955) are inconsistent by
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #272.
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (956)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (956) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (957)   ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (958)   ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (959)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (960)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (961)   ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (960) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (962)   ~ (all_10_11 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (335), (962) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (963)   ~ (all_4_7 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (964)  all_8_6 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (964) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (965)  all_4_2 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (965) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (966)  all_10_10 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (965) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (967)   ~ (all_4_4 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (967) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (968)   ~ (all_4_4 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (965) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (969)   ~ (all_4_7 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (965) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (970)   ~ (all_4_22 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (970) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (971)   ~ (all_4_22 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (972)  all_6_20 = e3
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (972) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (973)  all_4_4 = e3
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (852), (973) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (974)  $false
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (974) is inconsistent.
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (975)   ~ (all_6_20 = e3)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (976)  all_6_20 = e4 | all_6_20 = e2 | all_6_20 = e1 |
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_20 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (977)   ~ (all_10_10 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (966), (977) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (978)  $false
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (978) is inconsistent.
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (979)  all_10_14 = e4 &  ~ (unit = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (979) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (980)  all_10_14 = e4
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (981)   ~ (unit = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (980) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (982)  all_4_22 = e4
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (982) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (983)  all_4_22 = e4
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (983) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (984)  all_8_18 = e4
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (983) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (985)   ~ (all_4_20 = e4)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (904) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (986)  all_6_4 = e2
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (986) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (987)  all_4_20 = e2
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (987) implies:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (988)  all_4_20 = e2
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (988) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (989)   ~ (all_4_5 = e2)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (990)   ~ (all_10_22 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (990) imply:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (991)   ~ (all_4_14 = e0)
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (992)  all_8_4 = e0
% 69.69/10.11  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (992) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (993)  all_4_10 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (993) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (994)  all_4_10 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (994) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (995)   ~ (all_4_5 = e0)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (994) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (996)   ~ (all_4_14 = e0)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (994) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (997)  op(e4, e2) = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (998)  all_6_1 = e3
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (616), (998) are inconsistent by sub-proof
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #263.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (999)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 |
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_1 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1000)  all_8_4 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (992), (1000) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1001)  e4 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1001) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1002)  $false
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1002) is inconsistent.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1003)   ~ (all_8_4 = e4)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1004)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1004) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1005)  all_8_5 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (1005) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1006)  e4 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (905), (1006) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1007)  all_8_12 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (237), (309), (311), (407), (411),
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (450), (470), (483), (495), (510), (597), (615),
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (911), (959), (1007) are inconsistent by sub-proof
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #139.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1008)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1008) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1009)  all_8_8 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (397), (1009) are inconsistent by sub-proof
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #138.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1010)  all_8_14 = e4 | all_8_22 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1010) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1011)  all_8_14 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (914), (1011) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1012)  e4 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1012) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1013)  $false
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1013) is inconsistent.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1014)  all_8_22 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1014) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1015)  all_4_14 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1015) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1016)  all_4_14 = e4
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1016) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1017)   ~ (all_4_19 = e4)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1017) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1018)   ~ (all_4_19 = e4)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1019)  all_8_0 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (835), (1019) are inconsistent by sub-proof
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #137.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1020)  all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1020) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1021)  all_8_1 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (1021) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1022)  all_4_5 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1022) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1023)  all_4_5 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1023) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1024)   ~ (all_4_7 = e1)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1024) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1025)   ~ (all_4_7 = e1)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1026)  all_8_6 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (1026) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1027)  e1 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1027) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1028)  e1 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1028) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1029)  $false
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1029) is inconsistent.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1030)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1030) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1031)  all_8_7 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1031) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1032)  all_4_7 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1025), (1032) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1033)  $false
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1033) is inconsistent.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1034)   ~ (all_8_7 = e1)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1035)  all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (976) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1036)  all_6_20 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (930), (1036) are inconsistent by sub-proof
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #136.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1037)  all_6_20 = e4 | all_6_20 = e1 | all_6_20 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1037) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1038)  all_6_20 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (1038) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1039)  all_4_4 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1039) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1040)  all_4_4 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (1040) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1041)   ~ (all_4_19 = e1)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1041) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1042)   ~ (all_4_19 = e1)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (1040) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1043)   ~ (e4 = e1)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1044)  all_6_23 = e3
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1044) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1045)  all_4_19 = e3
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1045) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1046)  $false
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1046) is inconsistent.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1047)  all_6_23 = e4 | all_6_23 = e2 | all_6_23 = e1 |
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_23 = e0
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1047) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1048)  all_6_23 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1048) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1049)  all_4_19 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (1049) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1050)  op(e0, e1) = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (860) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1051)  all_6_11 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (1051) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1052)  all_4_7 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1052) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1053)  all_4_7 = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (1053) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1054)   ~ (all_4_17 = e2)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1054) implies:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1055)   ~ (all_4_17 = e2)
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (1053) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1056)  op(e2, e3) = e2
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1057)  all_8_8 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1057) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1058)  e3 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (851), (1058) imply:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1059)  all_10_24 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (251), (303), (325), (335),
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (394), (415), (493), (509), (615), (958),
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (960), (1021), (1059) are inconsistent by
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #135.
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1060)  all_8_11 = e1 | all_8_18 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1060) gives:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1061)  all_8_11 = e1
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.12  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (1061) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1062)  all_4_17 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1055), (1062) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1063)   ~ (e2 = e1)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1062) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1064)  op(e2, e1) = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (612) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1065)  unit = e2
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (10), (17), (25), (1056), (1065),
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #133.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1066)  unit = e4 | unit = e1 | unit = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1066) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1067)  unit = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1067) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1068)  op(e2, e1) = e2
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1067) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1069)  op(e0, e1) = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e1,
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (1050), (1069) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1070)  e2 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e1,
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (1064), (1068) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1071)  e2 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1070), (1071) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1072)  e1 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1072) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1073)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1073) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1074)  unit = e4 | unit = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1074) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1075)  unit = e4
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1075) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1076)  op(e4, e2) = e2
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (997), (1076) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1077)  e2 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1077) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1078)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1079)  unit = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (981), (1079) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1080)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1080) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1081)  all_8_18 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (984), (1081) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1082)  e4 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1082) implies:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1083)  e4 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (905), (1083) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_8_12 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (237), (309), (311), (407), (411),
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (450), (470), (483), (495), (510), (597), (615),
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (911), (959), (1084) are inconsistent by sub-proof
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #139.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_6_11 = e4 | all_6_11 = e1 | all_6_11 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (437), (478), (963), (1025), (1085) are
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #131.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1086)  all_6_23 = e4 | all_6_23 = e1 | all_6_23 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1086) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1087)  all_6_23 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1087) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  all_4_19 = e1
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1088) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1089) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)  all_6_23 = e4 | all_6_23 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1090) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  all_6_23 = e4
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1091) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  all_4_19 = e4
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1018), (1092) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1093) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)  all_6_23 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1094) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  all_4_19 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1095) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1096) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)  all_6_20 = e4 | all_6_20 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (909), (968), (1097) are inconsistent by
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #130.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)   ~ (all_8_1 = e1)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (1098) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)   ~ (all_4_5 = e1)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (476), (989), (995), (999), (1099) are
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #226.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)   ~ (all_8_4 = e0)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (375), (431), (461), (490), (497), (858),
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (915), (917), (924), (991), (1100) are
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #124.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  all_10_24 = e2 &  ~ (unit = e0)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1101) implies:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_10_24 = e2
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (851), (1102) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  e3 = e2
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1103) implies:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  e3 = e2
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1104) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1105) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (895), (943), (985), (1106) are
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)   ~ (all_8_6 = e0)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (1107) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)   ~ (all_4_2 = e0)
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_8_0 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (835), (1109) are inconsistent by sub-proof
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #191.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1110) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  all_8_2 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (925), (1111) are inconsistent by sub-proof
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #141.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1112) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  all_8_6 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1113) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  all_4_2 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1108), (1114) imply:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  $false
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1115) is inconsistent.
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  all_8_12 = e0 | all_8_20 = e0
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1116) gives:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.13  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  all_8_12 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (905), (1117) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  e4 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1118) implies:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  e4 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1119) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  $false
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1120) is inconsistent.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  all_8_20 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1121) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  all_4_4 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1122) implies:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  all_4_4 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1123) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)   ~ (all_4_9 = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1124) implies:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)   ~ (all_4_9 = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1123) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)   ~ (all_4_14 = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1126) implies:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)   ~ (all_4_14 = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  all_8_4 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1128) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  all_4_10 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1129) implies:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  all_4_10 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1130) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)   ~ (all_4_5 = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)  all_8_1 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (1131), (1132) are inconsistent by
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #277.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (384), (394), (415), (615), (963),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1125), (1133) are inconsistent by sub-proof #220.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)   ~ (all_8_4 = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (375), (431), (461), (490), (497), (858),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (915), (917), (924), (1127), (1134) are
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #124.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)  all_10_14 = e3 &  ~ (unit = e0)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (509), (1135) are inconsistent by sub-proof
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #219.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | |           all_8_17 = e2
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | |            (291), (341), (352), (355), (382), (384), (391),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | |            (469), (471), (473), (483), (487), (601), (602),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | |            (603), (854), (1136) are inconsistent by sub-proof
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | |            #269.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1137)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (495), (510), (911), (1137) are
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | |   (1138)   ~ (all_8_12 = e4)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (1138) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | |   (1139)   ~ (all_4_3 = e4)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1140)  all_8_12 = e2
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1140) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1141)  all_4_3 = e2
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1141) implies:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1142)  all_4_3 = e2
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1142) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1143)   ~ (all_4_1 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1139), (1142) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1144)   ~ (e4 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1142) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1145)   ~ (e3 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |            (602), (603), (854), (1143) are inconsistent by
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #183.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1146)   ~ (all_8_12 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (1146) imply:
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |   (1147)   ~ (all_4_3 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (475), (894), (901), (1139), (1147) are
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #237.
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | |   (1148)   ~ (all_8_0 = e3)
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | REDUCE: (372), (1148) imply:
% 69.69/10.14  | | | | | | | | |   (1149)   ~ (all_4_0 = e3)
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | REF_CLOSE: (16), (20), (21), (22), (292), (294), (332), (352),
% 69.69/10.14  | | | | | | | | |            (370), (415), (416), (419), (421), (470), (493),
% 69.69/10.14  | | | | | | | | |            (505), (592), (606), (618), (834), (1149) are
% 69.69/10.14  | | | | | | | | |            inconsistent by sub-proof #123.
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | End of split
% 69.69/10.14  | | | | | | | 
% 69.69/10.14  | | | | | | Case 2:
% 69.69/10.14  | | | | | | | 
% 69.69/10.14  | | | | | | |   (1150)   ~ (all_6_16 = e3)
% 69.69/10.14  | | | | | | | 
% 69.69/10.14  | | | | | | | REDUCE: (449), (1150) imply:
% 69.69/10.14  | | | | | | |   (1151)   ~ (all_4_8 = e3)
% 69.69/10.14  | | | | | | | 
% 69.69/10.14  | | | | | | | BETA: splitting (236) gives:
% 69.69/10.14  | | | | | | | 
% 69.69/10.14  | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | |   (1152)  all_8_12 = e3
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | COMBINE_EQS: (403), (1152) imply:
% 69.69/10.14  | | | | | | | |   (1153)  all_4_3 = e3
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | SIMP: (1153) implies:
% 69.69/10.14  | | | | | | | |   (1154)  all_4_3 = e3
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | REDUCE: (126), (1154) imply:
% 69.69/10.14  | | | | | | | |   (1155)   ~ (all_4_0 = e3)
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | REDUCE: (107), (1154) imply:
% 69.69/10.14  | | | | | | | |   (1156)   ~ (all_4_4 = e3)
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | SIMP: (1156) implies:
% 69.69/10.14  | | | | | | | |   (1157)   ~ (all_4_4 = e3)
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | BETA: splitting (254) gives:
% 69.69/10.14  | | | | | | | | 
% 69.69/10.14  | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | |   (1158)  all_8_1 = e3
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | COMBINE_EQS: (374), (1158) imply:
% 69.69/10.14  | | | | | | | | |   (1159)  all_4_5 = e3
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | SIMP: (1159) implies:
% 69.69/10.14  | | | | | | | | |   (1160)  all_4_5 = e3
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | REDUCE: (95), (1160) imply:
% 69.69/10.14  | | | | | | | | |   (1161)   ~ (all_4_9 = e3)
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | SIMP: (1161) implies:
% 69.69/10.14  | | | | | | | | |   (1162)   ~ (all_4_9 = e3)
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | BETA: splitting (228) gives:
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | |   (1163)  all_8_20 = e3
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | REF_CLOSE: (412), (1157), (1163) are inconsistent by
% 69.69/10.14  | | | | | | | | | |            sub-proof #122.
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | |   (1164)  all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 69.69/10.14  | | | | | | | | | |           all_8_24 = e3
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | REF_CLOSE: (16), (20), (21), (22), (292), (294), (332),
% 69.69/10.14  | | | | | | | | | |            (352), (370), (415), (416), (419), (421), (470),
% 69.69/10.14  | | | | | | | | | |            (493), (505), (592), (606), (1155), (1162), (1164)
% 69.69/10.14  | | | | | | | | | |            are inconsistent by sub-proof #123.
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | End of split
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | |   (1165)   ~ (all_8_1 = e3)
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | REDUCE: (374), (1165) imply:
% 69.69/10.14  | | | | | | | | |   (1166)   ~ (all_4_5 = e3)
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | BETA: splitting (262) gives:
% 69.69/10.14  | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | |   (1167)  all_8_0 = e3
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | REF_CLOSE: (372), (1155), (1167) are inconsistent by
% 69.69/10.14  | | | | | | | | | |            sub-proof #152.
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | |   (1168)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 69.69/10.14  | | | | | | | | | |           all_8_16 = e3
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | BETA: splitting (1168) gives:
% 69.69/10.14  | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | |   (1169)  all_8_1 = e3
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | REF_CLOSE: (374), (1166), (1169) are inconsistent by
% 69.69/10.14  | | | | | | | | | | |            sub-proof #151.
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | |   (1170)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | BETA: splitting (232) gives:
% 69.69/10.14  | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | |   (1171)  all_8_16 = e3
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | COMBINE_EQS: (379), (1171) imply:
% 69.69/10.14  | | | | | | | | | | | |   (1172)  all_4_20 = e3
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | SIMP: (1172) implies:
% 69.69/10.14  | | | | | | | | | | | |   (1173)  all_4_20 = e3
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | COMBINE_EQS: (358), (1173) imply:
% 69.69/10.14  | | | | | | | | | | | |   (1174)  all_10_4 = e3
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | REDUCE: (38), (1173) imply:
% 69.69/10.14  | | | | | | | | | | | |   (1175)   ~ (all_4_21 = e3)
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | SIMP: (1175) implies:
% 69.69/10.14  | | | | | | | | | | | |   (1176)   ~ (all_4_21 = e3)
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | REDUCE: (36), (1173) imply:
% 69.69/10.14  | | | | | | | | | | | |   (1177)   ~ (all_4_23 = e3)
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | SIMP: (1177) implies:
% 69.69/10.14  | | | | | | | | | | | |   (1178)   ~ (all_4_23 = e3)
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | BETA: splitting (248) gives:
% 69.69/10.14  | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | |   (1179)  all_8_2 = e0
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.69/10.14  | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.69/10.14  | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 69.69/10.14  | | | | | | | | | | | | |            (602), (603), (1176), (1179) are inconsistent by
% 69.69/10.14  | | | | | | | | | | | | |            sub-proof #268.
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | Case 2:
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | |   (1180)   ~ (all_8_2 = e0)
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | REDUCE: (382), (1180) imply:
% 69.69/10.14  | | | | | | | | | | | | |   (1181)   ~ (all_4_1 = e0)
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | BETA: splitting (610) gives:
% 69.69/10.14  | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | |   (1182)  all_6_5 = e2
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | COMBINE_EQS: (427), (1182) imply:
% 69.69/10.14  | | | | | | | | | | | | | |   (1183)  all_4_1 = e2
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | SIMP: (1183) implies:
% 69.69/10.14  | | | | | | | | | | | | | |   (1184)  all_4_1 = e2
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | COMBINE_EQS: (382), (1184) imply:
% 69.69/10.14  | | | | | | | | | | | | | |   (1185)  all_8_2 = e2
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | COMBINE_EQS: (355), (1184) imply:
% 69.69/10.14  | | | | | | | | | | | | | |   (1186)  all_10_5 = e2
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | REDUCE: (472), (1184) imply:
% 69.69/10.14  | | | | | | | | | | | | | |   (1187)   ~ (e4 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | REDUCE: (603), (1184) imply:
% 69.69/10.14  | | | | | | | | | | | | | |   (1188)   ~ (e3 = e2)
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 69.69/10.14  | | | | | | | | | | | | | | 
% 69.69/10.14  | | | | | | | | | | | | | | Case 1:
% 69.69/10.14  | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | |   (1189)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 69.69/10.15  | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 69.69/10.15  | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 69.69/10.15  | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.69/10.15  | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e3))))
% 69.69/10.15  | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | REF_CLOSE: (19), (352), (483), (602), (1186), (1189) are
% 69.69/10.15  | | | | | | | | | | | | | | |            inconsistent by sub-proof #188.
% 69.69/10.15  | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | Case 2:
% 69.69/10.15  | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | |   (1190)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 69.69/10.15  | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.69/10.15  | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.69/10.15  | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 69.69/10.15  | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | BETA: splitting (1190) gives:
% 69.69/10.15  | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | Case 1:
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | |   (1191)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 69.69/10.15  | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 69.69/10.15  | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 69.69/10.15  | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.69/10.15  | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | ALPHA: (1191) implies:
% 69.69/10.15  | | | | | | | | | | | | | | | |   (1192)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |               e2))
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | REF_CLOSE: (471), (483), (1186), (1192) are inconsistent by
% 69.69/10.15  | | | | | | | | | | | | | | | |            sub-proof #187.
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | Case 2:
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | |   (1193)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.69/10.15  | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.69/10.15  | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.69/10.15  | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.69/10.15  | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.69/10.15  | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | BETA: splitting (1193) gives:
% 69.69/10.15  | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.15  | | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | |   (1194)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 69.69/10.15  | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 69.69/10.15  | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 69.69/10.15  | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 69.69/10.15  | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 69.69/10.15  | | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (1194) are inconsistent by
% 69.69/10.15  | | | | | | | | | | | | | | | | |            sub-proof #272.
% 69.69/10.15  | | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.15  | | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | |   (1195)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 69.69/10.15  | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 69.69/10.15  | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 69.69/10.15  | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 69.69/10.15  | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.15  | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.15  | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 69.69/10.15  | | | | | | | | | | | | | | | | |               e0))
% 69.69/10.15  | | | | | | | | | | | | | | | | | 
% 69.69/10.15  | | | | | | | | | | | | | | | | | ALPHA: (1195) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | |   (1196)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | | | | | | |               e0))
% 69.69/10.16  | | | | | | | | | | | | | | | | |   (1197)   ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | | | | | | |               e0))
% 69.69/10.16  | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | BETA: splitting (1197) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | |   (1198)   ~ (all_10_0 = e0)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | REDUCE: (370), (1198) imply:
% 69.69/10.16  | | | | | | | | | | | | | | | | | |   (1199)   ~ (all_4_0 = e0)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | BETA: splitting (1196) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1200)   ~ (all_10_18 = e0)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | REDUCE: (470), (1200) imply:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1201)  $false
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | CLOSE: (1201) is inconsistent.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1202)  all_10_19 = e1 &  ~ (unit = e0)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | ALPHA: (1202) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1203)  all_10_19 = e1
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (1203) imply:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1204)  all_4_23 = e1
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | SIMP: (1204) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1205)  all_4_23 = e1
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1205) imply:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1206)   ~ (all_4_24 = e1)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | SIMP: (1206) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | |   (1207)   ~ (all_4_24 = e1)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |   (1208)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (332), (352), (370), (470),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |            (1155), (1199), (1208) are inconsistent by
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |            sub-proof #121.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |   (1209)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1209) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |   (1210)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |               e2))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1210) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |   (1211)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (470), (1211) are inconsistent by sub-proof
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |            #195.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |   (1212)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_13 = e2))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1212) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1213)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |             e3)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1213) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1214)  all_10_24 = e3
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            (370), (470), (493), (1155), (1214) are
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1215)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1215) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1216) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |   (1217)  all_10_24 = e3
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |            (370), (470), (493), (1155), (1217) are
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |             e2)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1218) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  all_10_18 = e2
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |            (391), (469), (470), (471), (473), (483), (487),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |            (601), (602), (603), (1176), (1185), (1219) are
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |   (1220)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | |               e0))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |   (1221)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1221) gives:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1222)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1222) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1223)  all_10_18 = e2
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            (391), (469), (470), (471), (473), (483), (487),
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            (601), (602), (603), (1176), (1185), (1223) are
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #120.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1224)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |             e2)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1224) implies:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |   (1225)  all_10_12 = e0
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (1225) are inconsistent by sub-proof
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |   (1226)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (294), (332), (1207), (1226) are
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #155.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | |   (1227)  all_10_4 = e4 &  ~ (unit = e0)
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1174), (1227) are inconsistent by sub-proof
% 69.69/10.16  | | | | | | | | | | | | | | | | | |            #153.
% 69.69/10.16  | | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | |   (1228)   ~ (all_6_5 = e2)
% 69.69/10.16  | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | REDUCE: (427), (1228) imply:
% 69.69/10.16  | | | | | | | | | | | | | |   (1229)   ~ (all_4_1 = e2)
% 69.69/10.16  | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 69.69/10.16  | | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 69.69/10.16  | | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 69.69/10.16  | | | | | | | | | | | | | |            (602), (603), (1176), (1229) are inconsistent by
% 69.69/10.16  | | | | | | | | | | | | | |            sub-proof #183.
% 69.69/10.16  | | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | |   (1230)   ~ (all_8_16 = e3)
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | REDUCE: (379), (1230) imply:
% 69.69/10.16  | | | | | | | | | | | |   (1231)   ~ (all_4_20 = e3)
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | | REF_CLOSE: (375), (378), (379), (491), (604), (1170), (1231)
% 69.69/10.16  | | | | | | | | | | | |            are inconsistent by sub-proof #148.
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | End of split
% 69.69/10.16  | | | | | | | | 
% 69.69/10.16  | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | 
% 69.69/10.16  | | | | | | | |   (1232)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 69.69/10.16  | | | | | | | |           all_8_19 = e3
% 69.69/10.16  | | | | | | | | 
% 69.69/10.16  | | | | | | | | BETA: splitting (1232) gives:
% 69.69/10.16  | | | | | | | | 
% 69.69/10.16  | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | |   (1233)  all_8_13 = e3
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | REF_CLOSE: (404), (1151), (1233) are inconsistent by sub-proof
% 69.69/10.16  | | | | | | | | |            #119.
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | |   (1234)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | BETA: splitting (1234) gives:
% 69.69/10.16  | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | |   (1235)  all_8_14 = e3
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | REF_CLOSE: (407), (503), (1235) are inconsistent by sub-proof
% 69.69/10.16  | | | | | | | | | |            #212.
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | |   (1236)  all_8_15 = e3 | all_8_19 = e3
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | BETA: splitting (1236) gives:
% 69.69/10.16  | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | |   (1237)  all_8_15 = e3
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | COMBINE_EQS: (311), (1237) imply:
% 69.69/10.16  | | | | | | | | | | |   (1238)  e3 = e0
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | REDUCE: (18), (1238) imply:
% 69.69/10.16  | | | | | | | | | | |   (1239)  $false
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | CLOSE: (1239) is inconsistent.
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | Case 2:
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | |   (1240)  all_8_19 = e3
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | COMBINE_EQS: (411), (1240) imply:
% 69.69/10.16  | | | | | | | | | | |   (1241)  all_4_23 = e3
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | SIMP: (1241) implies:
% 69.69/10.16  | | | | | | | | | | |   (1242)  all_4_23 = e3
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | COMBINE_EQS: (309), (1242) imply:
% 69.69/10.16  | | | | | | | | | | |   (1243)  all_10_19 = e3
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | REDUCE: (33), (1242) imply:
% 69.69/10.16  | | | | | | | | | | |   (1244)   ~ (all_4_21 = e3)
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | BETA: splitting (291) gives:
% 69.69/10.16  | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | Case 1:
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.16  | | | | | | | | | | | |   (1245)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 69.69/10.16  | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 69.69/10.16  | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 69.69/10.16  | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 69.69/10.16  | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 69.69/10.16  | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 69.69/10.16  | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 69.69/10.16  | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 69.69/10.16  | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 69.69/10.16  | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 69.69/10.16  | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 69.69/10.16  | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 69.69/10.16  | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 69.69/10.16  | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 69.69/10.16  | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 69.69/10.16  | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 69.69/10.16  | | | | | | | | | | | |                   = e3))))
% 69.69/10.16  | | | | | | | | | | | | 
% 69.69/10.17  | | | | | | | | | | | | REF_CLOSE: (352), (355), (483), (602), (603), (1245) are
% 69.69/10.17  | | | | | | | | | | | |            inconsistent by sub-proof #184.
% 69.69/10.17  | | | | | | | | | | | | 
% 69.69/10.17  | | | | | | | | | | | Case 2:
% 69.69/10.17  | | | | | | | | | | | | 
% 69.69/10.17  | | | | | | | | | | | |   (1246)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 69.69/10.17  | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 69.69/10.17  | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 69.69/10.17  | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 69.69/10.17  | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 69.69/10.17  | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 69.69/10.17  | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 69.69/10.17  | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 69.69/10.17  | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 69.69/10.17  | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 69.69/10.17  | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 69.69/10.17  | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 69.69/10.17  | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 69.69/10.17  | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 69.69/10.17  | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 69.69/10.17  | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 69.69/10.17  | | | | | | | | | | | | 
% 69.69/10.17  | | | | | | | | | | | | BETA: splitting (1246) gives:
% 69.69/10.17  | | | | | | | | | | | | 
% 69.69/10.17  | | | | | | | | | | | | Case 1:
% 69.69/10.17  | | | | | | | | | | | | | 
% 69.69/10.17  | | | | | | | | | | | | |   (1247)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 69.69/10.17  | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 69.69/10.17  | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 69.69/10.17  | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 69.69/10.17  | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 69.69/10.17  | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 69.69/10.17  | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 69.69/10.17  | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 69.69/10.17  | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 69.69/10.17  | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 69.69/10.17  | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 69.69/10.17  | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 69.69/10.17  | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.05/10.17  | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (248),
% 70.05/10.17  | | | | | | | | | | | | |            (249), (291), (341), (352), (355), (382), (384),
% 70.05/10.17  | | | | | | | | | | | | |            (391), (469), (471), (473), (483), (487), (601),
% 70.05/10.17  | | | | | | | | | | | | |            (602), (603), (1244), (1247) are inconsistent by
% 70.05/10.17  | | | | | | | | | | | | |            sub-proof #182.
% 70.05/10.17  | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | Case 2:
% 70.05/10.17  | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | |   (1248)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.05/10.17  | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.05/10.17  | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.05/10.17  | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.05/10.17  | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.05/10.17  | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.05/10.17  | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.05/10.17  | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.05/10.17  | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.05/10.17  | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.05/10.17  | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.05/10.17  | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.05/10.17  | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.05/10.17  | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 70.05/10.17  | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | Case 1:
% 70.05/10.17  | | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | |   (1249)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.05/10.17  | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.05/10.17  | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.05/10.17  | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.05/10.17  | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.05/10.17  | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.05/10.17  | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.05/10.17  | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.05/10.17  | | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | | REF_CLOSE: (19), (471), (602), (1249) are inconsistent by
% 70.05/10.17  | | | | | | | | | | | | | |            sub-proof #272.
% 70.05/10.17  | | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | Case 2:
% 70.05/10.17  | | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | |   (1250)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.05/10.17  | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.05/10.17  | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.05/10.17  | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.05/10.17  | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.05/10.17  | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.05/10.17  | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.05/10.17  | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.05/10.17  | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.05/10.17  | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.05/10.17  | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.05/10.17  | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.05/10.17  | | | | | | | | | | | | | |               e0))
% 70.05/10.17  | | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | | REF_CLOSE: (470), (493), (1243), (1250) are inconsistent by
% 70.05/10.17  | | | | | | | | | | | | | |            sub-proof #118.
% 70.05/10.17  | | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | | End of split
% 70.05/10.17  | | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | | End of split
% 70.05/10.17  | | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | | End of split
% 70.05/10.17  | | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | | End of split
% 70.05/10.17  | | | | | | | | | | 
% 70.05/10.17  | | | | | | | | | End of split
% 70.05/10.17  | | | | | | | | | 
% 70.05/10.17  | | | | | | | | End of split
% 70.05/10.17  | | | | | | | | 
% 70.05/10.17  | | | | | | | End of split
% 70.05/10.17  | | | | | | | 
% 70.05/10.17  | | | | | | End of split
% 70.05/10.17  | | | | | | 
% 70.05/10.17  | | | | | End of split
% 70.05/10.17  | | | | | 
% 70.05/10.17  | | | | End of split
% 70.05/10.17  | | | | 
% 70.05/10.17  | | | Case 2:
% 70.05/10.17  | | | | 
% 70.06/10.17  | | | |   (1251)   ~ (all_6_8 = e3)
% 70.06/10.17  | | | |   (1252)  all_6_8 = e4 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 70.06/10.17  | | | | 
% 70.06/10.17  | | | | REDUCE: (443), (1251) imply:
% 70.06/10.17  | | | |   (1253)   ~ (all_4_16 = e3)
% 70.06/10.17  | | | | 
% 70.06/10.17  | | | | BETA: splitting (1252) gives:
% 70.06/10.17  | | | | 
% 70.06/10.17  | | | | Case 1:
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | |   (1254)  all_6_8 = e2
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | COMBINE_EQS: (443), (1254) imply:
% 70.06/10.17  | | | | |   (1255)  all_4_16 = e2
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | SIMP: (1255) implies:
% 70.06/10.17  | | | | |   (1256)  all_4_16 = e2
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | COMBINE_EQS: (389), (1256) imply:
% 70.06/10.17  | | | | |   (1257)  all_8_10 = e2
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (115), (1256) imply:
% 70.06/10.17  | | | | |   (1258)   ~ (all_4_1 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (53), (1256) imply:
% 70.06/10.17  | | | | |   (1259)   ~ (all_4_15 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (48), (1256) imply:
% 70.06/10.17  | | | | |   (1260)   ~ (all_4_17 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | SIMP: (1260) implies:
% 70.06/10.17  | | | | |   (1261)   ~ (all_4_17 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (46), (1256) imply:
% 70.06/10.17  | | | | |   (1262)   ~ (all_4_19 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | SIMP: (1262) implies:
% 70.06/10.17  | | | | |   (1263)   ~ (all_4_19 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (45), (1256) imply:
% 70.06/10.17  | | | | |   (1264)   ~ (all_4_21 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | SIMP: (1264) implies:
% 70.06/10.17  | | | | |   (1265)   ~ (all_4_21 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (485), (1256) imply:
% 70.06/10.17  | | | | |   (1266)   ~ (e4 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (1253), (1256) imply:
% 70.06/10.17  | | | | |   (1267)   ~ (e3 = e2)
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | REDUCE: (145), (1256) imply:
% 70.06/10.17  | | | | |   (1268)  op(e3, e1) = e2
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | BETA: splitting (191) gives:
% 70.06/10.17  | | | | | 
% 70.06/10.17  | | | | | Case 1:
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | |   (1269)  all_6_9 = e3
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | COMBINE_EQS: (455), (1269) imply:
% 70.06/10.17  | | | | | |   (1270)  all_4_21 = e3
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | SIMP: (1270) implies:
% 70.06/10.17  | | | | | |   (1271)  all_4_21 = e3
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | COMBINE_EQS: (391), (1271) imply:
% 70.06/10.17  | | | | | |   (1272)  all_8_17 = e3
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | COMBINE_EQS: (341), (1271) imply:
% 70.06/10.17  | | | | | |   (1273)  all_10_9 = e3
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | REDUCE: (114), (1271) imply:
% 70.06/10.17  | | | | | |   (1274)   ~ (all_4_1 = e3)
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | REDUCE: (33), (1271) imply:
% 70.06/10.17  | | | | | |   (1275)   ~ (all_4_23 = e3)
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | SIMP: (1275) implies:
% 70.06/10.17  | | | | | |   (1276)   ~ (all_4_23 = e3)
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | REDUCE: (32), (1271) imply:
% 70.06/10.17  | | | | | |   (1277)   ~ (all_4_24 = e3)
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | SIMP: (1277) implies:
% 70.06/10.17  | | | | | |   (1278)   ~ (all_4_24 = e3)
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | REDUCE: (487), (1271) imply:
% 70.06/10.17  | | | | | |   (1279)   ~ (e4 = e3)
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | BETA: splitting (248) gives:
% 70.06/10.17  | | | | | | 
% 70.06/10.17  | | | | | | Case 1:
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | |   (1280)  all_8_2 = e0
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | COMBINE_EQS: (382), (1280) imply:
% 70.06/10.17  | | | | | | |   (1281)  all_4_1 = e0
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | SIMP: (1281) implies:
% 70.06/10.17  | | | | | | |   (1282)  all_4_1 = e0
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | COMBINE_EQS: (355), (1282) imply:
% 70.06/10.17  | | | | | | |   (1283)  all_10_5 = e0
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | REDUCE: (128), (1282) imply:
% 70.06/10.17  | | | | | | |   (1284)   ~ (all_4_0 = e0)
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | REDUCE: (120), (1282) imply:
% 70.06/10.17  | | | | | | |   (1285)   ~ (all_4_2 = e0)
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | SIMP: (1285) implies:
% 70.06/10.17  | | | | | | |   (1286)   ~ (all_4_2 = e0)
% 70.06/10.17  | | | | | | | 
% 70.06/10.17  | | | | | | | REDUCE: (119), (1282) imply:
% 70.06/10.18  | | | | | | |   (1287)   ~ (all_4_3 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | REDUCE: (118), (1282) imply:
% 70.06/10.18  | | | | | | |   (1288)   ~ (all_4_4 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | SIMP: (1288) implies:
% 70.06/10.18  | | | | | | |   (1289)   ~ (all_4_4 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | REDUCE: (472), (1282) imply:
% 70.06/10.18  | | | | | | |   (1290)   ~ (e4 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | REDUCE: (1274), (1282) imply:
% 70.06/10.18  | | | | | | |   (1291)   ~ (e3 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | REDUCE: (1258), (1282) imply:
% 70.06/10.18  | | | | | | |   (1292)   ~ (e2 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | REDUCE: (473), (1282) imply:
% 70.06/10.18  | | | | | | |   (1293)   ~ (e1 = e0)
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | REDUCE: (148), (1282) imply:
% 70.06/10.18  | | | | | | |   (1294)  op(e3, e4) = e0
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | BETA: splitting (188) gives:
% 70.06/10.18  | | | | | | | 
% 70.06/10.18  | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | 
% 70.06/10.18  | | | | | | | |   (1295)  all_6_13 = e3
% 70.06/10.18  | | | | | | | | 
% 70.06/10.18  | | | | | | | | REF_CLOSE: (445), (507), (1295) are inconsistent by sub-proof
% 70.06/10.18  | | | | | | | |            #264.
% 70.06/10.18  | | | | | | | | 
% 70.06/10.18  | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | 
% 70.06/10.18  | | | | | | | |   (1296)   ~ (all_6_13 = e3)
% 70.06/10.18  | | | | | | | |   (1297)  all_6_13 = e4 | all_6_13 = e2 | all_6_13 = e1 |
% 70.06/10.18  | | | | | | | |           all_6_13 = e0
% 70.06/10.18  | | | | | | | | 
% 70.06/10.18  | | | | | | | | BETA: splitting (12) gives:
% 70.06/10.18  | | | | | | | | 
% 70.06/10.18  | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | |   (1298)  unit = e3
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | REDUCE: (9), (1298) imply:
% 70.06/10.18  | | | | | | | | |   (1299)  op(e3, e2) = e2
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e2, e2,
% 70.06/10.18  | | | | | | | | |              e3, simplifying with (25), (1299) gives:
% 70.06/10.18  | | | | | | | | |   (1300)  e2 = e1
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | REDUCE: (17), (1300) imply:
% 70.06/10.18  | | | | | | | | |   (1301)  $false
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | CLOSE: (1301) is inconsistent.
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | |   (1302)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | BETA: splitting (185) gives:
% 70.06/10.18  | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | |   (1303)  all_6_16 = e3
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | COMBINE_EQS: (449), (1303) imply:
% 70.06/10.18  | | | | | | | | | |   (1304)  all_4_8 = e3
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | SIMP: (1304) implies:
% 70.06/10.18  | | | | | | | | | |   (1305)  all_4_8 = e3
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | COMBINE_EQS: (404), (1305) imply:
% 70.06/10.18  | | | | | | | | | |   (1306)  all_8_13 = e3
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | REDUCE: (106), (1305) imply:
% 70.06/10.18  | | | | | | | | | |   (1307)   ~ (all_4_3 = e3)
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | BETA: splitting (239) gives:
% 70.06/10.18  | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | |   (1308)  all_8_9 = e3
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | COMBINE_EQS: (378), (1308) imply:
% 70.06/10.18  | | | | | | | | | | |   (1309)  all_4_15 = e3
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | SIMP: (1309) implies:
% 70.06/10.18  | | | | | | | | | | |   (1310)  all_4_15 = e3
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | REDUCE: (122), (1310) imply:
% 70.06/10.18  | | | | | | | | | | |   (1311)   ~ (all_4_0 = e3)
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | REDUCE: (50), (1310) imply:
% 70.06/10.18  | | | | | | | | | | |   (1312)   ~ (all_4_19 = e3)
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | SIMP: (1312) implies:
% 70.06/10.18  | | | | | | | | | | |   (1313)   ~ (all_4_19 = e3)
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | BETA: splitting (292) gives:
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | |   (1314)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.06/10.18  | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.06/10.18  | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.06/10.18  | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.06/10.18  | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.06/10.18  | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.06/10.18  | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.06/10.18  | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.06/10.18  | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.06/10.18  | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.06/10.18  | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.06/10.18  | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.06/10.18  | | | | | | | | | | | |             (all_10_11 = e2))
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (332), (352), (370), (470),
% 70.06/10.18  | | | | | | | | | | | |            (1284), (1311), (1314) are inconsistent by
% 70.06/10.18  | | | | | | | | | | | |            sub-proof #121.
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | |   (1315)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.06/10.18  | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.06/10.18  | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.06/10.18  | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.06/10.18  | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.06/10.18  | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.06/10.18  | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.06/10.18  | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.06/10.18  | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.06/10.18  | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.06/10.18  | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.06/10.18  | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.06/10.18  | | | | | | | | | | | |             (all_10_23 = e0))
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | BETA: splitting (1315) gives:
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | |   (1316)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.06/10.18  | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.06/10.18  | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.06/10.18  | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.06/10.18  | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.06/10.18  | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.06/10.18  | | | | | | | | | | | | |               e2))
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (1316) are
% 70.06/10.18  | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | |   (1317)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.06/10.18  | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.06/10.18  | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.06/10.18  | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.06/10.18  | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.06/10.18  | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.06/10.18  | | | | | | | | | | | | |               e0))
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | BETA: splitting (1317) gives:
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | |   (1318)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.06/10.18  | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.06/10.18  | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (1318) are inconsistent
% 70.06/10.18  | | | | | | | | | | | | | |            by sub-proof #158.
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | |   (1319)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.06/10.18  | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.06/10.18  | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.06/10.18  | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | BETA: splitting (1319) gives:
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | |   (1320)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.06/10.18  | | | | | | | | | | | | | | |             e0)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | ALPHA: (1320) implies:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1321)  all_10_12 = e0
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (1321) are inconsistent by sub-proof
% 70.06/10.18  | | | | | | | | | | | | | | |            #159.
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | |   (1322)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.06/10.18  | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.06/10.18  | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | BETA: splitting (1322) gives:
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1323)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.06/10.18  | | | | | | | | | | | | | | | |             e1)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | ALPHA: (1323) implies:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1324)  all_10_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1324) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1325)  all_4_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | SIMP: (1325) implies:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1326)  all_4_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1326) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1327)  all_8_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | REDUCE: (39), (1326) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1328)   ~ (all_4_19 = e1)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | REDUCE: (29), (1326) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1329)   ~ (all_4_23 = e1)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (22), (43),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (121), (126), (127), (179), (198), (231), (234),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (244), (291), (297), (309), (311), (316), (325),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (332), (352), (379), (392), (394), (397), (399),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (400), (403), (407), (411), (423), (445), (463),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (478), (493), (495), (510), (513), (515), (517),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (591), (1261), (1263), (1272), (1273), (1283),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (1284), (1297), (1306), (1311), (1313), (1324),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (1327), (1328), (1329) are inconsistent by
% 70.06/10.18  | | | | | | | | | | | | | | | |            sub-proof #105.
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1330)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.06/10.18  | | | | | | | | | | | | | | | |             e0)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | ALPHA: (1330) implies:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1331)  all_10_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1332)   ~ (all_10_23 = e0)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1331) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1333)  all_4_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | SIMP: (1333) implies:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1334)  all_4_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1334) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1335)  all_8_24 = e1
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | REDUCE: (39), (1334) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1336)   ~ (all_4_19 = e1)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | REDUCE: (29), (1334) imply:
% 70.06/10.18  | | | | | | | | | | | | | | | |   (1337)   ~ (all_4_23 = e1)
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (22), (43),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (121), (126), (127), (179), (198), (231), (234),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (244), (291), (297), (309), (311), (316), (325),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (332), (352), (379), (392), (394), (397), (399),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (400), (403), (407), (411), (423), (445), (463),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (478), (493), (495), (510), (513), (515), (517),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (591), (1261), (1263), (1272), (1273), (1283),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (1284), (1297), (1306), (1311), (1313), (1331),
% 70.06/10.18  | | | | | | | | | | | | | | | |            (1335), (1336), (1337) are inconsistent by
% 70.06/10.18  | | | | | | | | | | | | | | | |            sub-proof #105.
% 70.06/10.18  | | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | End of split
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | End of split
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | End of split
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | End of split
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | End of split
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | |   (1338)  all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 70.06/10.18  | | | | | | | | | | |           all_8_23 = e3
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | BETA: splitting (1338) gives:
% 70.06/10.18  | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | |   (1339)  all_8_10 = e3
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | COMBINE_EQS: (1257), (1339) imply:
% 70.06/10.18  | | | | | | | | | | | |   (1340)  e3 = e2
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | REDUCE: (19), (1340) imply:
% 70.06/10.18  | | | | | | | | | | | |   (1341)  $false
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | CLOSE: (1341) is inconsistent.
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | |   (1342)  all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | BETA: splitting (1342) gives:
% 70.06/10.18  | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | |   (1343)  all_8_11 = e3
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | REF_CLOSE: (399), (507), (1343) are inconsistent by sub-proof
% 70.06/10.18  | | | | | | | | | | | | |            #266.
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | |   (1344)  all_8_15 = e3 | all_8_23 = e3
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | BETA: splitting (1344) gives:
% 70.06/10.18  | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | |   (1345)  all_8_15 = e3
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | COMBINE_EQS: (311), (1345) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1346)  e3 = e0
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | REDUCE: (18), (1346) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1347)  $false
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | CLOSE: (1347) is inconsistent.
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | Case 2:
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | |   (1348)  all_8_23 = e3
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | COMBINE_EQS: (419), (1348) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1349)  all_4_19 = e3
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | SIMP: (1349) implies:
% 70.06/10.18  | | | | | | | | | | | | | |   (1350)  all_4_19 = e3
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | COMBINE_EQS: (297), (1350) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1351)  all_10_23 = e3
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | REDUCE: (100), (1350) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1352)   ~ (all_4_4 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | REDUCE: (75), (1350) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1353)   ~ (all_4_9 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | REDUCE: (130), (1350) imply:
% 70.06/10.18  | | | | | | | | | | | | | |   (1354)  op(e0, e1) = e3
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | BETA: splitting (261) gives:
% 70.06/10.18  | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | Case 1:
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | |   (1355)  all_8_0 = e3
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1355) imply:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1356)  all_4_0 = e3
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | SIMP: (1356) implies:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1357)  all_4_0 = e3
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REDUCE: (127), (1357) imply:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1358)   ~ (all_4_2 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REDUCE: (126), (1357) imply:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1359)   ~ (all_4_3 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REDUCE: (125), (1357) imply:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1360)   ~ (all_4_4 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REDUCE: (124), (1357) imply:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1361)   ~ (all_4_5 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | SIMP: (1361) implies:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1362)   ~ (all_4_5 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REDUCE: (122), (1357) imply:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1363)   ~ (all_4_15 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | SIMP: (1363) implies:
% 70.06/10.18  | | | | | | | | | | | | | | |   (1364)   ~ (all_4_15 = e3)
% 70.06/10.18  | | | | | | | | | | | | | | | 
% 70.06/10.18  | | | | | | | | | | | | | | | REDUCE: (121), (1357) imply:
% 70.06/10.19  | | | | | | | | | | | | | | |   (1365)   ~ (all_4_20 = e3)
% 70.06/10.19  | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | SIMP: (1365) implies:
% 70.06/10.19  | | | | | | | | | | | | | | |   (1366)   ~ (all_4_20 = e3)
% 70.06/10.19  | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | REDUCE: (153), (1357) imply:
% 70.06/10.19  | | | | | | | | | | | | | | |   (1367)  op(e4, e4) = e3
% 70.06/10.19  | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | |   (1368)  all_6_3 = e3
% 70.06/10.19  | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1364), (1368) are inconsistent by
% 70.06/10.19  | | | | | | | | | | | | | | | |            sub-proof #104.
% 70.06/10.19  | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | |   (1369)   ~ (all_6_3 = e3)
% 70.06/10.19  | | | | | | | | | | | | | | | |   (1370)  all_6_3 = e4 | all_6_3 = e2 | all_6_3 = e1 |
% 70.06/10.19  | | | | | | | | | | | | | | | |           all_6_3 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | |   (1371)  all_6_11 = e3
% 70.06/10.19  | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | REF_CLOSE: (437), (488), (1371) are inconsistent by sub-proof
% 70.06/10.19  | | | | | | | | | | | | | | | | |            #143.
% 70.06/10.19  | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | |   (1372)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 |
% 70.06/10.19  | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | BETA: splitting (590) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | |   (1373)  all_8_20 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1373) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | |   (1374)  all_4_4 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | SIMP: (1374) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | |   (1375)  all_4_4 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | REDUCE: (1289), (1375) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | |   (1376)  $false
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | CLOSE: (1376) is inconsistent.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | |   (1377)   ~ (all_8_20 = e0)
% 70.06/10.19  | | | | | | | | | | | | | | | | | |   (1378)  all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | BETA: splitting (1378) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | |   (1379)  all_8_21 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1379) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | |   (1380)  all_4_9 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | SIMP: (1380) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | |   (1381)  all_4_9 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1381) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | |   (1382)   ~ (all_4_5 = e0)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1381) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | |   (1383)   ~ (all_4_7 = e0)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | |   (1384)  all_8_6 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1384) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | |   (1385)  all_4_2 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | REDUCE: (1286), (1385) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | |   (1386)  $false
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | CLOSE: (1386) is inconsistent.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | |   (1387)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | |           all_8_18 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1387) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | |   (1388)  all_8_7 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1388) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | |   (1389)  all_4_7 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1383), (1389) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | |   (1390)  $false
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1390) is inconsistent.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | |   (1391)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | |   (1392)  all_8_8 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (397), (1392) are inconsistent by sub-proof
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | |            #175.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | |   (1393)  all_8_11 = e0 | all_8_18 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1393) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1394)  all_8_11 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (1394) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1395)  all_4_17 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1396)  all_4_17 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (513), (1396) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1397)  $false
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1397) is inconsistent.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1398)  all_8_18 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1398) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1399)  all_4_22 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1399) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1400)  all_4_22 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1400) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | |   (1401)  op(e2, e0) = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | |   (1402)  all_6_1 = e3
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (1362), (1402) are inconsistent by
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #263.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | |   (1403)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (1404)  all_8_9 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1404) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (1405)  all_4_15 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1405) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (1406)  all_4_15 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1406) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (1407)   ~ (all_4_5 = e1)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (22), (82), (97), (109), (111), (190),
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (240), (291), (311), (328), (332), (335), (338),
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (352), (399), (425), (435), (437), (474), (476),
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (483), (507), (513), (1257), (1273), (1283),
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1348), (1372), (1382), (1383), (1403),
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |            (1404), (1407) are inconsistent by sub-proof #101.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |   (1408)  all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_23 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1408) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1409)  all_8_10 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1257), (1409) are inconsistent by sub-proof
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | |            #225.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1410)  all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1411)  all_6_3 = e2
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1259), (1411) are inconsistent by
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1412)  all_6_3 = e4 | all_6_3 = e1 | all_6_3 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1410) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1413)  all_8_11 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (1413) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1414)  all_4_17 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1414) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1415)  all_4_17 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (1415) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1416)   ~ (all_4_7 = e1)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1415) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1417)   ~ (all_4_15 = e1)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1415) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1418)  op(e2, e1) = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1419)  all_8_9 = e4
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1419) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1420)  all_4_15 = e4
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1421)  all_4_15 = e4
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (1421) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1422)  all_10_3 = e4
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1421) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1423)  op(e4, e1) = e4
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1424)  all_8_1 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (1424) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1425)  all_4_5 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1425) implies:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1426)  all_4_5 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1426) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1427)  all_10_1 = e1
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1426) imply:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1428)   ~ (all_4_7 = e1)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1429)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (352), (1273), (1283), (1429) are
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1430)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.06/10.19  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1430) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1431)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1431) implies:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1432)   ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1372) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1433)  all_6_11 = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (1433) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1434)  all_4_7 = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1434) implies:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1435)  all_4_7 = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1435) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1436)  all_10_11 = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1437)   ~ (all_10_11 = e2)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1436), (1437) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1438)  $false
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1438) is inconsistent.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1439)  all_10_12 = e3 &  ~ (unit = e2)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1439) implies:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1440)   ~ (unit = e2)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1441)  unit = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1440), (1441) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1442)  $false
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1442) is inconsistent.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1443)  unit = e4 | unit = e1 | unit = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1444)  unit = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1444) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1445)  op(e3, e1) = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1444) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1446)  op(e2, e1) = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1444) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1447)  op(e0, e1) = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1268), (1354), (1418), (1445), (1446),
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1447), (function-axioms) are inconsistent by
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #99.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1448)  unit = e4 | unit = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1448) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1449)  unit = e4
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1449) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1450)  op(e4, e1) = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1449) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1451)  op(e4, e4) = e4
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1449) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1452)  op(e3, e4) = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e4,
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (1294), (1452) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1453)  e3 = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e1, e1,
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (1423), (1450) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1454)  e4 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e4,
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (1367), (1451) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1455)  e4 = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1454), (1455) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1456)  e3 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1453), (1456) are inconsistent by sub-proof
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #98.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1457)  unit = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1457) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1458)  op(e2, e0) = e2
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1401), (1458), (function-axioms) are
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #247.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1459)  all_6_11 = e4 | all_6_11 = e1 | all_6_11 = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (437), (478), (1383), (1416), (1459) are
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #131.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1460)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1460) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1461)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1461) implies:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1462)   ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1422), (1427), (1462) are inconsistent by
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #221.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1463)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1273), (1283), (1463) are inconsistent by
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #106.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1464)   ~ (all_8_1 = e1)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1465)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (1464) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1466)   ~ (all_4_5 = e1)
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1465) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1467)  all_8_3 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (1467) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1468)  e4 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1468) implies:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1469)  e4 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1419), (1469) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1470)  all_8_9 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (22), (82), (97), (109), (111), (190),
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (240), (291), (311), (328), (332), (335), (338),
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (352), (399), (425), (435), (437), (474), (476),
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (483), (507), (513), (1257), (1273), (1283),
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1348), (1372), (1382), (1383), (1403),
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1466), (1470) are inconsistent by sub-proof #101.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1471)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1471) gives:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1472)  all_8_7 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1472) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1473)  all_4_7 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1473) implies:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  all_4_7 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1416), (1474) imply:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  $false
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1475) is inconsistent.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1476)  all_8_13 = e1 | all_8_21 = e1
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (493), (1306), (1379), (1476) are
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #241.
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.20  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1477)   ~ (all_8_9 = e4)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (441), (511), (1412), (1417), (1477) are
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #96.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1478)  all_8_15 = e1 | all_8_23 = e1
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (311), (493), (1348), (1478) are
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #213.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | End of split
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | |   (1479)   ~ (all_8_21 = e0)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | |   (1480)  all_8_22 = e0 | all_8_23 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | REDUCE: (415), (1479) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | |   (1481)   ~ (all_4_9 = e0)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | BETA: splitting (1480) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | |   (1482)  all_8_22 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1482) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | |   (1483)  all_4_14 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | SIMP: (1483) implies:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | |   (1484)  all_4_14 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (1484) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | |   (1485)  all_10_22 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | |   (1486)  all_6_21 = e3
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1486) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | |   (1487)  all_4_9 = e3
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1353), (1487) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | |   (1488)  $false
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1488) is inconsistent.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | |   (1489)  all_6_21 = e4 | all_6_21 = e2 | all_6_21 = e1 |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | |   (1490)  all_6_10 = e3
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (474), (1490) are inconsistent by sub-proof
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | |            #240.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | |   (1491)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | |   (1492)  all_6_1 = e3
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (1362), (1492) are inconsistent by
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #263.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | |   (1493)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_6_20 = e3
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (1352), (1494) are inconsistent by
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #261.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | |   (1495)   ~ (all_6_20 = e3)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  all_6_20 = e4 | all_6_20 = e2 | all_6_20 = e1 |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)  all_8_12 = e1
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1497) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)  all_4_3 = e1
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1498) implies:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)  all_4_3 = e1
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (1499) imply:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  all_10_15 = e1
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (352), (1273), (1283), (1501) are
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1502) gives:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.06/10.21  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1503) implies:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)   ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (259) gives:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  all_8_0 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1355), (1506) are inconsistent by sub-proof
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #256.
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  all_8_2 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1280), (1508) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  e2 = e0
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1509) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  $false
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1510) is inconsistent.
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1511) gives:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  all_8_6 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1512) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  all_4_2 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (1513) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)  all_10_10 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (332), (1505), (1514) are inconsistent by
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #102.
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  all_8_12 = e2 | all_8_20 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1515) gives:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)  all_8_12 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1497), (1516) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)  e2 = e1
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1517) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  $false
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1518) is inconsistent.
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1519)  all_8_20 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1519) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1520)  all_4_4 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1520) implies:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1521)  all_4_4 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (1521) imply:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1522)  all_10_20 = e2
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1485), (1504), (1522) are inconsistent by
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #95.
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1523)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1523) gives:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.23  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1524)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1524) implies:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1525)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (1500), (1525) are inconsistent by
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #234.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1526)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1273), (1283), (1526) are inconsistent by
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #106.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | |   (1527)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1528)  all_8_13 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1306), (1528) are inconsistent by
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #242.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1529)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1529) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1530)  all_8_14 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (495), (1530) are inconsistent by sub-proof
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #142.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1531)  all_8_15 = e1 | all_8_19 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1531) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1532)  all_8_15 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (1532) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)  e1 = e0
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1533) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  $false
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1534) is inconsistent.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  all_8_19 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (1535) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  all_4_23 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1536) implies:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  all_4_23 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (1537) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)   ~ (all_4_3 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1537) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)   ~ (all_4_20 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1537) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)   ~ (all_4_22 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1537) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)   ~ (all_4_24 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1541) implies:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)   ~ (all_4_24 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)  all_8_9 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1543) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  all_4_15 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1544) implies:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)  all_4_15 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1545) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)   ~ (all_4_17 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1546) implies:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)   ~ (all_4_17 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1545) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)   ~ (all_4_20 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1259), (1545) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)   ~ (e2 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (1545) imply:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)  op(e4, e1) = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  all_6_13 = e2
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (1261), (1551) are inconsistent by
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #255.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1552)   ~ (all_6_13 = e2)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1553)  all_6_13 = e4 | all_6_13 = e1 | all_6_13 = e0
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1553) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1554)  all_6_13 = e1
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (1547), (1554) are inconsistent by
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #94.
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1555)   ~ (all_6_13 = e1)
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1556)  all_6_13 = e4 | all_6_13 = e0
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1556) gives:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.27/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1557)  all_6_13 = e4
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1557) imply:
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1558)  all_4_17 = e4
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1558) implies:
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1559)  all_4_17 = e4
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1559) imply:
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1560)   ~ (all_4_2 = e4)
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.24  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1559) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1561)  op(e2, e1) = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1562)  all_6_14 = e3
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (509), (1562) are inconsistent by sub-proof
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1563)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 |
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1564)  all_8_12 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1564) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1565)  all_4_3 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1565) implies:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1566)  all_4_3 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1566) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1567)   ~ (all_4_2 = e2)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1566) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1568)   ~ (all_4_13 = e2)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1568) implies:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1569)   ~ (all_4_13 = e2)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1570)  all_8_4 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1570) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1571)  all_4_10 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1572)  all_6_10 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (1567), (1572) are inconsistent by
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #93.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1573)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1574)  all_8_0 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1355), (1574) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1575)  e4 = e3
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (1575) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1576)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1576) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1577)  all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 |
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1578)  all_8_1 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (476), (1578) are inconsistent by sub-proof
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #260.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1579)  all_8_4 = e4 | all_8_9 = e4 | all_8_16 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1579) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1580)  all_8_4 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1570), (1580) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1581)  e4 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1581) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1582)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1582) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1583)  all_8_9 = e4 | all_8_16 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1583) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1584)  all_8_9 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1543), (1584) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1585)  e4 = e1
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (1585) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1586)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1586) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1587)  all_8_16 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1573) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1588)  all_6_10 = e1
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1588) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1589)  all_4_2 = e1
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1589) implies:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1590)  all_4_2 = e1
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1590) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1591)   ~ (all_4_7 = e1)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1591) implies:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1592)   ~ (all_4_7 = e1)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1590) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1593)   ~ (all_4_22 = e1)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1590) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1594)  op(e2, e4) = e1
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (10), (15), (18), (20), (25),
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (139), (142), (400), (437), (478), (591),
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1268), (1272), (1302), (1354), (1372), (1535),
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1540), (1550), (1561), (1587), (1592), (1594),
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #90.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1595)  all_6_10 = e4 | all_6_10 = e0
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (1286), (1560), (1595) are inconsistent by
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #236.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1596)  all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 |
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1596) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1597)  all_8_5 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (1597) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1598)  e2 = e1
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1598) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1599) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)  all_6_17 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (1601) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)  all_4_13 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1569), (1602) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1603) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)   ~ (all_6_17 = e2)
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1600) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)  all_8_8 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (397), (1606) are inconsistent by sub-proof
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)  all_8_14 = e2 | all_8_22 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)  all_8_12 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1564), (1608) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  e4 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1609) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1610)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1610) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1611)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1612)  all_8_13 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1306), (1612) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1613)  e4 = e3
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (1613) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1614)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1614) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1615)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1615) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1616)  all_8_14 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1616) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1617)  all_4_13 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1617) implies:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1618)  all_4_13 = e4
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1607) gives:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1619)  all_8_14 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1616), (1619) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1620)  e4 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1620) implies:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1621)  e4 = e2
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1621) imply:
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1622)  $false
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1622) is inconsistent.
% 70.40/10.25  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1623)  all_8_22 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1482), (1623) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1624)  e2 = e0
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1624) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1625)  $false
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1625) is inconsistent.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1626)   ~ (all_8_14 = e4)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (1626) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1627)   ~ (all_4_13 = e4)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (495), (510), (1605), (1627) are
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  all_8_13 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1306), (1629) are inconsistent by sub-proof
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #89.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1630) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1631)  all_8_14 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1631) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1632)  all_4_13 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1632) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1633)  all_4_13 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1633) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1634)   ~ (all_4_3 = e2)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  all_8_12 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1635) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)  all_4_3 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1636) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)  all_4_3 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (1637) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)   ~ (all_4_4 = e4)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1638) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1639)   ~ (all_4_4 = e4)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1640)  all_8_20 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (412), (1639), (1640) are inconsistent by
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #88.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1641)  all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1641) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1642)  all_8_21 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (482), (1642) are inconsistent by sub-proof
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #87.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1643)  all_8_22 = e4 | all_8_23 = e4 | all_8_24 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1644)  all_8_22 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1482), (1644) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1645)  e4 = e0
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1645) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1646)  $false
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1646) is inconsistent.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1647)  all_8_23 = e4 | all_8_24 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1648)  all_8_23 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1348), (1648) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1649)  e4 = e3
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (1649) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1650)  $false
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1650) is inconsistent.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1651)  all_8_24 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1651) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1652)  all_4_24 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1652) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1653)  all_4_24 = e4
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (1653) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1654)   ~ (all_4_22 = e4)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1655)  all_6_4 = e3
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1655) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1656)  all_4_20 = e3
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1366), (1656) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1657)  $false
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1657) is inconsistent.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1658)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 |
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1659)  all_8_20 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1659) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1660)  all_4_4 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1660) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1661)  all_4_4 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (1661) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1662)  all_10_20 = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1661) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)   ~ (all_4_9 = e2)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1663) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)   ~ (all_4_9 = e2)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1661) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  op(e0, e4) = e2
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  all_8_20 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1659), (1666) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  e2 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1667) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)  $false
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1668) is inconsistent.
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1669) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  all_8_21 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1670) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  all_4_9 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1671) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)  all_4_9 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (1672) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  all_10_21 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1672) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)   ~ (all_4_5 = e1)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  all_8_6 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1675) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  all_4_2 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1676) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)  all_4_2 = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1677) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)   ~ (all_4_7 = e1)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1678) implies:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)   ~ (all_4_7 = e1)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1677) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)   ~ (all_4_22 = e1)
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1677) imply:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  op(e2, e4) = e1
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.26  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (352), (1273), (1283), (1682) are
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1684) implies:
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)   ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1485), (1662), (1685) are inconsistent by
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #95.
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.27  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1686) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1687) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)   ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1688) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)   ~ (all_10_21 = e1)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1673), (1689) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  $false
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1690) is inconsistent.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  all_10_23 = e3 &  ~ (unit = e1)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)   ~ (unit = e1)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1658) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  all_6_4 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1693) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  all_4_20 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1694) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  all_4_20 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1695) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  all_8_16 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (591) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  all_8_16 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1696), (1697) are inconsistent by sub-proof
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #116.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (10), (15), (18), (25), (81),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (139), (142), (400), (437), (478), (1268), (1272),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1302), (1354), (1372), (1535), (1540), (1550),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1561), (1679), (1681), (1698), (function-axioms)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #91.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1699) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  all_6_4 = e1
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1539), (1700) are inconsistent by
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #217.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  all_6_4 = e4 | all_6_4 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  all_6_4 = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1702) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  all_4_20 = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1703) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)  all_4_20 = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1704) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_8_16 = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (10), (15), (18), (20), (25),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (81), (139), (142), (400), (437), (478), (591),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1268), (1272), (1302), (1354), (1372), (1535),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1540), (1550), (1561), (1679), (1681), (1705),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #90.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  all_6_4 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1706) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  all_4_20 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1707) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)  all_4_20 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1708) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)   ~ (all_4_5 = e0)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1708) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)   ~ (all_4_22 = e0)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1710) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)   ~ (all_4_22 = e0)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1708) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)  op(e4, e0) = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1493) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)  all_6_1 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1713) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)  all_4_5 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1714) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)  all_4_5 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1715) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)   ~ (all_4_7 = e2)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1716) implies:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)   ~ (all_4_7 = e2)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1563) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)  all_6_14 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1718) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  all_4_22 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1719) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  op(e2, e0) = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1302) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)  unit = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1721) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  op(e2, e0) = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1720), (1722), (function-axioms) are
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #247.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)   ~ (unit = e2)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  unit = e4 | unit = e1 | unit = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1724) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  unit = e1
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1692), (1725) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)  $false
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1726) is inconsistent.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)  unit = e4 | unit = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1727) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  unit = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (17), (1681), (1728), (function-axioms) are
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #246.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  unit = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1729) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)  op(e0, e4) = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1729) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  op(e4, e0) = e4
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4,
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (1665), (1730) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  e4 = e2
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e0,
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (1712), (1731) gives:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)  e4 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1732), (1733) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  e2 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1734) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  $false
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)   ~ (all_6_14 = e2)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (1736) imply:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)   ~ (all_4_22 = e2)
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (437), (456), (478), (1372), (1540), (1563),
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1654), (1679), (1717), (1737) are inconsistent by
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (476), (1674), (1709), (1738) are
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #227.
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.28  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1273), (1283), (1739) are inconsistent by
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #106.
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)   ~ (all_8_6 = e1)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (1740) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)   ~ (all_4_2 = e1)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (21), (81),
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (108), (111), (251), (253), (374), (384), (394),
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (415), (435), (437), (456), (478), (1286), (1306),
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1372), (1481), (1491), (1540), (1560), (1563),
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1654), (1664), (1741), (1742) are inconsistent by
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #83.
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  all_8_22 = e1 | all_8_23 = e1 | all_8_24 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (483), (493), (1348), (1482), (1651), (1743)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #82.
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)   ~ (all_8_20 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (1744) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)   ~ (all_4_4 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1496) gives:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)  all_6_20 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (1747) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  all_4_4 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1746), (1748) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  $false
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1749) is inconsistent.
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)   ~ (all_6_20 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)  all_6_20 = e4 | all_6_20 = e1 | all_6_20 = e0
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1745) gives:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  all_8_21 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1752) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)  all_4_9 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1753) implies:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)  all_4_9 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (1754) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)  all_10_21 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  all_8_20 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (1756) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  all_4_4 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (306), (1757) imply:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  all_10_20 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (352), (1273), (1283), (1759) are
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1760) gives:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1761) implies:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1485), (1755), (1762) are inconsistent by
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #81.
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.29  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1764) implies:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1765)   ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1351), (1758), (1765) are inconsistent by
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #239.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1766)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1273), (1283), (1766) are inconsistent by
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #106.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1767)  all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1768)  all_8_21 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1752), (1768) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1769)  e2 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1769) implies:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1770)  e2 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1770) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1771)  $false
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1771) is inconsistent.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1772)  all_8_22 = e1 | all_8_23 = e1 | all_8_24 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (483), (493), (1348), (1482), (1651), (1772)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #82.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1773)   ~ (all_8_21 = e2)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (415), (1773) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1774)   ~ (all_4_9 = e2)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (19), (20), (21), (81), (108), (111),
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (242), (251), (253), (374), (384), (392),
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (415), (435), (437), (456), (458), (478),
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1286), (1289), (1306), (1372), (1481), (1491),
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1540), (1560), (1563), (1639), (1654), (1746),
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1751), (1774) are inconsistent by sub-proof #79.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1775)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (311), (483), (1306), (1535),
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1631), (1775) are inconsistent by sub-proof #164.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1776)  all_8_15 = e2 | all_8_19 = e2
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1776) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1777)  all_8_15 = e2
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (1777) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1778)  e2 = e0
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1778) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1779)  $false
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1779) is inconsistent.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1780)  all_8_19 = e2
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1535), (1780) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1781)  e2 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1781) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1782)  $false
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1782) is inconsistent.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1783)  all_6_13 = e0
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (513), (1783) are inconsistent by sub-proof
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #233.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1784)   ~ (all_8_9 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (1784) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1785)   ~ (all_4_15 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1786)  all_8_0 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1355), (1786) are inconsistent by
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #137.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1787)  all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1370) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1788)  all_6_3 = e2
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1259), (1788) are inconsistent by
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1789)  all_6_3 = e4 | all_6_3 = e1 | all_6_3 = e0
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1787) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1790)  all_8_1 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (1790) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1791)  all_4_5 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1791) implies:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1792)  all_4_5 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1792) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1793)  all_10_1 = e1
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1792) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1794)   ~ (all_4_9 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1795)   ~ (all_4_9 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1792) imply:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1796)   ~ (all_4_15 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1797)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (352), (1273), (1283), (1797) are
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #117.
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1798)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.30  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1799)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (303), (460), (482), (1481), (1485), (1489),
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1795), (1799) are inconsistent by sub-proof #78.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1800)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1801)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1801) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1802)   ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1803)  all_8_9 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1803) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1804)  all_4_15 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1804) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1805)  all_4_15 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (1805) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1806)  all_10_3 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1793), (1802), (1806) are inconsistent by
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #221.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1807)   ~ (all_8_9 = e4)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (441), (511), (1785), (1789), (1807) are
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #96.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (1273), (1283), (1808) are inconsistent by
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #106.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1809)  all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1809) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1810)  all_8_4 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (490), (1810) are inconsistent by sub-proof
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1811)  all_8_9 = e1 | all_8_16 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1812)  all_8_9 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1812) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  all_4_15 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1813) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)  all_4_15 = e4
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (379), (483), (1539), (1811), (1812) are
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #75.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)   ~ (all_8_9 = e4)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (441), (511), (1785), (1789), (1815) are
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #96.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1816)  all_8_23 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1348), (1816) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1817)  e3 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | SIMP: (1817) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1818)  e3 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1818) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1819)  $false
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | CLOSE: (1819) is inconsistent.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | End of split
% 70.40/10.31  | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | |   (1820)   ~ (all_8_0 = e3)
% 70.40/10.31  | | | | | | | | | | | | | | |   (1821)  all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 70.40/10.31  | | | | | | | | | | | | | | |           all_8_20 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | REDUCE: (372), (1820) imply:
% 70.40/10.31  | | | | | | | | | | | | | | |   (1822)   ~ (all_4_0 = e3)
% 70.40/10.31  | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | |   (1823)  all_8_2 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | COMBINE_EQS: (1280), (1823) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | |   (1824)  e3 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | REDUCE: (18), (1824) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | |   (1825)  $false
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | CLOSE: (1825) is inconsistent.
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | |   (1826)   ~ (all_8_2 = e3)
% 70.40/10.31  | | | | | | | | | | | | | | | |   (1827)  all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | |   (1828)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.40/10.31  | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.40/10.31  | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.40/10.31  | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.40/10.31  | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (332), (352), (370), (470),
% 70.40/10.31  | | | | | | | | | | | | | | | | |            (1284), (1822), (1828) are inconsistent by
% 70.40/10.31  | | | | | | | | | | | | | | | | |            sub-proof #121.
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | |   (1829)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.40/10.31  | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.40/10.31  | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.40/10.31  | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.40/10.31  | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.40/10.31  | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.31  | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | BETA: splitting (1829) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | |   (1830)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.40/10.31  | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | |               e2))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (1830) are
% 70.40/10.31  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | |   (1831)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.40/10.31  | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.40/10.31  | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.40/10.31  | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | |               e0))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | BETA: splitting (1831) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |   (1832)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (1832) are inconsistent
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |   (1833)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.40/10.31  | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1834)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |             e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | ALPHA: (1834) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1835)  all_10_12 = e0
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (1835) are inconsistent by sub-proof
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |            #159.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |   (1836)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1837)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1837) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1838)  all_10_24 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1838) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1839)  all_4_24 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | SIMP: (1839) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1840)  all_4_24 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1840) imply:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1841)   ~ (all_4_23 = e1)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (234), (311), (392), (403), (407), (411),
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |            (412), (474), (493), (495), (1306), (1307),
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |            (1352), (1827), (1841) are inconsistent by
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1842)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | ALPHA: (1842) implies:
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | |   (1843)  all_10_24 = e1
% 70.40/10.31  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1843) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | |   (1844)  all_4_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | SIMP: (1844) implies:
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | |   (1845)  all_4_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1845) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | |   (1846)   ~ (all_4_23 = e1)
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (234), (311), (392), (403), (407), (411),
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | |            (412), (474), (493), (495), (1306), (1307),
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | |            (1352), (1827), (1846) are inconsistent by
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | |   (1847)   ~ (all_6_16 = e3)
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | REDUCE: (449), (1847) imply:
% 70.40/10.32  | | | | | | | | | |   (1848)   ~ (all_4_8 = e3)
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | BETA: splitting (236) gives:
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | |   (1849)  all_8_12 = e3
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | COMBINE_EQS: (403), (1849) imply:
% 70.40/10.32  | | | | | | | | | | |   (1850)  all_4_3 = e3
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | SIMP: (1850) implies:
% 70.40/10.32  | | | | | | | | | | |   (1851)  all_4_3 = e3
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | COMBINE_EQS: (322), (1851) imply:
% 70.40/10.32  | | | | | | | | | | |   (1852)  all_10_15 = e3
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | REDUCE: (126), (1851) imply:
% 70.40/10.32  | | | | | | | | | | |   (1853)   ~ (all_4_0 = e3)
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | REDUCE: (138), (1851) imply:
% 70.40/10.32  | | | | | | | | | | |   (1854)  op(e1, e4) = e3
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | BETA: splitting (292) gives:
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | |   (1855)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.40/10.32  | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.40/10.32  | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.40/10.32  | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.40/10.32  | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.40/10.32  | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.40/10.32  | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.40/10.32  | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.40/10.32  | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.40/10.32  | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.40/10.32  | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.40/10.32  | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.40/10.32  | | | | | | | | | | | |             (all_10_11 = e2))
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (332), (352), (370), (470),
% 70.40/10.32  | | | | | | | | | | | |            (1284), (1853), (1855) are inconsistent by
% 70.40/10.32  | | | | | | | | | | | |            sub-proof #121.
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | |   (1856)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.40/10.32  | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.40/10.32  | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.40/10.32  | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.40/10.32  | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.40/10.32  | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.40/10.32  | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.40/10.32  | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.40/10.32  | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.40/10.32  | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.40/10.32  | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.32  | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.32  | | | | | | | | | | | |             (all_10_23 = e0))
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | BETA: splitting (1856) gives:
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | |   (1857)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.40/10.32  | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.40/10.32  | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.40/10.32  | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.40/10.32  | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.40/10.32  | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.40/10.32  | | | | | | | | | | | | |               e2))
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (1857) are
% 70.40/10.32  | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | |   (1858)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.40/10.32  | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.40/10.32  | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.40/10.32  | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.40/10.32  | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.40/10.32  | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.40/10.32  | | | | | | | | | | | | |               e0))
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | BETA: splitting (1858) gives:
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | |   (1859)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.40/10.32  | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.40/10.32  | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (1859) are inconsistent
% 70.40/10.32  | | | | | | | | | | | | | |            by sub-proof #158.
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | |   (1860)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.40/10.32  | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.32  | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.40/10.32  | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | BETA: splitting (1860) gives:
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | |   (1861)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.40/10.32  | | | | | | | | | | | | | | |             e0)
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | ALPHA: (1861) implies:
% 70.40/10.32  | | | | | | | | | | | | | | |   (1862)  all_10_12 = e0
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (1862) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | | | | | | | | |            #159.
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | |   (1863)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.32  | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.32  | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | BETA: splitting (1863) gives:
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1864)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.32  | | | | | | | | | | | | | | | |             e1)
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | ALPHA: (1864) implies:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1865)  all_10_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1865) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1866)  all_4_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | SIMP: (1866) implies:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1867)  all_4_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1867) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1868)  all_8_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | REDUCE: (29), (1867) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1869)   ~ (all_4_23 = e1)
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (9), (10), (11), (15), (16),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (17), (18), (21), (22), (36), (77), (81), (85),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (108), (111), (121), (123), (127), (134), (137),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (139), (143), (149), (151), (153), (183), (190),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (198), (231), (234), (241), (242), (244), (253),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (258), (291), (297), (300), (303), (309), (311),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (316), (319), (352), (358), (364), (367), (372),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (374), (379), (384), (392), (394), (397), (399),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (400), (404), (407), (411), (415), (423), (435),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (457), (474), (480), (488), (491), (493), (495),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (505), (510), (513), (515), (517), (1272), (1273),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (1276), (1283), (1286), (1302), (1849), (1852),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (1853), (1854), (1865), (1868), (1869),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | | | | | | | | | |            #68.
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1870)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.40/10.32  | | | | | | | | | | | | | | | |             e0)
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | ALPHA: (1870) implies:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1871)  all_10_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1872)   ~ (all_10_23 = e0)
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (1871) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1873)  all_4_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | SIMP: (1873) implies:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1874)  all_4_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1874) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1875)  all_8_24 = e1
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | REDUCE: (29), (1874) imply:
% 70.40/10.32  | | | | | | | | | | | | | | | |   (1876)   ~ (all_4_23 = e1)
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (9), (10), (11), (15), (16),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (17), (18), (21), (22), (36), (77), (81), (85),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (108), (111), (121), (123), (127), (134), (137),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (139), (143), (149), (151), (153), (183), (190),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (198), (231), (234), (241), (242), (244), (253),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (258), (291), (297), (300), (303), (309), (311),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (316), (319), (352), (358), (364), (367), (372),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (374), (379), (384), (392), (394), (397), (399),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (400), (404), (407), (411), (415), (423), (435),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (457), (474), (480), (488), (491), (493), (495),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (505), (510), (513), (515), (517), (1272), (1273),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (1276), (1283), (1286), (1302), (1849), (1852),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (1853), (1854), (1871), (1875), (1876),
% 70.40/10.32  | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | | | | | | | | | |            #68.
% 70.40/10.32  | | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | |   (1877)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 70.40/10.32  | | | | | | | | | | |           all_8_19 = e3
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | BETA: splitting (1877) gives:
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | |   (1878)  all_8_13 = e3
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | REF_CLOSE: (404), (1848), (1878) are inconsistent by
% 70.40/10.32  | | | | | | | | | | | |            sub-proof #119.
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | |   (1879)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | | REF_CLOSE: (18), (311), (407), (411), (503), (1276), (1879)
% 70.40/10.32  | | | | | | | | | | | |            are inconsistent by sub-proof #211.
% 70.40/10.32  | | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | End of split
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | Case 2:
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | |   (1880)  all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 70.40/10.32  | | | | | | |           e0
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | BETA: splitting (1880) gives:
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | |   (1881)  all_8_3 = e0
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | | REF_CLOSE: (20), (384), (1881) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | |            #276.
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | |   (1882)  all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | | BETA: splitting (1882) gives:
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | |   (1883)  all_8_5 = e0
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | REF_CLOSE: (15), (469), (1883) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | | |            #271.
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | |   (1884)  all_8_10 = e0 | all_8_17 = e0
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | BETA: splitting (1884) gives:
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | |   (1885)  all_8_10 = e0
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | REF_CLOSE: (16), (1257), (1885) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | | | |            #67.
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | Case 2:
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | |   (1886)  all_8_17 = e0
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | | REF_CLOSE: (18), (1272), (1886) are inconsistent by sub-proof
% 70.40/10.32  | | | | | | | | | |            #115.
% 70.40/10.32  | | | | | | | | | | 
% 70.40/10.32  | | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | | 
% 70.40/10.32  | | | | | | | | End of split
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | End of split
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | End of split
% 70.40/10.32  | | | | | | 
% 70.40/10.32  | | | | | Case 2:
% 70.40/10.32  | | | | | | 
% 70.40/10.32  | | | | | |   (1887)   ~ (all_6_9 = e3)
% 70.40/10.32  | | | | | |   (1888)  all_6_9 = e4 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0
% 70.40/10.32  | | | | | | 
% 70.40/10.32  | | | | | | REDUCE: (455), (1887) imply:
% 70.40/10.32  | | | | | |   (1889)   ~ (all_4_21 = e3)
% 70.40/10.32  | | | | | | 
% 70.40/10.32  | | | | | | BETA: splitting (250) gives:
% 70.40/10.32  | | | | | | 
% 70.40/10.32  | | | | | | Case 1:
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | |   (1890)  all_8_2 = e3
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | COMBINE_EQS: (382), (1890) imply:
% 70.40/10.32  | | | | | | |   (1891)  all_4_1 = e3
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | SIMP: (1891) implies:
% 70.40/10.32  | | | | | | |   (1892)  all_4_1 = e3
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | COMBINE_EQS: (355), (1892) imply:
% 70.40/10.32  | | | | | | |   (1893)  all_10_5 = e3
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | REDUCE: (128), (1892) imply:
% 70.40/10.32  | | | | | | |   (1894)   ~ (all_4_0 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | REDUCE: (120), (1892) imply:
% 70.40/10.32  | | | | | | |   (1895)   ~ (all_4_2 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | REDUCE: (119), (1892) imply:
% 70.40/10.32  | | | | | | |   (1896)   ~ (all_4_3 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | SIMP: (1896) implies:
% 70.40/10.32  | | | | | | |   (1897)   ~ (all_4_3 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | REDUCE: (118), (1892) imply:
% 70.40/10.32  | | | | | | |   (1898)   ~ (all_4_4 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | SIMP: (1898) implies:
% 70.40/10.32  | | | | | | |   (1899)   ~ (all_4_4 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | REDUCE: (114), (1892) imply:
% 70.40/10.32  | | | | | | |   (1900)   ~ (all_4_21 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | REDUCE: (472), (1892) imply:
% 70.40/10.32  | | | | | | |   (1901)   ~ (e4 = e3)
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | BETA: splitting (248) gives:
% 70.40/10.32  | | | | | | | 
% 70.40/10.32  | | | | | | | Case 1:
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | |   (1902)  all_8_2 = e0
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | | COMBINE_EQS: (1890), (1902) imply:
% 70.40/10.32  | | | | | | | |   (1903)  e3 = e0
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | | SIMP: (1903) implies:
% 70.40/10.32  | | | | | | | |   (1904)  e3 = e0
% 70.40/10.32  | | | | | | | | 
% 70.40/10.32  | | | | | | | | REDUCE: (18), (1904) imply:
% 70.40/10.33  | | | | | | | |   (1905)  $false
% 70.40/10.33  | | | | | | | | 
% 70.40/10.33  | | | | | | | | CLOSE: (1905) is inconsistent.
% 70.40/10.33  | | | | | | | | 
% 70.40/10.33  | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | 
% 70.40/10.33  | | | | | | | |   (1906)  all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17
% 70.40/10.33  | | | | | | | |           = e0
% 70.40/10.33  | | | | | | | | 
% 70.40/10.33  | | | | | | | | BETA: splitting (1906) gives:
% 70.40/10.33  | | | | | | | | 
% 70.40/10.33  | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | 
% 70.40/10.33  | | | | | | | | |   (1907)  all_8_3 = e0
% 70.40/10.33  | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | REF_CLOSE: (20), (384), (1907) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | |            #276.
% 70.40/10.33  | | | | | | | | | 
% 70.40/10.33  | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | 
% 70.40/10.33  | | | | | | | | |   (1908)  all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 70.40/10.33  | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | BETA: splitting (1908) gives:
% 70.40/10.33  | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | |   (1909)  all_8_5 = e0
% 70.40/10.33  | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | REF_CLOSE: (15), (469), (1909) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | | |            #271.
% 70.40/10.33  | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | |   (1910)  all_8_10 = e0 | all_8_17 = e0
% 70.40/10.33  | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | BETA: splitting (1910) gives:
% 70.40/10.33  | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | |   (1911)  all_8_10 = e0
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REF_CLOSE: (16), (1257), (1911) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | | | |            #67.
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | |   (1912)  all_8_17 = e0
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | COMBINE_EQS: (391), (1912) imply:
% 70.40/10.33  | | | | | | | | | | |   (1913)  all_4_21 = e0
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | SIMP: (1913) implies:
% 70.40/10.33  | | | | | | | | | | |   (1914)  all_4_21 = e0
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (38), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1915)   ~ (all_4_20 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (34), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1916)   ~ (all_4_22 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | SIMP: (1916) implies:
% 70.40/10.33  | | | | | | | | | | |   (1917)   ~ (all_4_22 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (32), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1918)   ~ (all_4_24 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (487), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1919)   ~ (e4 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (1889), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1920)   ~ (e3 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (1265), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1921)   ~ (e2 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (501), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1922)   ~ (e1 = e0)
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | REDUCE: (144), (1914) imply:
% 70.40/10.33  | | | | | | | | | | |   (1923)  op(e3, e0) = e0
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | BETA: splitting (188) gives:
% 70.40/10.33  | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | |   (1924)  all_6_13 = e3
% 70.40/10.33  | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | REF_CLOSE: (445), (507), (1924) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | | | | |            #264.
% 70.40/10.33  | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | |   (1925)   ~ (all_6_13 = e3)
% 70.40/10.33  | | | | | | | | | | | |   (1926)  all_6_13 = e4 | all_6_13 = e2 | all_6_13 = e1 |
% 70.40/10.33  | | | | | | | | | | | |           all_6_13 = e0
% 70.40/10.33  | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | BETA: splitting (12) gives:
% 70.40/10.33  | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | |   (1927)  unit = e3
% 70.40/10.33  | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | REF_CLOSE: (9), (17), (25), (1927), (function-axioms) are
% 70.40/10.33  | | | | | | | | | | | | |            inconsistent by sub-proof #262.
% 70.40/10.33  | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | |   (1928)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 70.40/10.33  | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | BETA: splitting (179) gives:
% 70.40/10.33  | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | |   (1929)  all_6_23 = e3
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | COMBINE_EQS: (463), (1929) imply:
% 70.40/10.33  | | | | | | | | | | | | | |   (1930)  all_4_19 = e3
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | SIMP: (1930) implies:
% 70.40/10.33  | | | | | | | | | | | | | |   (1931)  all_4_19 = e3
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | COMBINE_EQS: (419), (1931) imply:
% 70.40/10.33  | | | | | | | | | | | | | |   (1932)  all_8_23 = e3
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | COMBINE_EQS: (297), (1931) imply:
% 70.40/10.33  | | | | | | | | | | | | | |   (1933)  all_10_23 = e3
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | REDUCE: (50), (1931) imply:
% 70.40/10.33  | | | | | | | | | | | | | |   (1934)   ~ (all_4_15 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | REDUCE: (130), (1931) imply:
% 70.40/10.33  | | | | | | | | | | | | | |   (1935)  op(e0, e1) = e3
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 70.40/10.33  | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | |   (1936)  all_6_3 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | REF_CLOSE: (441), (1934), (1936) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | |            sub-proof #104.
% 70.40/10.33  | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | |   (1937)   ~ (all_6_3 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | |   (1938)  all_6_3 = e4 | all_6_3 = e2 | all_6_3 = e1 |
% 70.40/10.33  | | | | | | | | | | | | | | |           all_6_3 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | |   (1939)  all_6_16 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1939) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | |   (1940)  all_4_8 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (1940) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | |   (1941)  all_8_13 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | REDUCE: (96), (1940) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | |   (1942)   ~ (all_4_5 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | REDUCE: (80), (1940) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | |   (1943)   ~ (all_4_9 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | SIMP: (1943) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | |   (1944)   ~ (all_4_9 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | |   (1945)  all_8_0 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (1894), (1945) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | | | |            sub-proof #152.
% 70.40/10.33  | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | |   (1946)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 70.40/10.33  | | | | | | | | | | | | | | | | |           all_8_16 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | |   (1947)  all_8_1 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (1942), (1947) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | | | | |            sub-proof #151.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | |   (1948)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | |   (1949)  all_8_4 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (491), (1949) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | | | | | | | | | | | |            #150.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | |   (1950)  all_8_9 = e3 | all_8_16 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | BETA: splitting (1950) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1951)  all_8_9 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (1934), (1951) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |            sub-proof #267.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1952)  all_8_16 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1952) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1953)  all_4_20 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | SIMP: (1953) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1954)  all_4_20 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1954) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1955)   ~ (all_4_24 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | SIMP: (1955) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1956)   ~ (all_4_24 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1954) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | |   (1957)  op(e4, e0) = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | |   (1958)  all_6_14 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (509), (1958) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | |            #248.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | |   (1959)   ~ (all_6_14 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | |   (1960)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | |   (1961)  all_6_21 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1961) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | |   (1962)  all_4_9 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1944), (1962) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | |   (1963)  $false
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1963) is inconsistent.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | |   (1964)  all_6_21 = e4 | all_6_21 = e2 | all_6_21 = e1 |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1965)  all_8_9 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1965) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1966)  all_4_15 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1966) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1967)  all_4_15 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (1967) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1968)   ~ (all_4_0 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1967) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1969)   ~ (all_4_5 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1967) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1970)   ~ (all_4_17 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1970) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1971)   ~ (all_4_17 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1259), (1967) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | |   (1972)   ~ (e2 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1973)  all_6_13 = e2
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (1261), (1973) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #255.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1974)   ~ (all_6_13 = e2)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | |   (1975)  all_6_13 = e4 | all_6_13 = e1 | all_6_13 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1975) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1976)  all_6_13 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (1971), (1976) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #94.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1977)   ~ (all_6_13 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (1978)  all_6_13 = e4 | all_6_13 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1979)  all_6_13 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1979) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1980)  all_4_17 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1980) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1981)  all_4_17 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (1981) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1982)  all_10_13 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1981) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1983)   ~ (all_4_2 = e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)  all_6_1 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (1942), (1984) are inconsistent by
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #263.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_8_1 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (1986) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)  all_4_5 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1969), (1987) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  $false
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1988) is inconsistent.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)   ~ (all_8_1 = e1)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1990)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1991)  all_6_10 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (474), (1991) are inconsistent by sub-proof
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #240.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1992)   ~ (all_6_10 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1993)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (264) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1994)  all_8_0 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1994) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1995)  all_4_0 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1995) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1996)  all_10_0 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1995) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1997)   ~ (all_4_3 = e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1997) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1998)   ~ (all_4_3 = e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1995) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1999)   ~ (all_4_4 = e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1999) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2000)   ~ (all_4_4 = e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2001)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2001) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2002)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2003)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3))
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2003) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2004)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2004) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2005)  all_10_0 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (2005) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2006)  e4 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2006) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2007)  $false
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2007) is inconsistent.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2008)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2008) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2009)  all_10_0 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (2009) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2010)  e4 = e3
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2010) imply:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2011)  $false
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2011) is inconsistent.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2012)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_3 = e4))
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2012) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2013)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2013) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2014)  all_10_12 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2015)  all_10_0 = e2
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (332), (1996), (2014), (2015) are
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2016)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4))
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2016) gives:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2017)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2017) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2018)  all_10_12 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2019)  all_10_0 = e2
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (332), (1996), (2018), (2019) are
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2020)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2020) implies:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2021)  all_10_18 = e4
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2022)  all_10_0 = e1
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (470), (1996), (2021), (2022) are
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #65.
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2023)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.40/10.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2024)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2024) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2025)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2025) implies:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2026)  all_10_18 = e4
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2027)  all_10_0 = e1
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (470), (1996), (2026), (2027) are
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #65.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2028)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2028) implies:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2029)  all_10_0 = e0
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (2029) imply:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2030)  e4 = e0
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2030) imply:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2031)  $false
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2031) is inconsistent.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2032)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2032) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2033)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2033) implies:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2034)  all_10_0 = e0
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1996), (2034) imply:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2035)  e4 = e0
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2035) imply:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2036)  $false
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2036) is inconsistent.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2037)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (2037) are inconsistent by sub-proof
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #197.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2038)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (2039) are
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2040)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (2041) are inconsistent
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2042) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2043) implies:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  all_10_12 = e0
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (2044) are inconsistent by sub-proof
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2045) gives:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2046)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2046) implies:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)  all_10_24 = e1
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (21), (22), (29), (58), (70), (71),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (74), (105), (113), (196), (229), (234), (237),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (253), (291), (294), (297), (300), (303),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (311), (338), (364), (367), (374), (375),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (403), (407), (411), (412), (415), (416),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (421), (431), (450), (470), (482), (483), (490),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (491), (495), (505), (510), (515), (597), (1897),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1932), (1933), (1941), (1956), (1982), (1990),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1998), (2000), (2047) are inconsistent by
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #62.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2048) implies:
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)  all_10_24 = e1
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (21), (22), (29), (58), (70), (71),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (74), (105), (113), (196), (229), (234), (237),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (245), (253), (291), (294), (297), (300), (303),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (311), (338), (364), (367), (374), (375),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (403), (407), (411), (412), (415), (416),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (421), (431), (450), (470), (482), (483), (490),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (491), (495), (505), (510), (515), (597), (1897),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1932), (1933), (1941), (1956), (1982), (1990),
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1998), (2000), (2049) are inconsistent by
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #62.
% 70.40/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)  all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 |
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2050) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)  all_8_1 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2051) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_4_5 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (2052) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2053) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)  all_8_4 = e4 | all_8_9 = e4 | all_8_16 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2054) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)  all_8_4 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2055) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  all_4_10 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2056) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)   ~ (all_4_0 = e4)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2056) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)   ~ (all_4_13 = e4)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2058) implies:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)   ~ (all_4_13 = e4)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (2056) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)   ~ (all_4_14 = e4)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2060) implies:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)   ~ (all_4_14 = e4)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  all_6_17 = e2
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2062) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)  all_4_13 = e2
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2063) implies:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_4_13 = e2
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2064) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)  all_8_14 = e2
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (2064) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)   ~ (all_4_14 = e2)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2066) implies:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)   ~ (all_4_14 = e2)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  all_6_22 = e3
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (2068) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  all_4_14 = e3
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (2069) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2070) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)   ~ (all_6_22 = e3)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)  all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 |
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2072) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)  all_6_22 = e2
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (2073) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)  all_4_14 = e2
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2067), (2074) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2075)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2075) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2076)   ~ (all_6_22 = e2)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2077)  all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2077) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2078)  all_6_22 = e1
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (2078) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2079)  all_4_14 = e1
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (2079) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2080)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2080) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2081)   ~ (all_6_22 = e1)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2082)  all_6_22 = e4 | all_6_22 = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2083)  all_6_22 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (2083) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2084)  all_4_14 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2061), (2084) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2085)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2086)  all_6_22 = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (2086) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2087)  all_4_14 = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (2087) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2088)  all_10_22 = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (2087) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2089)   ~ (all_4_4 = e0)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (2087) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2090)   ~ (all_4_9 = e0)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (2087) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2091)  op(e0, e2) = e0
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2092)  all_8_12 = e1
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2092) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2093)  all_4_3 = e1
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2093) implies:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2094)  all_4_3 = e1
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2094) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2095)   ~ (all_4_2 = e1)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2096)  all_8_0 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2096) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2097)  all_4_0 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2057), (2097) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2098)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2098) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2099)  all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 |
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2099) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2100)  all_8_2 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1890), (2100) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2101)  e4 = e3
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2101) implies:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2102)  e4 = e3
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2102) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2103)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2103) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2104)  all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2105)  all_8_12 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2092), (2105) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2106)  e4 = e1
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2106) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2107)  $false
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2107) is inconsistent.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2108)   ~ (all_8_12 = e4)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2109)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2092), (2108) imply:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2110)   ~ (e4 = e1)
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2111)  all_8_6 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (1983), (2111) are inconsistent by
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #61.
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2112)  all_8_12 = e4 | all_8_20 = e4
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2113)  all_8_12 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2092), (2113) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2114)  e4 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2114) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2115)  $false
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2115) is inconsistent.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2116)  all_8_20 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (2116) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2117)  all_4_4 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2117) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2118)  all_4_4 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2118) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2119)   ~ (all_4_24 = e4)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2119) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2120)   ~ (all_4_24 = e4)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2121)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2121) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2122)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (332), (370), (470), (1894), (2122)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #58.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2123)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2123) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2124)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2124) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2125)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2126)  all_10_18 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2126) are inconsistent by sub-proof
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #59.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2127)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2127) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2128)  all_10_24 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2128) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2129)  all_4_24 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2120), (2129) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2130)  $false
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2130) is inconsistent.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2131)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2132)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2132) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2133)  all_10_24 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2133) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2134)  all_4_24 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2120), (2134) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2135)  $false
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2135) is inconsistent.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2136)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (2136) are inconsistent by sub-proof
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #57.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2137)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2137) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2138)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (2138) are
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2139)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2139) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2140)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (2140) are inconsistent
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #50.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2141)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2142)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (2142) are inconsistent by sub-proof
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #49.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2143)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2143) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2144)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2144) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2145)  all_10_24 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2145) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2146)  all_4_24 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2146) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2147)   ~ (all_4_9 = e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (21), (22), (291), (297), (303),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (311), (338), (411), (460), (470), (482),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (483), (515), (1933), (1941), (1964), (1982),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2065), (2088), (2090), (2095), (2109), (2145),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2147) are inconsistent by sub-proof #48.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2148)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2148) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2149)  all_10_24 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2150)   ~ (all_10_23 = e0)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2149) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2151)  all_4_24 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2151) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2152)   ~ (all_4_9 = e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (21), (22), (291), (297), (303),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (309), (311), (338), (411), (460), (470), (482),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (483), (515), (1933), (1941), (1964), (1982),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2065), (2088), (2090), (2095), (2109), (2149),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2152) are inconsistent by sub-proof #48.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2153)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2153) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2154)  all_8_13 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1941), (2154) are inconsistent by
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #242.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2155)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2155) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2156)  all_8_14 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2156) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2157)  e2 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2157) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)  e2 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2158) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)  $false
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2159) is inconsistent.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  all_8_15 = e1 | all_8_19 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2160) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  all_8_15 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (2161) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  e1 = e0
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2162) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  $false
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2163) is inconsistent.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)  all_8_19 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2164) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  all_4_23 = e1
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2165) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)   ~ (all_4_22 = e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2165) imply:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)   ~ (all_4_24 = e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2167) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2168)   ~ (all_4_24 = e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2169)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2170)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (332), (370), (470), (1894), (2170)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #58.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2171)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2171) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2172)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2172) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2173)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2173) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2174)  all_10_18 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2174) are inconsistent by sub-proof
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #59.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2175)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2175) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2176)  all_10_24 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2177)  all_10_0 = e0
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (9), (10), (11), (30), (81), (95),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (102), (107), (108), (111), (112), (113),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (125), (126), (127), (132), (133), (139),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (143), (182), (189), (227), (237), (241), (242),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (243), (251), (253), (291), (294), (303), (306),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (311), (322), (325), (332), (335), (370), (374),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (392), (394), (403), (404), (412), (415),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (425), (435), (437), (456), (458), (470), (471),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (474), (476), (478), (488), (489), (509), (592),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1899), (1917), (1928), (1933), (1941),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1956), (1957), (1960), (1968), (1969), (1985),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1990), (1993), (2065), (2088), (2090), (2091),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2164), (2166), (2168), (2176), (2177),
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #44.
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2178)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2178) gives:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2179)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2179) implies:
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2180)  all_10_24 = e4
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2181)  all_10_0 = e0
% 70.79/10.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (9), (10), (11), (30), (81), (95),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (97), (102), (107), (108), (111), (112), (113),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (124), (125), (126), (127), (132), (133), (139),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (143), (182), (189), (227), (237), (241), (242),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (243), (251), (253), (291), (294), (303), (306),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (311), (322), (325), (332), (335), (370), (374),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (384), (392), (394), (403), (404), (412), (415),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (425), (435), (437), (456), (458), (470), (471),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (474), (476), (478), (488), (489), (509), (592),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (1899), (1917), (1928), (1933), (1941),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1956), (1957), (1960), (1968), (1969), (1985),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1990), (1993), (2065), (2088), (2090), (2091),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2164), (2166), (2168), (2180), (2181),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #44.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2182)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (2182) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #57.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2183)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (294), (332), (352), (470),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2168), (2183) are inconsistent by sub-proof #42.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2184)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (495), (510), (2059), (2184) are
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2185)  all_8_9 = e4 | all_8_16 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2185) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2186)  all_8_9 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1965), (2186) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2187)  e4 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2187) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2188)  $false
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2188) is inconsistent.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2189)  all_8_16 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1952), (2189) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2190)  e4 = e3
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2190) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2191)  $false
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2191) is inconsistent.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2192)  all_6_13 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (513), (2192) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |            #233.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | |   (2193)   ~ (all_8_9 = e1)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2193) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | |   (2194)   ~ (all_4_15 = e1)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | |   (2195)  all_6_3 = e2
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1259), (2195) are inconsistent by
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | |   (2196)   ~ (all_6_3 = e2)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | |   (2197)  all_6_3 = e4 | all_6_3 = e1 | all_6_3 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2197) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2198)  all_6_3 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2198) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2199)  all_4_15 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2199) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2200)  all_4_15 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2194), (2200) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2201)  $false
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2201) is inconsistent.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | |   (2202)  all_6_3 = e4 | all_6_3 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2202) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2203)  all_6_3 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2203) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2204)  all_4_15 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2204) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2205)  all_4_15 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2205) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2206)  all_8_9 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (2205) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2207)  all_10_3 = e4
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (2205) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2208)   ~ (all_4_0 = e4)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2205) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2209)   ~ (all_4_10 = e4)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2210)  all_6_2 = e3
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (491), (2210) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #144.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2211)   ~ (all_6_2 = e3)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2212)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2213)  all_6_0 = e3
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (423), (1894), (2213) are inconsistent by
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #170.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2214)   ~ (all_6_0 = e3)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2215)  all_6_0 = e4 | all_6_0 = e2 | all_6_0 = e1 |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_0 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2216)  all_8_4 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2216) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2217)  all_4_10 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (364), (2217) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2218)  all_10_2 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2217) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2219)   ~ (all_4_0 = e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2217) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2220)   ~ (all_4_5 = e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2221)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (332), (352), (370), (470),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (2219), (2221) are inconsistent by
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #121.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2222)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2222) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2223)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (2223) are
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2224)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2224) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2225)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (2225) are inconsistent
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2226)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2227)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2227) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2228)  all_10_12 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (2228) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2229)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2229) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2230)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2230) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2231)  all_10_24 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2231) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2232)  all_4_24 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2232) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2233)  all_4_24 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2233) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2234)   ~ (all_4_23 = e1)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (22), (95), (124), (126), (197),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (251), (252), (291), (303), (311), (325),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (367), (370), (374), (384), (394), (403),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (415), (423), (425), (476), (493),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (509), (1933), (1941), (1942), (2207),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2208), (2215), (2218), (2219), (2220), (2231),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2234) are inconsistent by sub-proof #39.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2235)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2235) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2236)  all_10_24 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2237)   ~ (all_10_23 = e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2236) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2238)  all_4_24 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2238) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2239)  all_4_24 = e1
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2239) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2240)   ~ (all_4_23 = e1)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (22), (95), (124), (126), (197),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (251), (252), (291), (303), (311), (325),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (335), (367), (370), (374), (384), (394), (403),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (407), (411), (415), (423), (425), (476), (493),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (509), (1933), (1941), (1942), (2207),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2208), (2215), (2218), (2219), (2220), (2236),
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2240) are inconsistent by sub-proof #39.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2241)   ~ (all_8_4 = e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2242)  all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2241) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2243)   ~ (all_4_10 = e0)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2244)  all_8_5 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (469), (2244) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #271.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2245)  all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2245) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2246)  all_8_8 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (397), (2246) are inconsistent by sub-proof
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #175.
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2247)  all_8_14 = e0 | all_8_22 = e0
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2212) gives:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2248)  all_6_2 = e2
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2248) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2249)  all_4_10 = e2
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2249) implies:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2250)  all_4_10 = e2
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2250) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2251)  all_8_4 = e2
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2250) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2252)   ~ (all_4_0 = e2)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2250) imply:
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2253)   ~ (all_4_13 = e2)
% 70.79/10.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2253) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2254)   ~ (all_4_13 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (2250) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2255)   ~ (all_4_14 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2255) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2256)   ~ (all_4_14 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2247) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2257)  all_8_14 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (510), (2257) are inconsistent by sub-proof
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #174.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2258)  all_8_22 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2258) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2259)  all_4_14 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2259) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2260)  all_4_14 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (2260) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2261)  all_10_22 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (2260) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2262)   ~ (all_4_9 = e0)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2263)  all_6_17 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2263) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2264)  all_4_13 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2264) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2265)  all_4_13 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2254), (2265) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2266)  $false
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2266) is inconsistent.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2267)   ~ (all_6_17 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2268)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2269)  all_8_4 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2251), (2269) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2270)  e4 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (2270) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2271)  $false
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2271) is inconsistent.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2272)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2268) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2273)  all_6_17 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2273) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2274)  all_4_13 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2274) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2275)  all_4_13 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (495), (2275) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2276)  $false
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2276) is inconsistent.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2277)   ~ (all_6_17 = e1)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2278)  all_6_17 = e4 | all_6_17 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2278) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2279)  all_6_17 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2279) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2280)  all_4_13 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2280) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2281)  all_4_13 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2281) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2282)  all_8_14 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2283)  all_8_1 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2283) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2284)  all_4_5 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (2284) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2285)  all_10_1 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (2284) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2286)   ~ (all_4_0 = e1)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (2284) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2287)   ~ (all_4_9 = e1)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2287) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2288)   ~ (all_4_9 = e1)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2289)  all_8_1 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2283), (2289) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2290)  e1 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2290) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2291)  $false
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2291) is inconsistent.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2292)   ~ (all_8_1 = e0)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2293)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2293) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2294)  all_8_3 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (2294) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2295)  e4 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2295) imply:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2296)  $false
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2296) is inconsistent.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2297)   ~ (all_8_3 = e0)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2298)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2299)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2299) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2300)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (2207), (2286), (2300) are inconsistent by
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2301)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2301) implies:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2302)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2303)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (303), (332), (335), (384),
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (404), (415), (489), (1933), (2293),
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2302), (2303) are inconsistent by sub-proof #253.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2304)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2304) gives:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2305)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (303), (460), (482), (1964), (2261), (2262),
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2288), (2305) are inconsistent by sub-proof #78.
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2306)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2307)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2307) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2308)   ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (2207), (2285), (2308) are inconsistent by
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #221.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2309)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2309) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2310)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (325), (335), (394), (415), (509), (1941),
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2262), (2298), (2310) are inconsistent by
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #231.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2311)   ~ (all_8_1 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (2311) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2312)   ~ (all_4_5 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2313)  all_8_0 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2313) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2314)  all_4_0 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (2314) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2315)  all_10_0 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2314) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2316)   ~ (all_4_3 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2316) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2317)   ~ (all_4_3 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2208), (2314) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2318)   ~ (e4 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2252), (2314) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2319)   ~ (e2 = e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2320)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2320) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2321)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2321) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2322)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (2315), (2322) are inconsistent by
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #168.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2323)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_3 = e4))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2323) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2324)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2324) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2325)  all_10_0 = e2
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2315), (2325) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2326)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2326) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2327)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2327) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2328)  all_10_0 = e2
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2315), (2328) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2329)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2329) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2330)  all_10_18 = e4
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2330) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #59.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2331)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2332)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2332) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2333)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2333) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2334)  all_10_18 = e4
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2334) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #59.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2335)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2315), (2335) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #166.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2336)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2336) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2337)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2315), (2337) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2338)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2338) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2339)  all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2339) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2340)  all_10_6 = e2
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (352), (397), (469), (483),
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2258), (2272), (2282), (2340) are inconsistent by
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #38.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2341)  all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2341) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2342)  all_10_6 = e2
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (352), (397), (469), (483),
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2258), (2272), (2282), (2342) are inconsistent by
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #38.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2343)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2343) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2344)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (2344) are
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #52.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2345)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2345) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2346)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (2346) are inconsistent
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #50.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2347)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2347) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2348)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (2348) are inconsistent by sub-proof
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #49.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2349)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2349) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2350)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2350) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2351)  all_10_24 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (234), (294), (311), (403), (407), (411),
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (592), (1941), (1956), (2317), (2351) are
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #37.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2352)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2352) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2353)  all_10_24 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (234), (294), (311), (403), (407), (411),
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (495), (592), (1941), (1956), (2317), (2353) are
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #37.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2354) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2355)  all_8_1 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2355) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2356)  all_4_5 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2312), (2356) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2357)  $false
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2357) is inconsistent.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2358)  all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2358) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2359)  all_8_4 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2251), (2359) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2360)  e2 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2360) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2361)  e2 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2361) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2362)  $false
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2362) is inconsistent.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2363)  all_8_9 = e1 | all_8_16 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2363) gives:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2364)  all_8_9 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (2206), (2364) are inconsistent by
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #76.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2365)  all_8_16 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1952), (2365) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2366)  e3 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2366) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2367)  e3 = e1
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (2367) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2368)  $false
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2368) is inconsistent.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2369)  all_6_17 = e0
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2369) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2370)  all_4_13 = e0
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2370) implies:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2371)  all_4_13 = e0
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (2371) imply:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2372)  $false
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2372) is inconsistent.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2373)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (490), (2209), (2243), (2373) are
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2374)  all_6_3 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2374) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2375)  all_4_15 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2375) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2376)  all_4_15 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (511), (2376) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2377)  $false
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2377) is inconsistent.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | End of split
% 70.79/10.39  | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | |   (2378)   ~ (all_6_16 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | |   (2379)  all_6_16 = e4 | all_6_16 = e2 | all_6_16 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | |           all_6_16 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | REDUCE: (449), (2378) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | |   (2380)   ~ (all_4_8 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | |   (2381)  all_8_12 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1897), (2381) are inconsistent by
% 70.79/10.39  | | | | | | | | | | | | | | | | |            sub-proof #265.
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | |   (2382)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 70.79/10.39  | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | BETA: splitting (2382) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | |   (2383)  all_8_13 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | REF_CLOSE: (404), (2380), (2383) are inconsistent by
% 70.79/10.39  | | | | | | | | | | | | | | | | | |            sub-proof #119.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | |   (2384)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | BETA: splitting (262) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | |   (2385)  all_8_0 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (1894), (2385) are inconsistent by
% 70.79/10.39  | | | | | | | | | | | | | | | | | | |            sub-proof #152.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | |   (2386)   ~ (all_8_0 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | |   (2387)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | |           all_8_16 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | BETA: splitting (2387) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | |   (2388)  all_8_1 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2384) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | |   (2389)  all_8_14 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (503), (2389) are inconsistent by sub-proof
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | |            #212.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | |   (2390)  all_8_15 = e3 | all_8_19 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2391)  all_8_15 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (2391) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2392)  e3 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2392) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2393)  $false
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2393) is inconsistent.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2394)  all_8_19 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2394) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2395)  all_4_23 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2395) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2396)  all_4_23 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (2396) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2397)  all_10_19 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2396) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2398)   ~ (all_4_20 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2396) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2399)   ~ (all_4_24 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2399) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2400)   ~ (all_4_24 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2396) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | |   (2401)  op(e1, e0) = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | |   (2402)  all_6_15 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2402) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | |   (2403)  all_4_3 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1897), (2403) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | |   (2404)  $false
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2404) is inconsistent.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | |   (2405)   ~ (all_6_15 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | |   (2406)  all_6_15 = e4 | all_6_15 = e2 | all_6_15 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | |   (2407)  all_6_2 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (491), (2407) are inconsistent by sub-proof
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | |            #144.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | |   (2408)   ~ (all_6_2 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | |   (2409)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2410)  all_8_9 = e4
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2410) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2411)  all_4_15 = e4
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2411) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2412)  all_4_15 = e4
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (361), (2412) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2413)  all_10_3 = e4
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (2412) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2414)   ~ (all_4_10 = e4)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2412) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2415)   ~ (all_4_17 = e4)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2415) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2416)   ~ (all_4_17 = e4)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2412) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2417)   ~ (all_4_20 = e4)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2417) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | |   (2418)   ~ (all_4_20 = e4)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2419)  all_8_9 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (2410), (2419) are inconsistent by
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #76.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2420)  all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_23 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2420) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2421)  all_8_10 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1257), (2421) are inconsistent by sub-proof
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #225.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2422)  all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2422) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2423)  all_8_11 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2423) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2424)  all_4_17 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2424) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2425)  all_4_17 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (2425) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2426)   ~ (all_4_2 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (2425) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2427)   ~ (all_4_7 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2425) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2428)   ~ (all_4_22 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2428) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2429)   ~ (all_4_22 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2416), (2425) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2430)   ~ (e4 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2425) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2431)  op(e2, e1) = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2432)  all_6_4 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (2398), (2432) are inconsistent by
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #224.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2433)   ~ (all_6_4 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2434)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2435)  all_6_11 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (437), (488), (2435) are inconsistent by sub-proof
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #143.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2436)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2437)  all_6_14 = e3
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (509), (2437) are inconsistent by sub-proof
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2438)   ~ (all_6_14 = e3)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2439)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2440)  all_8_1 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2388), (2440) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2441)  e3 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2441) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2442)  $false
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2442) is inconsistent.
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2443)   ~ (all_8_1 = e0)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2444)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e0
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2445)  all_8_12 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2445) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2446)  all_4_3 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2446) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2447)  all_4_3 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (2447) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2448)  all_10_15 = e1
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (2447) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2449)   ~ (all_4_0 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2447) imply:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2450)   ~ (all_4_8 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2450) implies:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2451)   ~ (all_4_8 = e1)
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.79/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2452) gives:
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (2413), (2449), (2453) are inconsistent by
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 70.99/10.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2454) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (303), (332), (335), (384),
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (394), (404), (415), (489), (1933), (2444),
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2455), (2456) are inconsistent by sub-proof #253.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2457) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2458) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)   ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)  all_8_12 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2445), (2460) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)  e4 = e1
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2461) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2462) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2463)   ~ (all_8_12 = e4)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2464)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2464) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2465)  all_8_13 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (2465) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2466)  all_4_8 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2466) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2467)  all_4_8 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (2467) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2468)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2468) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2469)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2469) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2470)  all_8_14 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2470) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2471)  all_4_13 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2471) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2472)  all_4_13 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (2472) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2473)  all_10_17 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2379) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2474)  all_6_16 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2474) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2475)  all_4_8 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2475) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2476)  all_4_8 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (2476) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2477)  all_10_16 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2459) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2478)   ~ (all_10_16 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2477), (2478) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2479)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2479) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2480)  all_10_17 = e3 &  ~ (unit = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2480) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2481)  all_10_17 = e3
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2473), (2481) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2482)  e4 = e3
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2482) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2483)  e4 = e3
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2483) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2484)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2484) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2485)  all_6_16 = e4 | all_6_16 = e1 | all_6_16 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (480), (489), (2451), (2485) are
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2486)   ~ (all_8_14 = e4)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (2486) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2487)   ~ (all_4_13 = e4)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2488)  all_6_17 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2488) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  all_4_13 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2489) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2490)  all_8_14 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2489) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2491)   ~ (all_4_10 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (2489) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2492)   ~ (all_4_14 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2492) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2493)   ~ (all_4_14 = e2)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2494)  all_6_2 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (2491), (2494) are inconsistent by
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #129.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2495)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2495) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2496)  all_6_2 = e1
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (490), (2496) are inconsistent by sub-proof
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #128.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2497)   ~ (all_6_2 = e1)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2498)  all_6_2 = e4 | all_6_2 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2499)  all_6_2 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (2414), (2499) are inconsistent by
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #127.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2500)  all_6_2 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2500) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2501)  all_4_10 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2501) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2502)  all_4_10 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2502) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2503)  all_8_4 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (2502) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2504)   ~ (all_4_14 = e0)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2504) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2505)   ~ (all_4_14 = e0)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2506)  all_8_4 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2503), (2506) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2507)  e4 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2507) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2508)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2508) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2509)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2510)  all_8_5 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (2510) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2511)  e4 = e1
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2511) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2512)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2512) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2513)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2514)  all_8_8 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2514) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2515)  e4 = e3
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2515) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2516)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2516) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2517)  all_8_14 = e4 | all_8_22 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2517) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2518)  all_8_14 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2490), (2518) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2519)  e4 = e2
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (2519) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2520)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2520) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2521)  all_8_22 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2521) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2522)  all_4_14 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2522) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2523)  all_4_14 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (2523) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2524)   ~ (all_4_24 = e4)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2524) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2525)   ~ (all_4_24 = e4)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2526)  all_8_16 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2526) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2527)  all_4_20 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2527) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2528)  all_4_20 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2418), (2528) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2529)  $false
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2529) is inconsistent.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2530)  all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2531)  all_8_17 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1912), (2531) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2532)  e4 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2521), (2532) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2533)  all_8_22 = e0
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (2490), (2517), (2533) are
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #173.
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2534)  all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2534) gives:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2535)  all_8_18 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2535) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2536)  all_4_22 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2536) implies:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2537)  all_4_22 = e4
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2537) imply:
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2538)   ~ (all_4_2 = e4)
% 70.99/10.40  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (18), (22), (25),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (58), (70), (71), (74), (99), (101), (108),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (142), (151), (182), (190), (241), (243),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (244), (245), (291), (292), (294), (297), (300),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (306), (332), (338), (352), (370), (375),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (392), (394), (397), (400), (407), (416), (431),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (450), (458), (470), (474), (478), (483),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (495), (503), (505), (509), (510), (515),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (597), (1268), (1894), (1899), (1917), (1923),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1928), (1933), (1935), (2397), (2400), (2401),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2409), (2423), (2426), (2427), (2429), (2431),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2487), (2513), (2538), (function-axioms) are
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #27.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2539)  all_8_19 = e4 | all_8_24 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2539) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2540)  all_8_19 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (2540) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2541)  e4 = e3
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2541) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2542)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2542) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2543)  all_8_24 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2543) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  all_4_24 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2544) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2545)  all_4_24 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2525), (2545) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2546)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2546) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (495), (510), (2487), (2547) are
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2549) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2448), (2550) are inconsistent by
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #234.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (493), (2397), (2551) are inconsistent by
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #118.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)  all_8_13 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (2553) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)  all_4_8 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2554) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)  all_4_8 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2555) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)   ~ (all_4_3 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (2555) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2557)   ~ (all_4_9 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2557) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2558)   ~ (all_4_9 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2559)  all_8_12 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2559) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2560)  all_4_3 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2560) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2561)  all_4_3 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2561) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2562)   ~ (all_4_2 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (2561) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2563)   ~ (all_4_13 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2563) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2564)   ~ (all_4_13 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2565)  all_8_4 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2565) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2566)  all_4_10 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2414), (2566) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2567)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2567) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2568)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2569)  all_8_5 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (469), (2569) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2570)  e4 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2570) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2571)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2571) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2572)   ~ (all_8_5 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2573)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (18), (22), (25),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (30), (58), (70), (71), (74), (99), (101), (108),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (112), (142), (151), (182), (190), (241), (243),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (244), (245), (291), (292), (294), (297), (300),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (306), (332), (338), (352), (370), (375),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (392), (394), (397), (400), (407), (416), (431),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (450), (458), (470), (474), (478), (483),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (495), (503), (505), (509), (510), (515),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (597), (1268), (1894), (1899), (1917), (1923),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1928), (1933), (1935), (2397), (2400), (2401),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2409), (2423), (2426), (2427), (2429), (2431),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2562), (2564), (2573), (function-axioms) are
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #27.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2574)   ~ (all_8_12 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (2574) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2575)   ~ (all_4_3 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2576)  all_6_15 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2576) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)  all_4_3 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2577) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)  all_4_3 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2578) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  all_8_12 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2578) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)   ~ (all_4_2 = e2)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  all_6_10 = e3
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (474), (2581) are inconsistent by sub-proof
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #240.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)   ~ (all_6_10 = e3)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_10 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (258) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)  all_8_0 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2584) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2585)  all_4_0 = e1
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2585) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2586)   ~ (all_4_10 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2585) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2587)   ~ (all_4_20 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2588)   ~ (all_4_20 = e1)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2589)  all_8_0 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2584), (2589) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2590)  e1 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2590) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2591)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2591) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2592)  all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2592) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2593)  all_8_1 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2388), (2593) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2594)  e3 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2594) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2595)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2595) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2596)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2434) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2597)  all_6_4 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2597) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2598)  all_4_20 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2598) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2599)  all_4_20 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2599) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2600)  all_8_16 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2599) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2601)   ~ (all_4_10 = e2)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2599) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2602)   ~ (all_4_22 = e2)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2602) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2603)   ~ (all_4_22 = e2)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2604)  all_8_16 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2600), (2604) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2605)  e4 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (2605) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2606)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2606) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2607)   ~ (all_8_16 = e4)
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2608)  all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e4
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2609)  all_8_6 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2609) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2610)  all_4_2 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2610) implies:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2611)  all_4_2 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2580), (2611) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2612)  $false
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2612) is inconsistent.
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2613)  all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2596) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2614)  all_8_4 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2614) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2615)  all_4_10 = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (2615) imply:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2616)  op(e4, e2) = e0
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2613) gives:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2617)  all_8_7 = e2
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (15), (16), (25),
% 70.99/10.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (142), (394), (1268), (1923), (1928), (1935),
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2401), (2427), (2431), (2616), (2617),
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #30.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2618)   ~ (all_8_7 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2619)  all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (2618) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2620)   ~ (all_4_7 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2608) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2621)  all_8_17 = e4
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1912), (2621) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2622)  e4 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2622) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2623)  $false
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2623) is inconsistent.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2624)  all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2619) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2625)  all_8_8 = e2
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (397), (2625) are inconsistent by sub-proof
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2626)  all_8_11 = e2 | all_8_18 = e2
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2624) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2627)  all_8_18 = e4
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (2423), (2626), (2627) are
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #29.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2628)   ~ (all_8_18 = e4)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (2628) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2629)   ~ (all_4_22 = e4)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (437), (456), (478), (2427), (2429), (2436),
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2439), (2603), (2620), (2629) are inconsistent by
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #86.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2630)  all_8_9 = e0 | all_8_16 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2630) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2631)  all_8_9 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2410), (2631) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2632)  e4 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2632) implies:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2633)  e4 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2633) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2634)  $false
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2634) is inconsistent.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2635)  all_8_16 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2600), (2635) are inconsistent by sub-proof
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #116.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2636)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1915), (2418), (2588), (2636) are
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2637)   ~ (all_8_0 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2638)  all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (2637) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2639)   ~ (all_4_0 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2640)  all_8_1 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2388), (2640) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2641)  e3 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (2641) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2642)  $false
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2642) is inconsistent.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2643)   ~ (all_8_1 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2644)  all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2644) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2645)  all_8_4 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (490), (2645) are inconsistent by sub-proof
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2646)   ~ (all_8_4 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2647)  all_8_9 = e1 | all_8_16 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (257) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2648)  all_8_0 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2648) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2649)  all_4_0 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2639), (2649) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2650)  $false
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2650) is inconsistent.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2651)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2651) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2652)  all_8_2 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1890), (2652) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2653)  e3 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (493), (2653) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2654)  $false
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2654) is inconsistent.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2655)   ~ (all_8_2 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2656)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2656) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2657)  all_8_6 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (2426), (2657) are inconsistent by
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #80.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2658)  all_8_12 = e1 | all_8_20 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2659)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (303), (370), (1933), (2413), (2558), (2639),
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2659) are inconsistent by sub-proof #40.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2660)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2661)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2661) implies:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2662)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2663)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2662) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2664)   ~ (all_10_21 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (303), (2664) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2665)   ~ (all_4_9 = e2)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2658) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2666)  all_8_12 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2579), (2666) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2667)  e2 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2667) implies:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2668)  e2 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2668) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2669)  $false
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2669) is inconsistent.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2670)  all_8_20 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (412), (2670) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2671)  all_4_4 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2671) implies:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2672)  all_4_4 = e1
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2672) imply:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2673)   ~ (all_4_24 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2673) implies:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2674)   ~ (all_4_24 = e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2675)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2675) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2676)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (332), (370), (470), (1894), (2676)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #58.
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2677)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2677) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2678)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2678) gives:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2679)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2679) implies:
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2680)  all_10_18 = e4
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2680) are inconsistent by sub-proof
% 70.99/10.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #59.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2681)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2681) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2682)  all_10_24 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2683)  all_10_0 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (123), (127), (227), (244), (294), (332),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (338), (370), (392), (415), (416), (421), (431),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (474), (490), (491), (1932), (2400),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2409), (2414), (2426), (2583), (2663), (2665),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2670), (2682), (2683) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2684)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2684) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2685)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2685) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2686)  all_10_24 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2687)  all_10_0 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (123), (127), (227), (244), (294), (332),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (338), (370), (392), (415), (416), (421), (431),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (474), (490), (491), (1932), (2400),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2409), (2414), (2426), (2583), (2663), (2665),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2670), (2686), (2687) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2688)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (2688) are inconsistent by sub-proof
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #57.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2689)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (294), (332), (352), (470),
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2674), (2689) are inconsistent by sub-proof #42.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2690)  all_10_22 = e3 &  ~ (unit = e2)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2690) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2691)  all_10_22 = e3
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (300), (2691) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2692)  all_4_14 = e3
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (505), (2692) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2693)  $false
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2693) is inconsistent.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2694)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2694) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2695)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2695) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2696)   ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2696) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2697)   ~ (all_10_4 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (2697) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2698)   ~ (all_4_20 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (379), (483), (2410), (2647), (2698) are
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #75.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2699)  all_10_3 = e0 &  ~ (unit = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (2413), (2699) are inconsistent by sub-proof
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #214.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2700)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (493), (2397), (2700) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #118.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2701)  all_6_15 = e4 | all_6_15 = e1 | all_6_15 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (475), (2556), (2575), (2701) are
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #238.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2702)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (311), (407), (493), (495), (2394), (2702)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #24.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2703)  all_8_15 = e1 | all_8_23 = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (311), (493), (1932), (2703) are
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #213.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2704)   ~ (all_8_9 = e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_23 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2704) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | |   (2706)   ~ (all_4_15 = e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1938) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  all_6_3 = e2
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1259), (2707) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)   ~ (all_6_3 = e2)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_6_3 = e4 | all_6_3 = e1 | all_6_3 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2709) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  all_6_3 = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (2710) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  all_4_15 = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2711) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)  all_4_15 = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2712) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)   ~ (all_4_17 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2713) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)   ~ (all_4_17 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2712) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)   ~ (all_4_20 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2715) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)   ~ (all_4_20 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1259), (2712) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)   ~ (e2 = e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2712) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  op(e4, e1) = e1
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2705) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  all_8_10 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1257), (2719) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)  e4 = e2
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (2720) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  $false
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2721) is inconsistent.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2722) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  all_8_11 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2723) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  all_4_17 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2724) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  all_4_17 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2725) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)   ~ (all_4_22 = e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2726) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)   ~ (all_4_22 = e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2725) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)  op(e2, e1) = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)  all_6_4 = e3
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (2398), (2729) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #224.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)   ~ (all_6_4 = e3)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  all_8_16 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2732) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2733)  all_4_20 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2733) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2734)  all_4_20 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2734) imply:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2735)   ~ (all_4_24 = e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2735) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2736)   ~ (all_4_24 = e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2737)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2737) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2738)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2738) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2739)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (1894), (2739) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #181.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2740)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_3 = e4))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (332), (470), (2740) are inconsistent
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #200.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2741)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2741) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2742)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2742) gives:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2743)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2743) are inconsistent by sub-proof
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #199.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2744)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2744) implies:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2745)  all_10_24 = e4
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (294), (2736), (2745) are inconsistent by
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #34.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2746)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (294), (352), (2736), (2746) are
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #33.
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2747)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2748)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (352), (470), (2748) are
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2749)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2750)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (2750) are inconsistent
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2751)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2751) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2752)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2752) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2753)  all_10_12 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (2753) are inconsistent by sub-proof
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2754)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2754) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2755)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2756)  all_10_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2756) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2757)  all_4_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2757) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2758)  all_4_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2758) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2759)  all_8_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2758) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2760)   ~ (all_4_9 = e1)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (15), (16), (17),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18), (19), (21), (139), (231), (291), (297),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (325), (332), (352), (400), (470), (493),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (1268), (1912), (1917), (1923), (1928),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1933), (1935), (2394), (2397), (2401), (2718),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2728), (2732), (2756), (2759), (2760),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #22.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2761)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2761) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2762)  all_10_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2763)   ~ (all_10_23 = e0)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2762) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2764)  all_4_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2764) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2765)  all_4_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2765) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2766)  all_8_24 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2765) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2767)   ~ (all_4_9 = e1)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (15), (16), (17),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (18), (19), (21), (139), (231), (291), (297),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (303), (325), (332), (352), (400), (470), (493),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (1268), (1912), (1917), (1923), (1928),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1933), (1935), (2394), (2397), (2401), (2718),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2728), (2732), (2762), (2766), (2767),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #22.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2768)   ~ (all_8_16 = e4)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2769)  all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (2768) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2770)   ~ (all_4_20 = e4)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2769) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2771)  all_8_17 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1912), (2771) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2772)  e4 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2772) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2773)  $false
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2773) is inconsistent.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2774)  all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2731) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2775)  all_6_4 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2775) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2776)  all_4_20 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2776) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2777)  all_4_20 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (2777) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2778)  all_10_4 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2777) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2779)   ~ (all_4_24 = e2)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2779) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2780)   ~ (all_4_24 = e2)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2774) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2781)  all_8_18 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2781) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2782)  all_4_22 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2782) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2783)  all_4_22 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2727), (2783) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2784)  $false
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2784) is inconsistent.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2785)  all_8_19 = e4 | all_8_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2786)  all_8_19 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2394), (2786) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2787)  e4 = e3
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2787) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2788)  $false
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2788) is inconsistent.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2789)  all_8_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2789) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2790)  all_4_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2790) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2791)  all_4_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (2791) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2792)  all_10_24 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2793)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2793) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2794)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2794) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2795)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2796)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (125), (292), (306),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (352), (370), (470), (483), (1893), (1894),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2792), (2795), (2796) are inconsistent by
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2797)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2797) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2798)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2799)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2799) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2800)   ~ (all_10_12 = e3)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (332), (2800) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2801)  $false
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2801) is inconsistent.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2802)  all_10_11 = e2 &  ~ (unit = e3)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2802) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2803)  all_10_11 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2803) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2804)  all_4_7 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2804) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2805)  all_4_7 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (2805) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2806)  all_8_7 = e2
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2798) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2807)   ~ (all_10_23 = e3)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1933), (2807) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2808)  $false
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2808) is inconsistent.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2809)  all_10_21 = e1 &  ~ (unit = e3)
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2809) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2810)  all_10_21 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (303), (2810) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2811)  all_4_9 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2811) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2812)  all_4_9 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (2812) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2813)  all_8_21 = e1
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2814)  all_8_1 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2388), (2814) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2815)  e3 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2815) implies:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2816)  e3 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2816) imply:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2817)  $false
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2817) is inconsistent.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2818)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e0
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (384), (404), (489), (2806),
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2813), (2818) are inconsistent by sub-proof #254.
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 70.99/10.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2819)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2819) gives:
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2820)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2820) implies:
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2821)   ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 70.99/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2822)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2822) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2823)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2823) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2824)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (1894), (2824) are inconsistent by
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #181.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2825)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_3 = e4))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (332), (470), (2825) are inconsistent
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #200.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2826)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2826) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2827)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2828)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (2828) are inconsistent by sub-proof
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #199.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2829)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2829) implies:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2830)  all_10_0 = e0
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (364), (370), (2778), (2821), (2830) are
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2831)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2831) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2832)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2832) implies:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2833)  all_10_0 = e0
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (364), (370), (2778), (2821), (2833) are
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #12.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2834)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (2834) are inconsistent by sub-proof
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #197.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2835)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2835) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2836)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2837)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (470), (2837) are inconsistent by sub-proof
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2838)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_13 = e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2838) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2839)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3)
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2839) implies:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2840)  all_10_24 = e3
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2841)  all_10_6 = e0
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (352), (2792), (2840), (2841) are
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #11.
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2842)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2))
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2842) gives:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2843)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 =
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2843) implies:
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2844)  all_10_24 = e3
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2845)  all_10_6 = e0
% 71.22/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (352), (2792), (2844), (2845) are
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #11.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2846)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (470), (2846) are inconsistent by sub-proof
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #194.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2847)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2847) gives:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2848)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (2848) are inconsistent
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2849)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2849) gives:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2850)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2850) implies:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2851)  all_10_12 = e0
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (2851) are inconsistent by sub-proof
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2852)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (2792), (2852) are inconsistent by
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2853)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (234), (311), (319), (322),
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (403), (404), (407), (470), (493), (495), (2394),
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2397), (2853) are inconsistent by sub-proof #9.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2854)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1915), (2716), (2770), (2854) are
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #216.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2855)  all_8_15 = e4 | all_8_23 = e4
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (311), (1932), (2855) are inconsistent
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #250.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2856)  all_6_3 = e4 | all_6_3 = e0
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (511), (2706), (2856) are inconsistent by
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #97.
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.45  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | |   (2857)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2384) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |   (2858)  all_8_14 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (503), (2858) are inconsistent by sub-proof
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |            #212.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |   (2859)  all_8_15 = e3 | all_8_19 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2859) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2860)  all_8_15 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (2860) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2861)  e3 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2861) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2862)  $false
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2862) is inconsistent.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2863)  all_8_19 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2863) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2864)  all_4_23 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2864) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2865)  all_4_23 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2865) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2866)   ~ (all_4_20 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (378), (379), (491), (1934), (2857), (2866)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #148.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | |   (2867)   ~ (all_6_23 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | REDUCE: (463), (2867) imply:
% 71.23/10.46  | | | | | | | | | | | | | |   (2868)   ~ (all_4_19 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 71.23/10.46  | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | |   (2869)  all_8_9 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2869) imply:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2870)  all_4_15 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | SIMP: (2870) implies:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2871)  all_4_15 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | COMBINE_EQS: (361), (2871) imply:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2872)  all_10_3 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | REDUCE: (93), (2871) imply:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2873)   ~ (all_4_5 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | REDUCE: (50), (2871) imply:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2874)   ~ (all_4_19 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | REDUCE: (49), (2871) imply:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2875)   ~ (all_4_20 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | SIMP: (2875) implies:
% 71.23/10.46  | | | | | | | | | | | | | | |   (2876)   ~ (all_4_20 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2877)  all_6_16 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2877) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2878)  all_4_8 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | SIMP: (2878) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2879)  all_4_8 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | REDUCE: (80), (2879) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2880)   ~ (all_4_9 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | SIMP: (2880) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2881)   ~ (all_4_9 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | |   (2882)  all_8_20 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (412), (1899), (2882) are inconsistent by
% 71.23/10.46  | | | | | | | | | | | | | | | | |            sub-proof #122.
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | |   (2883)  all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 71.23/10.46  | | | | | | | | | | | | | | | | |           all_8_24 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (21), (22), (292), (294), (332),
% 71.23/10.46  | | | | | | | | | | | | | | | | |            (352), (370), (415), (416), (419), (421), (470),
% 71.23/10.46  | | | | | | | | | | | | | | | | |            (493), (505), (592), (1894), (2868), (2881),
% 71.23/10.46  | | | | | | | | | | | | | | | | |            (2883) are inconsistent by sub-proof #123.
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2884)   ~ (all_6_16 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2885)  all_6_16 = e4 | all_6_16 = e2 | all_6_16 = e1 |
% 71.23/10.46  | | | | | | | | | | | | | | | |           all_6_16 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | REDUCE: (449), (2884) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | |   (2886)   ~ (all_4_8 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | |   (2887)  all_8_1 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (2873), (2887) are inconsistent by
% 71.23/10.46  | | | | | | | | | | | | | | | | |            sub-proof #151.
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | |   (2888)  all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 71.23/10.46  | | | | | | | | | | | | | | | | |           all_8_21 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | BETA: splitting (2888) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | |   (2889)  all_8_3 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (384), (2889) are inconsistent by sub-proof
% 71.23/10.46  | | | | | | | | | | | | | | | | | |            #210.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | |   (2890)  all_8_7 = e3 | all_8_13 = e3 | all_8_21 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | BETA: splitting (2890) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | |   (2891)  all_8_7 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (2891) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | |   (2892)  all_4_7 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | REDUCE: (488), (2892) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | |   (2893)  $false
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | CLOSE: (2893) is inconsistent.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | |   (2894)  all_8_13 = e3 | all_8_21 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | BETA: splitting (2894) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | |   (2895)  all_8_13 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (404), (2886), (2895) are inconsistent by
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | |            sub-proof #119.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | |   (2896)  all_8_21 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (2896) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | |   (2897)  all_4_9 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | SIMP: (2897) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | |   (2898)  all_4_9 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |   (2899)  all_8_16 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (379), (2876), (2899) are inconsistent by
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |            sub-proof #149.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |   (2900)  all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2900) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2901)  all_8_17 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |   (2902)  all_8_10 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1257), (2902) are inconsistent by sub-proof
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |            #67.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1912), (2901) are inconsistent by sub-proof
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |            #115.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2903)   ~ (all_8_17 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | |   (2904)  all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2904) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |   (2905)  all_8_18 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2905) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |   (2906)  all_4_22 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2906) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |   (2907)  all_4_22 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (2907) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |   (2908)  $false
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2908) is inconsistent.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | |   (2909)  all_8_19 = e3 | all_8_24 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2909) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | |   (2910)  all_8_19 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2910) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | |   (2911)  all_4_23 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2911) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | |   (2912)  all_4_23 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (309), (2912) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | |   (2913)  all_10_19 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2912) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | |   (2914)   ~ (all_4_24 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2914) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | |   (2915)   ~ (all_4_24 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (2916)  all_6_15 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2916) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  all_4_3 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1897), (2917) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (2918)  $false
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2918) is inconsistent.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (2919)   ~ (all_6_15 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (2920)  all_6_15 = e4 | all_6_15 = e2 | all_6_15 = e1 |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2921)  all_6_14 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (509), (2921) are inconsistent by sub-proof
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_14 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)  all_6_4 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (2876), (2923) are inconsistent by
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #224.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)   ~ (all_6_4 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)  all_6_1 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (2873), (2926) are inconsistent by
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #263.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)   ~ (all_6_1 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  all_8_12 = e1
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2929) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  all_4_3 = e1
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2930) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  all_4_3 = e1
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (322), (2931) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  all_10_15 = e1
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2931) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)   ~ (all_4_8 = e1)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2933) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)   ~ (all_4_8 = e1)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2885) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  all_6_16 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2935) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  all_4_8 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2936) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)  all_4_8 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (2937) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)  all_10_16 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2937) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)   ~ (all_4_7 = e2)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (2937) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)   ~ (all_4_13 = e2)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2940) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)   ~ (all_4_13 = e2)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)  all_6_17 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2942) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)  all_4_13 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2941), (2943) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)  $false
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2944) is inconsistent.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2946) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2947) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)   ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2948) gives:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)   ~ (all_10_17 = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (2949) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)   ~ (all_4_13 = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (495), (510), (2945), (2950) are
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #140.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)  all_10_15 = e2 &  ~ (unit = e4)
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2951) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2952)  all_10_15 = e2
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2932), (2952) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2953)  e2 = e1
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2953) implies:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2954)  e2 = e1
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2954) imply:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2955)  $false
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2955) is inconsistent.
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2956)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.23/10.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2956) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2957)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (332), (335), (2939), (2957) are inconsistent by
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #8.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2958)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2958) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2959)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2959) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2960)   ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2960) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2961)   ~ (all_10_16 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2938), (2961) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2962)  $false
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2962) is inconsistent.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2963)  all_10_17 = e3 &  ~ (unit = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2963) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2964)  all_10_17 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (316), (2964) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2965)  all_4_13 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2965) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2966)  all_4_13 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (2966) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2967)  $false
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2967) is inconsistent.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2968)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2968) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2969)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1)))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2969) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2970)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (234), (311), (322), (403), (404),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (407), (470), (493), (495), (2910), (2934), (2970)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #10.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2971)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (493), (2913), (2971) are inconsistent by
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #118.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2972)  all_6_16 = e4 | all_6_16 = e1 | all_6_16 = e0
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (480), (489), (2934), (2972) are
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #36.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2973)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2973) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2974)  all_8_13 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (404), (2974) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2975)  all_4_8 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2975) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2976)  all_4_8 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2976) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2977)   ~ (all_4_3 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (2976) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2978)   ~ (all_4_5 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2976) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2979)   ~ (all_4_7 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (2976) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2980)   ~ (e4 = e1)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2981)  all_8_12 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2981) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2982)  all_4_3 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2982) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2983)  all_4_3 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (2983) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2984)   ~ (all_4_13 = e4)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2984) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2985)   ~ (all_4_13 = e4)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (22), (30), (35), (37), (58),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (70), (71), (81), (92), (94), (97), (121),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (189), (196), (227), (234),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (256), (258), (291), (292), (294), (297),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (311), (319), (322), (325), (332), (335),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (352), (358), (364), (367), (370), (372), (374),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (375), (379), (397), (403), (404), (407), (416),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (419), (421), (425), (431), (437), (450), (454),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (469), (470), (476), (478), (483), (488),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (491), (493), (495), (503), (510), (515),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (590), (592), (597), (1263), (1893), (1894),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1915), (2869), (2872), (2876), (2896), (2910),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2913), (2915), (2922), (2925), (2928), (2978),
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2979), (2985) are inconsistent by sub-proof #3.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2986)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2986) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2987)  all_8_13 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2974), (2987) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2988)  e4 = e1
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (2988) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2989)  $false
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2989) is inconsistent.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2990)   ~ (all_8_13 = e4)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2991)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2991) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2992)  all_8_14 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2992) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2993)  all_4_13 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2993) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2994)  all_4_13 = e4
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (2994) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2995)   ~ (all_4_3 = e4)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2994) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2996)   ~ (all_4_10 = e4)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2997)  all_8_12 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2997) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2998)  all_4_3 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2998) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2999)  all_4_3 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (2999) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3000)   ~ (all_4_4 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3000) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3001)   ~ (all_4_4 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3002)  all_6_2 = e3
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (491), (3002) are inconsistent by sub-proof
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #144.
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3003)   ~ (all_6_2 = e3)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3004)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 |
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_2 = e0
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3005)  all_8_1 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (3005) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3006)  all_4_5 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (3006) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3007)  all_10_1 = e2
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (3006) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3008)   ~ (all_4_7 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3008) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3009)   ~ (all_4_7 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3006) imply:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3010)   ~ (all_4_10 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3010) implies:
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3011)   ~ (all_4_10 = e2)
% 71.23/10.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3006) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3012)   ~ (all_4_20 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3012) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3013)   ~ (all_4_20 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3014)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3015)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3015) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3016)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3017)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3018)   ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3004) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3019)  all_6_2 = e2
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (3011), (3019) are inconsistent by
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #129.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3020)   ~ (all_6_2 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3021)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3022)  all_8_4 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3022) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3023)  all_4_10 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3023) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3024)  all_4_10 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (3024) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3025)   ~ (all_4_0 = e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (3024) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3026)   ~ (all_4_20 = e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3018) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3027)   ~ (all_10_4 = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (358), (3027) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3028)   ~ (all_4_20 = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3029)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3029) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3030)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3030) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3031)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (1894), (3031) are inconsistent by
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #181.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3032)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_3 = e4))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (22), (332), (470), (3032) are inconsistent
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #200.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3033)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3034)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e4))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3034) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3035)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (470), (3035) are inconsistent by sub-proof
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #199.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3036)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3036) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3037)  all_10_24 = e4
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (125), (292), (306),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (352), (370), (470), (483), (1893), (1894),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3016), (3017), (3037) are inconsistent by
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3038)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_11 = e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3038) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3039)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3039) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3040)  all_10_24 = e4
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (125), (292), (306),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (332), (352), (370), (470), (483), (1893), (1894),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3016), (3017), (3040) are inconsistent by
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3041)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (352), (3041) are inconsistent by sub-proof
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #197.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3042)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3042) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3043)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3043) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3044)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (352), (470), (1893), (3017), (3044) are
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3045)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_13 = e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (370), (470), (493), (1894), (3045) are
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #160.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3046)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3046) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3047)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (352), (470), (1893), (3017),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3047) are inconsistent by sub-proof #16.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3048)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3048) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3049)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3049) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3050)  all_10_12 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (3050) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3051)  e3 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (352), (1893), (3017), (3051) are
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #17.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3052)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3052) gives:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3053)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3053) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3054)  all_10_24 = e1
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (294), (454), (1915), (2925), (3013),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3028), (3054) are inconsistent by sub-proof #2.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3055)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3055) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3056)  all_10_24 = e1
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (294), (454), (1915), (2925), (3013),
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3028), (3056) are inconsistent by sub-proof #2.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3057)  all_10_0 = e0 &  ~ (unit = e4)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3057) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3058)  all_10_0 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (3058) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3059)  all_4_0 = e0
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3025), (3059) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3060)  $false
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3060) is inconsistent.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3061)   ~ (all_8_4 = e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3061) imply:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3062)   ~ (all_4_10 = e0)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (490), (2996), (3021), (3062) are
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3063)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3063) implies:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3064)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (332), (335), (3009), (3064) are inconsistent by
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #8.
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3065)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_16 = e2) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3065) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3066)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3066) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3067)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3067) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3068)   ~ (all_10_1 = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3007), (3068) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3069)  $false
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3069) is inconsistent.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3070)  all_10_2 = e3 &  ~ (unit = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (364), (491), (3070) are inconsistent by sub-proof
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #69.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3071)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_15 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_17 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_20 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_22 = e1) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1)))) | (( ~ (all_10_0 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_13 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_21 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_23 = e0) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e0) |  ~ (unit = e0)))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (234), (311), (319), (322),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (403), (404), (407), (470), (493), (495), (2910),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2913), (3071) are inconsistent by sub-proof #9.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3072)   ~ (all_8_1 = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (3072) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3073)   ~ (all_4_5 = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2928) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3074)  all_6_1 = e2
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (3073), (3074) are inconsistent by
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #229.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3075)   ~ (all_6_1 = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3076)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3076) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3077)  all_6_1 = e1
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (2978), (3077) are inconsistent by
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #228.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3078)  all_6_1 = e4 | all_6_1 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3079)  all_6_1 = e4
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3079) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3080)  all_4_5 = e4
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3080) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3081)  all_4_5 = e4
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (3081) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3082)  $false
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3082) is inconsistent.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3083)  all_6_1 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3083) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3084)  all_4_5 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3084) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3085)  all_4_5 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (3085) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3086)   ~ (all_4_0 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3085) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3087)   ~ (all_4_10 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3087) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3088)   ~ (all_4_10 = e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3089)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1)) | (all_10_0 = e0 & all_10_24 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e2))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (21), (22), (332), (352), (370), (470),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1894), (3086), (3089) are inconsistent by
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #121.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3090)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3090) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3091)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3091) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3092)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (470), (3092) are inconsistent by sub-proof
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #195.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3093)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_13 = e2))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (370), (470), (493), (1894), (3093) are
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #160.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3094)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3094) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3095)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e2))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (332), (470), (3095) are inconsistent
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #158.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3096)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             = e1 &  ~ (all_10_23 = e0))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3096) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3097)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3097) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3098)  all_10_12 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (332), (3098) are inconsistent by sub-proof
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #159.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3099)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0))
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3099) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3100)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3100) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3101)  all_10_24 = e1
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (227), (294), (412), (416), (419), (421),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (431), (490), (491), (1263), (2896), (2996),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3001), (3004), (3088), (3101) are inconsistent by
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3102)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3102) implies:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3103)  all_10_24 = e1
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (70), (227), (294), (412), (416), (419), (421),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (431), (490), (491), (1263), (2896), (2996),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3001), (3004), (3088), (3103) are inconsistent by
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3104)   ~ (all_8_12 = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (3104) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3105)   ~ (all_4_3 = e2)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (475), (2920), (2977), (2995), (3105) are
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #237.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3106)   ~ (all_8_14 = e4)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (3106) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3107)   ~ (all_4_13 = e4)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (22), (30), (35), (37), (58),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (68), (70), (71), (81), (92), (94), (97), (121),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (123), (124), (125), (189), (196), (227), (234),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (247), (256), (258), (291), (292), (294), (297),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (306), (311), (319), (322), (325), (332), (335),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (352), (358), (364), (367), (370), (372), (374),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (375), (379), (397), (403), (404), (407), (416),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (419), (421), (425), (431), (437), (450), (454),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (456), (469), (470), (476), (478), (483), (488),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (490), (491), (493), (495), (503), (510), (515),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (590), (592), (597), (1263), (1893), (1894),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1915), (2869), (2872), (2876), (2896), (2910),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2913), (2915), (2922), (2925), (2928), (2978),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2979), (3107) are inconsistent by sub-proof #3.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3108)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (311), (407), (493), (495), (2910), (3108)
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #24.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | |   (3109)  all_8_24 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (3109) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | |   (3110)  all_4_24 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (294), (3110) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | |   (3111)  all_10_24 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (20), (21), (22), (292), (332), (352),
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | |            (370), (470), (493), (1894), (3111) are
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | |   (3112)  all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 71.23/10.49  | | | | | | | | | | | | | | |           all_8_23 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | BETA: splitting (3112) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | |   (3113)  all_8_10 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | COMBINE_EQS: (1257), (3113) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | |   (3114)  e3 = e2
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | REDUCE: (19), (3114) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | |   (3115)  $false
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | CLOSE: (3115) is inconsistent.
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | |   (3116)  all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | BETA: splitting (3116) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | |   (3117)  all_8_11 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | REF_CLOSE: (399), (507), (3117) are inconsistent by sub-proof
% 71.23/10.49  | | | | | | | | | | | | | | | | |            #266.
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | |   (3118)  all_8_15 = e3 | all_8_23 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives:
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | Case 1:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | |   (3119)  all_8_15 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (311), (3119) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | |   (3120)  e3 = e0
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | REDUCE: (18), (3120) imply:
% 71.23/10.49  | | | | | | | | | | | | | | | | | |   (3121)  $false
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | CLOSE: (3121) is inconsistent.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | Case 2:
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | |   (3122)  all_8_23 = e3
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (419), (2868), (3122) are inconsistent by
% 71.23/10.49  | | | | | | | | | | | | | | | | | |            sub-proof #145.
% 71.23/10.49  | | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | | 
% 71.23/10.49  | | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | | 
% 71.23/10.49  | | | | | | | | End of split
% 71.23/10.49  | | | | | | | | 
% 71.23/10.49  | | | | | | | End of split
% 71.23/10.49  | | | | | | | 
% 71.23/10.49  | | | | | | Case 2:
% 71.23/10.49  | | | | | | | 
% 71.23/10.49  | | | | | | |   (3123)  all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 =
% 71.23/10.49  | | | | | | |           e3
% 71.23/10.49  | | | | | | | 
% 71.23/10.49  | | | | | | | REF_CLOSE: (19), (22), (384), (391), (455), (469), (487), (493),
% 71.23/10.49  | | | | | | |            (501), (1257), (1265), (1888), (1889), (3123) are
% 71.23/10.49  | | | | | | |            inconsistent by sub-proof #209.
% 71.23/10.49  | | | | | | | 
% 71.23/10.49  | | | | | | End of split
% 71.23/10.49  | | | | | | 
% 71.23/10.49  | | | | | End of split
% 71.23/10.49  | | | | | 
% 71.23/10.49  | | | | Case 2:
% 71.23/10.49  | | | | | 
% 71.23/10.49  | | | | |   (3124)  all_6_8 = e4 | all_6_8 = e1 | all_6_8 = e0
% 71.23/10.49  | | | | | 
% 71.23/10.49  | | | | | REF_CLOSE: (443), (485), (499), (512), (3124) are inconsistent by
% 71.23/10.49  | | | | |            sub-proof #208.
% 71.23/10.49  | | | | | 
% 71.23/10.49  | | | | End of split
% 71.23/10.49  | | | | 
% 71.23/10.49  | | | End of split
% 71.23/10.49  | | | 
% 71.23/10.49  | | End of split
% 71.23/10.49  | | 
% 71.23/10.49  | End of split
% 71.23/10.49  | 
% 71.23/10.49  End of proof
% 71.23/10.49  
% 71.23/10.49  Sub-proof #1 shows that the following formulas are inconsistent:
% 71.23/10.49  ----------------------------------------------------------------
% 71.23/10.50    (1)  all_6_2 = all_4_10
% 71.23/10.50    (2)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 71.23/10.50    (3)  all_8_21 = e3
% 71.23/10.50    (4)   ~ (all_4_10 = e0)
% 71.23/10.50    (5)   ~ (all_4_10 = e4)
% 71.23/10.50    (6)   ~ (all_4_10 = e3)
% 71.23/10.50    (7)  all_10_24 = all_4_24
% 71.23/10.50    (8)  all_10_24 = e1
% 71.23/10.50    (9)  all_8_23 = all_4_19
% 71.23/10.50    (10)  all_8_22 = all_4_14
% 71.23/10.50    (11)  all_8_20 = all_4_4
% 71.23/10.50    (12)   ~ (all_4_10 = all_4_14)
% 71.23/10.50    (13)   ~ (all_4_10 = e1)
% 71.23/10.50    (14)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 71.23/10.50          = e2
% 71.23/10.50    (15)  all_8_24 = all_4_24
% 71.23/10.50    (16)   ~ (all_4_4 = e2)
% 71.23/10.50    (17)   ~ (all_4_19 = e2)
% 71.23/10.50  
% 71.23/10.50  Begin of proof
% 71.23/10.50  | 
% 71.23/10.50  | COMBINE_EQS: (7), (8) imply:
% 71.23/10.50  |   (18)  all_4_24 = e1
% 71.23/10.50  | 
% 71.23/10.50  | SIMP: (18) implies:
% 71.23/10.50  |   (19)  all_4_24 = e1
% 71.23/10.50  | 
% 71.23/10.50  | COMBINE_EQS: (15), (19) imply:
% 71.23/10.50  |   (20)  all_8_24 = e1
% 71.23/10.50  | 
% 71.23/10.50  | BETA: splitting (14) gives:
% 71.23/10.50  | 
% 71.23/10.50  | Case 1:
% 71.23/10.50  | | 
% 71.23/10.50  | |   (21)  all_8_20 = e2
% 71.23/10.50  | | 
% 71.23/10.50  | | COMBINE_EQS: (11), (21) imply:
% 71.23/10.50  | |   (22)  all_4_4 = e2
% 71.23/10.50  | | 
% 71.23/10.50  | | SIMP: (22) implies:
% 71.23/10.50  | |   (23)  all_4_4 = e2
% 71.23/10.50  | | 
% 71.23/10.50  | | REDUCE: (16), (23) imply:
% 71.23/10.50  | |   (24)  $false
% 71.23/10.50  | | 
% 71.23/10.50  | | CLOSE: (24) is inconsistent.
% 71.23/10.50  | | 
% 71.23/10.50  | Case 2:
% 71.23/10.50  | | 
% 71.23/10.50  | |   (25)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 71.23/10.50  | | 
% 71.23/10.50  | | BETA: splitting (2) gives:
% 71.23/10.50  | | 
% 71.23/10.50  | | Case 1:
% 71.23/10.50  | | | 
% 71.23/10.50  | | |   (26)  all_6_2 = e2
% 71.23/10.50  | | | 
% 71.23/10.50  | | | COMBINE_EQS: (1), (26) imply:
% 71.23/10.50  | | |   (27)  all_4_10 = e2
% 71.23/10.50  | | | 
% 71.23/10.50  | | | SIMP: (27) implies:
% 71.23/10.50  | | |   (28)  all_4_10 = e2
% 71.23/10.50  | | | 
% 71.23/10.50  | | | REDUCE: (12), (28) imply:
% 71.23/10.50  | | |   (29)   ~ (all_4_14 = e2)
% 71.23/10.50  | | | 
% 71.23/10.50  | | | SIMP: (29) implies:
% 71.23/10.50  | | |   (30)   ~ (all_4_14 = e2)
% 71.23/10.50  | | | 
% 71.23/10.50  | | | REDUCE: (6), (28) imply:
% 71.23/10.50  | | |   (31)   ~ (e3 = e2)
% 71.23/10.50  | | | 
% 71.23/10.50  | | | SIMP: (31) implies:
% 71.23/10.50  | | |   (32)   ~ (e3 = e2)
% 71.23/10.50  | | | 
% 71.23/10.50  | | | REDUCE: (13), (28) imply:
% 71.23/10.50  | | |   (33)   ~ (e2 = e1)
% 71.23/10.50  | | | 
% 71.23/10.50  | | | REF_CLOSE: (3), (9), (10), (17), (20), (25), (30), (32), (33) are
% 71.23/10.50  | | |            inconsistent by sub-proof #5.
% 71.23/10.50  | | | 
% 71.23/10.50  | | Case 2:
% 71.23/10.50  | | | 
% 71.23/10.50  | | |   (34)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 71.23/10.50  | | | 
% 71.23/10.50  | | | REF_CLOSE: (1), (4), (5), (13), (34) are inconsistent by sub-proof #126.
% 71.23/10.50  | | | 
% 71.23/10.50  | | End of split
% 71.23/10.50  | | 
% 71.23/10.50  | End of split
% 71.23/10.50  | 
% 71.23/10.50  End of proof
% 71.23/10.50  
% 71.23/10.50  Sub-proof #2 shows that the following formulas are inconsistent:
% 71.23/10.50  ----------------------------------------------------------------
% 71.23/10.50    (1)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 71.23/10.50    (2)   ~ (all_4_20 = e2)
% 71.23/10.50    (3)  all_10_24 = all_4_24
% 71.23/10.50    (4)  all_10_24 = e1
% 71.23/10.50    (5)   ~ (all_4_20 = e4)
% 71.23/10.50    (6)   ~ (all_4_20 = all_4_24)
% 71.23/10.50    (7)  all_6_4 = all_4_20
% 71.23/10.50    (8)   ~ (all_4_20 = e0)
% 71.23/10.50  
% 71.23/10.50  Begin of proof
% 71.23/10.50  | 
% 71.23/10.50  | COMBINE_EQS: (3), (4) imply:
% 71.23/10.50  |   (9)  all_4_24 = e1
% 71.23/10.50  | 
% 71.23/10.50  | SIMP: (9) implies:
% 71.23/10.50  |   (10)  all_4_24 = e1
% 71.23/10.50  | 
% 71.23/10.50  | REDUCE: (6), (10) imply:
% 71.23/10.50  |   (11)   ~ (all_4_20 = e1)
% 71.23/10.50  | 
% 71.23/10.50  | REF_CLOSE: (1), (2), (5), (7), (8), (11) are inconsistent by sub-proof #215.
% 71.23/10.50  | 
% 71.23/10.50  End of proof
% 71.23/10.50  
% 71.23/10.50  Sub-proof #3 shows that the following formulas are inconsistent:
% 71.23/10.50  ----------------------------------------------------------------
% 71.23/10.50    (1)   ~ (all_4_0 = e3)
% 71.23/10.50    (2)  all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0
% 71.23/10.50    (3)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 71.23/10.50    (4)  all_10_6 = e4
% 71.23/10.50    (5)   ~ (all_4_5 = e1)
% 71.23/10.50    (6)  all_6_2 = all_4_10
% 71.23/10.50    (7)  all_10_16 = all_4_8
% 71.23/10.50    (8)   ~ (e3 = e1)
% 71.23/10.50    (9)   ~ (all_4_7 = all_4_22)
% 71.23/10.50    (10)   ~ (all_4_10 = all_4_20)
% 71.23/10.50    (11)  all_8_4 = all_4_10
% 71.23/10.50    (12)  all_8_14 = all_4_13
% 71.23/10.50    (13)  all_8_21 = e3
% 71.23/10.50    (14)  all_10_15 = all_4_3
% 71.23/10.50    (15)  all_8_13 = all_4_8
% 71.23/10.50    (16)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 71.23/10.50            all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4
% 71.23/10.50            &  ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.23/10.50            (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.23/10.50              e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 71.23/10.50          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 71.23/10.50            all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 =
% 71.23/10.50            e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.23/10.50            (all_10_11 = e2)) | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.23/10.50              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) |
% 71.23/10.50          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.23/10.50            all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 =
% 71.23/10.50            e2 &  ~ (all_10_13 = e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.23/10.50            (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 =
% 71.23/10.50              e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.23/10.50          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 =
% 71.23/10.50            e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.23/10.50    (17)   ~ (all_4_24 = e0)
% 71.23/10.50    (18)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 71.23/10.50          = e0
% 71.23/10.50    (19)   ~ (all_4_0 = all_4_4)
% 71.23/10.50    (20)   ~ (all_4_13 = e1)
% 71.23/10.50    (21)   ~ (all_4_10 = e3)
% 71.23/10.50    (22)  all_10_14 = all_4_22
% 71.23/10.50    (23)  all_6_1 = all_4_5
% 71.23/10.50    (24)   ~ (all_4_5 = e4)
% 71.23/10.50    (25)  all_6_11 = all_4_7
% 71.23/10.50    (26)   ~ (e4 = e0)
% 71.23/10.50    (27)   ~ (all_4_7 = e4)
% 71.23/10.50    (28)  all_10_24 = all_4_24
% 71.23/10.50    (29)   ~ (all_4_0 = all_4_10)
% 71.23/10.50    (30)  all_8_9 = e3
% 71.23/10.50    (31)   ~ (all_4_20 = e3)
% 71.23/10.50    (32)  all_10_0 = all_4_0
% 71.23/10.50    (33)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 71.23/10.50          = e1
% 71.23/10.50    (34)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 71.42/10.50    (35)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.42/10.50                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.42/10.50                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.42/10.50                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.42/10.50                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.42/10.50                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.42/10.50              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.42/10.50                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.42/10.50                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.42/10.50              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.50              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.50              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.50              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.42/10.50              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.42/10.50              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.42/10.50              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.42/10.50              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.42/10.50              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.42/10.50                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.42/10.50            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.50              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.50              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.42/10.50              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.42/10.50                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.42/10.50                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.42/10.50                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.42/10.50                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.42/10.50            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.42/10.50              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.42/10.50                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.42/10.50                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.42/10.50                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.42/10.50              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.50              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.50              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.50              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.50              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.42/10.50              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.42/10.50              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.42/10.50              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.42/10.50              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.42/10.50                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.42/10.50            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.50              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.42/10.50              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.42/10.50                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.42/10.50              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.42/10.50                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.42/10.50            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.50              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.42/10.50                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.42/10.50                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.42/10.50                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.42/10.50                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.42/10.50                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.42/10.50                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.42/10.50              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.42/10.50              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.42/10.50              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.42/10.50                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.42/10.50            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.42/10.50              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.50              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.50              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.42/10.50              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.42/10.50              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.42/10.50              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.42/10.50                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.42/10.50                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.42/10.50              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.42/10.50                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.42/10.50              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.42/10.50                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.42/10.50            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.42/10.50              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.42/10.50              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.42/10.50              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.42/10.50              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.42/10.50                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.42/10.50            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.50              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.42/10.50              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.42/10.50              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.42/10.50                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.42/10.50                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.42/10.50                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.42/10.50                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.42/10.50              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.42/10.50                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.42/10.50                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.42/10.50              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.42/10.50              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.42/10.50              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.42/10.50              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.42/10.50              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.42/10.50                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.42/10.50            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.50              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.42/10.50    (36)  all_8_15 = e0
% 71.42/10.50    (37)  all_10_23 = all_4_19
% 71.42/10.50    (38)  all_8_8 = e3
% 71.42/10.50    (39)  all_8_19 = e3
% 71.42/10.50    (40)   ~ (e3 = e0)
% 71.42/10.50    (41)  all_10_4 = all_4_20
% 71.42/10.50    (42)   ~ (all_4_20 = all_4_24)
% 71.42/10.50    (43)  all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 71.42/10.50    (44)  all_8_23 = all_4_19
% 71.42/10.50    (45)  all_8_22 = all_4_14
% 71.42/10.50    (46)   ~ (all_4_0 = all_4_5)
% 71.42/10.50    (47)   ~ (all_4_10 = all_4_14)
% 71.42/10.50    (48)   ~ (all_4_5 = all_4_20)
% 71.42/10.50    (49)  all_8_16 = all_4_20
% 71.42/10.50    (50)   ~ (all_4_19 = e0)
% 71.42/10.50    (51)  all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22 =
% 71.42/10.50          e4
% 71.42/10.50    (52)  all_10_5 = e3
% 71.42/10.50    (53)   ~ (all_4_20 = all_4_22)
% 71.42/10.50    (54)   ~ (all_4_24 = e3)
% 71.42/10.50    (55)   ~ (all_4_7 = e3)
% 71.42/10.50    (56)  all_6_14 = all_4_22
% 71.42/10.50    (57)   ~ (all_4_0 = all_4_20)
% 71.42/10.50    (58)   ~ (e4 = e3)
% 71.42/10.50    (59)  all_6_4 = all_4_20
% 71.42/10.50    (60)  all_8_0 = all_4_0
% 71.42/10.50    (61)   ~ (all_4_13 = e4)
% 71.42/10.50    (62)  all_8_1 = all_4_5
% 71.42/10.50    (63)   ~ (e1 = e0)
% 71.42/10.50    (64)  all_10_11 = all_4_7
% 71.42/10.50    (65)  all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 =
% 71.42/10.50          e0
% 71.42/10.50    (66)   ~ (all_4_10 = e1)
% 71.42/10.50    (67)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 71.42/10.50          = e2
% 71.42/10.50    (68)   ~ (all_4_5 = all_4_7)
% 71.42/10.50    (69)  all_8_24 = all_4_24
% 71.42/10.50    (70)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 71.42/10.50    (71)   ~ (all_4_13 = e3)
% 71.42/10.50    (72)   ~ (all_4_5 = all_4_10)
% 71.42/10.50    (73)   ~ (all_4_13 = all_4_14)
% 71.42/10.50    (74)  all_8_12 = all_4_3
% 71.42/10.50    (75)  all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 =
% 71.42/10.50          e1
% 71.42/10.50    (76)  all_10_2 = all_4_10
% 71.42/10.50    (77)   ~ (all_4_20 = e0)
% 71.42/10.50    (78)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 71.42/10.50    (79)  all_10_20 = all_4_4
% 71.42/10.50    (80)   ~ (all_4_10 = all_4_13)
% 71.42/10.50    (81)  all_10_18 = e0
% 71.42/10.50    (82)  all_8_5 = e1
% 71.42/10.50    (83)   ~ (all_4_7 = e1)
% 71.42/10.50    (84)  all_10_19 = e3
% 71.42/10.50    (85)   ~ (e4 = e1)
% 71.42/10.50    (86)   ~ (all_4_13 = e0)
% 71.42/10.50    (87)   ~ (all_4_19 = e2)
% 71.42/10.50    (88)  all_6_17 = all_4_13
% 71.42/10.50    (89)  all_10_1 = all_4_5
% 71.42/10.50    (90)  all_10_3 = e3
% 71.42/10.50    (91)  all_10_12 = e3
% 71.42/10.50    (92)   ~ (all_4_22 = all_4_24)
% 71.42/10.50  
% 71.42/10.50  Begin of proof
% 71.42/10.50  | 
% 71.42/10.50  | BETA: splitting (2) gives:
% 71.42/10.50  | 
% 71.42/10.50  | Case 1:
% 71.42/10.50  | | 
% 71.42/10.50  | |   (93)  all_6_17 = e2
% 71.42/10.50  | | 
% 71.42/10.50  | | COMBINE_EQS: (88), (93) imply:
% 71.42/10.50  | |   (94)  all_4_13 = e2
% 71.42/10.50  | | 
% 71.42/10.50  | | SIMP: (94) implies:
% 71.42/10.50  | |   (95)  all_4_13 = e2
% 71.42/10.50  | | 
% 71.42/10.50  | | COMBINE_EQS: (12), (95) imply:
% 71.42/10.50  | |   (96)  all_8_14 = e2
% 71.42/10.50  | | 
% 71.42/10.50  | | REDUCE: (80), (95) imply:
% 71.42/10.50  | |   (97)   ~ (all_4_10 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | REDUCE: (73), (95) imply:
% 71.42/10.50  | |   (98)   ~ (all_4_14 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | SIMP: (98) implies:
% 71.42/10.50  | |   (99)   ~ (all_4_14 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | REDUCE: (61), (95) imply:
% 71.42/10.50  | |   (100)   ~ (e4 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | SIMP: (100) implies:
% 71.42/10.50  | |   (101)   ~ (e4 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | REDUCE: (71), (95) imply:
% 71.42/10.50  | |   (102)   ~ (e3 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | SIMP: (102) implies:
% 71.42/10.50  | |   (103)   ~ (e3 = e2)
% 71.42/10.50  | | 
% 71.42/10.50  | | REDUCE: (20), (95) imply:
% 71.42/10.50  | |   (104)   ~ (e2 = e1)
% 71.42/10.50  | | 
% 71.42/10.50  | | REDUCE: (86), (95) imply:
% 71.42/10.50  | |   (105)   ~ (e2 = e0)
% 71.42/10.50  | | 
% 71.42/10.50  | | BETA: splitting (34) gives:
% 71.42/10.50  | | 
% 71.42/10.50  | | Case 1:
% 71.42/10.50  | | | 
% 71.42/10.50  | | |   (106)  all_6_2 = e3
% 71.42/10.50  | | | 
% 71.42/10.50  | | | REF_CLOSE: (6), (21), (106) are inconsistent by sub-proof #144.
% 71.42/10.50  | | | 
% 71.42/10.50  | | Case 2:
% 71.42/10.50  | | | 
% 71.42/10.50  | | |   (107)   ~ (all_6_2 = e3)
% 71.42/10.50  | | |   (108)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 71.42/10.50  | | | 
% 71.42/10.50  | | | BETA: splitting (51) gives:
% 71.42/10.50  | | | 
% 71.42/10.50  | | | Case 1:
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | |   (109)  all_8_4 = e4
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | | COMBINE_EQS: (11), (109) imply:
% 71.42/10.50  | | | |   (110)  all_4_10 = e4
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | | COMBINE_EQS: (76), (110) imply:
% 71.42/10.50  | | | |   (111)  all_10_2 = e4
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | | REDUCE: (10), (110) imply:
% 71.42/10.50  | | | |   (112)   ~ (all_4_20 = e4)
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | | SIMP: (112) implies:
% 71.42/10.50  | | | |   (113)   ~ (all_4_20 = e4)
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | | BETA: splitting (75) gives:
% 71.42/10.50  | | | | 
% 71.42/10.50  | | | | Case 1:
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | |   (114)  all_8_0 = e1
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | COMBINE_EQS: (60), (114) imply:
% 71.42/10.50  | | | | |   (115)  all_4_0 = e1
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | COMBINE_EQS: (32), (115) imply:
% 71.42/10.50  | | | | |   (116)  all_10_0 = e1
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | REDUCE: (46), (115) imply:
% 71.42/10.50  | | | | |   (117)   ~ (all_4_5 = e1)
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | REDUCE: (57), (115) imply:
% 71.42/10.50  | | | | |   (118)   ~ (all_4_20 = e1)
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | SIMP: (118) implies:
% 71.42/10.50  | | | | |   (119)   ~ (all_4_20 = e1)
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | REDUCE: (1), (115) imply:
% 71.42/10.50  | | | | |   (120)   ~ (e3 = e1)
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | BETA: splitting (65) gives:
% 71.42/10.50  | | | | | 
% 71.42/10.50  | | | | | Case 1:
% 71.42/10.50  | | | | | | 
% 71.42/10.50  | | | | | |   (121)  all_8_0 = e0
% 71.42/10.50  | | | | | | 
% 71.42/10.50  | | | | | | COMBINE_EQS: (114), (121) imply:
% 71.42/10.50  | | | | | |   (122)  e1 = e0
% 71.42/10.50  | | | | | | 
% 71.42/10.51  | | | | | | REDUCE: (63), (122) imply:
% 71.42/10.51  | | | | | |   (123)  $false
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | CLOSE: (123) is inconsistent.
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | Case 2:
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | |   (124)   ~ (all_8_0 = e0)
% 71.42/10.51  | | | | | |   (125)  all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | BETA: splitting (3) gives:
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | Case 1:
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | |   (126)  all_6_4 = e2
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | COMBINE_EQS: (59), (126) imply:
% 71.42/10.51  | | | | | | |   (127)  all_4_20 = e2
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | SIMP: (127) implies:
% 71.42/10.51  | | | | | | |   (128)  all_4_20 = e2
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | COMBINE_EQS: (41), (128) imply:
% 71.42/10.51  | | | | | | |   (129)  all_10_4 = e2
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | REDUCE: (48), (128) imply:
% 71.42/10.51  | | | | | | |   (130)   ~ (all_4_5 = e2)
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | BETA: splitting (35) gives:
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | |   (131)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1
% 71.42/10.51  | | | | | | | |                = e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit
% 71.42/10.51  | | | | | | | |                = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5
% 71.42/10.51  | | | | | | | |                = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 71.42/10.51  | | | | | | | |              (all_10_5 = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 =
% 71.42/10.51  | | | | | | | |                e4) | (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11
% 71.42/10.51  | | | | | | | |                = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 71.42/10.51  | | | | | | | |              (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15
% 71.42/10.51  | | | | | | | |                = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.42/10.51  | | | | | | | |              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17
% 71.42/10.51  | | | | | | | |                = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 71.42/10.51  | | | | | | | |              (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 =
% 71.42/10.51  | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 71.42/10.51  | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23
% 71.42/10.51  | | | | | | | |                = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e4)))) | (( ~ (all_10_0 = e3) | (all_10_1 = e4
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~
% 71.42/10.51  | | | | | | | |              (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.42/10.51  | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 =
% 71.42/10.51  | | | | | | | |                e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 71.42/10.51  | | | | | | | |              (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11
% 71.42/10.51  | | | | | | | |                = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 71.42/10.51  | | | | | | | |              (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13
% 71.42/10.51  | | | | | | | |                = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |  ~
% 71.42/10.51  | | | | | | | |              (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 =
% 71.42/10.51  | | | | | | | |                e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.42/10.51  | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19
% 71.42/10.51  | | | | | | | |                = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 71.42/10.51  | | | | | | | |              (all_10_21 = e0 &  ~ (unit = e3))))
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | BETA: splitting (131) gives:
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | |   (132)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1
% 71.42/10.51  | | | | | | | | |              = e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4)))
% 71.42/10.51  | | | | | | | | |          & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 & 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit
% 71.42/10.51  | | | | | | | | |              = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5
% 71.42/10.51  | | | | | | | | |              = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 71.42/10.51  | | | | | | | | |            (all_10_5 = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 =
% 71.42/10.51  | | | | | | | | |              e4) | (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11
% 71.42/10.51  | | | | | | | | |              = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1
% 71.42/10.51  | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 71.42/10.51  | | | | | | | | |            (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15
% 71.42/10.51  | | | | | | | | |              = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.42/10.51  | | | | | | | | |            (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17
% 71.42/10.51  | | | | | | | | |              = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0
% 71.42/10.51  | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 71.42/10.51  | | | | | | | | |            (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 =
% 71.42/10.51  | | | | | | | | |              e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 71.42/10.51  | | | | | | | | |            (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23
% 71.42/10.51  | | | | | | | | |              = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e4)))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | ALPHA: (132) implies:
% 71.42/10.51  | | | | | | | | |   (133)   ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | BETA: splitting (133) gives:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | |   (134)   ~ (all_10_2 = e4)
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | REDUCE: (111), (134) imply:
% 71.42/10.51  | | | | | | | | | |   (135)  $false
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | CLOSE: (135) is inconsistent.
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | |   (136)  all_10_0 = e2 &  ~ (unit = e4)
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | ALPHA: (136) implies:
% 71.42/10.51  | | | | | | | | | |   (137)  all_10_0 = e2
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | REF_CLOSE: (104), (116), (137) are inconsistent by sub-proof
% 71.42/10.51  | | | | | | | | | |            #167.
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | |   (138)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3)) &
% 71.42/10.51  | | | | | | | | |          ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 & 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1
% 71.42/10.51  | | | | | | | | |              = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 71.42/10.51  | | | | | | | | |            (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 =
% 71.42/10.51  | | | | | | | | |              e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.42/10.51  | | | | | | | | |            (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 =
% 71.42/10.51  | | | | | | | | |              e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3)))
% 71.42/10.51  | | | | | | | | |          & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3))
% 71.42/10.51  | | | | | | | | |          & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1
% 71.42/10.51  | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 71.42/10.51  | | | | | | | | |            (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15
% 71.42/10.51  | | | | | | | | |              = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17
% 71.42/10.51  | | | | | | | | |              = e3) | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0
% 71.42/10.51  | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.42/10.51  | | | | | | | | |            (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21
% 71.42/10.51  | | | | | | | | |              = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 71.42/10.51  | | | | | | | | |            (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23
% 71.42/10.51  | | | | | | | | |              = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e3)))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | ALPHA: (138) implies:
% 71.42/10.51  | | | | | | | | |   (139)   ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | BETA: splitting (78) gives:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | |   (140)  all_6_1 = e2
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | REF_CLOSE: (23), (130), (140) are inconsistent by sub-proof
% 71.42/10.51  | | | | | | | | | |            #229.
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | |   (141)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | BETA: splitting (125) gives:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | |   (142)  all_8_1 = e0
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | COMBINE_EQS: (62), (142) imply:
% 71.42/10.51  | | | | | | | | | | |   (143)  all_4_5 = e0
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | COMBINE_EQS: (89), (143) imply:
% 71.42/10.51  | | | | | | | | | | |   (144)  all_10_1 = e0
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | REDUCE: (5), (143) imply:
% 71.42/10.51  | | | | | | | | | | |   (145)   ~ (e1 = e0)
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | BETA: splitting (139) gives:
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | |   (146)   ~ (all_10_3 = e3)
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | REDUCE: (90), (146) imply:
% 71.42/10.51  | | | | | | | | | | | |   (147)  $false
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | CLOSE: (147) is inconsistent.
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | |   (148)  all_10_1 = e1 &  ~ (unit = e3)
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | ALPHA: (148) implies:
% 71.42/10.51  | | | | | | | | | | | |   (149)  all_10_1 = e1
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | COMBINE_EQS: (144), (149) imply:
% 71.42/10.51  | | | | | | | | | | | |   (150)  e1 = e0
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | SIMP: (150) implies:
% 71.42/10.51  | | | | | | | | | | | |   (151)  e1 = e0
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | REDUCE: (63), (151) imply:
% 71.42/10.51  | | | | | | | | | | | |   (152)  $false
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 71.42/10.51  | | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | |   (153)   ~ (all_8_1 = e0)
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | REDUCE: (62), (153) imply:
% 71.42/10.51  | | | | | | | | | | |   (154)   ~ (all_4_5 = e0)
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | | REF_CLOSE: (5), (23), (24), (141), (154) are inconsistent by
% 71.42/10.51  | | | | | | | | | | |            sub-proof #227.
% 71.42/10.51  | | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | |   (155)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~ (unit
% 71.42/10.51  | | | | | | | |                = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_2
% 71.42/10.51  | | | | | | | |                = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.42/10.51  | | | | | | | |              (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 =
% 71.42/10.51  | | | | | | | |                e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 71.42/10.51  | | | | | | | |                e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~
% 71.42/10.51  | | | | | | | |              (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 71.42/10.51  | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 71.42/10.51  | | | | | | | |              (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15
% 71.42/10.51  | | | | | | | |                = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.42/10.51  | | | | | | | |              (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21
% 71.42/10.51  | | | | | | | |                = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23
% 71.42/10.51  | | | | | | | |                = e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) |
% 71.42/10.51  | | | | | | | |              (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 =
% 71.42/10.51  | | | | | | | |                e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 =
% 71.42/10.51  | | | | | | | |                e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit
% 71.42/10.51  | | | | | | | |                = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.42/10.51  | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11
% 71.42/10.51  | | | | | | | |                = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.42/10.51  | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17
% 71.42/10.51  | | | | | | | |                = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19
% 71.42/10.51  | | | | | | | |                = e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 71.42/10.51  | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23
% 71.42/10.51  | | | | | | | |                = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.42/10.51  | | | | | | | |              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 71.42/10.51  | | | | | | | |              (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.42/10.51  | | | | | | | |                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4
% 71.42/10.51  | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) | 
% 71.42/10.51  | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 =
% 71.42/10.51  | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.42/10.51  | | | | | | | |              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 =
% 71.42/10.51  | | | | | | | |                e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0)))
% 71.42/10.51  | | | | | | | |            & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.42/10.51  | | | | | | | |              (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13
% 71.42/10.51  | | | | | | | |                = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15
% 71.42/10.51  | | | | | | | |                = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.42/10.51  | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19
% 71.42/10.51  | | | | | | | |                = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.42/10.51  | | | | | | | |              (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21
% 71.42/10.51  | | | | | | | |                = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | |                  e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1
% 71.42/10.51  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 71.42/10.51  | | | | | | | |              (unit = e0)))
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | BETA: splitting (155) gives:
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | |   (156)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3 & 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~ (unit
% 71.42/10.51  | | | | | | | | |              = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 & 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_2
% 71.42/10.51  | | | | | | | | |              = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.42/10.51  | | | | | | | | |            (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 =
% 71.42/10.51  | | | | | | | | |              e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 71.42/10.51  | | | | | | | | |              e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2)))
% 71.42/10.51  | | | | | | | | |          & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3
% 71.42/10.51  | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~
% 71.42/10.51  | | | | | | | | |            (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 71.42/10.51  | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 71.42/10.51  | | | | | | | | |            (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15
% 71.42/10.51  | | | | | | | | |              = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 71.42/10.51  | | | | | | | | |          & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0
% 71.42/10.51  | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.42/10.51  | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21
% 71.42/10.51  | | | | | | | | |              = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23
% 71.42/10.51  | | | | | | | | |              = e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 71.42/10.51  | | | | | | | | |            (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e2)))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | ALPHA: (156) implies:
% 71.42/10.51  | | | | | | | | |   (157)   ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | BETA: splitting (157) gives:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | |   (158)   ~ (all_10_4 = e2)
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | REDUCE: (129), (158) imply:
% 71.42/10.51  | | | | | | | | | |   (159)  $false
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | CLOSE: (159) is inconsistent.
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | |   (160)  all_10_2 = e0 &  ~ (unit = e2)
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | ALPHA: (160) implies:
% 71.42/10.51  | | | | | | | | | |   (161)  all_10_2 = e0
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | COMBINE_EQS: (111), (161) imply:
% 71.42/10.51  | | | | | | | | | |   (162)  e4 = e0
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | REDUCE: (26), (162) imply:
% 71.42/10.51  | | | | | | | | | |   (163)  $false
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | | CLOSE: (163) is inconsistent.
% 71.42/10.51  | | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | |   (164)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 71.42/10.51  | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 71.42/10.51  | | | | | | | | |              (all_10_3 = e2 &  ~ (unit = e1))) & ( ~ (all_10_3
% 71.42/10.51  | | | | | | | | |                = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 71.42/10.51  | | | | | | | | |              (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.42/10.51  | | | | | | | | |                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2
% 71.42/10.51  | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 71.42/10.51  | | | | | | | | |              (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 =
% 71.42/10.51  | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.42/10.51  | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 71.42/10.51  | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) | 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.42/10.51  | | | | | | | | |              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 71.42/10.51  | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.42/10.51  | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 71.42/10.51  | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 71.42/10.51  | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &
% 71.42/10.51  | | | | | | | | |                 ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.42/10.51  | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1
% 71.42/10.51  | | | | | | | | |                = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1
% 71.42/10.51  | | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~
% 71.42/10.51  | | | | | | | | |              (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 =
% 71.42/10.51  | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.42/10.51  | | | | | | | | |              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7
% 71.42/10.51  | | | | | | | | |                = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0))
% 71.42/10.51  | | | | | | | | |            & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit
% 71.42/10.51  | | | | | | | | |                  = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 =
% 71.42/10.51  | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.42/10.51  | | | | | | | | |              (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e0))) & ( ~ (all_10_14 = e0) |  ~ (unit =
% 71.42/10.51  | | | | | | | | |                e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4 &
% 71.42/10.51  | | | | | | | | |                 ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.42/10.51  | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e0))) & ( ~ (all_10_18 = e0) | (all_10_19 =
% 71.42/10.51  | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) | 
% 71.42/10.51  | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.42/10.51  | | | | | | | | |              (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 71.42/10.51  | | | | | | | | |                  e0))) & ( ~ (all_10_22 = e0) | (all_10_24 =
% 71.42/10.51  | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 71.42/10.51  | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.51  | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | | REF_CLOSE: (7), (8), (12), (14), (15), (20), (26), (33), (36),
% 71.42/10.51  | | | | | | | | |            (39), (40), (63), (74), (81), (84), (164) are
% 71.42/10.51  | | | | | | | | |            inconsistent by sub-proof #9.
% 71.42/10.51  | | | | | | | | | 
% 71.42/10.51  | | | | | | | | End of split
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | End of split
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | Case 2:
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | |   (165)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | REF_CLOSE: (59), (77), (113), (119), (165) are inconsistent by
% 71.42/10.51  | | | | | | |            sub-proof #216.
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | End of split
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | End of split
% 71.42/10.51  | | | | | 
% 71.42/10.51  | | | | Case 2:
% 71.42/10.51  | | | | | 
% 71.42/10.51  | | | | |   (166)  all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 71.42/10.51  | | | | | 
% 71.42/10.51  | | | | | BETA: splitting (166) gives:
% 71.42/10.51  | | | | | 
% 71.42/10.51  | | | | | Case 1:
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | |   (167)  all_8_1 = e1
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | COMBINE_EQS: (62), (167) imply:
% 71.42/10.51  | | | | | |   (168)  all_4_5 = e1
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | REDUCE: (5), (168) imply:
% 71.42/10.51  | | | | | |   (169)  $false
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | CLOSE: (169) is inconsistent.
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | Case 2:
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | |   (170)  all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | BETA: splitting (170) gives:
% 71.42/10.51  | | | | | | 
% 71.42/10.51  | | | | | | Case 1:
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | |   (171)  all_8_4 = e1
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | COMBINE_EQS: (109), (171) imply:
% 71.42/10.51  | | | | | | |   (172)  e4 = e1
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | SIMP: (172) implies:
% 71.42/10.51  | | | | | | |   (173)  e4 = e1
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | REDUCE: (85), (173) imply:
% 71.42/10.51  | | | | | | |   (174)  $false
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | CLOSE: (174) is inconsistent.
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | Case 2:
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | |   (175)  all_8_9 = e1 | all_8_16 = e1
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | BETA: splitting (175) gives:
% 71.42/10.51  | | | | | | | 
% 71.42/10.51  | | | | | | | Case 1:
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | |   (176)  all_8_9 = e1
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | COMBINE_EQS: (30), (176) imply:
% 71.42/10.51  | | | | | | | |   (177)  e3 = e1
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | SIMP: (177) implies:
% 71.42/10.51  | | | | | | | |   (178)  e3 = e1
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | REDUCE: (8), (178) imply:
% 71.42/10.51  | | | | | | | |   (179)  $false
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | CLOSE: (179) is inconsistent.
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | Case 2:
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | |   (180)  all_8_16 = e1
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | COMBINE_EQS: (49), (180) imply:
% 71.42/10.51  | | | | | | | |   (181)  all_4_20 = e1
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | SIMP: (181) implies:
% 71.42/10.51  | | | | | | | |   (182)  all_4_20 = e1
% 71.42/10.51  | | | | | | | | 
% 71.42/10.51  | | | | | | | | REDUCE: (57), (182) imply:
% 71.42/10.52  | | | | | | | |   (183)   ~ (all_4_0 = e1)
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | REDUCE: (53), (182) imply:
% 71.42/10.52  | | | | | | | |   (184)   ~ (all_4_22 = e1)
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | SIMP: (184) implies:
% 71.42/10.52  | | | | | | | |   (185)   ~ (all_4_22 = e1)
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | REDUCE: (42), (182) imply:
% 71.42/10.52  | | | | | | | |   (186)   ~ (all_4_24 = e1)
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | SIMP: (186) implies:
% 71.42/10.52  | | | | | | | |   (187)   ~ (all_4_24 = e1)
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | REDUCE: (31), (182) imply:
% 71.42/10.52  | | | | | | | |   (188)   ~ (e3 = e1)
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | BETA: splitting (16) gives:
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | |   (189)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4))
% 71.42/10.52  | | | | | | | | |          | (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 =
% 71.42/10.52  | | | | | | | | |              e3)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.42/10.52  | | | | | | | | |            (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4
% 71.42/10.52  | | | | | | | | |            &  ~ (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18
% 71.42/10.52  | | | | | | | | |            = e4 &  ~ (all_10_3 = e4)) | (all_10_0 = e1 &
% 71.42/10.52  | | | | | | | | |            all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 =
% 71.42/10.52  | | | | | | | | |            e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 71.42/10.52  | | | | | | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.42/10.52  | | | | | | | | |              e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.42/10.52  | | | | | | | | |            (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3
% 71.42/10.52  | | | | | | | | |            &  ~ (all_10_11 = e2))
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | BETA: splitting (189) gives:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | |   (190)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.42/10.52  | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.42/10.52  | | | | | | | | | |            e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.42/10.52  | | | | | | | | | |            all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0
% 71.42/10.52  | | | | | | | | | |            = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | REF_CLOSE: (1), (26), (32), (58), (81), (91), (190) are
% 71.42/10.52  | | | | | | | | | |            inconsistent by sub-proof #58.
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | |   (191)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.42/10.52  | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | |            e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.42/10.52  | | | | | | | | | |            all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 71.42/10.52  | | | | | | | | | |            = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | BETA: splitting (191) gives:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | |   (192)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.42/10.52  | | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.42/10.52  | | | | | | | | | | |            (all_10_4 = e4))
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | BETA: splitting (192) gives:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (193)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.42/10.52  | | | | | | | | | | | |            e1)
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | ALPHA: (193) implies:
% 71.42/10.52  | | | | | | | | | | | |   (194)  all_10_18 = e4
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (26), (81), (194) are inconsistent by sub-proof
% 71.42/10.52  | | | | | | | | | | | |            #59.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (195)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 71.42/10.52  | | | | | | | | | | | |            e4)
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | ALPHA: (195) implies:
% 71.42/10.52  | | | | | | | | | | | |   (196)  all_10_24 = e4
% 71.42/10.52  | | | | | | | | | | | |   (197)  all_10_0 = e0
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (9), (12), (14), (15), (17),
% 71.42/10.52  | | | | | | | | | | | |            (18), (19), (20), (22), (23), (24), (25), (27),
% 71.42/10.52  | | | | | | | | | | | |            (28), (32), (33), (35), (36), (39), (46), (55),
% 71.42/10.52  | | | | | | | | | | | |            (56), (64), (68), (70), (74), (78), (79), (81),
% 71.42/10.52  | | | | | | | | | | | |            (83), (84), (91), (92), (183), (185), (196), (197)
% 71.42/10.52  | | | | | | | | | | | |            are inconsistent by sub-proof #6.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | |   (198)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.42/10.52  | | | | | | | | | | |              e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | |            (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 71.42/10.52  | | | | | | | | | | |            e3 &  ~ (all_10_11 = e2))
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | BETA: splitting (198) gives:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (199)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.42/10.52  | | | | | | | | | | | |            e0)
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | ALPHA: (199) implies:
% 71.42/10.52  | | | | | | | | | | | |   (200)  all_10_24 = e4
% 71.42/10.52  | | | | | | | | | | | |   (201)  all_10_0 = e0
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (1), (5), (7), (8), (9), (12), (14), (15), (17),
% 71.42/10.52  | | | | | | | | | | | |            (18), (19), (20), (22), (23), (24), (25), (27),
% 71.42/10.52  | | | | | | | | | | | |            (28), (32), (33), (35), (36), (39), (46), (55),
% 71.42/10.52  | | | | | | | | | | | |            (56), (64), (68), (70), (74), (78), (79), (81),
% 71.42/10.52  | | | | | | | | | | | |            (83), (84), (91), (92), (183), (185), (200), (201)
% 71.42/10.52  | | | | | | | | | | | |            are inconsistent by sub-proof #6.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (202)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 =
% 71.42/10.52  | | | | | | | | | | | |              e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | | |            (all_10_11 = e2))
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (4), (101), (202) are inconsistent by sub-proof
% 71.42/10.52  | | | | | | | | | | | |            #57.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | |   (203)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3))
% 71.42/10.52  | | | | | | | | |          | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 =
% 71.42/10.52  | | | | | | | | |              e1)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.42/10.52  | | | | | | | | |            (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3
% 71.42/10.52  | | | | | | | | |            &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 71.42/10.52  | | | | | | | | |            all_10_18 = e2 &  ~ (all_10_13 = e2)) | (all_10_12
% 71.42/10.52  | | | | | | | | |            = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 71.42/10.52  | | | | | | | | |          (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 =
% 71.42/10.52  | | | | | | | | |              e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.42/10.52  | | | | | | | | |            (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | |            e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0 &
% 71.42/10.52  | | | | | | | | |            all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | BETA: splitting (203) gives:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | |   (204)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.42/10.52  | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | |            e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.42/10.52  | | | | | | | | | |            all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.42/10.52  | | | | | | | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.42/10.52  | | | | | | | | | |              e2))
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | BETA: splitting (204) gives:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | |   (205)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.42/10.52  | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | |            (all_10_16 = e1))
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | REF_CLOSE: (40), (81), (205) are inconsistent by sub-proof
% 71.42/10.52  | | | | | | | | | | |            #195.
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | |   (206)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.42/10.52  | | | | | | | | | | |              e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | |            (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 71.42/10.52  | | | | | | | | | | |            = e2 &  ~ (all_10_13 = e2))
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (16), (26), (32), (40), (58), (81),
% 71.42/10.52  | | | | | | | | | | |            (91), (101), (105), (206) are inconsistent by
% 71.42/10.52  | | | | | | | | | | |            sub-proof #160.
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | |   (207)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.42/10.52  | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | |            e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 71.42/10.52  | | | | | | | | | |            all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.42/10.52  | | | | | | | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.42/10.52  | | | | | | | | | |              e0))
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | REF_CLOSE: (28), (40), (81), (91), (105), (187), (207) are
% 71.42/10.52  | | | | | | | | | |            inconsistent by sub-proof #43.
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | End of split
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | End of split
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | End of split
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | End of split
% 71.42/10.52  | | | | 
% 71.42/10.52  | | | Case 2:
% 71.42/10.52  | | | | 
% 71.42/10.52  | | | |   (208)   ~ (all_8_4 = e4)
% 71.42/10.52  | | | |   (209)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 71.42/10.52  | | | | 
% 71.42/10.52  | | | | REDUCE: (11), (208) imply:
% 71.42/10.52  | | | |   (210)   ~ (all_4_10 = e4)
% 71.42/10.52  | | | | 
% 71.42/10.52  | | | | BETA: splitting (209) gives:
% 71.42/10.52  | | | | 
% 71.42/10.52  | | | | Case 1:
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | |   (211)  all_8_5 = e4
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | | COMBINE_EQS: (82), (211) imply:
% 71.42/10.52  | | | | |   (212)  e4 = e1
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | | REDUCE: (85), (212) imply:
% 71.42/10.52  | | | | |   (213)  $false
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | | CLOSE: (213) is inconsistent.
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | Case 2:
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | |   (214)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | | BETA: splitting (214) gives:
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | | Case 1:
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | |   (215)  all_8_8 = e4
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | | COMBINE_EQS: (38), (215) imply:
% 71.42/10.52  | | | | | |   (216)  e4 = e3
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | | REDUCE: (58), (216) imply:
% 71.42/10.52  | | | | | |   (217)  $false
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | | CLOSE: (217) is inconsistent.
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | Case 2:
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | |   (218)   ~ (all_8_8 = e4)
% 71.42/10.52  | | | | | |   (219)  all_8_14 = e4 | all_8_22 = e4
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | | REDUCE: (38), (218) imply:
% 71.42/10.52  | | | | | |   (220)   ~ (e4 = e3)
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | | BETA: splitting (108) gives:
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | | Case 1:
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | |   (221)  all_6_2 = e2
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | | REF_CLOSE: (6), (97), (221) are inconsistent by sub-proof #129.
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | Case 2:
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | |   (222)   ~ (all_6_2 = e2)
% 71.42/10.52  | | | | | | |   (223)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | | BETA: splitting (223) gives:
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | |   (224)  all_6_2 = e1
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | REF_CLOSE: (6), (66), (224) are inconsistent by sub-proof #128.
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | |   (225)  all_6_2 = e4 | all_6_2 = e0
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | BETA: splitting (225) gives:
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | |   (226)  all_6_2 = e4
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REF_CLOSE: (6), (210), (226) are inconsistent by sub-proof
% 71.42/10.52  | | | | | | | | |            #127.
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | |   (227)  all_6_2 = e0
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | COMBINE_EQS: (6), (227) imply:
% 71.42/10.52  | | | | | | | | |   (228)  all_4_10 = e0
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | SIMP: (228) implies:
% 71.42/10.52  | | | | | | | | |   (229)  all_4_10 = e0
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | COMBINE_EQS: (76), (229) imply:
% 71.42/10.52  | | | | | | | | |   (230)  all_10_2 = e0
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REDUCE: (29), (229) imply:
% 71.42/10.52  | | | | | | | | |   (231)   ~ (all_4_0 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REDUCE: (72), (229) imply:
% 71.42/10.52  | | | | | | | | |   (232)   ~ (all_4_5 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REDUCE: (47), (229) imply:
% 71.42/10.52  | | | | | | | | |   (233)   ~ (all_4_14 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | SIMP: (233) implies:
% 71.42/10.52  | | | | | | | | |   (234)   ~ (all_4_14 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REDUCE: (210), (229) imply:
% 71.42/10.52  | | | | | | | | |   (235)   ~ (e4 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REDUCE: (21), (229) imply:
% 71.42/10.52  | | | | | | | | |   (236)   ~ (e3 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | REDUCE: (97), (229) imply:
% 71.42/10.52  | | | | | | | | |   (237)   ~ (e2 = e0)
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | BETA: splitting (16) gives:
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | |   (238)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.42/10.52  | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.42/10.52  | | | | | | | | | |            e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.42/10.52  | | | | | | | | | |            all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0
% 71.42/10.52  | | | | | | | | | |            = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 71.42/10.52  | | | | | | | | | |          (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.42/10.52  | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | |            e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.42/10.52  | | | | | | | | | |            all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 71.42/10.52  | | | | | | | | | |            = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | REF_CLOSE: (1), (4), (26), (32), (58), (81), (91), (101),
% 71.42/10.52  | | | | | | | | | |            (231), (238) are inconsistent by sub-proof #121.
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | |   (239)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.42/10.52  | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | |            e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.42/10.52  | | | | | | | | | |            all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.42/10.52  | | | | | | | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.42/10.52  | | | | | | | | | |              e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | |            e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 71.42/10.52  | | | | | | | | | |            all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.42/10.52  | | | | | | | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.42/10.52  | | | | | | | | | |              e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.42/10.52  | | | | | | | | | |            (all_10_23 = e0))
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | BETA: splitting (239) gives:
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | |   (240)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.42/10.52  | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | |            (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.42/10.52  | | | | | | | | | | |            e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.42/10.52  | | | | | | | | | | |            all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.42/10.52  | | | | | | | | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.42/10.52  | | | | | | | | | | |              e2))
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | BETA: splitting (240) gives:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (241)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.42/10.52  | | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | | |            (all_10_16 = e1))
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (40), (81), (241) are inconsistent by sub-proof
% 71.42/10.52  | | | | | | | | | | | |            #195.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (242)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.42/10.52  | | | | | | | | | | | |              e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.42/10.52  | | | | | | | | | | | |            (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 71.42/10.52  | | | | | | | | | | | |            = e2 &  ~ (all_10_13 = e2))
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (16), (26), (32), (40), (58), (81),
% 71.42/10.52  | | | | | | | | | | | |            (91), (101), (105), (242) are inconsistent by
% 71.42/10.52  | | | | | | | | | | | |            sub-proof #160.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | |   (243)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.42/10.52  | | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.42/10.52  | | | | | | | | | | |            (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24
% 71.42/10.52  | | | | | | | | | | |            = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 71.42/10.52  | | | | | | | | | | |            all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.42/10.52  | | | | | | | | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.42/10.52  | | | | | | | | | | |              e0))
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | BETA: splitting (243) gives:
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (244)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.42/10.52  | | | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.42/10.52  | | | | | | | | | | | |            (all_10_14 = e2))
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | REF_CLOSE: (40), (81), (91), (105), (244) are inconsistent by
% 71.42/10.52  | | | | | | | | | | | |            sub-proof #158.
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | |   (245)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.42/10.52  | | | | | | | | | | | |              e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.42/10.52  | | | | | | | | | | | |            (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 71.42/10.52  | | | | | | | | | | | |            = e1 &  ~ (all_10_23 = e0))
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | BETA: splitting (245) gives:
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | |   (246)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.42/10.52  | | | | | | | | | | | | |            e0)
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | ALPHA: (246) implies:
% 71.42/10.52  | | | | | | | | | | | | |   (247)  all_10_12 = e0
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | REF_CLOSE: (40), (91), (247) are inconsistent by sub-proof
% 71.42/10.52  | | | | | | | | | | | | |            #159.
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | |   (248)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.42/10.52  | | | | | | | | | | | | |              e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.42/10.52  | | | | | | | | | | | | |            (all_10_23 = e0))
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | BETA: splitting (248) gives:
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | Case 1:
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | |   (249)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.42/10.52  | | | | | | | | | | | | | |            e1)
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | ALPHA: (249) implies:
% 71.42/10.52  | | | | | | | | | | | | | |   (250)  all_10_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | COMBINE_EQS: (28), (250) imply:
% 71.42/10.52  | | | | | | | | | | | | | |   (251)  all_4_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | SIMP: (251) implies:
% 71.42/10.52  | | | | | | | | | | | | | |   (252)  all_4_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | COMBINE_EQS: (69), (252) imply:
% 71.42/10.52  | | | | | | | | | | | | | |   (253)  all_8_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (13), (23), (24), (35), (37), (40),
% 71.42/10.52  | | | | | | | | | | | | | |            (43), (44), (45), (50), (52), (64), (67), (68),
% 71.42/10.52  | | | | | | | | | | | | | |            (78), (81), (84), (87), (89), (91), (96), (99),
% 71.42/10.52  | | | | | | | | | | | | | |            (103), (104), (219), (230), (232), (234), (250),
% 71.42/10.52  | | | | | | | | | | | | | |            (253) are inconsistent by sub-proof #4.
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | Case 2:
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | |   (254)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.42/10.52  | | | | | | | | | | | | | |            e0)
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | ALPHA: (254) implies:
% 71.42/10.52  | | | | | | | | | | | | | |   (255)  all_10_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | |   (256)   ~ (all_10_23 = e0)
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | COMBINE_EQS: (28), (255) imply:
% 71.42/10.52  | | | | | | | | | | | | | |   (257)  all_4_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | SIMP: (257) implies:
% 71.42/10.52  | | | | | | | | | | | | | |   (258)  all_4_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | COMBINE_EQS: (69), (258) imply:
% 71.42/10.52  | | | | | | | | | | | | | |   (259)  all_8_24 = e1
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | REDUCE: (54), (258) imply:
% 71.42/10.52  | | | | | | | | | | | | | |   (260)   ~ (e3 = e1)
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (8), (13), (23), (24), (35), (37), (40),
% 71.42/10.52  | | | | | | | | | | | | | |            (43), (44), (45), (50), (52), (64), (67), (68),
% 71.42/10.52  | | | | | | | | | | | | | |            (78), (81), (84), (87), (89), (91), (96), (99),
% 71.42/10.52  | | | | | | | | | | | | | |            (103), (104), (219), (230), (232), (234), (255),
% 71.42/10.52  | | | | | | | | | | | | | |            (259) are inconsistent by sub-proof #4.
% 71.42/10.52  | | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | | 
% 71.42/10.52  | | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | | 
% 71.42/10.52  | | | | | | | | End of split
% 71.42/10.52  | | | | | | | | 
% 71.42/10.52  | | | | | | | End of split
% 71.42/10.52  | | | | | | | 
% 71.42/10.52  | | | | | | End of split
% 71.42/10.52  | | | | | | 
% 71.42/10.52  | | | | | End of split
% 71.42/10.52  | | | | | 
% 71.42/10.52  | | | | End of split
% 71.42/10.52  | | | | 
% 71.42/10.52  | | | End of split
% 71.42/10.52  | | | 
% 71.42/10.52  | | End of split
% 71.42/10.52  | | 
% 71.42/10.52  | Case 2:
% 71.42/10.52  | | 
% 71.42/10.52  | |   (261)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 71.42/10.52  | | 
% 71.42/10.52  | | REF_CLOSE: (20), (61), (86), (88), (261) are inconsistent by sub-proof #140.
% 71.42/10.52  | | 
% 71.42/10.52  | End of split
% 71.42/10.52  | 
% 71.42/10.52  End of proof
% 71.42/10.52  
% 71.42/10.52  Sub-proof #4 shows that the following formulas are inconsistent:
% 71.42/10.52  ----------------------------------------------------------------
% 71.42/10.52    (1)  all_10_2 = e0
% 71.42/10.52    (2)  all_10_6 = e4
% 71.42/10.52    (3)   ~ (all_4_5 = e1)
% 71.42/10.52    (4)   ~ (e3 = e1)
% 71.42/10.52    (5)  all_8_21 = e3
% 71.42/10.52    (6)  all_6_1 = all_4_5
% 71.42/10.52    (7)   ~ (all_4_5 = e4)
% 71.42/10.52    (8)  all_10_24 = e1
% 71.42/10.52    (9)  all_8_14 = e4 | all_8_22 = e4
% 71.42/10.52    (10)  all_8_14 = e2
% 71.42/10.53    (11)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.42/10.53                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.42/10.53                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.42/10.53                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.42/10.53                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.42/10.53                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.42/10.53              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.42/10.53                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.42/10.53                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.42/10.53              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.53              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.53              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.53              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.42/10.53              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.42/10.53              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.42/10.53              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.42/10.53              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.42/10.53              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.42/10.53                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.42/10.53            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.53              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.53              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.42/10.53              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.42/10.53                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.42/10.53                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.42/10.53                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.42/10.53                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.42/10.53            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.42/10.53              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.42/10.53                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.42/10.53                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.42/10.53                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.42/10.53              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.53              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.53              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.53              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.53              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.42/10.53              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.42/10.53              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.42/10.53              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.42/10.53              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.42/10.53                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.42/10.53            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.53              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.42/10.53              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.42/10.53                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.42/10.53              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.42/10.53                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.42/10.53            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.53              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.42/10.53                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.42/10.53                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.42/10.53                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.42/10.53                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.42/10.53                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.42/10.53                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.42/10.53              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.42/10.53              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.42/10.53              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.42/10.53                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.42/10.53            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.42/10.53              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.53              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.53              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.42/10.53              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.42/10.53              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.42/10.53              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.42/10.53                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.42/10.53                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.42/10.53              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.42/10.53                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.42/10.53              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.42/10.53                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.42/10.53            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.42/10.53              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.42/10.53              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.42/10.53              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.42/10.53              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.42/10.53                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.42/10.53            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.53              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.42/10.53              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.42/10.53              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.42/10.53                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.42/10.53                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.42/10.53                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.42/10.53                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.42/10.53              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.42/10.53                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.42/10.53                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.42/10.53              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.42/10.53              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.42/10.53              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.42/10.53              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.42/10.53              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.42/10.53                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.42/10.53            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.53              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.42/10.53    (12)  all_10_23 = all_4_19
% 71.42/10.53    (13)   ~ (e3 = e0)
% 71.42/10.53    (14)  all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 71.42/10.53    (15)  all_8_23 = all_4_19
% 71.42/10.53    (16)  all_8_22 = all_4_14
% 71.42/10.53    (17)   ~ (all_4_19 = e0)
% 71.42/10.53    (18)  all_10_5 = e3
% 71.42/10.53    (19)   ~ (all_4_14 = e2)
% 71.42/10.53    (20)   ~ (e3 = e2)
% 71.42/10.53    (21)  all_10_11 = all_4_7
% 71.42/10.53    (22)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 71.42/10.53          = e2
% 71.42/10.53    (23)   ~ (all_4_5 = all_4_7)
% 71.42/10.53    (24)   ~ (e2 = e1)
% 71.42/10.53    (25)   ~ (all_4_5 = e0)
% 71.42/10.53    (26)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 71.42/10.53    (27)  all_10_18 = e0
% 71.42/10.53    (28)  all_10_19 = e3
% 71.42/10.53    (29)   ~ (all_4_19 = e2)
% 71.42/10.53    (30)   ~ (all_4_14 = e0)
% 71.42/10.53    (31)  all_10_1 = all_4_5
% 71.42/10.53    (32)  all_10_12 = e3
% 71.42/10.53    (33)  all_8_24 = e1
% 71.42/10.53  
% 71.42/10.53  Begin of proof
% 71.42/10.53  | 
% 71.42/10.53  | BETA: splitting (22) gives:
% 71.42/10.53  | 
% 71.42/10.53  | Case 1:
% 71.42/10.53  | | 
% 71.42/10.53  | |   (34)  all_8_20 = e2
% 71.42/10.53  | | 
% 71.42/10.53  | | BETA: splitting (26) gives:
% 71.42/10.53  | | 
% 71.42/10.53  | | Case 1:
% 71.42/10.53  | | | 
% 71.42/10.53  | | |   (35)  all_6_1 = e2
% 71.42/10.53  | | | 
% 71.42/10.53  | | | COMBINE_EQS: (6), (35) imply:
% 71.42/10.53  | | |   (36)  all_4_5 = e2
% 71.42/10.53  | | | 
% 71.42/10.53  | | | SIMP: (36) implies:
% 71.42/10.53  | | |   (37)  all_4_5 = e2
% 71.42/10.53  | | | 
% 71.42/10.53  | | | COMBINE_EQS: (31), (37) imply:
% 71.42/10.53  | | |   (38)  all_10_1 = e2
% 71.42/10.53  | | | 
% 71.42/10.53  | | | REDUCE: (23), (37) imply:
% 71.42/10.53  | | |   (39)   ~ (all_4_7 = e2)
% 71.42/10.53  | | | 
% 71.42/10.53  | | | SIMP: (39) implies:
% 71.42/10.53  | | |   (40)   ~ (all_4_7 = e2)
% 71.42/10.53  | | | 
% 71.42/10.53  | | | REDUCE: (7), (37) imply:
% 71.42/10.53  | | |   (41)   ~ (e4 = e2)
% 71.42/10.53  | | | 
% 71.42/10.53  | | | SIMP: (41) implies:
% 71.42/10.53  | | |   (42)   ~ (e4 = e2)
% 71.42/10.53  | | | 
% 71.42/10.53  | | | REDUCE: (25), (37) imply:
% 71.42/10.53  | | |   (43)   ~ (e2 = e0)
% 71.42/10.53  | | | 
% 71.42/10.53  | | | BETA: splitting (11) gives:
% 71.42/10.53  | | | 
% 71.42/10.53  | | | Case 1:
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | |   (44)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 71.42/10.53  | | | |             (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.42/10.53  | | | |             (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.42/10.53  | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 71.42/10.53  | | | |             (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~
% 71.42/10.53  | | | |             (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~
% 71.42/10.53  | | | |               (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 71.42/10.53  | | | |               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~
% 71.42/10.53  | | | |               (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~
% 71.42/10.53  | | | |               (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & (
% 71.42/10.53  | | | |             ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | |             ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | |             ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | |             ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | |             ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4)
% 71.42/10.53  | | | |             | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 71.42/10.53  | | | |             | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 71.42/10.53  | | | |             | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4)
% 71.42/10.53  | | | |             | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4)
% 71.42/10.53  | | | |             |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &
% 71.42/10.53  | | | |                ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2
% 71.42/10.53  | | | |               &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 =
% 71.42/10.53  | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20
% 71.42/10.53  | | | |               = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 71.42/10.53  | | | |             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~
% 71.42/10.53  | | | |             (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~
% 71.42/10.53  | | | |               (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~
% 71.42/10.53  | | | |               (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~
% 71.42/10.53  | | | |               (unit = e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~
% 71.42/10.53  | | | |               (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & (
% 71.42/10.53  | | | |             ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.53  | | | |             (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.53  | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.53  | | | |             (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.53  | | | |             (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 71.42/10.53  | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 71.42/10.53  | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 71.42/10.53  | | | |             (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.42/10.53  | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) | 
% 71.42/10.53  | | | |             ~ (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &  ~
% 71.42/10.53  | | | |               (unit = e3))) & ( ~ (all_10_18 = e3) | (all_10_16 = e1 & 
% 71.42/10.53  | | | |               ~ (unit = e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &
% 71.42/10.53  | | | |                ~ (unit = e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4
% 71.42/10.53  | | | |               &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 71.42/10.53  | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 71.42/10.53  | | | |                 e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~
% 71.42/10.53  | | | |               (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 & 
% 71.42/10.53  | | | |               ~ (unit = e3))))
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | | BETA: splitting (44) gives:
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | | Case 1:
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | |   (45)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 71.42/10.53  | | | | |           (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.42/10.53  | | | | |           (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.42/10.53  | | | | |           (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 71.42/10.53  | | | | |           (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~
% 71.42/10.53  | | | | |           (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~
% 71.42/10.53  | | | | |             (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 71.42/10.53  | | | | |             (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~
% 71.42/10.53  | | | | |             (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~
% 71.42/10.53  | | | | |             (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & (
% 71.42/10.53  | | | | |           ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | | |           ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | | |           ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | | |           ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & (
% 71.42/10.53  | | | | |           ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4)
% 71.42/10.53  | | | | |           | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 71.42/10.53  | | | | |           | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 71.42/10.53  | | | | |           | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4)
% 71.42/10.53  | | | | |           | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4)
% 71.42/10.53  | | | | |           |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &
% 71.42/10.53  | | | | |              ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2
% 71.42/10.53  | | | | |             &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 =
% 71.42/10.53  | | | | |             e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20
% 71.42/10.53  | | | | |             = e0 &  ~ (unit = e4)))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | ALPHA: (45) implies:
% 71.42/10.53  | | | | |   (46)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | BETA: splitting (9) gives:
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | Case 1:
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | |   (47)  all_8_14 = e4
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | COMBINE_EQS: (10), (47) imply:
% 71.42/10.53  | | | | | |   (48)  e4 = e2
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | REDUCE: (42), (48) imply:
% 71.42/10.53  | | | | | |   (49)  $false
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | CLOSE: (49) is inconsistent.
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | Case 2:
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | |   (50)  all_8_22 = e4
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | COMBINE_EQS: (16), (50) imply:
% 71.42/10.53  | | | | | |   (51)  all_4_14 = e4
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | SIMP: (51) implies:
% 71.42/10.53  | | | | | |   (52)  all_4_14 = e4
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | REDUCE: (30), (52) imply:
% 71.42/10.53  | | | | | |   (53)   ~ (e4 = e0)
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | BETA: splitting (14) gives:
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | | Case 1:
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | |   (54)  all_8_20 = e0
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | | COMBINE_EQS: (34), (54) imply:
% 71.42/10.53  | | | | | | |   (55)  e2 = e0
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | | SIMP: (55) implies:
% 71.42/10.53  | | | | | | |   (56)  e2 = e0
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | | REDUCE: (43), (56) imply:
% 71.42/10.53  | | | | | | |   (57)  $false
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | | CLOSE: (57) is inconsistent.
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | Case 2:
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | |   (58)  all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | | BETA: splitting (58) gives:
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | | Case 1:
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | |   (59)  all_8_21 = e0
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | | COMBINE_EQS: (5), (59) imply:
% 71.42/10.53  | | | | | | | |   (60)  e3 = e0
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | | REF_CLOSE: (2), (13), (18), (46), (60) are inconsistent by
% 71.42/10.53  | | | | | | | |            sub-proof #17.
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | Case 2:
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | |   (61)  all_8_22 = e0 | all_8_23 = e0
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | | BETA: splitting (61) gives:
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | | Case 1:
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | |   (62)  all_8_22 = e0
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | COMBINE_EQS: (50), (62) imply:
% 71.42/10.53  | | | | | | | | |   (63)  e4 = e0
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | SIMP: (63) implies:
% 71.42/10.53  | | | | | | | | |   (64)  e4 = e0
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | REDUCE: (53), (64) imply:
% 71.42/10.53  | | | | | | | | |   (65)  $false
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | CLOSE: (65) is inconsistent.
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | Case 2:
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | |   (66)  all_8_23 = e0
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | COMBINE_EQS: (15), (66) imply:
% 71.42/10.53  | | | | | | | | |   (67)  all_4_19 = e0
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | SIMP: (67) implies:
% 71.42/10.53  | | | | | | | | |   (68)  all_4_19 = e0
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | REDUCE: (17), (68) imply:
% 71.42/10.53  | | | | | | | | |   (69)  $false
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | | CLOSE: (69) is inconsistent.
% 71.42/10.53  | | | | | | | | | 
% 71.42/10.53  | | | | | | | | End of split
% 71.42/10.53  | | | | | | | | 
% 71.42/10.53  | | | | | | | End of split
% 71.42/10.53  | | | | | | | 
% 71.42/10.53  | | | | | | End of split
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | End of split
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | Case 2:
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | |   (70)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.53  | | | | |           (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 71.42/10.53  | | | | |           (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.42/10.53  | | | | |           (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 71.42/10.53  | | | | |           (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 71.42/10.53  | | | | |           (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 71.42/10.53  | | | | |           (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~
% 71.42/10.53  | | | | |             (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~
% 71.42/10.53  | | | | |             (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~
% 71.42/10.53  | | | | |             (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 & 
% 71.42/10.53  | | | | |             ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) &
% 71.42/10.53  | | | | |         ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & (
% 71.42/10.53  | | | | |           ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & (
% 71.42/10.53  | | | | |           ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & (
% 71.42/10.53  | | | | |           ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & (
% 71.42/10.53  | | | | |           ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3)
% 71.42/10.53  | | | | |           | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3)
% 71.42/10.53  | | | | |           | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3)
% 71.42/10.53  | | | | |           | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3)
% 71.42/10.53  | | | | |           | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3)
% 71.42/10.53  | | | | |           |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &
% 71.42/10.53  | | | | |              ~ (unit = e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1
% 71.42/10.53  | | | | |             &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 =
% 71.42/10.53  | | | | |             e0 &  ~ (unit = e3)))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | ALPHA: (70) implies:
% 71.42/10.53  | | | | |   (71)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | REF_CLOSE: (21), (32), (40), (71) are inconsistent by sub-proof #8.
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | End of split
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | Case 2:
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | |   (72)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.53  | | | |             (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.53  | | | |             (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.42/10.53  | | | |             (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.42/10.53  | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.42/10.53  | | | |             (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 71.42/10.53  | | | |             (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 71.42/10.53  | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 71.42/10.53  | | | |               (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~
% 71.42/10.53  | | | |               (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 & 
% 71.42/10.53  | | | |               ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &
% 71.42/10.53  | | | |                ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2))
% 71.42/10.53  | | | |           & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) &
% 71.42/10.53  | | | |           ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & (
% 71.42/10.53  | | | |             ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & (
% 71.42/10.53  | | | |             ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & (
% 71.42/10.53  | | | |             ~ (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2)
% 71.42/10.53  | | | |             | (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2)
% 71.42/10.53  | | | |             | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 71.42/10.53  | | | |             | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2)
% 71.42/10.53  | | | |             | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2)
% 71.42/10.53  | | | |             |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &
% 71.42/10.53  | | | |                ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0
% 71.42/10.53  | | | |               &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 =
% 71.42/10.53  | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.42/10.53  | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 =
% 71.42/10.53  | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 71.42/10.53  | | | |               e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.42/10.53  | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit
% 71.42/10.53  | | | |                 = e1))) & ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~
% 71.42/10.53  | | | |               (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~
% 71.42/10.53  | | | |               (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & (
% 71.42/10.53  | | | |             ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | |             (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | |             (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | |             (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.42/10.53  | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.42/10.53  | | | |             (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.42/10.53  | | | |             (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.42/10.53  | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) | 
% 71.42/10.53  | | | |             ~ (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~
% 71.42/10.53  | | | |               (unit = e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 & 
% 71.42/10.53  | | | |               ~ (unit = e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3 &
% 71.42/10.53  | | | |                ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23 = e2
% 71.42/10.53  | | | |               &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 71.42/10.53  | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 71.42/10.53  | | | |                 e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~
% 71.42/10.53  | | | |               (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~
% 71.42/10.53  | | | |               (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 71.42/10.53  | | | |               (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~
% 71.42/10.53  | | | |               (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & (
% 71.42/10.53  | | | |             ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | |             (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | |             (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | |             (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 71.42/10.53  | | | |             (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 71.42/10.53  | | | |             (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.42/10.53  | | | |             (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 71.42/10.53  | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) | 
% 71.42/10.53  | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~
% 71.42/10.53  | | | |               (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 & 
% 71.42/10.53  | | | |               ~ (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &
% 71.42/10.53  | | | |                ~ (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1
% 71.42/10.53  | | | |               &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit =
% 71.42/10.53  | | | |               e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.42/10.53  | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~
% 71.42/10.53  | | | |               (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2 & 
% 71.42/10.53  | | | |               ~ (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &
% 71.42/10.53  | | | |                ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | | BETA: splitting (72) gives:
% 71.42/10.53  | | | | 
% 71.42/10.53  | | | | Case 1:
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | |   (73)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.53  | | | | |           (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.53  | | | | |           (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.42/10.53  | | | | |           (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.42/10.53  | | | | |           (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.42/10.53  | | | | |           (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 71.42/10.53  | | | | |           (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 71.42/10.53  | | | | |           (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 71.42/10.53  | | | | |             (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~
% 71.42/10.53  | | | | |             (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 & 
% 71.42/10.53  | | | | |             ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &
% 71.42/10.53  | | | | |              ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2))
% 71.42/10.53  | | | | |         & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) &
% 71.42/10.53  | | | | |         ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & (
% 71.42/10.53  | | | | |           ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & (
% 71.42/10.53  | | | | |           ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & (
% 71.42/10.53  | | | | |           ~ (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2)
% 71.42/10.53  | | | | |           | (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2)
% 71.42/10.53  | | | | |           | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2)
% 71.42/10.53  | | | | |           | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2)
% 71.42/10.53  | | | | |           | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2)
% 71.42/10.53  | | | | |           |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &
% 71.42/10.53  | | | | |              ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0
% 71.42/10.53  | | | | |             &  ~ (unit = e2)))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | ALPHA: (73) implies:
% 71.42/10.53  | | | | |   (74)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | REF_CLOSE: (1), (13), (38), (74) are inconsistent by sub-proof #251.
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | Case 2:
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | |   (75)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | | |             (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | | |             (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 71.42/10.53  | | | | |             (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 71.42/10.53  | | | | |             (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.42/10.53  | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 71.42/10.53  | | | | |             (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) | 
% 71.42/10.53  | | | | |             ~ (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~
% 71.42/10.53  | | | | |               (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &
% 71.42/10.53  | | | | |                ~ (unit = e1))) & ( ~ (all_10_11 = e1) | (all_10_13 =
% 71.42/10.53  | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.42/10.53  | | | | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1)
% 71.42/10.53  | | | | |             |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0
% 71.42/10.53  | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 =
% 71.42/10.53  | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.42/10.53  | | | | |             (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1)
% 71.42/10.53  | | | | |             | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 =
% 71.42/10.53  | | | | |               e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 71.42/10.53  | | | | |             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1)
% 71.42/10.53  | | | | |             | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 =
% 71.42/10.53  | | | | |               e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & (
% 71.42/10.53  | | | | |             ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 71.42/10.53  | | | | |               e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 71.42/10.53  | | | | |             (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | | |             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | | |             (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 71.42/10.53  | | | | |             (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.42/10.53  | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 71.42/10.53  | | | | |             (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 71.42/10.53  | | | | |             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) | 
% 71.42/10.53  | | | | |             ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 & 
% 71.42/10.53  | | | | |               ~ (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3
% 71.42/10.53  | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) | (all_10_14 =
% 71.42/10.53  | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 71.42/10.53  | | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0)
% 71.42/10.53  | | | | |             |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4
% 71.42/10.53  | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 =
% 71.42/10.53  | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.42/10.53  | | | | |             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0)
% 71.42/10.53  | | | | |             | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 71.42/10.53  | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.42/10.53  | | | | |             (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0)
% 71.42/10.53  | | | | |             | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 =
% 71.42/10.53  | | | | |               e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.53  | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & (
% 71.42/10.53  | | | | |             ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | BETA: splitting (75) gives:
% 71.42/10.53  | | | | | 
% 71.42/10.53  | | | | | Case 1:
% 71.42/10.53  | | | | | | 
% 71.42/10.53  | | | | | |   (76)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & (
% 71.42/10.53  | | | | | |           ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & (
% 71.42/10.53  | | | | | |           ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & (
% 71.42/10.53  | | | | | |           ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1)
% 71.42/10.53  | | | | | |           | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1)
% 71.42/10.53  | | | | | |           | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 71.42/10.53  | | | | | |           | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1)
% 71.42/10.53  | | | | | |           | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1)
% 71.42/10.53  | | | | | |           |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &
% 71.42/10.53  | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 =
% 71.42/10.53  | | | | | |             e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 71.42/10.53  | | | | | |           (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1)
% 71.42/10.53  | | | | | |           | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 =
% 71.42/10.53  | | | | | |             e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.42/10.53  | | | | | |           (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1)
% 71.42/10.53  | | | | | |           | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 =
% 71.42/10.53  | | | | | |             e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | | | |           (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & (
% 71.42/10.53  | | | | | |           ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 =
% 71.42/10.53  | | | | | |             e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.53  | | | | | |           (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & (
% 71.42/10.53  | | | | | |           ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) &
% 71.42/10.53  | | | | | |         ( ~ (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) &
% 71.42/10.54  | | | | | |         ( ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 71.42/10.54  | | | | | |             e1) | (all_10_23 = e0 &  ~ (unit = e1)))
% 71.42/10.54  | | | | | | 
% 71.42/10.54  | | | | | | REF_CLOSE: (8), (12), (17), (76) are inconsistent by sub-proof #107.
% 71.42/10.54  | | | | | | 
% 71.42/10.54  | | | | | Case 2:
% 71.42/10.54  | | | | | | 
% 71.42/10.54  | | | | | |   (77)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & (
% 71.42/10.54  | | | | | |           ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & (
% 71.42/10.54  | | | | | |           ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & (
% 71.42/10.54  | | | | | |           ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & (
% 71.42/10.54  | | | | | |           ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0)
% 71.42/10.54  | | | | | |           | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0)
% 71.42/10.54  | | | | | |           | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 71.42/10.54  | | | | | |           | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0)
% 71.42/10.54  | | | | | |           | (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0)
% 71.42/10.54  | | | | | |           |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4
% 71.42/10.54  | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 =
% 71.42/10.54  | | | | | |             e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.42/10.54  | | | | | |           (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0)
% 71.42/10.54  | | | | | |           | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 =
% 71.42/10.54  | | | | | |             e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.42/10.54  | | | | | |           (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0)
% 71.42/10.54  | | | | | |           | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 =
% 71.42/10.54  | | | | | |             e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.54  | | | | | |           (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))) & (
% 71.42/10.54  | | | | | |           ~ (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 =
% 71.42/10.54  | | | | | |             e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.54  | | | | | |           (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & (
% 71.42/10.54  | | | | | |           ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) &
% 71.42/10.54  | | | | | |         ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) &
% 71.42/10.54  | | | | | |         ( ~ (all_10_24 = e0) |  ~ (unit = e0))
% 71.42/10.54  | | | | | | 
% 71.42/10.54  | | | | | | REF_CLOSE: (4), (27), (28), (77) are inconsistent by sub-proof #118.
% 71.42/10.54  | | | | | | 
% 71.42/10.54  | | | | | End of split
% 71.42/10.54  | | | | | 
% 71.42/10.54  | | | | End of split
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | End of split
% 71.42/10.54  | | | 
% 71.42/10.54  | | Case 2:
% 71.42/10.54  | | | 
% 71.42/10.54  | | |   (78)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 71.42/10.54  | | | 
% 71.42/10.54  | | | REF_CLOSE: (3), (6), (7), (25), (78) are inconsistent by sub-proof #227.
% 71.42/10.54  | | | 
% 71.42/10.54  | | End of split
% 71.42/10.54  | | 
% 71.42/10.54  | Case 2:
% 71.42/10.54  | | 
% 71.42/10.54  | |   (79)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 71.42/10.54  | | 
% 71.42/10.54  | | REF_CLOSE: (5), (15), (16), (19), (20), (24), (29), (33), (79) are
% 71.42/10.54  | |            inconsistent by sub-proof #5.
% 71.42/10.54  | | 
% 71.42/10.54  | End of split
% 71.42/10.54  | 
% 71.42/10.54  End of proof
% 71.42/10.54  
% 71.42/10.54  Sub-proof #5 shows that the following formulas are inconsistent:
% 71.42/10.54  ----------------------------------------------------------------
% 71.42/10.54    (1)  all_8_21 = e3
% 71.42/10.54    (2)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 71.42/10.54    (3)  all_8_23 = all_4_19
% 71.42/10.54    (4)  all_8_22 = all_4_14
% 71.42/10.54    (5)   ~ (all_4_14 = e2)
% 71.42/10.54    (6)   ~ (e3 = e2)
% 71.42/10.54    (7)   ~ (e2 = e1)
% 71.42/10.54    (8)   ~ (all_4_19 = e2)
% 71.42/10.54    (9)  all_8_24 = e1
% 71.42/10.54  
% 71.42/10.54  Begin of proof
% 71.42/10.54  | 
% 71.42/10.54  | BETA: splitting (2) gives:
% 71.42/10.54  | 
% 71.42/10.54  | Case 1:
% 71.42/10.54  | | 
% 71.42/10.54  | |   (10)  all_8_21 = e2
% 71.42/10.54  | | 
% 71.42/10.54  | | COMBINE_EQS: (1), (10) imply:
% 71.42/10.54  | |   (11)  e3 = e2
% 71.42/10.54  | | 
% 71.42/10.54  | | SIMP: (11) implies:
% 71.42/10.54  | |   (12)  e3 = e2
% 71.42/10.54  | | 
% 71.42/10.54  | | REDUCE: (6), (12) imply:
% 71.42/10.54  | |   (13)  $false
% 71.42/10.54  | | 
% 71.42/10.54  | | CLOSE: (13) is inconsistent.
% 71.42/10.54  | | 
% 71.42/10.54  | Case 2:
% 71.42/10.54  | | 
% 71.42/10.54  | |   (14)  all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 71.42/10.54  | | 
% 71.42/10.54  | | BETA: splitting (14) gives:
% 71.42/10.54  | | 
% 71.42/10.54  | | Case 1:
% 71.42/10.54  | | | 
% 71.42/10.54  | | |   (15)  all_8_22 = e2
% 71.42/10.54  | | | 
% 71.42/10.54  | | | REF_CLOSE: (4), (5), (15) are inconsistent by sub-proof #26.
% 71.42/10.54  | | | 
% 71.42/10.54  | | Case 2:
% 71.42/10.54  | | | 
% 71.42/10.54  | | |   (16)  all_8_23 = e2 | all_8_24 = e2
% 71.42/10.54  | | | 
% 71.42/10.54  | | | BETA: splitting (16) gives:
% 71.42/10.54  | | | 
% 71.42/10.54  | | | Case 1:
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | |   (17)  all_8_23 = e2
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | COMBINE_EQS: (3), (17) imply:
% 71.42/10.54  | | | |   (18)  all_4_19 = e2
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | SIMP: (18) implies:
% 71.42/10.54  | | | |   (19)  all_4_19 = e2
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | REDUCE: (8), (19) imply:
% 71.42/10.54  | | | |   (20)  $false
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | CLOSE: (20) is inconsistent.
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | Case 2:
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | |   (21)  all_8_24 = e2
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | COMBINE_EQS: (9), (21) imply:
% 71.42/10.54  | | | |   (22)  e2 = e1
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | REDUCE: (7), (22) imply:
% 71.42/10.54  | | | |   (23)  $false
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | | CLOSE: (23) is inconsistent.
% 71.42/10.54  | | | | 
% 71.42/10.54  | | | End of split
% 71.42/10.54  | | | 
% 71.42/10.54  | | End of split
% 71.42/10.54  | | 
% 71.42/10.54  | End of split
% 71.42/10.54  | 
% 71.42/10.54  End of proof
% 71.42/10.54  
% 71.42/10.54  Sub-proof #6 shows that the following formulas are inconsistent:
% 71.42/10.54  ----------------------------------------------------------------
% 71.42/10.54    (1)   ~ (all_4_0 = e3)
% 71.42/10.54    (2)   ~ (all_4_5 = e1)
% 71.42/10.54    (3)  all_10_16 = all_4_8
% 71.42/10.54    (4)   ~ (e3 = e1)
% 71.42/10.54    (5)   ~ (all_4_7 = all_4_22)
% 71.42/10.54    (6)  all_8_14 = all_4_13
% 71.42/10.54    (7)  all_10_15 = all_4_3
% 71.42/10.54    (8)  all_8_13 = all_4_8
% 71.42/10.54    (9)   ~ (all_4_24 = e0)
% 71.42/10.54    (10)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 71.42/10.54          = e0
% 71.42/10.54    (11)   ~ (all_4_0 = all_4_4)
% 71.42/10.54    (12)   ~ (all_4_13 = e1)
% 71.42/10.54    (13)  all_10_14 = all_4_22
% 71.42/10.54    (14)  all_6_1 = all_4_5
% 71.42/10.54    (15)   ~ (all_4_5 = e4)
% 71.42/10.54    (16)  all_6_11 = all_4_7
% 71.42/10.54    (17)   ~ (all_4_7 = e4)
% 71.42/10.54    (18)   ~ (all_4_0 = e1)
% 71.42/10.54    (19)  all_10_24 = all_4_24
% 71.42/10.54    (20)  all_10_0 = all_4_0
% 71.42/10.54    (21)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 71.42/10.54          = e1
% 71.42/10.54    (22)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.42/10.54                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.42/10.54                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.42/10.54                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.42/10.54                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.42/10.54                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.42/10.54              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.42/10.54                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.42/10.54                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.42/10.54              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.54              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.54              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.54              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.42/10.54              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.42/10.54              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.42/10.54              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.42/10.54              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.42/10.54              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.42/10.54                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.42/10.54            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.54              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.54              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.42/10.54              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.42/10.54                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.42/10.54                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.42/10.54                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.42/10.54                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.42/10.54            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.42/10.54              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.42/10.54                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.42/10.54                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.42/10.54                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.42/10.54              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.54              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.54              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.54              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.54              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.42/10.54              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.42/10.54              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.42/10.54              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.42/10.54              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.42/10.54                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.42/10.54            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.54              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.42/10.54              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.42/10.54                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.42/10.54              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.42/10.54                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.42/10.54            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.54              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.42/10.54                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.42/10.54                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.42/10.54                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.42/10.54                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.42/10.54                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.42/10.54                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.42/10.54              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.42/10.54              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.42/10.54              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.42/10.54                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.42/10.54            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.42/10.54              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.42/10.54              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.42/10.54              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.42/10.54              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.42/10.54              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.42/10.54              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.42/10.54                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.42/10.54                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.42/10.54              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.42/10.54                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.42/10.54              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.42/10.54                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.42/10.54            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.42/10.54              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.42/10.54              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.42/10.54              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.42/10.54              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.42/10.54                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.42/10.54            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.42/10.54              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.42/10.54              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.42/10.54              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.42/10.54                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.42/10.54                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.42/10.54                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.42/10.54                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.42/10.54              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.42/10.54                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.42/10.54                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.42/10.54              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.42/10.54              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.42/10.54              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.42/10.54              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.42/10.54              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.42/10.54                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.42/10.54            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.42/10.54              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.42/10.54    (23)  all_8_15 = e0
% 71.42/10.54    (24)  all_8_19 = e3
% 71.42/10.54    (25)   ~ (all_4_0 = all_4_5)
% 71.42/10.54    (26)   ~ (all_4_7 = e3)
% 71.42/10.54    (27)  all_6_14 = all_4_22
% 71.42/10.54    (28)   ~ (all_4_22 = e1)
% 71.42/10.54    (29)  all_10_0 = e0
% 71.42/10.54    (30)  all_10_11 = all_4_7
% 71.42/10.54    (31)   ~ (all_4_5 = all_4_7)
% 71.42/10.54    (32)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 71.42/10.54    (33)  all_8_12 = all_4_3
% 71.42/10.54    (34)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 71.42/10.54    (35)  all_10_20 = all_4_4
% 71.42/10.54    (36)  all_10_18 = e0
% 71.42/10.54    (37)   ~ (all_4_7 = e1)
% 71.42/10.54    (38)  all_10_19 = e3
% 71.42/10.54    (39)  all_10_24 = e4
% 71.42/10.54    (40)  all_10_12 = e3
% 71.42/10.54    (41)   ~ (all_4_22 = all_4_24)
% 71.42/10.54  
% 71.42/10.54  Begin of proof
% 71.42/10.54  | 
% 71.42/10.54  | COMBINE_EQS: (20), (29) imply:
% 71.42/10.54  |   (42)  all_4_0 = e0
% 71.42/10.54  | 
% 71.42/10.54  | COMBINE_EQS: (19), (39) imply:
% 71.42/10.54  |   (43)  all_4_24 = e4
% 71.42/10.54  | 
% 71.42/10.54  | REDUCE: (11), (42) imply:
% 71.42/10.54  |   (44)   ~ (all_4_4 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | SIMP: (44) implies:
% 71.42/10.54  |   (45)   ~ (all_4_4 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | REDUCE: (25), (42) imply:
% 71.42/10.54  |   (46)   ~ (all_4_5 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | SIMP: (46) implies:
% 71.42/10.54  |   (47)   ~ (all_4_5 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | REDUCE: (1), (42) imply:
% 71.42/10.54  |   (48)   ~ (e3 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | SIMP: (48) implies:
% 71.42/10.54  |   (49)   ~ (e3 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | REDUCE: (18), (42) imply:
% 71.42/10.54  |   (50)   ~ (e1 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | SIMP: (50) implies:
% 71.42/10.54  |   (51)   ~ (e1 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | REDUCE: (41), (43) imply:
% 71.42/10.54  |   (52)   ~ (all_4_22 = e4)
% 71.42/10.54  | 
% 71.42/10.54  | REDUCE: (9), (43) imply:
% 71.42/10.54  |   (53)   ~ (e4 = e0)
% 71.42/10.54  | 
% 71.42/10.54  | BETA: splitting (22) gives:
% 71.42/10.54  | 
% 71.42/10.54  | Case 1:
% 71.42/10.54  | | 
% 71.42/10.54  | |   (54)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 71.42/10.54  | |             (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.42/10.54  | |             (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.42/10.54  | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 71.42/10.54  | |             (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~
% 71.42/10.54  | |             (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 71.42/10.54  | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 71.42/10.54  | |                 e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.42/10.54  | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit =
% 71.42/10.54  | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.42/10.54  | |             (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.42/10.54  | |             (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.42/10.54  | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.42/10.54  | |             (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.42/10.54  | |             (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.42/10.54  | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.42/10.54  | |             (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.42/10.54  | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.42/10.54  | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 71.42/10.54  | |             (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 71.42/10.54  | |                 = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit
% 71.42/10.54  | |                 = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 71.42/10.54  | |                 = e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit
% 71.42/10.54  | |                 = e4)))) | (( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit
% 71.42/10.54  | |                 = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~
% 71.42/10.54  | |             (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.42/10.54  | |             (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 71.42/10.54  | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |
% 71.42/10.54  | |             (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 71.42/10.54  | |             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~
% 71.42/10.54  | |             (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 71.42/10.54  | |                 = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit
% 71.42/10.54  | |                 = e3))) & ( ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 71.42/10.54  | |                 = e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit
% 71.42/10.54  | |                 = e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 71.42/10.54  | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 71.42/10.54  | |             (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 71.42/10.54  | |             (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.42/10.54  | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 71.42/10.54  | |             (all_10_21 = e0 &  ~ (unit = e3))))
% 71.42/10.54  | | 
% 71.42/10.54  | | BETA: splitting (54) gives:
% 71.42/10.54  | | 
% 71.42/10.54  | | Case 1:
% 71.42/10.54  | | | 
% 71.62/10.54  | | |   (55)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 71.62/10.54  | | |           (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.62/10.54  | | |           (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.62/10.54  | | |           (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 71.62/10.54  | | |           (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~
% 71.62/10.54  | | |           (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 71.62/10.54  | | |               e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 71.62/10.54  | | |               e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.62/10.54  | | |               e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit =
% 71.62/10.54  | | |               e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.54  | | |           (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.54  | | |           (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.54  | | |           (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.54  | | |           (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.54  | | |           (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.62/10.54  | | |           (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.54  | | |           (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.54  | | |           (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.54  | | |           (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 71.62/10.54  | | |           (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 71.62/10.54  | | |               = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit
% 71.62/10.54  | | |               = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 71.62/10.54  | | |               = e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit
% 71.62/10.54  | | |               = e4)))
% 71.62/10.54  | | | 
% 71.62/10.54  | | | ALPHA: (55) implies:
% 71.62/10.54  | | |   (56)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4))
% 71.62/10.54  | | | 
% 71.62/10.54  | | | REF_CLOSE: (35), (39), (45), (56) are inconsistent by sub-proof #47.
% 71.62/10.54  | | | 
% 71.62/10.54  | | Case 2:
% 71.62/10.54  | | | 
% 71.62/10.55  | | |   (57)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.55  | | |           (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 71.62/10.55  | | |           (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.62/10.55  | | |           (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 71.62/10.55  | | |           (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 71.62/10.55  | | |           (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 71.62/10.55  | | |           (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit =
% 71.62/10.55  | | |               e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.62/10.55  | | |               e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 71.62/10.55  | | |               e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 71.62/10.55  | | |               e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.55  | | |           (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.55  | | |           (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.55  | | |           (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.55  | | |           (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.55  | | |           (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.55  | | |           (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.55  | | |           (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.55  | | |           (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.55  | | |           (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 71.62/10.55  | | |           (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 71.62/10.55  | | |               = e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit
% 71.62/10.55  | | |               = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 71.62/10.55  | | |               = e3)))
% 71.62/10.55  | | | 
% 71.62/10.55  | | | ALPHA: (57) implies:
% 71.62/10.55  | | |   (58)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))
% 71.62/10.55  | | | 
% 71.62/10.55  | | | BETA: splitting (32) gives:
% 71.62/10.55  | | | 
% 71.62/10.55  | | | Case 1:
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | |   (59)  all_6_14 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | COMBINE_EQS: (27), (59) imply:
% 71.62/10.55  | | | |   (60)  all_4_22 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | SIMP: (60) implies:
% 71.62/10.55  | | | |   (61)  all_4_22 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | REDUCE: (5), (61) imply:
% 71.62/10.55  | | | |   (62)   ~ (all_4_7 = e2)
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | REF_CLOSE: (30), (40), (58), (62) are inconsistent by sub-proof #8.
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | Case 2:
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | |   (63)   ~ (all_6_14 = e2)
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | REF_CLOSE: (2), (5), (10), (14), (15), (16), (17), (26), (27), (28),
% 71.62/10.55  | | | |            (31), (32), (34), (37), (47), (52), (63) are inconsistent by
% 71.62/10.55  | | | |            sub-proof #7.
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | End of split
% 71.62/10.55  | | | 
% 71.62/10.55  | | End of split
% 71.62/10.55  | | 
% 71.62/10.55  | Case 2:
% 71.62/10.55  | | 
% 71.62/10.55  | |   (64)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | |             (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | |             (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.62/10.55  | |             (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.62/10.55  | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.62/10.55  | |             (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 71.62/10.55  | |             (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 71.62/10.55  | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 71.62/10.55  | |                 e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 71.62/10.55  | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.55  | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.55  | |                 e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 71.62/10.55  | |             (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | |             (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 71.62/10.55  | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 71.62/10.55  | |             (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.62/10.55  | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.62/10.55  | |             (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 71.62/10.55  | |             (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 71.62/10.55  | |                 = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit
% 71.62/10.55  | |                 = e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit
% 71.62/10.55  | |                 = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 71.62/10.55  | |                 e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit =
% 71.62/10.55  | |                 e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.55  | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) |
% 71.62/10.55  | |             (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.62/10.55  | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 71.62/10.55  | |             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.62/10.55  | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~
% 71.62/10.55  | |             (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 71.62/10.55  | |                 = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit
% 71.62/10.55  | |                 = e1))) & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 71.62/10.55  | |                 = e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit
% 71.62/10.55  | |                 = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.55  | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |             (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.55  | |             (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.55  | |             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 71.62/10.55  | |             (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.62/10.55  | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 71.62/10.55  | |             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~
% 71.62/10.55  | |             (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.62/10.55  | |                 e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit =
% 71.62/10.55  | |                 e0))) & ( ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 71.62/10.55  | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.62/10.55  | |                 e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.55  | |             (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | |             (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | |             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | |             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.55  | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.62/10.55  | |             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.55  | |             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.55  | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~
% 71.62/10.55  | |             (unit = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 71.62/10.55  | |                 = e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 71.62/10.55  | |                 = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 71.62/10.55  | |                 = e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 71.62/10.55  | |                 = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.55  | | 
% 71.62/10.55  | | BETA: splitting (64) gives:
% 71.62/10.55  | | 
% 71.62/10.55  | | Case 1:
% 71.62/10.55  | | | 
% 71.62/10.55  | | |   (65)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | | |           (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | | |           (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.62/10.55  | | |           (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.62/10.55  | | |           (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.62/10.55  | | |           (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 71.62/10.55  | | |           (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 71.62/10.55  | | |           (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 71.62/10.55  | | |               e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 71.62/10.55  | | |               e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.55  | | |               e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.55  | | |               e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 71.62/10.55  | | |           (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | | |           (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | | |           (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | | |           (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.55  | | |           (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 71.62/10.55  | | |           (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 71.62/10.55  | | |           (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.62/10.55  | | |           (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.62/10.55  | | |           (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 71.62/10.55  | | |           (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 71.62/10.55  | | |               = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit
% 71.62/10.55  | | |               = e2)))
% 71.62/10.55  | | | 
% 71.62/10.55  | | | ALPHA: (65) implies:
% 71.62/10.55  | | |   (66)   ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))
% 71.62/10.55  | | | 
% 71.62/10.55  | | | BETA: splitting (32) gives:
% 71.62/10.55  | | | 
% 71.62/10.55  | | | Case 1:
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | |   (67)  all_6_14 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | COMBINE_EQS: (27), (67) imply:
% 71.62/10.55  | | | |   (68)  all_4_22 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | SIMP: (68) implies:
% 71.62/10.55  | | | |   (69)  all_4_22 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | COMBINE_EQS: (13), (69) imply:
% 71.62/10.55  | | | |   (70)  all_10_14 = e2
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | REF_CLOSE: (40), (49), (66), (70) are inconsistent by sub-proof #23.
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | Case 2:
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | |   (71)   ~ (all_6_14 = e2)
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | | REF_CLOSE: (2), (5), (10), (14), (15), (16), (17), (26), (27), (28),
% 71.62/10.55  | | | |            (31), (32), (34), (37), (47), (52), (71) are inconsistent by
% 71.62/10.55  | | | |            sub-proof #7.
% 71.62/10.55  | | | | 
% 71.62/10.55  | | | End of split
% 71.62/10.55  | | | 
% 71.62/10.55  | | Case 2:
% 71.62/10.55  | | | 
% 71.62/10.55  | | |   (72)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 71.62/10.55  | | |             (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 71.62/10.55  | | |             (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.55  | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 71.62/10.55  | | |             (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 71.62/10.55  | | |             (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit
% 71.62/10.55  | | |                 = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~
% 71.62/10.55  | | |               (unit = e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~
% 71.62/10.55  | | |               (unit = e1))) & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~
% 71.62/10.55  | | |               (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.55  | | |             (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 71.62/10.55  | | |             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 71.62/10.55  | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 71.62/10.55  | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 71.62/10.55  | | |             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 71.62/10.55  | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~
% 71.62/10.55  | | |               (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.55  | | |             (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 71.62/10.55  | | |             (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 71.62/10.55  | | |             (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.62/10.55  | | |             (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 71.62/10.55  | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |  ~
% 71.62/10.55  | | |             (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~
% 71.62/10.55  | | |               (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.55  | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.55  | | |             (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.55  | | | 
% 71.62/10.55  | | | REF_CLOSE: (3), (4), (6), (7), (8), (12), (21), (23), (24), (33), (36),
% 71.62/10.55  | | |            (38), (49), (51), (53), (72) are inconsistent by sub-proof #9.
% 71.62/10.55  | | | 
% 71.62/10.55  | | End of split
% 71.62/10.55  | | 
% 71.62/10.55  | End of split
% 71.62/10.55  | 
% 71.62/10.55  End of proof
% 71.62/10.55  
% 71.62/10.55  Sub-proof #7 shows that the following formulas are inconsistent:
% 71.62/10.55  ----------------------------------------------------------------
% 71.62/10.55    (1)   ~ (all_4_5 = e1)
% 71.62/10.55    (2)   ~ (all_4_7 = all_4_22)
% 71.62/10.55    (3)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 71.62/10.55         = e0
% 71.62/10.55    (4)  all_6_1 = all_4_5
% 71.62/10.55    (5)   ~ (all_4_5 = e4)
% 71.62/10.55    (6)  all_6_11 = all_4_7
% 71.62/10.55    (7)   ~ (all_4_7 = e4)
% 71.62/10.55    (8)   ~ (all_6_14 = e2)
% 71.62/10.55    (9)   ~ (all_4_7 = e3)
% 71.62/10.55    (10)  all_6_14 = all_4_22
% 71.62/10.55    (11)   ~ (all_4_22 = e1)
% 71.62/10.55    (12)   ~ (all_4_5 = all_4_7)
% 71.62/10.55    (13)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 71.62/10.55    (14)   ~ (all_4_22 = e4)
% 71.62/10.55    (15)   ~ (all_4_5 = e0)
% 71.62/10.55    (16)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 71.62/10.55    (17)   ~ (all_4_7 = e1)
% 71.62/10.55  
% 71.62/10.55  Begin of proof
% 71.62/10.55  | 
% 71.62/10.55  | REDUCE: (8), (10) imply:
% 71.62/10.55  |   (18)   ~ (all_4_22 = e2)
% 71.62/10.55  | 
% 71.62/10.55  | BETA: splitting (16) gives:
% 71.62/10.55  | 
% 71.62/10.55  | Case 1:
% 71.62/10.55  | | 
% 71.62/10.55  | |   (19)  all_6_1 = e2
% 71.62/10.55  | | 
% 71.62/10.55  | | COMBINE_EQS: (4), (19) imply:
% 71.62/10.55  | |   (20)  all_4_5 = e2
% 71.62/10.55  | | 
% 71.62/10.55  | | SIMP: (20) implies:
% 71.62/10.55  | |   (21)  all_4_5 = e2
% 71.62/10.55  | | 
% 71.62/10.55  | | REDUCE: (12), (21) imply:
% 71.62/10.55  | |   (22)   ~ (all_4_7 = e2)
% 71.62/10.55  | | 
% 71.62/10.55  | | SIMP: (22) implies:
% 71.62/10.55  | |   (23)   ~ (all_4_7 = e2)
% 71.62/10.55  | | 
% 71.62/10.55  | | REF_CLOSE: (2), (3), (6), (7), (9), (10), (11), (13), (14), (17), (18), (23)
% 71.62/10.55  | |            are inconsistent by sub-proof #45.
% 71.62/10.55  | | 
% 71.62/10.55  | Case 2:
% 71.62/10.55  | | 
% 71.62/10.55  | |   (24)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 71.62/10.55  | | 
% 71.62/10.55  | | REF_CLOSE: (1), (4), (5), (15), (24) are inconsistent by sub-proof #227.
% 71.62/10.55  | | 
% 71.62/10.55  | End of split
% 71.62/10.55  | 
% 71.62/10.55  End of proof
% 71.62/10.55  
% 71.62/10.55  Sub-proof #8 shows that the following formulas are inconsistent:
% 71.62/10.55  ----------------------------------------------------------------
% 71.62/10.55    (1)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))
% 71.62/10.55    (2)  all_10_12 = e3
% 71.62/10.55    (3)  all_10_11 = all_4_7
% 71.62/10.55    (4)   ~ (all_4_7 = e2)
% 71.62/10.55  
% 71.62/10.55  Begin of proof
% 71.62/10.55  | 
% 71.62/10.55  | BETA: splitting (1) gives:
% 71.62/10.55  | 
% 71.62/10.55  | Case 1:
% 71.62/10.55  | | 
% 71.62/10.55  | |   (5)   ~ (all_10_12 = e3)
% 71.62/10.55  | | 
% 71.62/10.55  | | REDUCE: (2), (5) imply:
% 71.62/10.55  | |   (6)  $false
% 71.62/10.55  | | 
% 71.62/10.55  | | CLOSE: (6) is inconsistent.
% 71.62/10.55  | | 
% 71.62/10.55  | Case 2:
% 71.62/10.55  | | 
% 71.62/10.55  | |   (7)  all_10_11 = e2 &  ~ (unit = e3)
% 71.62/10.55  | | 
% 71.62/10.55  | | ALPHA: (7) implies:
% 71.62/10.55  | |   (8)  all_10_11 = e2
% 71.62/10.55  | | 
% 71.62/10.55  | | COMBINE_EQS: (3), (8) imply:
% 71.62/10.55  | |   (9)  all_4_7 = e2
% 71.62/10.55  | | 
% 71.62/10.55  | | SIMP: (9) implies:
% 71.62/10.55  | |   (10)  all_4_7 = e2
% 71.62/10.55  | | 
% 71.62/10.55  | | REDUCE: (4), (10) imply:
% 71.62/10.55  | |   (11)  $false
% 71.62/10.55  | | 
% 71.62/10.55  | | CLOSE: (11) is inconsistent.
% 71.62/10.55  | | 
% 71.62/10.55  | End of split
% 71.62/10.55  | 
% 71.62/10.55  End of proof
% 71.62/10.55  
% 71.62/10.55  Sub-proof #9 shows that the following formulas are inconsistent:
% 71.62/10.55  ----------------------------------------------------------------
% 71.62/10.55    (1)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1
% 71.62/10.55               = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 71.62/10.55             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 71.62/10.55               e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & (
% 71.62/10.55             ~ (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6
% 71.62/10.55               = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 71.62/10.55             (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.62/10.55               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & (
% 71.62/10.55             ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55             (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55             (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.55             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.55             (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.55             (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.55             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.55               = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.62/10.55           & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55             (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.55             (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.55             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4 =
% 71.62/10.55               e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 71.62/10.55               (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 71.62/10.55                 e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 =
% 71.62/10.55               e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.55             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9 =
% 71.62/10.55               e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~
% 71.62/10.55               (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.55             (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.55             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.62/10.55             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.55             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.55             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.62/10.55               = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.62/10.55           & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.55             (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.55    (2)  all_10_16 = all_4_8
% 71.62/10.55    (3)   ~ (e3 = e1)
% 71.62/10.55    (4)  all_8_14 = all_4_13
% 71.62/10.55    (5)  all_10_15 = all_4_3
% 71.62/10.55    (6)  all_8_13 = all_4_8
% 71.62/10.55    (7)   ~ (all_4_13 = e1)
% 71.62/10.55    (8)   ~ (e4 = e0)
% 71.62/10.55    (9)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 71.62/10.55         = e1
% 71.62/10.55    (10)  all_8_15 = e0
% 71.62/10.55    (11)  all_8_19 = e3
% 71.62/10.55    (12)   ~ (e3 = e0)
% 71.62/10.55    (13)   ~ (e1 = e0)
% 71.62/10.55    (14)  all_8_12 = all_4_3
% 71.62/10.55    (15)  all_10_18 = e0
% 71.62/10.55    (16)  all_10_19 = e3
% 71.62/10.55  
% 71.62/10.55  Begin of proof
% 71.62/10.55  | 
% 71.62/10.55  | BETA: splitting (1) gives:
% 71.62/10.55  | 
% 71.62/10.55  | Case 1:
% 71.62/10.55  | | 
% 71.62/10.55  | |   (17)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |           (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |           (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |           (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 71.62/10.55  | |           (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 71.62/10.55  | |           (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.55  | |           (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 71.62/10.55  | |           (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit
% 71.62/10.55  | |             = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1)))
% 71.62/10.55  | |         & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |           (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |           (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.55  | |           (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.55  | |           (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.55  | |           (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.55  | |           (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.55  | |           (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~
% 71.62/10.55  | |           (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.62/10.55  | |               e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 71.62/10.55  | |               e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 71.62/10.55  | |               e1))) & ( ~ (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.62/10.55  | |               e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.55  | |           (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit = e1)))
% 71.62/10.55  | | 
% 71.62/10.55  | | ALPHA: (17) implies:
% 71.62/10.55  | |   (18)   ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))
% 71.62/10.55  | |   (19)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))
% 71.62/10.55  | | 
% 71.62/10.55  | | BETA: splitting (18) gives:
% 71.62/10.55  | | 
% 71.62/10.55  | | Case 1:
% 71.62/10.55  | | | 
% 71.62/10.55  | | |   (20)   ~ (all_10_16 = e1)
% 71.62/10.55  | | | 
% 71.62/10.55  | | | REDUCE: (2), (20) imply:
% 71.62/10.55  | | |   (21)   ~ (all_4_8 = e1)
% 71.62/10.55  | | | 
% 71.62/10.55  | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (14),
% 71.62/10.55  | | |            (15), (19), (21) are inconsistent by sub-proof #10.
% 71.62/10.55  | | | 
% 71.62/10.55  | | Case 2:
% 71.62/10.55  | | | 
% 71.62/10.55  | | |   (22)  all_10_18 = e3 &  ~ (unit = e1)
% 71.62/10.55  | | | 
% 71.62/10.55  | | | ALPHA: (22) implies:
% 71.62/10.55  | | |   (23)  all_10_18 = e3
% 71.62/10.55  | | | 
% 71.62/10.55  | | | COMBINE_EQS: (15), (23) imply:
% 71.62/10.55  | | |   (24)  e3 = e0
% 71.62/10.55  | | | 
% 71.62/10.55  | | | REDUCE: (12), (24) imply:
% 71.62/10.55  | | |   (25)  $false
% 71.62/10.55  | | | 
% 71.62/10.55  | | | CLOSE: (25) is inconsistent.
% 71.62/10.55  | | | 
% 71.62/10.55  | | End of split
% 71.62/10.55  | | 
% 71.62/10.55  | Case 2:
% 71.62/10.55  | | 
% 71.62/10.56  | |   (26)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 71.62/10.56  | |           (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.56  | |           (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 71.62/10.56  | |           (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 71.62/10.56  | |           (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit
% 71.62/10.56  | |             = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 71.62/10.56  | |               e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 71.62/10.56  | |               e0))) & ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 71.62/10.56  | |               e0))) & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 71.62/10.56  | |               e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.56  | |           (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.56  | |           (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.62/10.56  | |           (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 71.62/10.56  | |           (all_10_24 = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 71.62/10.56  | |           (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 71.62/10.56  | |           (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 71.62/10.56  | |           (unit = e0))
% 71.62/10.56  | | 
% 71.62/10.56  | | REF_CLOSE: (3), (15), (16), (26) are inconsistent by sub-proof #118.
% 71.62/10.56  | | 
% 71.62/10.56  | End of split
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #10 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)   ~ (e3 = e1)
% 71.62/10.56    (2)  all_8_14 = all_4_13
% 71.62/10.56    (3)  all_10_15 = all_4_3
% 71.62/10.56    (4)  all_8_13 = all_4_8
% 71.62/10.56    (5)   ~ (all_4_13 = e1)
% 71.62/10.56    (6)   ~ (e4 = e0)
% 71.62/10.56    (7)   ~ (all_4_8 = e1)
% 71.62/10.56    (8)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 71.62/10.56         = e1
% 71.62/10.56    (9)  all_8_15 = e0
% 71.62/10.56    (10)  all_8_19 = e3
% 71.62/10.56    (11)   ~ (e1 = e0)
% 71.62/10.56    (12)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))
% 71.62/10.56    (13)  all_8_12 = all_4_3
% 71.62/10.56    (14)  all_10_18 = e0
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | BETA: splitting (8) gives:
% 71.62/10.56  | 
% 71.62/10.56  | Case 1:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (15)  all_8_12 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | COMBINE_EQS: (13), (15) imply:
% 71.62/10.56  | |   (16)  all_4_3 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | SIMP: (16) implies:
% 71.62/10.56  | |   (17)  all_4_3 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | COMBINE_EQS: (3), (17) imply:
% 71.62/10.56  | |   (18)  all_10_15 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | REF_CLOSE: (6), (12), (14), (18) are inconsistent by sub-proof #234.
% 71.62/10.56  | | 
% 71.62/10.56  | Case 2:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (19)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | BETA: splitting (19) gives:
% 71.62/10.56  | | 
% 71.62/10.56  | | Case 1:
% 71.62/10.56  | | | 
% 71.62/10.56  | | |   (20)  all_8_13 = e1
% 71.62/10.56  | | | 
% 71.62/10.56  | | | COMBINE_EQS: (4), (20) imply:
% 71.62/10.56  | | |   (21)  all_4_8 = e1
% 71.62/10.56  | | | 
% 71.62/10.56  | | | SIMP: (21) implies:
% 71.62/10.56  | | |   (22)  all_4_8 = e1
% 71.62/10.56  | | | 
% 71.62/10.56  | | | REDUCE: (7), (22) imply:
% 71.62/10.56  | | |   (23)  $false
% 71.62/10.56  | | | 
% 71.62/10.56  | | | CLOSE: (23) is inconsistent.
% 71.62/10.56  | | | 
% 71.62/10.56  | | Case 2:
% 71.62/10.56  | | | 
% 71.62/10.56  | | |   (24)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.62/10.56  | | | 
% 71.62/10.56  | | | REF_CLOSE: (1), (2), (5), (9), (10), (11), (24) are inconsistent by
% 71.62/10.56  | | |            sub-proof #24.
% 71.62/10.56  | | | 
% 71.62/10.56  | | End of split
% 71.62/10.56  | | 
% 71.62/10.56  | End of split
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #11 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)  all_10_6 = e4
% 71.62/10.56    (2)  all_10_6 = e0
% 71.62/10.56    (3)  all_10_24 = e3
% 71.62/10.56    (4)   ~ (e3 = e0)
% 71.62/10.56    (5)  all_10_24 = e4
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (1), (2) imply:
% 71.62/10.56  |   (6)  e4 = e0
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (6) implies:
% 71.62/10.56  |   (7)  e4 = e0
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (3), (5) imply:
% 71.62/10.56  |   (8)  e4 = e3
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (8) implies:
% 71.62/10.56  |   (9)  e4 = e3
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (7), (9) imply:
% 71.62/10.56  |   (10)  e3 = e0
% 71.62/10.56  | 
% 71.62/10.56  | REDUCE: (4), (10) imply:
% 71.62/10.56  |   (11)  $false
% 71.62/10.56  | 
% 71.62/10.56  | CLOSE: (11) is inconsistent.
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #12 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)   ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))
% 71.62/10.56    (2)   ~ (all_4_0 = all_4_10)
% 71.62/10.56    (3)  all_10_0 = all_4_0
% 71.62/10.56    (4)  all_10_0 = e0
% 71.62/10.56    (5)  all_10_2 = all_4_10
% 71.62/10.56    (6)  all_10_4 = e2
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (3), (4) imply:
% 71.62/10.56  |   (7)  all_4_0 = e0
% 71.62/10.56  | 
% 71.62/10.56  | REDUCE: (2), (7) imply:
% 71.62/10.56  |   (8)   ~ (all_4_10 = e0)
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (8) implies:
% 71.62/10.56  |   (9)   ~ (all_4_10 = e0)
% 71.62/10.56  | 
% 71.62/10.56  | BETA: splitting (1) gives:
% 71.62/10.56  | 
% 71.62/10.56  | Case 1:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (10)   ~ (all_10_4 = e2)
% 71.62/10.56  | | 
% 71.62/10.56  | | REDUCE: (6), (10) imply:
% 71.62/10.56  | |   (11)  $false
% 71.62/10.56  | | 
% 71.62/10.56  | | CLOSE: (11) is inconsistent.
% 71.62/10.56  | | 
% 71.62/10.56  | Case 2:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (12)  all_10_2 = e0 &  ~ (unit = e2)
% 71.62/10.56  | | 
% 71.62/10.56  | | ALPHA: (12) implies:
% 71.62/10.56  | |   (13)  all_10_2 = e0
% 71.62/10.56  | | 
% 71.62/10.56  | | COMBINE_EQS: (5), (13) imply:
% 71.62/10.56  | |   (14)  all_4_10 = e0
% 71.62/10.56  | | 
% 71.62/10.56  | | SIMP: (14) implies:
% 71.62/10.56  | |   (15)  all_4_10 = e0
% 71.62/10.56  | | 
% 71.62/10.56  | | REDUCE: (9), (15) imply:
% 71.62/10.56  | |   (16)  $false
% 71.62/10.56  | | 
% 71.62/10.56  | | CLOSE: (16) is inconsistent.
% 71.62/10.56  | | 
% 71.62/10.56  | End of split
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #13 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)   ~ (all_4_0 = e3)
% 71.62/10.56    (2)  all_10_6 = e4
% 71.62/10.56    (3)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 71.62/10.56           all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4 &
% 71.62/10.56            ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 71.62/10.56             e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 71.62/10.56         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 &
% 71.62/10.56           all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4
% 71.62/10.56           &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7
% 71.62/10.56             = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2)) |
% 71.62/10.56         (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 71.62/10.56           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 71.62/10.56           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 71.62/10.56             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 71.62/10.56         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 71.62/10.56           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 71.62/10.56           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.62/10.56           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.62/10.56             e0))
% 71.62/10.56    (4)   ~ (all_4_0 = all_4_4)
% 71.62/10.56    (5)   ~ (e4 = e0)
% 71.62/10.56    (6)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4))
% 71.62/10.56    (7)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.56    (8)  all_10_0 = all_4_0
% 71.62/10.56    (9)   ~ (e3 = e0)
% 71.62/10.56    (10)   ~ (e4 = e2)
% 71.62/10.56    (11)  all_10_5 = e3
% 71.62/10.56    (12)   ~ (e4 = e3)
% 71.62/10.56    (13)  all_10_20 = all_4_4
% 71.62/10.56    (14)  all_10_18 = e0
% 71.62/10.56    (15)   ~ (e2 = e0)
% 71.62/10.56    (16)   ~ (e4 = e1)
% 71.62/10.56    (17)  all_10_24 = e4
% 71.62/10.56    (18)  all_10_12 = e3
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | BETA: splitting (3) gives:
% 71.62/10.56  | 
% 71.62/10.56  | Case 1:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (19)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 =
% 71.62/10.56  | |           e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 &
% 71.62/10.56  | |           all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12
% 71.62/10.56  | |           = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 71.62/10.56  | |           (all_10_3 = e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15
% 71.62/10.56  | |             = e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 71.62/10.56  | |         (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 =
% 71.62/10.56  | |           e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 71.62/10.56  | |           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.62/10.56  | | 
% 71.62/10.56  | | BETA: splitting (19) gives:
% 71.62/10.56  | | 
% 71.62/10.56  | | Case 1:
% 71.62/10.56  | | | 
% 71.62/10.56  | | |   (20)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 =
% 71.62/10.56  | | |           e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 &
% 71.62/10.56  | | |           all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.62/10.56  | | |           all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 &
% 71.62/10.56  | | |           all_10_18 = e4 &  ~ (all_10_3 = e4))
% 71.62/10.56  | | | 
% 71.62/10.56  | | | BETA: splitting (20) gives:
% 71.62/10.56  | | | 
% 71.62/10.56  | | | Case 1:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (21)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0
% 71.62/10.56  | | | |           = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | REF_CLOSE: (1), (8), (21) are inconsistent by sub-proof #181.
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | Case 2:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (22)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 71.62/10.56  | | | |         (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 71.62/10.56  | | | |         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | REF_CLOSE: (5), (12), (14), (18), (22) are inconsistent by sub-proof
% 71.62/10.56  | | | |            #200.
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | End of split
% 71.62/10.56  | | | 
% 71.62/10.56  | | Case 2:
% 71.62/10.56  | | | 
% 71.62/10.56  | | |   (23)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0
% 71.62/10.56  | | |           = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 71.62/10.56  | | |           all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.62/10.56  | | |           all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 71.62/10.56  | | |           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.62/10.56  | | | 
% 71.62/10.56  | | | BETA: splitting (23) gives:
% 71.62/10.56  | | | 
% 71.62/10.56  | | | Case 1:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (24)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 71.62/10.56  | | | |         (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | BETA: splitting (24) gives:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | Case 1:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (25)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (5), (14), (25) are inconsistent by sub-proof #199.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | Case 2:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (26)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | ALPHA: (26) implies:
% 71.62/10.56  | | | | |   (27)  all_10_0 = e0
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (4), (6), (8), (13), (17), (27) are inconsistent by
% 71.62/10.56  | | | | |            sub-proof #21.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | End of split
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | Case 2:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (28)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 71.62/10.56  | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 71.62/10.56  | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | BETA: splitting (28) gives:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | Case 1:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (29)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | ALPHA: (29) implies:
% 71.62/10.56  | | | | |   (30)  all_10_0 = e0
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (4), (6), (8), (13), (17), (30) are inconsistent by
% 71.62/10.56  | | | | |            sub-proof #21.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | Case 2:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (31)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 71.62/10.56  | | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (2), (10), (31) are inconsistent by sub-proof #197.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | End of split
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | End of split
% 71.62/10.56  | | | 
% 71.62/10.56  | | End of split
% 71.62/10.56  | | 
% 71.62/10.56  | Case 2:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (32)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 71.62/10.56  | |           e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 &
% 71.62/10.56  | |           all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24
% 71.62/10.56  | |           = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 = e2 & 
% 71.62/10.56  | |           ~ (all_10_13 = e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.62/10.56  | |           (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.62/10.56  | |           (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.62/10.56  | |           (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.62/10.56  | |           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.62/10.56  | |           (all_10_23 = e0))
% 71.62/10.56  | | 
% 71.62/10.56  | | BETA: splitting (32) gives:
% 71.62/10.56  | | 
% 71.62/10.56  | | Case 1:
% 71.62/10.56  | | | 
% 71.62/10.56  | | |   (33)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6
% 71.62/10.56  | | |           = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 &
% 71.62/10.56  | | |           all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.62/10.56  | | |           all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 71.62/10.56  | | |           all_10_18 = e2 &  ~ (all_10_13 = e2))
% 71.62/10.56  | | | 
% 71.62/10.56  | | | BETA: splitting (33) gives:
% 71.62/10.56  | | | 
% 71.62/10.56  | | | Case 1:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (34)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) |
% 71.62/10.56  | | | |         (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | REF_CLOSE: (2), (7), (9), (11), (14), (34) are inconsistent by sub-proof
% 71.62/10.56  | | | |            #19.
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | Case 2:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (35)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) |
% 71.62/10.56  | | | |         (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.62/10.56  | | | |         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | BETA: splitting (35) gives:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | Case 1:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (36)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | ALPHA: (36) implies:
% 71.62/10.56  | | | | |   (37)  all_10_24 = e3
% 71.62/10.56  | | | | |   (38)  all_10_6 = e0
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (2), (7), (9), (11), (17), (37), (38) are inconsistent by
% 71.62/10.56  | | | | |            sub-proof #18.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | Case 2:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (39)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.62/10.56  | | | | |         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | BETA: splitting (39) gives:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | Case 1:
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | |   (40)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | | ALPHA: (40) implies:
% 71.62/10.56  | | | | | |   (41)  all_10_24 = e3
% 71.62/10.56  | | | | | |   (42)  all_10_6 = e0
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | | REF_CLOSE: (2), (7), (9), (11), (17), (41), (42) are inconsistent by
% 71.62/10.56  | | | | | |            sub-proof #18.
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | Case 2:
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | |   (43)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | | REF_CLOSE: (14), (15), (43) are inconsistent by sub-proof #194.
% 71.62/10.56  | | | | | | 
% 71.62/10.56  | | | | | End of split
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | End of split
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | End of split
% 71.62/10.56  | | | 
% 71.62/10.56  | | Case 2:
% 71.62/10.56  | | | 
% 71.62/10.56  | | |   (44)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 71.62/10.56  | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)) |
% 71.62/10.56  | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.62/10.56  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.62/10.56  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.62/10.56  | | | 
% 71.62/10.56  | | | BETA: splitting (44) gives:
% 71.62/10.56  | | | 
% 71.62/10.56  | | | Case 1:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (45)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 71.62/10.56  | | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | REF_CLOSE: (2), (7), (9), (11), (14), (15), (18), (45) are inconsistent
% 71.62/10.56  | | | |            by sub-proof #16.
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | Case 2:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | |   (46)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.62/10.56  | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.62/10.56  | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | BETA: splitting (46) gives:
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | | Case 1:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (47)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | ALPHA: (47) implies:
% 71.62/10.56  | | | | |   (48)  all_10_12 = e0
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | COMBINE_EQS: (18), (48) imply:
% 71.62/10.56  | | | | |   (49)  e3 = e0
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (2), (7), (9), (11), (49) are inconsistent by sub-proof
% 71.62/10.56  | | | | |            #17.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | Case 2:
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | |   (50)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.62/10.56  | | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | | REF_CLOSE: (16), (17), (50) are inconsistent by sub-proof #14.
% 71.62/10.56  | | | | | 
% 71.62/10.56  | | | | End of split
% 71.62/10.56  | | | | 
% 71.62/10.56  | | | End of split
% 71.62/10.56  | | | 
% 71.62/10.56  | | End of split
% 71.62/10.56  | | 
% 71.62/10.56  | End of split
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #14 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0
% 71.62/10.56           & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.62/10.56    (2)  all_10_24 = e4
% 71.62/10.56    (3)   ~ (e4 = e1)
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | BETA: splitting (1) gives:
% 71.62/10.56  | 
% 71.62/10.56  | Case 1:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (4)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)
% 71.62/10.56  | | 
% 71.62/10.56  | | ALPHA: (4) implies:
% 71.62/10.56  | |   (5)  all_10_24 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #15.
% 71.62/10.56  | | 
% 71.62/10.56  | Case 2:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (6)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0)
% 71.62/10.56  | | 
% 71.62/10.56  | | ALPHA: (6) implies:
% 71.62/10.56  | |   (7)  all_10_24 = e1
% 71.62/10.56  | | 
% 71.62/10.56  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #15.
% 71.62/10.56  | | 
% 71.62/10.56  | End of split
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #15 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)  all_10_24 = e4
% 71.62/10.56    (2)  all_10_24 = e1
% 71.62/10.56    (3)   ~ (e4 = e1)
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (1), (2) imply:
% 71.62/10.56  |   (4)  e4 = e1
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (4) implies:
% 71.62/10.56  |   (5)  e4 = e1
% 71.62/10.56  | 
% 71.62/10.56  | REDUCE: (3), (5) imply:
% 71.62/10.56  |   (6)  $false
% 71.62/10.56  | 
% 71.62/10.56  | CLOSE: (6) is inconsistent.
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #16 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)  all_10_6 = e4
% 71.62/10.56    (2)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.56    (3)   ~ (e3 = e0)
% 71.62/10.56    (4)  all_10_5 = e3
% 71.62/10.56    (5)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 71.62/10.56           & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 71.62/10.56    (6)  all_10_18 = e0
% 71.62/10.56    (7)   ~ (e2 = e0)
% 71.62/10.56    (8)  all_10_12 = e3
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | BETA: splitting (5) gives:
% 71.62/10.56  | 
% 71.62/10.56  | Case 1:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (9)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 71.62/10.56  | | 
% 71.62/10.56  | | REF_CLOSE: (6), (7), (9) are inconsistent by sub-proof #193.
% 71.62/10.56  | | 
% 71.62/10.56  | Case 2:
% 71.62/10.56  | | 
% 71.62/10.56  | |   (10)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 71.62/10.56  | | 
% 71.62/10.56  | | ALPHA: (10) implies:
% 71.62/10.56  | |   (11)  all_10_12 = e0
% 71.62/10.56  | | 
% 71.62/10.56  | | COMBINE_EQS: (8), (11) imply:
% 71.62/10.56  | |   (12)  e3 = e0
% 71.62/10.56  | | 
% 71.62/10.56  | | REF_CLOSE: (1), (2), (3), (4), (12) are inconsistent by sub-proof #17.
% 71.62/10.56  | | 
% 71.62/10.56  | End of split
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #17 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)  all_10_6 = e4
% 71.62/10.56    (2)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.56    (3)   ~ (e3 = e0)
% 71.62/10.56    (4)  e3 = e0
% 71.62/10.56    (5)  all_10_5 = e3
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (4) implies:
% 71.62/10.56  |   (6)  e3 = e0
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (5), (6) imply:
% 71.62/10.56  |   (7)  all_10_5 = e0
% 71.62/10.56  | 
% 71.62/10.56  | REF_CLOSE: (1), (2), (3), (7) are inconsistent by sub-proof #274.
% 71.62/10.56  | 
% 71.62/10.56  End of proof
% 71.62/10.56  
% 71.62/10.56  Sub-proof #18 shows that the following formulas are inconsistent:
% 71.62/10.56  ----------------------------------------------------------------
% 71.62/10.56    (1)  all_10_6 = e4
% 71.62/10.56    (2)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.56    (3)  all_10_6 = e0
% 71.62/10.56    (4)  all_10_24 = e3
% 71.62/10.56    (5)   ~ (e3 = e0)
% 71.62/10.56    (6)  all_10_5 = e3
% 71.62/10.56    (7)  all_10_24 = e4
% 71.62/10.56  
% 71.62/10.56  Begin of proof
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (1), (3) imply:
% 71.62/10.56  |   (8)  e4 = e0
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (8) implies:
% 71.62/10.56  |   (9)  e4 = e0
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (4), (7) imply:
% 71.62/10.56  |   (10)  e4 = e3
% 71.62/10.56  | 
% 71.62/10.56  | SIMP: (10) implies:
% 71.62/10.56  |   (11)  e4 = e3
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (9), (11) imply:
% 71.62/10.56  |   (12)  e3 = e0
% 71.62/10.56  | 
% 71.62/10.56  | COMBINE_EQS: (6), (12) imply:
% 71.62/10.56  |   (13)  all_10_5 = e0
% 71.62/10.56  | 
% 71.62/10.57  | REF_CLOSE: (1), (2), (5), (13) are inconsistent by sub-proof #274.
% 71.62/10.57  | 
% 71.62/10.57  End of proof
% 71.62/10.57  
% 71.62/10.57  Sub-proof #19 shows that the following formulas are inconsistent:
% 71.62/10.57  ----------------------------------------------------------------
% 71.62/10.57    (1)  all_10_6 = e4
% 71.62/10.57    (2)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.57    (3)   ~ (e3 = e0)
% 71.62/10.57    (4)  all_10_5 = e3
% 71.62/10.57    (5)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 71.62/10.57           all_10_18 = e3 &  ~ (all_10_16 = e1))
% 71.62/10.57    (6)  all_10_18 = e0
% 71.62/10.57  
% 71.62/10.57  Begin of proof
% 71.62/10.57  | 
% 71.62/10.57  | BETA: splitting (5) gives:
% 71.62/10.57  | 
% 71.62/10.57  | Case 1:
% 71.62/10.57  | | 
% 71.62/10.57  | |   (7)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)
% 71.62/10.57  | | 
% 71.62/10.57  | | ALPHA: (7) implies:
% 71.62/10.57  | |   (8)  all_10_18 = e3
% 71.62/10.57  | | 
% 71.62/10.57  | | REF_CLOSE: (1), (2), (3), (4), (6), (8) are inconsistent by sub-proof #20.
% 71.62/10.57  | | 
% 71.62/10.57  | Case 2:
% 71.62/10.57  | | 
% 71.62/10.57  | |   (9)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)
% 71.62/10.57  | | 
% 71.62/10.57  | | ALPHA: (9) implies:
% 71.62/10.57  | |   (10)  all_10_18 = e3
% 71.62/10.57  | | 
% 71.62/10.57  | | REF_CLOSE: (1), (2), (3), (4), (6), (10) are inconsistent by sub-proof #20.
% 71.62/10.57  | | 
% 71.62/10.57  | End of split
% 71.62/10.57  | 
% 71.62/10.57  End of proof
% 71.62/10.57  
% 71.62/10.57  Sub-proof #20 shows that the following formulas are inconsistent:
% 71.62/10.57  ----------------------------------------------------------------
% 71.62/10.57    (1)  all_10_6 = e4
% 71.62/10.57    (2)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.57    (3)  all_10_18 = e3
% 71.62/10.57    (4)   ~ (e3 = e0)
% 71.62/10.57    (5)  all_10_5 = e3
% 71.62/10.57    (6)  all_10_18 = e0
% 71.62/10.57  
% 71.62/10.57  Begin of proof
% 71.62/10.57  | 
% 71.62/10.57  | COMBINE_EQS: (3), (6) imply:
% 71.62/10.57  |   (7)  e3 = e0
% 71.62/10.57  | 
% 71.62/10.57  | COMBINE_EQS: (5), (7) imply:
% 71.62/10.57  |   (8)  all_10_5 = e0
% 71.62/10.57  | 
% 71.62/10.57  | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #274.
% 71.62/10.57  | 
% 71.62/10.57  End of proof
% 71.62/10.57  
% 71.62/10.57  Sub-proof #21 shows that the following formulas are inconsistent:
% 71.62/10.57  ----------------------------------------------------------------
% 71.62/10.57    (1)   ~ (all_4_0 = all_4_4)
% 71.62/10.57    (2)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4))
% 71.62/10.57    (3)  all_10_0 = all_4_0
% 71.62/10.57    (4)  all_10_0 = e0
% 71.62/10.57    (5)  all_10_20 = all_4_4
% 71.62/10.57    (6)  all_10_24 = e4
% 71.62/10.57  
% 71.62/10.57  Begin of proof
% 71.62/10.57  | 
% 71.62/10.57  | COMBINE_EQS: (3), (4) imply:
% 71.62/10.57  |   (7)  all_4_0 = e0
% 71.62/10.57  | 
% 71.62/10.57  | REDUCE: (1), (7) imply:
% 71.62/10.57  |   (8)   ~ (all_4_4 = e0)
% 71.62/10.57  | 
% 71.62/10.57  | SIMP: (8) implies:
% 71.62/10.57  |   (9)   ~ (all_4_4 = e0)
% 71.62/10.57  | 
% 71.62/10.57  | REF_CLOSE: (2), (5), (6), (9) are inconsistent by sub-proof #47.
% 71.62/10.57  | 
% 71.62/10.57  End of proof
% 71.62/10.57  
% 71.62/10.57  Sub-proof #22 shows that the following formulas are inconsistent:
% 71.62/10.57  ----------------------------------------------------------------
% 71.62/10.57    (1)  all_10_6 = e4
% 71.62/10.57    (2)  op(e0, e1) = e3
% 71.62/10.57    (3)  op(e2, unit) = e2
% 71.62/10.57    (4)   ~ (e3 = e1)
% 71.62/10.57    (5)  op(e4, e1) = e1
% 71.62/10.57    (6)  all_10_14 = all_4_22
% 71.62/10.57    (7)  all_10_23 = e3
% 71.62/10.57    (8)  all_10_24 = e1
% 71.62/10.57    (9)  all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24
% 71.62/10.57         = e2
% 71.62/10.57    (10)  all_10_21 = all_4_9
% 71.62/10.57    (11)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.62/10.57                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.62/10.57                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.62/10.57                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.62/10.57                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.62/10.57                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.62/10.57              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.62/10.57                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.62/10.57                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.57              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.57              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.57              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.57              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.57              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.62/10.57              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.57              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.57              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.57              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.62/10.57                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.62/10.57            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.57              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.57              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.62/10.57              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.62/10.57                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.62/10.57                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.62/10.57                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.62/10.57                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.62/10.57            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.62/10.57              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.62/10.57                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.62/10.57                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.62/10.57                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.57              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.57              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.57              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.57              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.57              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.57              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.57              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.57              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.57              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.62/10.57                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.62/10.57            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.57              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.62/10.57              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.62/10.57                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.62/10.57              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.62/10.57                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.62/10.57            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.57              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.62/10.57                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.62/10.57                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.62/10.57                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.57                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.57                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.62/10.57                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.62/10.57              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.62/10.57              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.62/10.57              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.62/10.57                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.62/10.57            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.57              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.57              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.57              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.62/10.57              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.62/10.57              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.62/10.57              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.62/10.57                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.62/10.57                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.57              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.62/10.57                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.57              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.62/10.57                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.62/10.57            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.57              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.57              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.57              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.57              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.57                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.62/10.57            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.57              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.57              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.57              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.62/10.57                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.62/10.57                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.62/10.57                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.62/10.57                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.57              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.62/10.57                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.62/10.57                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.57              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.57              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.62/10.57              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.57              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.57              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.62/10.57                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.62/10.57            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.57              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.57    (12)  op(e3, e1) = e2
% 71.62/10.57    (13)  all_10_23 = all_4_19
% 71.62/10.57    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 71.62/10.57            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 71.62/10.57    (15)  all_8_19 = e3
% 71.62/10.57    (16)   ~ (e3 = e0)
% 71.62/10.57    (17)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 71.62/10.57    (18)   ~ (all_4_9 = e1)
% 71.62/10.57    (19)  op(e3, e0) = e0
% 71.62/10.57    (20)  op(e0, unit) = e0
% 71.62/10.57    (21)  op(e1, e0) = e3
% 71.62/10.57    (22)  op(e1, unit) = e1
% 71.62/10.57    (23)   ~ (e4 = e2)
% 71.62/10.57    (24)  all_8_17 = e0
% 71.62/10.57    (25)   ~ (all_4_19 = e0)
% 71.62/10.57    (26)  op(e2, e0) = all_4_22
% 71.62/10.57    (27)   ~ (e3 = e2)
% 71.62/10.57    (28)   ~ (all_4_22 = e0)
% 71.62/10.57    (29)   ~ (e1 = e0)
% 71.62/10.57    (30)  op(e4, unit) = e4
% 71.62/10.57    (31)  op(unit, e0) = e0
% 71.62/10.57    (32)   ~ (e2 = e1)
% 71.62/10.57    (33)  op(e2, e1) = e4
% 71.62/10.57    (34)  op(e3, unit) = e3
% 71.62/10.57    (35)  all_8_18 = all_4_22
% 71.62/10.57    (36)  all_10_18 = e0
% 71.62/10.57    (37)   ~ (e2 = e0)
% 71.62/10.57    (38)  all_10_19 = e3
% 71.62/10.57    (39)  all_8_16 = e4
% 71.62/10.57    (40)  all_10_12 = e3
% 71.62/10.57    (41)  all_8_24 = e1
% 71.62/10.57  
% 71.62/10.57  Begin of proof
% 71.62/10.57  | 
% 71.62/10.57  | BETA: splitting (9) gives:
% 71.62/10.57  | 
% 71.62/10.57  | Case 1:
% 71.62/10.57  | | 
% 71.62/10.57  | |   (42)  all_8_16 = e2
% 71.62/10.57  | | 
% 71.62/10.57  | | REF_CLOSE: (23), (39), (42) are inconsistent by sub-proof #245.
% 71.62/10.57  | | 
% 71.62/10.57  | Case 2:
% 71.62/10.57  | | 
% 71.62/10.57  | |   (43)  all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 71.62/10.57  | | 
% 71.62/10.57  | | BETA: splitting (43) gives:
% 71.62/10.57  | | 
% 71.62/10.57  | | Case 1:
% 71.62/10.57  | | | 
% 71.62/10.57  | | |   (44)  all_8_17 = e2
% 71.62/10.57  | | | 
% 71.62/10.57  | | | COMBINE_EQS: (24), (44) imply:
% 71.62/10.57  | | |   (45)  e2 = e0
% 71.62/10.57  | | | 
% 71.62/10.57  | | | REDUCE: (37), (45) imply:
% 71.62/10.57  | | |   (46)  $false
% 71.62/10.57  | | | 
% 71.62/10.57  | | | CLOSE: (46) is inconsistent.
% 71.62/10.57  | | | 
% 71.62/10.57  | | Case 2:
% 71.62/10.57  | | | 
% 71.62/10.57  | | |   (47)  all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 71.62/10.57  | | | 
% 71.62/10.57  | | | BETA: splitting (47) gives:
% 71.62/10.57  | | | 
% 71.62/10.57  | | | Case 1:
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | |   (48)  all_8_18 = e2
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | | COMBINE_EQS: (35), (48) imply:
% 71.62/10.57  | | | |   (49)  all_4_22 = e2
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | | SIMP: (49) implies:
% 71.62/10.57  | | | |   (50)  all_4_22 = e2
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | | COMBINE_EQS: (6), (50) imply:
% 71.62/10.57  | | | |   (51)  all_10_14 = e2
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | | REDUCE: (26), (50) imply:
% 71.62/10.57  | | | |   (52)  op(e2, e0) = e2
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | | BETA: splitting (11) gives:
% 71.62/10.57  | | | | 
% 71.62/10.57  | | | | Case 1:
% 71.62/10.57  | | | | | 
% 71.62/10.57  | | | | |   (53)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 71.62/10.57  | | | | |             (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 71.62/10.57  | | | | |             (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.62/10.57  | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 71.62/10.57  | | | | |             (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) | 
% 71.62/10.57  | | | | |             ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~
% 71.62/10.57  | | | | |               (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 & 
% 71.62/10.57  | | | | |               ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &
% 71.62/10.57  | | | | |                ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 71.62/10.57  | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 71.62/10.57  | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit
% 71.62/10.57  | | | | |                 = e4))) & ( ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~
% 71.62/10.57  | | | | |               (unit = e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1 &
% 71.62/10.57  | | | | |                ~ (unit = e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 71.62/10.57  | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 71.62/10.57  | | | | |               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~
% 71.62/10.57  | | | | |               (unit = e4))) & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &
% 71.62/10.57  | | | | |                ~ (unit = e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 71.62/10.57  | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.57  | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4)
% 71.62/10.57  | | | | |             |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3
% 71.62/10.57  | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 71.62/10.57  | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 71.62/10.57  | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4)
% 71.62/10.57  | | | | |             | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 =
% 71.62/10.57  | | | | |               e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.62/10.57  | | | | |               = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 71.62/10.57  | | | | |             (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 71.62/10.57  | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 71.62/10.57  | | | | |             (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 71.62/10.57  | | | | |             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) | 
% 71.62/10.57  | | | | |             ~ (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~
% 71.62/10.57  | | | | |               (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 & 
% 71.62/10.57  | | | | |               ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &
% 71.62/10.57  | | | | |                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 71.62/10.57  | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 71.62/10.57  | | | | |               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~
% 71.62/10.57  | | | | |               (unit = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &
% 71.62/10.57  | | | | |                ~ (unit = e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 71.62/10.57  | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 71.62/10.57  | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3)
% 71.62/10.57  | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2
% 71.62/10.57  | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 71.62/10.57  | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.57  | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3)
% 71.62/10.57  | | | | |             | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 =
% 71.62/10.57  | | | | |               e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 71.62/10.57  | | | | |             (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3)
% 71.62/10.57  | | | | |             | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 =
% 71.62/10.57  | | | | |               e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 71.62/10.57  | | | | | 
% 71.62/10.57  | | | | | BETA: splitting (53) gives:
% 71.62/10.57  | | | | | 
% 71.62/10.57  | | | | | Case 1:
% 71.62/10.57  | | | | | | 
% 71.62/10.57  | | | | | |   (54)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4)
% 71.62/10.57  | | | | | |           | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 71.62/10.57  | | | | | |           | (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 71.62/10.57  | | | | | |           | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4)
% 71.62/10.57  | | | | | |           | (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4)
% 71.62/10.57  | | | | | |           |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &
% 71.62/10.57  | | | | | |              ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2
% 71.62/10.57  | | | | | |             &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 =
% 71.62/10.57  | | | | | |             e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5
% 71.62/10.57  | | | | | |             = e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 71.62/10.57  | | | | | |           (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~
% 71.62/10.57  | | | | | |             (unit = e4))) & ( ~ (all_10_12 = e4) | (all_10_10 = e2 &
% 71.62/10.57  | | | | | |              ~ (unit = e4))) & ( ~ (all_10_13 = e4) | (all_10_10 =
% 71.62/10.57  | | | | | |             e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 71.62/10.57  | | | | | |           (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4)
% 71.62/10.57  | | | | | |           |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3
% 71.62/10.57  | | | | | |             &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) | (all_10_15 =
% 71.62/10.57  | | | | | |             e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.57  | | | | | |           (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4)
% 71.62/10.57  | | | | | |           | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 =
% 71.62/10.57  | | | | | |             e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 71.62/10.57  | | | | | |           (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4)
% 71.62/10.57  | | | | | |           | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 =
% 71.62/10.57  | | | | | |             e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.57  | | | | | |           (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))
% 71.62/10.57  | | | | | | 
% 71.62/10.57  | | | | | | ALPHA: (54) implies:
% 71.62/10.57  | | | | | |   (55)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 71.62/10.57  | | | | | | 
% 71.62/10.57  | | | | | | BETA: splitting (55) gives:
% 71.62/10.57  | | | | | | 
% 71.62/10.57  | | | | | | Case 1:
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | |   (56)   ~ (all_10_6 = e4)
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | | REDUCE: (1), (56) imply:
% 71.62/10.57  | | | | | | |   (57)  $false
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | | CLOSE: (57) is inconsistent.
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | Case 2:
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | |   (58)  all_10_5 = e3 &  ~ (unit = e4)
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | | ALPHA: (58) implies:
% 71.62/10.57  | | | | | | |   (59)   ~ (unit = e4)
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | | BETA: splitting (17) gives:
% 71.62/10.57  | | | | | | | 
% 71.62/10.57  | | | | | | | Case 1:
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | |   (60)  unit = e2
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | | REDUCE: (31), (60) imply:
% 71.62/10.57  | | | | | | | |   (61)  op(e2, e0) = e0
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | | REF_CLOSE: (14), (37), (52), (61) are inconsistent by sub-proof
% 71.62/10.57  | | | | | | | |            #247.
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | Case 2:
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | |   (62)  unit = e4 | unit = e1 | unit = e0
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | | BETA: splitting (62) gives:
% 71.62/10.57  | | | | | | | | 
% 71.62/10.57  | | | | | | | | Case 1:
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | |   (63)  unit = e1
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | REDUCE: (30), (63) imply:
% 71.62/10.57  | | | | | | | | |   (64)  op(e4, e1) = e4
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | REDUCE: (34), (63) imply:
% 71.62/10.57  | | | | | | | | |   (65)  op(e3, e1) = e3
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | REDUCE: (3), (63) imply:
% 71.62/10.57  | | | | | | | | |   (66)  op(e2, e1) = e2
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | REDUCE: (20), (63) imply:
% 71.62/10.57  | | | | | | | | |   (67)  op(e0, e1) = e0
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | REF_CLOSE: (2), (5), (12), (14), (29), (33), (64), (65), (66),
% 71.62/10.57  | | | | | | | | |            (67) are inconsistent by sub-proof #92.
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | Case 2:
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | |   (68)   ~ (unit = e1)
% 71.62/10.57  | | | | | | | | |   (69)  unit = e4 | unit = e0
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | BETA: splitting (69) gives:
% 71.62/10.57  | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | Case 1:
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | |   (70)  unit = e4
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | | REDUCE: (59), (70) imply:
% 71.62/10.57  | | | | | | | | | |   (71)  $false
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | | CLOSE: (71) is inconsistent.
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | Case 2:
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | |   (72)  unit = e0
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | | REDUCE: (68), (72) imply:
% 71.62/10.57  | | | | | | | | | |   (73)   ~ (e1 = e0)
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | | REDUCE: (34), (72) imply:
% 71.62/10.57  | | | | | | | | | |   (74)  op(e3, e0) = e3
% 71.62/10.57  | | | | | | | | | | 
% 71.62/10.57  | | | | | | | | | | REDUCE: (22), (72) imply:
% 71.62/10.58  | | | | | | | | | |   (75)  op(e1, e0) = e1
% 71.62/10.58  | | | | | | | | | | 
% 71.62/10.58  | | | | | | | | | | GROUND_INST: instantiating (14) with e3, e1, e0, e1,
% 71.62/10.58  | | | | | | | | | |              simplifying with (21), (75) gives:
% 71.62/10.58  | | | | | | | | | |   (76)  e3 = e1
% 71.62/10.58  | | | | | | | | | | 
% 71.62/10.58  | | | | | | | | | | GROUND_INST: instantiating (14) with e0, e3, e0, e3,
% 71.62/10.58  | | | | | | | | | |              simplifying with (19), (74) gives:
% 71.62/10.58  | | | | | | | | | |   (77)  e3 = e0
% 71.62/10.58  | | | | | | | | | | 
% 71.62/10.58  | | | | | | | | | | REF_CLOSE: (29), (76), (77) are inconsistent by sub-proof
% 71.62/10.58  | | | | | | | | | |            #98.
% 71.62/10.58  | | | | | | | | | | 
% 71.62/10.58  | | | | | | | | | End of split
% 71.62/10.58  | | | | | | | | | 
% 71.62/10.58  | | | | | | | | End of split
% 71.62/10.58  | | | | | | | | 
% 71.62/10.58  | | | | | | | End of split
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | End of split
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | Case 2:
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | |   (78)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & (
% 71.62/10.58  | | | | | |           ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3)
% 71.62/10.58  | | | | | |           | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 71.62/10.58  | | | | | |           | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3)
% 71.62/10.58  | | | | | |           | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3)
% 71.62/10.58  | | | | | |           | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 71.62/10.58  | | | | | |           |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &
% 71.62/10.58  | | | | | |              ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1
% 71.62/10.58  | | | | | |             &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 71.62/10.58  | | | | | |             e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 71.62/10.58  | | | | | |           (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 71.62/10.58  | | | | | |           |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2
% 71.62/10.58  | | | | | |             &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 =
% 71.62/10.58  | | | | | |             e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 71.62/10.58  | | | | | |           (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3)
% 71.62/10.58  | | | | | |           | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 =
% 71.62/10.58  | | | | | |             e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.58  | | | | | |           (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3)
% 71.62/10.58  | | | | | |           | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 =
% 71.62/10.58  | | | | | |             e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.58  | | | | | |           (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit = e3))) & (
% 71.62/10.58  | | | | | |           ~ (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 =
% 71.62/10.58  | | | | | |             e3) | (all_10_21 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.58  | | | | | |           (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & (
% 71.62/10.58  | | | | | |           ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | | ALPHA: (78) implies:
% 71.62/10.58  | | | | | |   (79)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | | REF_CLOSE: (7), (10), (18), (79) are inconsistent by sub-proof #64.
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | End of split
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | Case 2:
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | |   (80)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.58  | | | | |             (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.58  | | | | |             (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 71.62/10.58  | | | | |             (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.62/10.58  | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 71.62/10.58  | | | | |             (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 71.62/10.58  | | | | |             (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 71.62/10.58  | | | | |             ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 71.62/10.58  | | | | |               (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 & 
% 71.62/10.58  | | | | |               ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4
% 71.62/10.58  | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 71.62/10.58  | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 71.62/10.58  | | | | |               = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~
% 71.62/10.58  | | | | |               (unit = e2))) & ( ~ (all_10_14 = e2) | (all_10_12 = e0 &
% 71.62/10.58  | | | | |                ~ (unit = e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 71.62/10.58  | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.62/10.58  | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2)
% 71.62/10.58  | | | | |             |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1
% 71.62/10.58  | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 71.62/10.58  | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.62/10.58  | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2)
% 71.62/10.58  | | | | |             | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 =
% 71.62/10.58  | | | | |               e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.62/10.58  | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 71.62/10.58  | | | | |             | (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 =
% 71.62/10.58  | | | | |               e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1
% 71.62/10.58  | | | | |               = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | |             (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 71.62/10.58  | | | | |             (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 71.62/10.58  | | | | |             (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.58  | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 71.62/10.58  | | | | |             (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) | 
% 71.62/10.58  | | | | |             ~ (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~
% 71.62/10.58  | | | | |               (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &
% 71.62/10.58  | | | | |                ~ (unit = e1))) & ( ~ (all_10_11 = e1) | (all_10_13 =
% 71.62/10.58  | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.62/10.58  | | | | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1)
% 71.62/10.58  | | | | |             |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0
% 71.62/10.58  | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 =
% 71.62/10.58  | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.58  | | | | |             (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1)
% 71.62/10.58  | | | | |             | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 =
% 71.62/10.58  | | | | |               e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 71.62/10.58  | | | | |             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1)
% 71.62/10.58  | | | | |             | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 =
% 71.62/10.58  | | | | |               e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & (
% 71.62/10.58  | | | | |             ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 71.62/10.58  | | | | |               e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 71.62/10.58  | | | | |             (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | |             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | |             (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 71.62/10.58  | | | | |             (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.58  | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 71.62/10.58  | | | | |             (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 71.62/10.58  | | | | |             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) | 
% 71.62/10.58  | | | | |             ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 & 
% 71.62/10.58  | | | | |               ~ (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3
% 71.62/10.58  | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) | (all_10_14 =
% 71.62/10.58  | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 71.62/10.58  | | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0)
% 71.62/10.58  | | | | |             |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4
% 71.62/10.58  | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 =
% 71.62/10.58  | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.58  | | | | |             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0)
% 71.62/10.58  | | | | |             | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 71.62/10.58  | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.62/10.58  | | | | |             (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0)
% 71.62/10.58  | | | | |             | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 =
% 71.62/10.58  | | | | |               e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & (
% 71.62/10.58  | | | | |             ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | BETA: splitting (80) gives:
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | Case 1:
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | |   (81)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & (
% 71.62/10.58  | | | | | |           ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & (
% 71.62/10.58  | | | | | |           ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2)
% 71.62/10.58  | | | | | |           | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2)
% 71.62/10.58  | | | | | |           | (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2)
% 71.62/10.58  | | | | | |           | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 71.62/10.58  | | | | | |           | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2)
% 71.62/10.58  | | | | | |           |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &
% 71.62/10.58  | | | | | |              ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0
% 71.62/10.58  | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 =
% 71.62/10.58  | | | | | |             e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 71.62/10.58  | | | | | |           (all_10_12 = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2)
% 71.62/10.58  | | | | | |           |  ~ (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1
% 71.62/10.58  | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) | (all_10_12 =
% 71.62/10.58  | | | | | |             e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.62/10.58  | | | | | |           (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 71.62/10.58  | | | | | |           | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 =
% 71.62/10.58  | | | | | |             e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 71.62/10.58  | | | | | |           (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2)
% 71.62/10.58  | | | | | |           | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 =
% 71.62/10.58  | | | | | |             e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.58  | | | | | |           (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & (
% 71.62/10.58  | | | | | |           ~ (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 =
% 71.62/10.58  | | | | | |             e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.58  | | | | | |           (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit = e2)))
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | | ALPHA: (81) implies:
% 71.62/10.58  | | | | | |   (82)   ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | | REF_CLOSE: (16), (40), (51), (82) are inconsistent by sub-proof #23.
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | Case 2:
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | |   (83)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & (
% 71.62/10.58  | | | | | |             ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 =
% 71.62/10.58  | | | | | |               e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | | |             (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & (
% 71.62/10.58  | | | | | |             ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 71.62/10.58  | | | | | |               e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | | |             (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 71.62/10.58  | | | | | |           & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 71.62/10.58  | | | | | |                 e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.58  | | | | | |             (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1)))
% 71.62/10.58  | | | | | |           & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 71.62/10.58  | | | | | |                 e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~
% 71.62/10.58  | | | | | |               (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1))
% 71.62/10.58  | | | | | |           & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.62/10.58  | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~
% 71.62/10.58  | | | | | |               (unit = e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 71.62/10.58  | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23
% 71.62/10.58  | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 71.62/10.58  | | | | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 & 
% 71.62/10.58  | | | | | |               ~ (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 =
% 71.62/10.58  | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 71.62/10.58  | | | | | |             (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0)
% 71.62/10.58  | | | | | |             | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.62/10.58  | | | | | |               e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0)
% 71.62/10.58  | | | | | |             | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 71.62/10.58  | | | | | |               e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & (
% 71.62/10.58  | | | | | |             ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 =
% 71.62/10.58  | | | | | |               e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | | |             (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 71.62/10.58  | | | | | |           & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 71.62/10.58  | | | | | |                 e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.58  | | | | | |             (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | |           ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0)))
% 71.62/10.58  | | | | | |           & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit =
% 71.62/10.58  | | | | | |                 e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~
% 71.62/10.58  | | | | | |               (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0))
% 71.62/10.58  | | | | | |           & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.62/10.58  | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~
% 71.62/10.58  | | | | | |               (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2
% 71.62/10.58  | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24
% 71.62/10.58  | | | | | |               = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 71.62/10.58  | | | | | |             (unit = e0)))
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | | BETA: splitting (83) gives:
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | | Case 1:
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | |   (84)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 =
% 71.62/10.58  | | | | | | |             e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | | | |           (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & (
% 71.62/10.58  | | | | | | |           ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 71.62/10.58  | | | | | | |             e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.58  | | | | | | |           (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 71.62/10.58  | | | | | | |         & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 71.62/10.58  | | | | | | |               e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.58  | | | | | | |           (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1)))
% 71.62/10.58  | | | | | | |         & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 71.62/10.58  | | | | | | |               e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~
% 71.62/10.58  | | | | | | |             (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1))
% 71.62/10.58  | | | | | | |         & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.62/10.58  | | | | | | |               e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~
% 71.62/10.58  | | | | | | |             (unit = e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 71.62/10.58  | | | | | | |             &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23
% 71.62/10.58  | | | | | | |             = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 71.62/10.58  | | | | | | |           (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 & 
% 71.62/10.58  | | | | | | |             ~ (unit = e1)))
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | | REF_CLOSE: (8), (13), (25), (84) are inconsistent by sub-proof
% 71.62/10.58  | | | | | | |            #107.
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | Case 2:
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | |   (85)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 =
% 71.62/10.58  | | | | | | |             e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | | | |           (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & (
% 71.62/10.58  | | | | | | |           ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 =
% 71.62/10.58  | | | | | | |             e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.58  | | | | | | |           (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 71.62/10.58  | | | | | | |         & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 71.62/10.58  | | | | | | |               e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.58  | | | | | | |           (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) &
% 71.62/10.58  | | | | | | |         ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0)))
% 71.62/10.58  | | | | | | |         & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit =
% 71.62/10.58  | | | | | | |               e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~
% 71.62/10.58  | | | | | | |             (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0))
% 71.62/10.58  | | | | | | |         & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.62/10.58  | | | | | | |               e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~
% 71.62/10.58  | | | | | | |             (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2
% 71.62/10.58  | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24
% 71.62/10.58  | | | | | | |             = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 71.62/10.58  | | | | | | |           (unit = e0))
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | | REF_CLOSE: (4), (36), (38), (85) are inconsistent by sub-proof
% 71.62/10.58  | | | | | | |            #118.
% 71.62/10.58  | | | | | | | 
% 71.62/10.58  | | | | | | End of split
% 71.62/10.58  | | | | | | 
% 71.62/10.58  | | | | | End of split
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | End of split
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | Case 2:
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | |   (86)  all_8_19 = e2 | all_8_24 = e2
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | | BETA: splitting (86) gives:
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | | Case 1:
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | |   (87)  all_8_19 = e2
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | COMBINE_EQS: (15), (87) imply:
% 71.62/10.58  | | | | |   (88)  e3 = e2
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | SIMP: (88) implies:
% 71.62/10.58  | | | | |   (89)  e3 = e2
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | REDUCE: (27), (89) imply:
% 71.62/10.58  | | | | |   (90)  $false
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | CLOSE: (90) is inconsistent.
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | Case 2:
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | |   (91)  all_8_24 = e2
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | COMBINE_EQS: (41), (91) imply:
% 71.62/10.58  | | | | |   (92)  e2 = e1
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | REDUCE: (32), (92) imply:
% 71.62/10.58  | | | | |   (93)  $false
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | | CLOSE: (93) is inconsistent.
% 71.62/10.58  | | | | | 
% 71.62/10.58  | | | | End of split
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | End of split
% 71.62/10.58  | | | 
% 71.62/10.58  | | End of split
% 71.62/10.58  | | 
% 71.62/10.58  | End of split
% 71.62/10.58  | 
% 71.62/10.58  End of proof
% 71.62/10.58  
% 71.62/10.58  Sub-proof #23 shows that the following formulas are inconsistent:
% 71.62/10.58  ----------------------------------------------------------------
% 71.62/10.58    (1)   ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))
% 71.62/10.58    (2)  all_10_14 = e2
% 71.62/10.58    (3)  all_10_12 = e3
% 71.62/10.58    (4)   ~ (e3 = e0)
% 71.62/10.58  
% 71.62/10.58  Begin of proof
% 71.62/10.58  | 
% 71.62/10.58  | BETA: splitting (1) gives:
% 71.62/10.58  | 
% 71.62/10.58  | Case 1:
% 71.62/10.58  | | 
% 71.62/10.58  | |   (5)   ~ (all_10_14 = e2)
% 71.62/10.58  | | 
% 71.62/10.58  | | REDUCE: (2), (5) imply:
% 71.62/10.58  | |   (6)  $false
% 71.62/10.58  | | 
% 71.62/10.58  | | CLOSE: (6) is inconsistent.
% 71.62/10.58  | | 
% 71.62/10.58  | Case 2:
% 71.62/10.58  | | 
% 71.62/10.58  | |   (7)  all_10_12 = e0 &  ~ (unit = e2)
% 71.62/10.58  | | 
% 71.62/10.58  | | ALPHA: (7) implies:
% 71.62/10.58  | |   (8)  all_10_12 = e0
% 71.62/10.58  | | 
% 71.62/10.58  | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #159.
% 71.62/10.58  | | 
% 71.62/10.58  | End of split
% 71.62/10.58  | 
% 71.62/10.58  End of proof
% 71.62/10.58  
% 71.62/10.58  Sub-proof #24 shows that the following formulas are inconsistent:
% 71.62/10.58  ----------------------------------------------------------------
% 71.62/10.58    (1)   ~ (e3 = e1)
% 71.62/10.58    (2)  all_8_14 = all_4_13
% 71.62/10.58    (3)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.62/10.58    (4)   ~ (all_4_13 = e1)
% 71.62/10.58    (5)  all_8_15 = e0
% 71.62/10.58    (6)  all_8_19 = e3
% 71.62/10.58    (7)   ~ (e1 = e0)
% 71.62/10.58  
% 71.62/10.58  Begin of proof
% 71.62/10.58  | 
% 71.62/10.58  | BETA: splitting (3) gives:
% 71.62/10.58  | 
% 71.62/10.58  | Case 1:
% 71.62/10.58  | | 
% 71.62/10.58  | |   (8)  all_8_14 = e1
% 71.62/10.58  | | 
% 71.62/10.58  | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #142.
% 71.62/10.58  | | 
% 71.62/10.58  | Case 2:
% 71.62/10.58  | | 
% 71.62/10.58  | |   (9)  all_8_15 = e1 | all_8_19 = e1
% 71.62/10.58  | | 
% 71.62/10.58  | | BETA: splitting (9) gives:
% 71.62/10.58  | | 
% 71.62/10.58  | | Case 1:
% 71.62/10.58  | | | 
% 71.62/10.58  | | |   (10)  all_8_15 = e1
% 71.62/10.58  | | | 
% 71.62/10.58  | | | COMBINE_EQS: (5), (10) imply:
% 71.62/10.58  | | |   (11)  e1 = e0
% 71.62/10.58  | | | 
% 71.62/10.58  | | | REDUCE: (7), (11) imply:
% 71.62/10.58  | | |   (12)  $false
% 71.62/10.58  | | | 
% 71.62/10.58  | | | CLOSE: (12) is inconsistent.
% 71.62/10.58  | | | 
% 71.62/10.58  | | Case 2:
% 71.62/10.58  | | | 
% 71.62/10.58  | | |   (13)  all_8_19 = e1
% 71.62/10.58  | | | 
% 71.62/10.58  | | | COMBINE_EQS: (6), (13) imply:
% 71.62/10.58  | | |   (14)  e3 = e1
% 71.62/10.58  | | | 
% 71.62/10.58  | | | SIMP: (14) implies:
% 71.62/10.58  | | |   (15)  e3 = e1
% 71.62/10.58  | | | 
% 71.62/10.58  | | | REDUCE: (1), (15) imply:
% 71.62/10.58  | | |   (16)  $false
% 71.62/10.58  | | | 
% 71.62/10.58  | | | CLOSE: (16) is inconsistent.
% 71.62/10.58  | | | 
% 71.62/10.58  | | End of split
% 71.62/10.58  | | 
% 71.62/10.58  | End of split
% 71.62/10.58  | 
% 71.62/10.58  End of proof
% 71.62/10.58  
% 71.62/10.58  Sub-proof #25 shows that the following formulas are inconsistent:
% 71.62/10.58  ----------------------------------------------------------------
% 71.62/10.58    (1)  all_8_6 = all_4_2
% 71.62/10.58    (2)  all_6_2 = all_4_10
% 71.62/10.58    (3)  all_8_20 = e1
% 71.62/10.58    (4)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 71.62/10.58    (5)   ~ (all_4_2 = e1)
% 71.62/10.58    (6)   ~ (all_4_10 = e4)
% 71.62/10.58    (7)   ~ (all_4_10 = e3)
% 71.62/10.58    (8)  all_8_23 = e3
% 71.62/10.58    (9)  all_10_24 = all_4_24
% 71.62/10.58    (10)   ~ (all_4_0 = all_4_10)
% 71.62/10.58    (11)  all_10_0 = all_4_0
% 71.62/10.58    (12)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))
% 71.62/10.58    (13)  all_8_22 = all_4_14
% 71.62/10.58    (14)   ~ (all_4_2 = e3)
% 71.62/10.58    (15)   ~ (all_4_10 = all_4_14)
% 71.62/10.58    (16)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 71.62/10.58    (17)   ~ (all_4_24 = e3)
% 71.62/10.58    (18)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 =
% 71.62/10.58          e4
% 71.62/10.58    (19)  all_10_0 = e0
% 71.62/10.58    (20)   ~ (all_4_10 = e1)
% 71.62/10.58    (21)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 71.62/10.58          = e2
% 71.62/10.58    (22)   ~ (all_4_9 = e2)
% 71.62/10.58    (23)  all_8_24 = all_4_24
% 71.62/10.58    (24)   ~ (all_4_0 = all_4_2)
% 71.62/10.58    (25)  all_6_10 = all_4_2
% 71.62/10.58    (26)  all_10_10 = all_4_2
% 71.62/10.58    (27)  all_10_24 = e4
% 71.62/10.58    (28)  all_10_12 = e3
% 71.62/10.58    (29)  all_8_21 = all_4_9
% 71.62/10.58  
% 71.62/10.58  Begin of proof
% 71.62/10.58  | 
% 71.62/10.58  | COMBINE_EQS: (11), (19) imply:
% 71.62/10.58  |   (30)  all_4_0 = e0
% 71.62/10.58  | 
% 71.62/10.58  | COMBINE_EQS: (9), (27) imply:
% 71.62/10.58  |   (31)  all_4_24 = e4
% 71.62/10.58  | 
% 71.62/10.58  | COMBINE_EQS: (23), (31) imply:
% 71.62/10.58  |   (32)  all_8_24 = e4
% 71.62/10.58  | 
% 71.62/10.58  | REDUCE: (24), (30) imply:
% 71.62/10.58  |   (33)   ~ (all_4_2 = e0)
% 71.62/10.58  | 
% 71.62/10.58  | SIMP: (33) implies:
% 71.62/10.58  |   (34)   ~ (all_4_2 = e0)
% 71.62/10.58  | 
% 71.62/10.58  | REDUCE: (10), (30) imply:
% 71.62/10.58  |   (35)   ~ (all_4_10 = e0)
% 71.62/10.58  | 
% 71.62/10.58  | SIMP: (35) implies:
% 71.62/10.58  |   (36)   ~ (all_4_10 = e0)
% 71.62/10.58  | 
% 71.62/10.58  | REDUCE: (17), (31) imply:
% 71.62/10.58  |   (37)   ~ (e4 = e3)
% 71.62/10.58  | 
% 71.62/10.58  | BETA: splitting (18) gives:
% 71.62/10.58  | 
% 71.62/10.58  | Case 1:
% 71.62/10.58  | | 
% 71.62/10.58  | |   (38)  all_8_6 = e4
% 71.62/10.58  | | 
% 71.62/10.58  | | COMBINE_EQS: (1), (38) imply:
% 71.62/10.58  | |   (39)  all_4_2 = e4
% 71.62/10.58  | | 
% 71.62/10.58  | | SIMP: (39) implies:
% 71.62/10.58  | |   (40)  all_4_2 = e4
% 71.62/10.58  | | 
% 71.62/10.58  | | COMBINE_EQS: (26), (40) imply:
% 71.62/10.58  | |   (41)  all_10_10 = e4
% 71.62/10.58  | | 
% 71.62/10.58  | | BETA: splitting (4) gives:
% 71.62/10.58  | | 
% 71.62/10.58  | | Case 1:
% 71.62/10.58  | | | 
% 71.62/10.58  | | |   (42)  all_6_2 = e2
% 71.62/10.58  | | | 
% 71.62/10.58  | | | COMBINE_EQS: (2), (42) imply:
% 71.62/10.58  | | |   (43)  all_4_10 = e2
% 71.62/10.58  | | | 
% 71.62/10.58  | | | SIMP: (43) implies:
% 71.62/10.58  | | |   (44)  all_4_10 = e2
% 71.62/10.58  | | | 
% 71.62/10.58  | | | REDUCE: (15), (44) imply:
% 71.62/10.58  | | |   (45)   ~ (all_4_14 = e2)
% 71.62/10.58  | | | 
% 71.62/10.58  | | | SIMP: (45) implies:
% 71.62/10.58  | | |   (46)   ~ (all_4_14 = e2)
% 71.62/10.58  | | | 
% 71.62/10.58  | | | REDUCE: (7), (44) imply:
% 71.62/10.58  | | |   (47)   ~ (e3 = e2)
% 71.62/10.58  | | | 
% 71.62/10.58  | | | SIMP: (47) implies:
% 71.62/10.58  | | |   (48)   ~ (e3 = e2)
% 71.62/10.58  | | | 
% 71.62/10.58  | | | REDUCE: (20), (44) imply:
% 71.62/10.58  | | |   (49)   ~ (e2 = e1)
% 71.62/10.58  | | | 
% 71.62/10.58  | | | BETA: splitting (21) gives:
% 71.62/10.58  | | | 
% 71.62/10.58  | | | Case 1:
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | |   (50)  all_8_20 = e2
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | | COMBINE_EQS: (3), (50) imply:
% 71.62/10.58  | | | |   (51)  e2 = e1
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | | REDUCE: (49), (51) imply:
% 71.62/10.58  | | | |   (52)  $false
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | | CLOSE: (52) is inconsistent.
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | Case 2:
% 71.62/10.58  | | | | 
% 71.62/10.58  | | | |   (53)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 71.62/10.58  | | | | 
% 71.62/10.59  | | | | BETA: splitting (53) gives:
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | Case 1:
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | |   (54)  all_8_21 = e2
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | REF_CLOSE: (22), (29), (54) are inconsistent by sub-proof #70.
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | Case 2:
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | |   (55)  all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | BETA: splitting (55) gives:
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | Case 1:
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | |   (56)  all_8_22 = e2
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | | REF_CLOSE: (13), (46), (56) are inconsistent by sub-proof #26.
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | Case 2:
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | |   (57)  all_8_23 = e2 | all_8_24 = e2
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | | BETA: splitting (57) gives:
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | | Case 1:
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | |   (58)  all_8_23 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | COMBINE_EQS: (8), (58) imply:
% 71.62/10.59  | | | | | | |   (59)  e3 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | SIMP: (59) implies:
% 71.62/10.59  | | | | | | |   (60)  e3 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | REDUCE: (48), (60) imply:
% 71.62/10.59  | | | | | | |   (61)  $false
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | CLOSE: (61) is inconsistent.
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | Case 2:
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | |   (62)  all_8_24 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | COMBINE_EQS: (32), (62) imply:
% 71.62/10.59  | | | | | | |   (63)  e4 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | SIMP: (63) implies:
% 71.62/10.59  | | | | | | |   (64)  e4 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | COMBINE_EQS: (41), (64) imply:
% 71.62/10.59  | | | | | | |   (65)  all_10_10 = e2
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | REF_CLOSE: (12), (28), (37), (65) are inconsistent by sub-proof
% 71.62/10.59  | | | | | | |            #102.
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | End of split
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | End of split
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | End of split
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | End of split
% 71.62/10.59  | | | 
% 71.62/10.59  | | Case 2:
% 71.62/10.59  | | | 
% 71.62/10.59  | | |   (66)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 71.62/10.59  | | | 
% 71.62/10.59  | | | REF_CLOSE: (2), (6), (20), (36), (66) are inconsistent by sub-proof #126.
% 71.62/10.59  | | | 
% 71.62/10.59  | | End of split
% 71.62/10.59  | | 
% 71.62/10.59  | Case 2:
% 71.62/10.59  | | 
% 71.62/10.59  | |   (67)   ~ (all_8_6 = e4)
% 71.62/10.59  | | 
% 71.62/10.59  | | REDUCE: (1), (67) imply:
% 71.62/10.59  | |   (68)   ~ (all_4_2 = e4)
% 71.62/10.59  | | 
% 71.62/10.59  | | REF_CLOSE: (5), (12), (16), (25), (26), (28), (34), (37), (68) are
% 71.62/10.59  | |            inconsistent by sub-proof #31.
% 71.62/10.59  | | 
% 71.62/10.59  | End of split
% 71.62/10.59  | 
% 71.62/10.59  End of proof
% 71.62/10.59  
% 71.62/10.59  Sub-proof #26 shows that the following formulas are inconsistent:
% 71.62/10.59  ----------------------------------------------------------------
% 71.62/10.59    (1)  all_8_22 = all_4_14
% 71.62/10.59    (2)  all_8_22 = e2
% 71.62/10.59    (3)   ~ (all_4_14 = e2)
% 71.62/10.59  
% 71.62/10.59  Begin of proof
% 71.62/10.59  | 
% 71.62/10.59  | COMBINE_EQS: (1), (2) imply:
% 71.62/10.59  |   (4)  all_4_14 = e2
% 71.62/10.59  | 
% 71.62/10.59  | SIMP: (4) implies:
% 71.62/10.59  |   (5)  all_4_14 = e2
% 71.62/10.59  | 
% 71.62/10.59  | REDUCE: (3), (5) imply:
% 71.62/10.59  |   (6)  $false
% 71.62/10.59  | 
% 71.62/10.59  | CLOSE: (6) is inconsistent.
% 71.62/10.59  | 
% 71.62/10.59  End of proof
% 71.62/10.59  
% 71.62/10.59  Sub-proof #27 shows that the following formulas are inconsistent:
% 71.62/10.59  ----------------------------------------------------------------
% 71.62/10.59    (1)  all_8_6 = all_4_2
% 71.62/10.59    (2)   ~ (all_4_0 = e3)
% 71.62/10.59    (3)  all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0
% 71.62/10.59    (4)  all_10_6 = e4
% 71.62/10.59    (5)  op(e0, e1) = e3
% 71.62/10.59    (6)  op(e2, unit) = e2
% 71.62/10.59    (7)  all_6_2 = all_4_10
% 71.62/10.59    (8)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 71.62/10.59    (9)  all_8_4 = all_4_10
% 71.62/10.59    (10)  all_8_14 = all_4_13
% 71.62/10.59    (11)   ~ (all_4_4 = all_4_14)
% 71.62/10.59    (12)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 71.62/10.59            all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4
% 71.62/10.59            &  ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.62/10.59            (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.62/10.59              e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 71.62/10.59          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 71.62/10.59            all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 =
% 71.62/10.59            e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.62/10.59            (all_10_11 = e2)) | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.62/10.59              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) |
% 71.62/10.59          (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.62/10.59            all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 =
% 71.62/10.59            e2 &  ~ (all_10_13 = e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.62/10.59            (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 =
% 71.62/10.59              e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 71.62/10.59          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 =
% 71.62/10.59            e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.62/10.59    (13)   ~ (all_4_2 = e1)
% 71.62/10.59    (14)   ~ (all_4_13 = e1)
% 71.62/10.59    (15)  op(unit, e3) = e3
% 71.62/10.59    (16)  all_10_23 = e3
% 71.62/10.59    (17)   ~ (all_4_7 = e4)
% 71.62/10.59    (18)  all_10_24 = all_4_24
% 71.62/10.59    (19)   ~ (all_4_2 = all_4_4)
% 71.62/10.59    (20)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20
% 71.62/10.59          = e0
% 71.62/10.59    (21)   ~ (all_4_4 = all_4_24)
% 71.62/10.59    (22)  all_10_21 = all_4_9
% 71.62/10.59    (23)  all_10_0 = all_4_0
% 71.62/10.59    (24)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.62/10.59                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.62/10.59                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.62/10.59                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.62/10.59                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.62/10.59                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.62/10.59              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.62/10.59                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.62/10.59                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.59              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.59              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.59              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.59              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.59              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.62/10.59              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.59              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.59              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.59              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.62/10.59                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.62/10.59            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.59              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.59              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.62/10.59              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.62/10.59                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.62/10.59                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.62/10.59                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.62/10.59                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.62/10.59            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.62/10.59              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.62/10.59                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.62/10.59                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.62/10.59                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.59              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.59              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.59              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.59              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.59              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.59              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.59              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.59              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.59              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.62/10.59                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.62/10.59            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.59              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.62/10.59              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.62/10.59                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.62/10.59              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.62/10.59                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.62/10.59            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.59              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.62/10.59                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.62/10.59                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.62/10.59                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.59                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.59                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.62/10.59                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.62/10.59              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.62/10.59              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.62/10.59              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.62/10.59                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.62/10.59            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.59              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.59              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.59              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.62/10.59              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.62/10.59              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.62/10.59              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.62/10.59                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.62/10.59                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.59              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.62/10.59                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.59              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.62/10.59                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.62/10.59            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.59              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.59              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.59              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.59              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.59                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.62/10.59            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.59              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.59              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.59              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.62/10.59                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.62/10.59                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.62/10.59                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.62/10.59                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.59              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.62/10.59                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.62/10.59                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.59              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.59              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.62/10.59              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.59              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.59              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.62/10.59                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.62/10.59            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.59              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.59    (25)  op(e3, e1) = e2
% 71.62/10.59    (26)  op(e2, e1) = e1
% 71.62/10.59    (27)  all_10_23 = all_4_19
% 71.62/10.59    (28)  all_8_8 = e3
% 71.62/10.59    (29)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 71.62/10.59            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 71.62/10.59    (30)   ~ (e3 = e0)
% 71.62/10.59    (31)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 =
% 71.62/10.59          e0
% 71.62/10.59    (32)  op(unit, e2) = e2
% 71.62/10.59    (33)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 71.62/10.59    (34)  op(e3, e0) = e0
% 71.62/10.59    (35)  all_8_22 = all_4_14
% 71.62/10.59    (36)   ~ (all_4_2 = e3)
% 71.62/10.59    (37)  op(e0, unit) = e0
% 71.62/10.59    (38)  all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 =
% 71.62/10.59          e2
% 71.62/10.59    (39)   ~ (all_4_10 = all_4_14)
% 71.62/10.59    (40)  op(e3, e2) = e1
% 71.62/10.59    (41)  op(e1, e0) = e3
% 71.62/10.59    (42)   ~ (all_4_14 = e3)
% 71.62/10.59    (43)  op(e1, unit) = e1
% 71.62/10.59    (44)   ~ (all_4_19 = e0)
% 71.62/10.59    (45)  all_10_22 = all_4_14
% 71.62/10.59    (46)  all_6_20 = all_4_4
% 71.62/10.59    (47)   ~ (all_4_24 = e3)
% 71.62/10.59    (48)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 =
% 71.62/10.59          e4
% 71.62/10.59    (49)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 71.62/10.59    (50)   ~ (all_4_9 = all_4_24)
% 71.62/10.59    (51)   ~ (all_4_22 = e1)
% 71.62/10.59    (52)   ~ (e4 = e3)
% 71.62/10.59    (53)   ~ (all_4_13 = e4)
% 71.62/10.59    (54)  op(e4, e2) = all_4_10
% 71.62/10.59    (55)  all_8_7 = all_4_7
% 71.62/10.59    (56)   ~ (all_4_22 = e0)
% 71.62/10.59    (57)   ~ (all_4_2 = e4)
% 71.62/10.59    (58)   ~ (all_4_10 = e1)
% 71.62/10.59    (59)   ~ (all_4_13 = e3)
% 71.62/10.59    (60)   ~ (all_4_13 = all_4_14)
% 71.62/10.59    (61)  all_8_11 = e1
% 71.62/10.59    (62)   ~ (all_4_22 = e3)
% 71.62/10.59    (63)   ~ (all_4_2 = all_4_22)
% 71.62/10.59    (64)  all_6_10 = all_4_2
% 71.62/10.59    (65)  all_10_10 = all_4_2
% 71.62/10.59    (66)  all_10_20 = all_4_4
% 71.62/10.59    (67)  op(e2, e3) = all_4_7
% 71.62/10.59    (68)  op(e3, unit) = e3
% 71.62/10.59    (69)   ~ (all_4_10 = all_4_13)
% 71.62/10.59    (70)   ~ (all_4_4 = e3)
% 71.62/10.59    (71)  all_8_18 = all_4_22
% 71.62/10.59    (72)  all_10_18 = e0
% 71.62/10.59    (73)  all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22 =
% 71.62/10.59          e0
% 71.62/10.59    (74)   ~ (all_4_7 = e1)
% 71.62/10.59    (75)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 | all_6_10
% 71.62/10.59          = e0
% 71.62/10.59    (76)  all_10_19 = e3
% 71.62/10.59    (77)   ~ (e4 = e1)
% 71.62/10.59    (78)   ~ (all_4_13 = e0)
% 71.62/10.59    (79)  all_6_17 = all_4_13
% 71.62/10.59    (80)  all_10_12 = e3
% 71.62/10.59    (81)   ~ (all_4_22 = all_4_24)
% 71.62/10.59  
% 71.62/10.59  Begin of proof
% 71.62/10.59  | 
% 71.62/10.59  | BETA: splitting (48) gives:
% 71.62/10.59  | 
% 71.62/10.59  | Case 1:
% 71.62/10.59  | | 
% 71.62/10.59  | |   (82)  all_8_6 = e4
% 71.62/10.59  | | 
% 71.62/10.59  | | REF_CLOSE: (1), (57), (82) are inconsistent by sub-proof #61.
% 71.62/10.59  | | 
% 71.62/10.59  | Case 2:
% 71.62/10.59  | | 
% 71.62/10.59  | |   (83)  all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 71.62/10.59  | | 
% 71.62/10.59  | | BETA: splitting (83) gives:
% 71.62/10.59  | | 
% 71.62/10.59  | | Case 1:
% 71.62/10.59  | | | 
% 71.62/10.59  | | |   (84)  all_8_7 = e4
% 71.62/10.59  | | | 
% 71.62/10.59  | | | COMBINE_EQS: (55), (84) imply:
% 71.62/10.59  | | |   (85)  all_4_7 = e4
% 71.62/10.59  | | | 
% 71.62/10.59  | | | SIMP: (85) implies:
% 71.62/10.59  | | |   (86)  all_4_7 = e4
% 71.62/10.59  | | | 
% 71.62/10.59  | | | REDUCE: (17), (86) imply:
% 71.62/10.59  | | |   (87)  $false
% 71.62/10.59  | | | 
% 71.62/10.59  | | | CLOSE: (87) is inconsistent.
% 71.62/10.59  | | | 
% 71.62/10.59  | | Case 2:
% 71.62/10.59  | | | 
% 71.62/10.59  | | |   (88)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 71.62/10.59  | | | 
% 71.62/10.59  | | | BETA: splitting (3) gives:
% 71.62/10.59  | | | 
% 71.62/10.59  | | | Case 1:
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | |   (89)  all_6_17 = e2
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | COMBINE_EQS: (79), (89) imply:
% 71.62/10.59  | | | |   (90)  all_4_13 = e2
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | COMBINE_EQS: (10), (90) imply:
% 71.62/10.59  | | | |   (91)  all_8_14 = e2
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | REDUCE: (69), (90) imply:
% 71.62/10.59  | | | |   (92)   ~ (all_4_10 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | REDUCE: (60), (90) imply:
% 71.62/10.59  | | | |   (93)   ~ (all_4_14 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | SIMP: (93) implies:
% 71.62/10.59  | | | |   (94)   ~ (all_4_14 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | REDUCE: (53), (90) imply:
% 71.62/10.59  | | | |   (95)   ~ (e4 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | SIMP: (95) implies:
% 71.62/10.59  | | | |   (96)   ~ (e4 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | REDUCE: (59), (90) imply:
% 71.62/10.59  | | | |   (97)   ~ (e3 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | SIMP: (97) implies:
% 71.62/10.59  | | | |   (98)   ~ (e3 = e2)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | REDUCE: (14), (90) imply:
% 71.62/10.59  | | | |   (99)   ~ (e2 = e1)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | REDUCE: (78), (90) imply:
% 71.62/10.59  | | | |   (100)   ~ (e2 = e0)
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | BETA: splitting (49) gives:
% 71.62/10.59  | | | | 
% 71.62/10.59  | | | | Case 1:
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | |   (101)  all_8_8 = e4
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | COMBINE_EQS: (28), (101) imply:
% 71.62/10.59  | | | | |   (102)  e4 = e3
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | REDUCE: (52), (102) imply:
% 71.62/10.59  | | | | |   (103)  $false
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | CLOSE: (103) is inconsistent.
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | Case 2:
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | |   (104)   ~ (all_8_8 = e4)
% 71.62/10.59  | | | | |   (105)  all_8_14 = e4 | all_8_22 = e4
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | REDUCE: (28), (104) imply:
% 71.62/10.59  | | | | |   (106)   ~ (e4 = e3)
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | BETA: splitting (8) gives:
% 71.62/10.59  | | | | | 
% 71.62/10.59  | | | | | Case 1:
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | |   (107)  all_6_2 = e2
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | | REF_CLOSE: (7), (92), (107) are inconsistent by sub-proof #129.
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | Case 2:
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | |   (108)   ~ (all_6_2 = e2)
% 71.62/10.59  | | | | | |   (109)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | | BETA: splitting (88) gives:
% 71.62/10.59  | | | | | | 
% 71.62/10.59  | | | | | | Case 1:
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | |   (110)  all_8_8 = e4
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | COMBINE_EQS: (28), (110) imply:
% 71.62/10.59  | | | | | | |   (111)  e4 = e3
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | REDUCE: (52), (111) imply:
% 71.62/10.59  | | | | | | |   (112)  $false
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | CLOSE: (112) is inconsistent.
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | Case 2:
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | |   (113)  all_8_11 = e4 | all_8_18 = e4
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | BETA: splitting (113) gives:
% 71.62/10.59  | | | | | | | 
% 71.62/10.59  | | | | | | | Case 1:
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | |   (114)  all_8_11 = e4
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | COMBINE_EQS: (61), (114) imply:
% 71.62/10.59  | | | | | | | |   (115)  e4 = e1
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | REDUCE: (77), (115) imply:
% 71.62/10.59  | | | | | | | |   (116)  $false
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | CLOSE: (116) is inconsistent.
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | Case 2:
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | |   (117)  all_8_18 = e4
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | COMBINE_EQS: (71), (117) imply:
% 71.62/10.59  | | | | | | | |   (118)  all_4_22 = e4
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | SIMP: (118) implies:
% 71.62/10.59  | | | | | | | |   (119)  all_4_22 = e4
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | REDUCE: (81), (119) imply:
% 71.62/10.59  | | | | | | | |   (120)   ~ (all_4_24 = e4)
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | SIMP: (120) implies:
% 71.62/10.59  | | | | | | | |   (121)   ~ (all_4_24 = e4)
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | REDUCE: (56), (119) imply:
% 71.62/10.59  | | | | | | | |   (122)   ~ (e4 = e0)
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | BETA: splitting (12) gives:
% 71.62/10.59  | | | | | | | | 
% 71.62/10.59  | | | | | | | | Case 1:
% 71.62/10.59  | | | | | | | | | 
% 71.62/10.59  | | | | | | | | |   (123)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4))
% 71.62/10.59  | | | | | | | | |          | (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 =
% 71.62/10.59  | | | | | | | | |              e3)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.62/10.59  | | | | | | | | |            (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4
% 71.62/10.59  | | | | | | | | |            &  ~ (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18
% 71.62/10.59  | | | | | | | | |            = e4 &  ~ (all_10_3 = e4)) | (all_10_0 = e1 &
% 71.62/10.59  | | | | | | | | |            all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 =
% 71.62/10.59  | | | | | | | | |            e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 71.62/10.59  | | | | | | | | |          (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.62/10.59  | | | | | | | | |              e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.62/10.59  | | | | | | | | |            (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3
% 71.62/10.59  | | | | | | | | |            &  ~ (all_10_11 = e2))
% 71.62/10.59  | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | BETA: splitting (123) gives:
% 71.62/10.59  | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | Case 1:
% 71.62/10.59  | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | |   (124)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.62/10.59  | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.62/10.59  | | | | | | | | | |            (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 =
% 71.62/10.59  | | | | | | | | | |            e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 71.62/10.59  | | | | | | | | | |            all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0
% 71.62/10.59  | | | | | | | | | |            = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 71.62/10.59  | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | BETA: splitting (124) gives:
% 71.62/10.59  | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | Case 1:
% 71.62/10.59  | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | |   (125)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 =
% 71.62/10.59  | | | | | | | | | | |              e4)) | (all_10_0 = e3 & all_10_6 = e4 &  ~
% 71.62/10.59  | | | | | | | | | | |            (all_10_5 = e3))
% 71.62/10.59  | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | REF_CLOSE: (2), (23), (125) are inconsistent by sub-proof
% 71.62/10.59  | | | | | | | | | | |            #181.
% 71.62/10.59  | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | Case 2:
% 71.62/10.59  | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | |   (126)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 71.62/10.59  | | | | | | | | | | |              e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~
% 71.62/10.59  | | | | | | | | | | |            (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 =
% 71.62/10.59  | | | | | | | | | | |            e4 &  ~ (all_10_3 = e4))
% 71.62/10.59  | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | BETA: splitting (126) gives:
% 71.62/10.59  | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | Case 1:
% 71.62/10.59  | | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | |   (127)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 =
% 71.62/10.59  | | | | | | | | | | | |            e4)
% 71.62/10.59  | | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | | REF_CLOSE: (52), (80), (127) are inconsistent by sub-proof
% 71.62/10.59  | | | | | | | | | | | |            #203.
% 71.62/10.59  | | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | Case 2:
% 71.62/10.59  | | | | | | | | | | | | 
% 71.62/10.59  | | | | | | | | | | | |   (128)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 71.62/10.59  | | | | | | | | | | | |              e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 71.62/10.59  | | | | | | | | | | | |            (all_10_3 = e4))
% 71.62/10.59  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | BETA: splitting (128) gives:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | |   (129)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 71.62/10.60  | | | | | | | | | | | | |            e2)
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | REF_CLOSE: (52), (80), (129) are inconsistent by sub-proof
% 71.62/10.60  | | | | | | | | | | | | |            #202.
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | |   (130)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 =
% 71.62/10.60  | | | | | | | | | | | | |            e4)
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | ALPHA: (130) implies:
% 71.62/10.60  | | | | | | | | | | | | |   (131)  all_10_18 = e4
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | REF_CLOSE: (61), (72), (77), (113), (117), (122), (131) are
% 71.62/10.60  | | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | |   (132)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.62/10.60  | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.62/10.60  | | | | | | | | | |            (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 =
% 71.62/10.60  | | | | | | | | | |            e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.62/10.60  | | | | | | | | | |            all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 71.62/10.60  | | | | | | | | | |            = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | BETA: splitting (132) gives:
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | |   (133)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.62/10.60  | | | | | | | | | | |              e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~
% 71.62/10.60  | | | | | | | | | | |            (all_10_4 = e4))
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | BETA: splitting (133) gives:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | |   (134)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 =
% 71.62/10.60  | | | | | | | | | | | |            e1)
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | ALPHA: (134) implies:
% 71.62/10.60  | | | | | | | | | | | |   (135)  all_10_18 = e4
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | REF_CLOSE: (61), (72), (77), (113), (117), (122), (135) are
% 71.62/10.60  | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | |   (136)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 =
% 71.62/10.60  | | | | | | | | | | | |            e4)
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | ALPHA: (136) implies:
% 71.62/10.60  | | | | | | | | | | | |   (137)  all_10_24 = e4
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | REF_CLOSE: (18), (121), (137) are inconsistent by sub-proof
% 71.62/10.60  | | | | | | | | | | | |            #34.
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | |   (138)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 =
% 71.62/10.60  | | | | | | | | | | |              e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 71.62/10.60  | | | | | | | | | | |            (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 =
% 71.62/10.60  | | | | | | | | | | |            e3 &  ~ (all_10_11 = e2))
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | REF_CLOSE: (4), (18), (96), (121), (138) are inconsistent by
% 71.62/10.60  | | | | | | | | | | |            sub-proof #33.
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | 
% 71.62/10.60  | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | 
% 71.62/10.60  | | | | | | | | |   (139)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3))
% 71.62/10.60  | | | | | | | | |          | (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 =
% 71.62/10.60  | | | | | | | | |              e1)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.62/10.60  | | | | | | | | |            (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3
% 71.62/10.60  | | | | | | | | |            &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 71.62/10.60  | | | | | | | | |            all_10_18 = e2 &  ~ (all_10_13 = e2)) | (all_10_12
% 71.62/10.60  | | | | | | | | |            = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 71.62/10.60  | | | | | | | | |          (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 =
% 71.62/10.60  | | | | | | | | |              e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.62/10.60  | | | | | | | | |            (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 =
% 71.62/10.60  | | | | | | | | |            e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0 &
% 71.62/10.60  | | | | | | | | |            all_10_24 = e1 &  ~ (all_10_23 = e0))
% 71.62/10.60  | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | BETA: splitting (139) gives:
% 71.62/10.60  | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | |   (140)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.62/10.60  | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.62/10.60  | | | | | | | | | |            (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 =
% 71.62/10.60  | | | | | | | | | |            e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 71.62/10.60  | | | | | | | | | |            all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 71.62/10.60  | | | | | | | | | |          (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.62/10.60  | | | | | | | | | |              e2))
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | BETA: splitting (140) gives:
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | |   (141)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 =
% 71.62/10.60  | | | | | | | | | | |              e3)) | (all_10_6 = e1 & all_10_18 = e3 &  ~
% 71.62/10.60  | | | | | | | | | | |            (all_10_16 = e1))
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | REF_CLOSE: (30), (72), (141) are inconsistent by sub-proof
% 71.62/10.60  | | | | | | | | | | |            #195.
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | |   (142)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.62/10.60  | | | | | | | | | | |              e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~
% 71.62/10.60  | | | | | | | | | | |            (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18
% 71.62/10.60  | | | | | | | | | | |            = e2 &  ~ (all_10_13 = e2))
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | BETA: splitting (142) gives:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | |   (143)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 =
% 71.62/10.60  | | | | | | | | | | | |            e3)
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | ALPHA: (143) implies:
% 71.62/10.60  | | | | | | | | | | | |   (144)  all_10_6 = e0
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | REF_CLOSE: (4), (61), (77), (113), (117), (122), (144) are
% 71.62/10.60  | | | | | | | | | | | |            inconsistent by sub-proof #32.
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | |   (145)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 =
% 71.62/10.60  | | | | | | | | | | | |              e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 71.62/10.60  | | | | | | | | | | | |            (all_10_13 = e2))
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | BETA: splitting (145) gives:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | |   (146)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 =
% 71.62/10.60  | | | | | | | | | | | | |            e0)
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | ALPHA: (146) implies:
% 71.62/10.60  | | | | | | | | | | | | |   (147)  all_10_6 = e0
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | REF_CLOSE: (4), (61), (77), (113), (117), (122), (147) are
% 71.62/10.60  | | | | | | | | | | | | |            inconsistent by sub-proof #32.
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | |   (148)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 =
% 71.62/10.60  | | | | | | | | | | | | |            e2)
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | REF_CLOSE: (72), (100), (148) are inconsistent by sub-proof
% 71.62/10.60  | | | | | | | | | | | | |            #194.
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | |   (149)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.62/10.60  | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.62/10.60  | | | | | | | | | |            (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 71.62/10.60  | | | | | | | | | |            e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 71.62/10.60  | | | | | | | | | |            all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 71.62/10.60  | | | | | | | | | |          (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.62/10.60  | | | | | | | | | |              e0))
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | BETA: splitting (149) gives:
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | |   (150)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 =
% 71.62/10.60  | | | | | | | | | | |              e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 71.62/10.60  | | | | | | | | | | |            (all_10_14 = e2))
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | REF_CLOSE: (30), (72), (80), (100), (150) are inconsistent by
% 71.62/10.60  | | | | | | | | | | |            sub-proof #158.
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | |   (151)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.62/10.60  | | | | | | | | | | |              e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.62/10.60  | | | | | | | | | | |            (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24
% 71.62/10.60  | | | | | | | | | | |            = e1 &  ~ (all_10_23 = e0))
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | BETA: splitting (151) gives:
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | |   (152)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 =
% 71.62/10.60  | | | | | | | | | | | |            e0)
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | ALPHA: (152) implies:
% 71.62/10.60  | | | | | | | | | | | |   (153)  all_10_12 = e0
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | REF_CLOSE: (30), (80), (153) are inconsistent by sub-proof
% 71.62/10.60  | | | | | | | | | | | |            #159.
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | |   (154)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.62/10.60  | | | | | | | | | | | |              e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.62/10.60  | | | | | | | | | | | |            (all_10_23 = e0))
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | BETA: splitting (154) gives:
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | Case 1:
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | |   (155)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 =
% 71.62/10.60  | | | | | | | | | | | | |            e1)
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | ALPHA: (155) implies:
% 71.62/10.60  | | | | | | | | | | | | |   (156)  all_10_24 = e1
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (7), (9), (11), (13), (15), (16),
% 71.62/10.60  | | | | | | | | | | | | |            (18), (19), (20), (21), (22), (24), (25), (26),
% 71.62/10.60  | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 71.62/10.60  | | | | | | | | | | | | |            (36), (37), (38), (39), (40), (41), (42), (43),
% 71.62/10.60  | | | | | | | | | | | | |            (44), (45), (46), (47), (50), (54), (55), (57),
% 71.62/10.60  | | | | | | | | | | | | |            (58), (61), (64), (65), (66), (67), (68), (70),
% 71.62/10.60  | | | | | | | | | | | | |            (72), (73), (74), (75), (76), (80), (91), (92),
% 71.62/10.60  | | | | | | | | | | | | |            (94), (96), (98), (99), (105), (109), (117), (156)
% 71.62/10.60  | | | | | | | | | | | | |            are inconsistent by sub-proof #28.
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | Case 2:
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | |   (157)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.62/10.60  | | | | | | | | | | | | |            e0)
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | ALPHA: (157) implies:
% 71.62/10.60  | | | | | | | | | | | | |   (158)  all_10_24 = e1
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | | REF_CLOSE: (1), (5), (6), (7), (9), (11), (13), (15), (16),
% 71.62/10.60  | | | | | | | | | | | | |            (18), (19), (20), (21), (22), (24), (25), (26),
% 71.62/10.60  | | | | | | | | | | | | |            (27), (28), (29), (31), (32), (33), (34), (35),
% 71.62/10.60  | | | | | | | | | | | | |            (36), (37), (38), (39), (40), (41), (42), (43),
% 71.62/10.60  | | | | | | | | | | | | |            (44), (45), (46), (47), (50), (54), (55), (57),
% 71.62/10.60  | | | | | | | | | | | | |            (58), (61), (64), (65), (66), (67), (68), (70),
% 71.62/10.60  | | | | | | | | | | | | |            (72), (73), (74), (75), (76), (80), (91), (92),
% 71.62/10.60  | | | | | | | | | | | | |            (94), (96), (98), (99), (105), (109), (117), (158)
% 71.62/10.60  | | | | | | | | | | | | |            are inconsistent by sub-proof #28.
% 71.62/10.60  | | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | | 
% 71.62/10.60  | | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | | 
% 71.62/10.60  | | | | | | | | End of split
% 71.62/10.60  | | | | | | | | 
% 71.62/10.60  | | | | | | | End of split
% 71.62/10.60  | | | | | | | 
% 71.62/10.60  | | | | | | End of split
% 71.62/10.60  | | | | | | 
% 71.62/10.60  | | | | | End of split
% 71.62/10.60  | | | | | 
% 71.62/10.60  | | | | End of split
% 71.62/10.60  | | | | 
% 71.62/10.60  | | | Case 2:
% 71.62/10.60  | | | | 
% 71.62/10.60  | | | |   (159)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 71.62/10.60  | | | | 
% 71.62/10.60  | | | | REF_CLOSE: (14), (53), (78), (79), (159) are inconsistent by sub-proof
% 71.62/10.60  | | | |            #140.
% 71.62/10.60  | | | | 
% 71.62/10.60  | | | End of split
% 71.62/10.60  | | | 
% 71.62/10.60  | | End of split
% 71.62/10.60  | | 
% 71.62/10.60  | End of split
% 71.62/10.60  | 
% 71.62/10.60  End of proof
% 71.62/10.60  
% 71.62/10.60  Sub-proof #28 shows that the following formulas are inconsistent:
% 71.62/10.60  ----------------------------------------------------------------
% 71.62/10.60    (1)  all_8_6 = all_4_2
% 71.62/10.60    (2)  op(e0, e1) = e3
% 71.62/10.60    (3)  op(e2, unit) = e2
% 71.62/10.60    (4)  all_6_2 = all_4_10
% 71.62/10.60    (5)  all_8_4 = all_4_10
% 71.62/10.60    (6)   ~ (all_4_4 = all_4_14)
% 71.62/10.60    (7)   ~ (all_4_2 = e1)
% 71.62/10.60    (8)  op(unit, e3) = e3
% 71.62/10.60    (9)  all_10_23 = e3
% 71.62/10.60    (10)  all_10_24 = all_4_24
% 71.62/10.60    (11)  all_10_24 = e1
% 71.62/10.60    (12)   ~ (all_4_2 = all_4_4)
% 71.62/10.60    (13)  all_8_14 = e4 | all_8_22 = e4
% 71.62/10.60    (14)  all_8_14 = e2
% 71.62/10.60    (15)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20
% 71.62/10.60          = e0
% 71.62/10.60    (16)   ~ (all_4_4 = all_4_24)
% 71.62/10.60    (17)  all_10_21 = all_4_9
% 71.62/10.60    (18)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.62/10.60                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.62/10.60                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.62/10.60                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.62/10.60                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.62/10.60                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.62/10.60              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.62/10.60                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.62/10.60                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.60              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.60              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.60              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.60              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.60              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.62/10.60              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.60              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.60              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.60              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.62/10.60                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.62/10.60            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.60              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.60              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.62/10.60              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.62/10.60                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.62/10.60                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.62/10.60                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.62/10.60                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.62/10.60            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.62/10.60              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.62/10.60                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.62/10.60                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.62/10.60                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.60              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.60              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.60              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.60              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.60              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.60              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.60              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.60              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.60              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.62/10.60                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.62/10.60            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.60              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.62/10.60              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.62/10.60                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.62/10.60              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.62/10.60                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.62/10.60            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.60              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.62/10.60                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.62/10.60                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.62/10.60                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.60                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.60                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.62/10.60                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.62/10.60              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.62/10.60              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.62/10.60              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.62/10.60                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.62/10.60            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.60              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.60              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.60              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.62/10.60              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.62/10.60              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.62/10.60              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.62/10.60                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.62/10.60                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.60              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.62/10.60                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.60              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.62/10.60                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.62/10.60            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.60              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.60              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.60              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.60              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.60                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.62/10.60            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.60              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.60              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.60              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.62/10.60                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.62/10.60                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.62/10.60                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.62/10.60                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.60              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.62/10.60                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.62/10.60                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.60              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.60              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.62/10.60              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.60              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.60              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.62/10.60                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.62/10.60            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.60              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.60    (19)  op(e3, e1) = e2
% 71.62/10.60    (20)  op(e2, e1) = e1
% 71.62/10.60    (21)  all_10_23 = all_4_19
% 71.62/10.60    (22)  all_8_8 = e3
% 71.62/10.60    (23)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 71.62/10.60            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 71.62/10.60    (24)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 =
% 71.62/10.60          e0
% 71.62/10.60    (25)  op(unit, e2) = e2
% 71.62/10.60    (26)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 71.62/10.60    (27)  op(e3, e0) = e0
% 71.62/10.60    (28)  all_8_22 = all_4_14
% 71.62/10.60    (29)   ~ (all_4_2 = e3)
% 71.62/10.60    (30)  op(e0, unit) = e0
% 71.62/10.60    (31)  all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 =
% 71.62/10.60          e2
% 71.62/10.60    (32)   ~ (all_4_10 = all_4_14)
% 71.62/10.60    (33)  op(e3, e2) = e1
% 71.62/10.60    (34)  op(e1, e0) = e3
% 71.62/10.60    (35)   ~ (all_4_14 = e3)
% 71.62/10.60    (36)  op(e1, unit) = e1
% 71.62/10.60    (37)   ~ (e4 = e2)
% 71.62/10.60    (38)   ~ (all_4_19 = e0)
% 71.62/10.60    (39)  all_10_22 = all_4_14
% 71.62/10.60    (40)  all_6_20 = all_4_4
% 71.62/10.60    (41)   ~ (all_4_14 = e2)
% 71.62/10.60    (42)   ~ (all_4_24 = e3)
% 71.62/10.60    (43)   ~ (all_4_9 = all_4_24)
% 71.62/10.60    (44)   ~ (e3 = e2)
% 71.62/10.60    (45)  op(e4, e2) = all_4_10
% 71.62/10.60    (46)  all_8_7 = all_4_7
% 71.62/10.60    (47)   ~ (all_4_2 = e4)
% 71.62/10.60    (48)   ~ (all_4_10 = e1)
% 71.62/10.60    (49)  all_8_11 = e1
% 71.62/10.60    (50)   ~ (e2 = e1)
% 71.62/10.60    (51)  all_8_18 = e4
% 71.62/10.60    (52)  all_6_10 = all_4_2
% 71.62/10.60    (53)  all_10_10 = all_4_2
% 71.62/10.60    (54)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 71.62/10.60    (55)  all_10_20 = all_4_4
% 71.62/10.60    (56)  op(e2, e3) = all_4_7
% 71.62/10.60    (57)  op(e3, unit) = e3
% 71.62/10.60    (58)   ~ (all_4_4 = e3)
% 71.62/10.60    (59)  all_10_18 = e0
% 71.62/10.60    (60)   ~ (all_4_10 = e2)
% 71.62/10.60    (61)  all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22 =
% 71.62/10.60          e0
% 71.62/10.60    (62)   ~ (all_4_7 = e1)
% 71.62/10.60    (63)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 | all_6_10
% 71.62/10.60          = e0
% 71.62/10.60    (64)  all_10_19 = e3
% 71.62/10.60    (65)  all_10_12 = e3
% 71.62/10.60  
% 71.62/10.60  Begin of proof
% 71.62/10.60  | 
% 71.62/10.60  | COMBINE_EQS: (10), (11) imply:
% 71.62/10.60  |   (66)  all_4_24 = e1
% 71.62/10.60  | 
% 71.62/10.60  | SIMP: (66) implies:
% 71.62/10.60  |   (67)  all_4_24 = e1
% 71.62/10.60  | 
% 71.62/10.60  | REDUCE: (16), (67) imply:
% 71.62/10.60  |   (68)   ~ (all_4_4 = e1)
% 71.62/10.60  | 
% 71.62/10.60  | REDUCE: (43), (67) imply:
% 71.62/10.60  |   (69)   ~ (all_4_9 = e1)
% 71.62/10.60  | 
% 71.62/10.60  | REDUCE: (42), (67) imply:
% 71.62/10.60  |   (70)   ~ (e3 = e1)
% 71.62/10.60  | 
% 71.62/10.60  | SIMP: (70) implies:
% 71.62/10.60  |   (71)   ~ (e3 = e1)
% 71.62/10.60  | 
% 71.62/10.60  | BETA: splitting (13) gives:
% 71.62/10.60  | 
% 71.62/10.60  | Case 1:
% 71.62/10.60  | | 
% 71.62/10.60  | |   (72)  all_8_14 = e4
% 71.62/10.60  | | 
% 71.62/10.60  | | COMBINE_EQS: (14), (72) imply:
% 71.62/10.60  | |   (73)  e4 = e2
% 71.62/10.60  | | 
% 71.62/10.60  | | REDUCE: (37), (73) imply:
% 71.62/10.60  | |   (74)  $false
% 71.62/10.60  | | 
% 71.62/10.60  | | CLOSE: (74) is inconsistent.
% 71.62/10.60  | | 
% 71.62/10.60  | Case 2:
% 71.62/10.60  | | 
% 71.62/10.60  | |   (75)  all_8_22 = e4
% 71.62/10.60  | | 
% 71.62/10.60  | | COMBINE_EQS: (28), (75) imply:
% 71.62/10.60  | |   (76)  all_4_14 = e4
% 71.62/10.60  | | 
% 71.62/10.60  | | SIMP: (76) implies:
% 71.62/10.60  | |   (77)  all_4_14 = e4
% 71.62/10.60  | | 
% 71.62/10.60  | | COMBINE_EQS: (39), (77) imply:
% 71.62/10.60  | |   (78)  all_10_22 = e4
% 71.62/10.60  | | 
% 71.62/10.60  | | REDUCE: (6), (77) imply:
% 71.62/10.60  | |   (79)   ~ (all_4_4 = e4)
% 71.62/10.60  | | 
% 71.62/10.60  | | REDUCE: (32), (77) imply:
% 71.62/10.60  | |   (80)   ~ (all_4_10 = e4)
% 71.62/10.60  | | 
% 71.62/10.60  | | REDUCE: (35), (77) imply:
% 71.62/10.60  | |   (81)   ~ (e4 = e3)
% 71.62/10.60  | | 
% 71.62/10.60  | | BETA: splitting (61) gives:
% 71.62/10.60  | | 
% 71.62/10.60  | | Case 1:
% 71.62/10.60  | | | 
% 71.62/10.60  | | |   (82)  all_8_4 = e0
% 71.62/10.60  | | | 
% 71.62/10.60  | | | COMBINE_EQS: (5), (82) imply:
% 71.62/10.60  | | |   (83)  all_4_10 = e0
% 71.62/10.60  | | | 
% 71.62/10.60  | | | SIMP: (83) implies:
% 71.62/10.60  | | |   (84)  all_4_10 = e0
% 71.62/10.60  | | | 
% 71.62/10.60  | | | REDUCE: (60), (84) imply:
% 71.62/10.60  | | |   (85)   ~ (e2 = e0)
% 71.62/10.60  | | | 
% 71.62/10.60  | | | SIMP: (85) implies:
% 71.62/10.60  | | |   (86)   ~ (e2 = e0)
% 71.62/10.60  | | | 
% 71.62/10.60  | | | REDUCE: (48), (84) imply:
% 71.62/10.60  | | |   (87)   ~ (e1 = e0)
% 71.62/10.60  | | | 
% 71.62/10.60  | | | SIMP: (87) implies:
% 71.62/10.61  | | |   (88)   ~ (e1 = e0)
% 71.62/10.61  | | | 
% 71.62/10.61  | | | REDUCE: (45), (84) imply:
% 71.62/10.61  | | |   (89)  op(e4, e2) = e0
% 71.62/10.61  | | | 
% 71.62/10.61  | | | BETA: splitting (63) gives:
% 71.62/10.61  | | | 
% 71.62/10.61  | | | Case 1:
% 71.62/10.61  | | | | 
% 71.62/10.61  | | | |   (90)  all_6_10 = e3
% 71.62/10.61  | | | | 
% 71.62/10.61  | | | | REF_CLOSE: (29), (52), (90) are inconsistent by sub-proof #240.
% 71.62/10.61  | | | | 
% 71.62/10.61  | | | Case 2:
% 71.62/10.61  | | | | 
% 71.62/10.61  | | | |   (91)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 71.62/10.61  | | | | 
% 71.62/10.61  | | | | BETA: splitting (15) gives:
% 71.62/10.61  | | | | 
% 71.62/10.61  | | | | Case 1:
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | |   (92)  all_6_20 = e3
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | | COMBINE_EQS: (40), (92) imply:
% 71.62/10.61  | | | | |   (93)  all_4_4 = e3
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | | REDUCE: (58), (93) imply:
% 71.62/10.61  | | | | |   (94)  $false
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | | CLOSE: (94) is inconsistent.
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | Case 2:
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | |   (95)  all_6_20 = e4 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | | BETA: splitting (31) gives:
% 71.62/10.61  | | | | | 
% 71.62/10.61  | | | | | Case 1:
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | |   (96)  all_8_6 = e2
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | COMBINE_EQS: (1), (96) imply:
% 71.62/10.61  | | | | | |   (97)  all_4_2 = e2
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | SIMP: (97) implies:
% 71.62/10.61  | | | | | |   (98)  all_4_2 = e2
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | REDUCE: (12), (98) imply:
% 71.62/10.61  | | | | | |   (99)   ~ (all_4_4 = e2)
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | SIMP: (99) implies:
% 71.62/10.61  | | | | | |   (100)   ~ (all_4_4 = e2)
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | BETA: splitting (95) gives:
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | Case 1:
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | |   (101)  all_6_20 = e2
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | | COMBINE_EQS: (40), (101) imply:
% 71.62/10.61  | | | | | | |   (102)  all_4_4 = e2
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | | REDUCE: (100), (102) imply:
% 71.62/10.61  | | | | | | |   (103)  $false
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | | CLOSE: (103) is inconsistent.
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | Case 2:
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | |   (104)   ~ (all_6_20 = e2)
% 71.62/10.61  | | | | | | |   (105)  all_6_20 = e4 | all_6_20 = e1 | all_6_20 = e0
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | | BETA: splitting (24) gives:
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | |   (106)  all_8_6 = e0
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | COMBINE_EQS: (1), (106) imply:
% 71.62/10.61  | | | | | | | |   (107)  all_4_2 = e0
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | SIMP: (107) implies:
% 71.62/10.61  | | | | | | | |   (108)  all_4_2 = e0
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | REDUCE: (12), (108) imply:
% 71.62/10.61  | | | | | | | |   (109)   ~ (all_4_4 = e0)
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | SIMP: (109) implies:
% 71.62/10.61  | | | | | | | |   (110)   ~ (all_4_4 = e0)
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | BETA: splitting (105) gives:
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | |   (111)  all_6_20 = e1
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | COMBINE_EQS: (40), (111) imply:
% 71.62/10.61  | | | | | | | | |   (112)  all_4_4 = e1
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | SIMP: (112) implies:
% 71.62/10.61  | | | | | | | | |   (113)  all_4_4 = e1
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | REDUCE: (68), (113) imply:
% 71.62/10.61  | | | | | | | | |   (114)  $false
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | CLOSE: (114) is inconsistent.
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | |   (115)  all_6_20 = e4 | all_6_20 = e0
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | REF_CLOSE: (40), (79), (110), (115) are inconsistent by
% 71.62/10.61  | | | | | | | | |            sub-proof #130.
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | End of split
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | |   (116)   ~ (all_8_6 = e0)
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | REDUCE: (1), (116) imply:
% 71.62/10.61  | | | | | | | |   (117)   ~ (all_4_2 = e0)
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | BETA: splitting (18) gives:
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | |   (118)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.62/10.61  | | | | | | | | |              (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4
% 71.62/10.61  | | | | | | | | |                = e4) | (all_10_0 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 71.62/10.61  | | | | | | | | |                = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) |
% 71.62/10.61  | | | | | | | | |              (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e4))) & ( ~ (all_10_12 = e4) | (all_10_10 =
% 71.62/10.61  | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 71.62/10.61  | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e4))) & ( ~ (all_10_15 = e4) |  ~ (unit =
% 71.62/10.61  | | | | | | | | |                e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &
% 71.62/10.61  | | | | | | | | |                 ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.61  | | | | | | | | |              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e4))) & ( ~ (all_10_19 = e4) | (all_10_15 =
% 71.62/10.61  | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) | 
% 71.62/10.61  | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 71.62/10.61  | | | | | | | | |              (all_10_20 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e4))) & ( ~ (all_10_23 = e4) | (all_10_20 =
% 71.62/10.61  | | | | | | | | |                e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 71.62/10.61  | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.62/10.61  | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3))
% 71.62/10.61  | | | | | | | | |            & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 71.62/10.61  | | | | | | | | |              (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5
% 71.62/10.61  | | | | | | | | |                = e3) | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7
% 71.62/10.61  | | | | | | | | |                = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 71.62/10.61  | | | | | | | | |              (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_13 = e3) | (all_10_11 =
% 71.62/10.61  | | | | | | | | |                e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 71.62/10.61  | | | | | | | | |              (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_16 = e3) |  ~ (unit =
% 71.62/10.61  | | | | | | | | |                e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &
% 71.62/10.61  | | | | | | | | |                 ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.61  | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_20 = e3) | (all_10_21 =
% 71.62/10.61  | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) | 
% 71.62/10.61  | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 71.62/10.61  | | | | | | | | |              (all_10_21 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e3))) & ( ~ (all_10_24 = e3) | (all_10_21 =
% 71.62/10.61  | | | | | | | | |                e0 &  ~ (unit = e3))))
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | BETA: splitting (118) gives:
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | |   (119)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 71.62/10.61  | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 71.62/10.61  | | | | | | | | | |            (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4
% 71.62/10.61  | | | | | | | | | |              = e4) | (all_10_0 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 71.62/10.61  | | | | | | | | | |              = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1
% 71.62/10.61  | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) |
% 71.62/10.61  | | | | | | | | | |            (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e4))) & ( ~ (all_10_12 = e4) | (all_10_10 =
% 71.62/10.61  | | | | | | | | | |              e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 71.62/10.61  | | | | | | | | | |            (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e4))) & ( ~ (all_10_15 = e4) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |              e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &
% 71.62/10.61  | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.61  | | | | | | | | | |            (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e4))) & ( ~ (all_10_19 = e4) | (all_10_15 =
% 71.62/10.61  | | | | | | | | | |              e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) | 
% 71.62/10.61  | | | | | | | | | |            ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 71.62/10.61  | | | | | | | | | |            (all_10_20 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e4))) & ( ~ (all_10_23 = e4) | (all_10_20 =
% 71.62/10.61  | | | | | | | | | |              e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 71.62/10.61  | | | | | | | | | |            (all_10_20 = e0 &  ~ (unit = e4)))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | ALPHA: (119) implies:
% 71.62/10.61  | | | | | | | | | |   (120)   ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |              e4))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | BETA: splitting (120) gives:
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | |   (121)   ~ (all_10_22 = e4)
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | REDUCE: (78), (121) imply:
% 71.62/10.61  | | | | | | | | | | |   (122)  $false
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | |   (123)  all_10_20 = e2 &  ~ (unit = e4)
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | ALPHA: (123) implies:
% 71.62/10.61  | | | | | | | | | | |   (124)  all_10_20 = e2
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | COMBINE_EQS: (55), (124) imply:
% 71.62/10.61  | | | | | | | | | | |   (125)  all_4_4 = e2
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | REDUCE: (100), (125) imply:
% 71.62/10.61  | | | | | | | | | | |   (126)  $false
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | CLOSE: (126) is inconsistent.
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | End of split
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | |   (127)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3))
% 71.62/10.61  | | | | | | | | | |          & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1
% 71.62/10.61  | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 71.62/10.61  | | | | | | | | | |            (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5
% 71.62/10.61  | | | | | | | | | |              = e3) | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7
% 71.62/10.61  | | | | | | | | | |              = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0
% 71.62/10.61  | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 71.62/10.61  | | | | | | | | | |            (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_13 = e3) | (all_10_11 =
% 71.62/10.61  | | | | | | | | | |              e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 71.62/10.61  | | | | | | | | | |            (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_16 = e3) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |              e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &
% 71.62/10.61  | | | | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.61  | | | | | | | | | |            (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_20 = e3) | (all_10_21 =
% 71.62/10.61  | | | | | | | | | |              e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) | 
% 71.62/10.61  | | | | | | | | | |            ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 71.62/10.61  | | | | | | | | | |            (all_10_21 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e3))) & ( ~ (all_10_24 = e3) | (all_10_21 =
% 71.62/10.61  | | | | | | | | | |              e0 &  ~ (unit = e3)))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | ALPHA: (127) implies:
% 71.62/10.61  | | | | | | | | | |   (128)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |              e3))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | REF_CLOSE: (9), (17), (69), (128) are inconsistent by
% 71.62/10.61  | | | | | | | | | |            sub-proof #64.
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | End of split
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | |   (129)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 71.62/10.61  | | | | | | | | |              (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 71.62/10.61  | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.62/10.61  | | | | | | | | |              (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5
% 71.62/10.61  | | | | | | | | |                = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_7 = e2) |  ~ (unit = e2))
% 71.62/10.61  | | | | | | | | |            & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 71.62/10.61  | | | | | | | | |              (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit =
% 71.62/10.61  | | | | | | | | |                e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &
% 71.62/10.61  | | | | | | | | |                 ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 71.62/10.61  | | | | | | | | |              (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_16 = e2) | (all_10_17 =
% 71.62/10.61  | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) | 
% 71.62/10.61  | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 71.62/10.61  | | | | | | | | |              (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_20 = e2) | (all_10_22 =
% 71.62/10.61  | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.62/10.61  | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 71.62/10.61  | | | | | | | | |                e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.62/10.61  | | | | | | | | |              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1
% 71.62/10.61  | | | | | | | | |                = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1))
% 71.62/10.61  | | | | | | | | |            & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.61  | | | | | | | | |              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7
% 71.62/10.61  | | | | | | | | |                = e1) | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9
% 71.62/10.61  | | | | | | | | |                = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e1))) & ( ~ (all_10_11 = e1) | (all_10_13 =
% 71.62/10.61  | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.62/10.61  | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e1))) & ( ~ (all_10_15 = e1) | (all_10_18 =
% 71.62/10.61  | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.61  | | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e1))) & ( ~ (all_10_18 = e1) |  ~ (unit =
% 71.62/10.61  | | | | | | | | |                e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &
% 71.62/10.61  | | | | | | | | |                 ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 71.62/10.61  | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 71.62/10.61  | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) | 
% 71.62/10.61  | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.61  | | | | | | | | |              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 71.62/10.61  | | | | | | | | |              (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.62/10.61  | | | | | | | | |              (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3
% 71.62/10.61  | | | | | | | | |                = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.62/10.61  | | | | | | | | |                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e0))) & ( ~ (all_10_7 = e0) | (all_10_9 = e2
% 71.62/10.61  | | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 71.62/10.61  | | | | | | | | |              (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9
% 71.62/10.61  | | | | | | | | |                = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0)
% 71.62/10.61  | | | | | | | | |              | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e0))) & ( ~ (all_10_12 = e0) | (all_10_14 =
% 71.62/10.61  | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 71.62/10.61  | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e0))) & ( ~ (all_10_16 = e0) | (all_10_19 =
% 71.62/10.61  | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.61  | | | | | | | | |              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e0))) & ( ~ (all_10_19 = e0) |  ~ (unit =
% 71.62/10.61  | | | | | | | | |                e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &
% 71.62/10.61  | | | | | | | | |                 ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 71.62/10.61  | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | |                  e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 71.62/10.61  | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) | 
% 71.62/10.61  | | | | | | | | |              ~ (unit = e0)))
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | BETA: splitting (129) gives:
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | |   (130)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 71.62/10.61  | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 71.62/10.61  | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 71.62/10.61  | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 71.62/10.61  | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5
% 71.62/10.61  | | | | | | | | | |              = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_7 = e2) |  ~ (unit = e2))
% 71.62/10.61  | | | | | | | | | |          & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0
% 71.62/10.61  | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 71.62/10.61  | | | | | | | | | |            (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_12 = e2) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |              e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &
% 71.62/10.61  | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 71.62/10.61  | | | | | | | | | |            (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_16 = e2) | (all_10_17 =
% 71.62/10.61  | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) | 
% 71.62/10.61  | | | | | | | | | |            ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 71.62/10.61  | | | | | | | | | |            (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_20 = e2) | (all_10_22 =
% 71.62/10.61  | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 71.62/10.61  | | | | | | | | | |            (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 71.62/10.61  | | | | | | | | | |            (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 71.62/10.61  | | | | | | | | | |              e0 &  ~ (unit = e2)))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | ALPHA: (130) implies:
% 71.62/10.61  | | | | | | | | | |   (131)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |              e2))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | REF_CLOSE: (7), (47), (52), (53), (65), (81), (91), (117),
% 71.62/10.61  | | | | | | | | | |            (131) are inconsistent by sub-proof #31.
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | |   (132)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 71.62/10.61  | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 71.62/10.61  | | | | | | | | | |              (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.62/10.61  | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.61  | | | | | | | | | |              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &
% 71.62/10.61  | | | | | | | | | |                 ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.62/10.61  | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 71.62/10.61  | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1)
% 71.62/10.61  | | | | | | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.61  | | | | | | | | | |              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 71.62/10.61  | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1)
% 71.62/10.61  | | | | | | | | | |              | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 71.62/10.61  | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1)
% 71.62/10.61  | | | | | | | | | |              | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 71.62/10.61  | | | | | | | | | |                &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.61  | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 71.62/10.61  | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 71.62/10.61  | | | | | | | | | |              (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 71.62/10.61  | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 71.62/10.61  | | | | | | | | | |              (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4
% 71.62/10.61  | | | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 71.62/10.61  | | | | | | | | | |              (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 71.62/10.61  | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0)
% 71.62/10.61  | | | | | | | | | |              |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.61  | | | | | | | | | |              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 71.62/10.61  | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0)
% 71.62/10.61  | | | | | | | | | |              | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 71.62/10.61  | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0)
% 71.62/10.61  | | | | | | | | | |              | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                  e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | |                e0)))
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | BETA: splitting (132) gives:
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | Case 1:
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | |   (133)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 71.62/10.61  | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 71.62/10.61  | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 71.62/10.61  | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 71.62/10.61  | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 71.62/10.61  | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 71.62/10.61  | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 71.62/10.61  | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 71.62/10.61  | | | | | | | | | | |              &  ~ (unit = e1)))
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | REF_CLOSE: (11), (21), (38), (133) are inconsistent by
% 71.62/10.61  | | | | | | | | | | |            sub-proof #107.
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | Case 2:
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | |   (134)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 71.62/10.61  | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 71.62/10.61  | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 71.62/10.61  | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 71.62/10.61  | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 71.62/10.61  | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 71.62/10.61  | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 71.62/10.61  | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 71.62/10.61  | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 71.62/10.61  | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 71.62/10.61  | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 71.62/10.61  | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.61  | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 71.62/10.61  | | | | | | | | | | |              e0))
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | | REF_CLOSE: (59), (64), (71), (134) are inconsistent by
% 71.62/10.61  | | | | | | | | | | |            sub-proof #118.
% 71.62/10.61  | | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | | End of split
% 71.62/10.61  | | | | | | | | | | 
% 71.62/10.61  | | | | | | | | | End of split
% 71.62/10.61  | | | | | | | | | 
% 71.62/10.61  | | | | | | | | End of split
% 71.62/10.61  | | | | | | | | 
% 71.62/10.61  | | | | | | | End of split
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | End of split
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | Case 2:
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | |   (135)  all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | BETA: splitting (135) gives:
% 71.62/10.61  | | | | | | 
% 71.62/10.61  | | | | | | Case 1:
% 71.62/10.61  | | | | | | | 
% 71.62/10.61  | | | | | | |   (136)  all_8_7 = e2
% 71.62/10.61  | | | | | | | 
% 71.62/10.62  | | | | | | | REF_CLOSE: (2), (3), (8), (19), (20), (23), (25), (26), (27),
% 71.62/10.62  | | | | | | |            (30), (33), (34), (36), (46), (56), (57), (62), (86),
% 71.62/10.62  | | | | | | |            (88), (89), (136) are inconsistent by sub-proof #30.
% 71.62/10.62  | | | | | | | 
% 71.62/10.62  | | | | | | Case 2:
% 71.62/10.62  | | | | | | | 
% 71.62/10.62  | | | | | | |   (137)  all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2
% 71.62/10.62  | | | | | | | 
% 71.62/10.62  | | | | | | | BETA: splitting (137) gives:
% 71.62/10.62  | | | | | | | 
% 71.62/10.62  | | | | | | | Case 1:
% 71.62/10.62  | | | | | | | | 
% 71.62/10.62  | | | | | | | |   (138)  all_8_8 = e2
% 71.62/10.62  | | | | | | | | 
% 71.62/10.62  | | | | | | | | REF_CLOSE: (22), (44), (138) are inconsistent by sub-proof #171.
% 71.62/10.62  | | | | | | | | 
% 71.62/10.62  | | | | | | | Case 2:
% 71.62/10.62  | | | | | | | | 
% 71.62/10.62  | | | | | | | |   (139)  all_8_11 = e2 | all_8_18 = e2
% 71.62/10.62  | | | | | | | | 
% 71.62/10.62  | | | | | | | | REF_CLOSE: (37), (49), (50), (51), (139) are inconsistent by
% 71.62/10.62  | | | | | | | |            sub-proof #29.
% 71.62/10.62  | | | | | | | | 
% 71.62/10.62  | | | | | | | End of split
% 71.62/10.62  | | | | | | | 
% 71.62/10.62  | | | | | | End of split
% 71.62/10.62  | | | | | | 
% 71.62/10.62  | | | | | End of split
% 71.62/10.62  | | | | | 
% 71.62/10.62  | | | | End of split
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | End of split
% 71.62/10.62  | | | 
% 71.62/10.62  | | Case 2:
% 71.62/10.62  | | | 
% 71.62/10.62  | | |   (140)   ~ (all_8_4 = e0)
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REDUCE: (5), (140) imply:
% 71.62/10.62  | | |   (141)   ~ (all_4_10 = e0)
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REF_CLOSE: (4), (48), (54), (80), (141) are inconsistent by sub-proof
% 71.62/10.62  | | |            #126.
% 71.62/10.62  | | | 
% 71.62/10.62  | | End of split
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #29 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_8_11 = e2 | all_8_18 = e2
% 71.62/10.62    (2)   ~ (e4 = e2)
% 71.62/10.62    (3)  all_8_11 = e1
% 71.62/10.62    (4)   ~ (e2 = e1)
% 71.62/10.62    (5)  all_8_18 = e4
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | BETA: splitting (1) gives:
% 71.62/10.62  | 
% 71.62/10.62  | Case 1:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (6)  all_8_11 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | COMBINE_EQS: (3), (6) imply:
% 71.62/10.62  | |   (7)  e2 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | REDUCE: (4), (7) imply:
% 71.62/10.62  | |   (8)  $false
% 71.62/10.62  | | 
% 71.62/10.62  | | CLOSE: (8) is inconsistent.
% 71.62/10.62  | | 
% 71.62/10.62  | Case 2:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (9)  all_8_18 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | COMBINE_EQS: (5), (9) imply:
% 71.62/10.62  | |   (10)  e4 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | REDUCE: (2), (10) imply:
% 71.62/10.62  | |   (11)  $false
% 71.62/10.62  | | 
% 71.62/10.62  | | CLOSE: (11) is inconsistent.
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #30 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  op(e0, e1) = e3
% 71.62/10.62    (2)  op(e2, unit) = e2
% 71.62/10.62    (3)  op(unit, e3) = e3
% 71.62/10.62    (4)  all_8_7 = e2
% 71.62/10.62    (5)  op(e3, e1) = e2
% 71.62/10.62    (6)  op(e2, e1) = e1
% 71.62/10.62    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 71.62/10.62           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 71.62/10.62    (8)  op(unit, e2) = e2
% 71.62/10.62    (9)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 71.62/10.62    (10)  op(e3, e0) = e0
% 71.62/10.62    (11)  op(e4, e2) = e0
% 71.62/10.62    (12)  op(e0, unit) = e0
% 71.62/10.62    (13)  op(e3, e2) = e1
% 71.62/10.62    (14)  op(e1, e0) = e3
% 71.62/10.62    (15)  op(e1, unit) = e1
% 71.62/10.62    (16)  all_8_7 = all_4_7
% 71.62/10.62    (17)   ~ (e1 = e0)
% 71.62/10.62    (18)  op(e2, e3) = all_4_7
% 71.62/10.62    (19)  op(e3, unit) = e3
% 71.62/10.62    (20)   ~ (e2 = e0)
% 71.62/10.62    (21)   ~ (all_4_7 = e1)
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (4), (16) imply:
% 71.62/10.62  |   (22)  all_4_7 = e2
% 71.62/10.62  | 
% 71.62/10.62  | SIMP: (22) implies:
% 71.62/10.62  |   (23)  all_4_7 = e2
% 71.62/10.62  | 
% 71.62/10.62  | REDUCE: (21), (23) imply:
% 71.62/10.62  |   (24)   ~ (e2 = e1)
% 71.62/10.62  | 
% 71.62/10.62  | REDUCE: (18), (23) imply:
% 71.62/10.62  |   (25)  op(e2, e3) = e2
% 71.62/10.62  | 
% 71.62/10.62  | BETA: splitting (9) gives:
% 71.62/10.62  | 
% 71.62/10.62  | Case 1:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (26)  unit = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | REF_CLOSE: (3), (7), (13), (19), (24), (25), (26) are inconsistent by
% 71.62/10.62  | |            sub-proof #133.
% 71.62/10.62  | | 
% 71.62/10.62  | Case 2:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (27)  unit = e4 | unit = e1 | unit = e0
% 71.62/10.62  | | 
% 71.62/10.62  | | BETA: splitting (27) gives:
% 71.62/10.62  | | 
% 71.62/10.62  | | Case 1:
% 71.62/10.62  | | | 
% 71.62/10.62  | | |   (28)  unit = e1
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REDUCE: (19), (28) imply:
% 71.62/10.62  | | |   (29)  op(e3, e1) = e3
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REDUCE: (2), (28) imply:
% 71.62/10.62  | | |   (30)  op(e2, e1) = e2
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REDUCE: (12), (28) imply:
% 71.62/10.62  | | |   (31)  op(e0, e1) = e0
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REF_CLOSE: (1), (5), (6), (7), (17), (29), (30), (31) are inconsistent by
% 71.62/10.62  | | |            sub-proof #99.
% 71.62/10.62  | | | 
% 71.62/10.62  | | Case 2:
% 71.62/10.62  | | | 
% 71.62/10.62  | | |   (32)   ~ (unit = e1)
% 71.62/10.62  | | |   (33)  unit = e4 | unit = e0
% 71.62/10.62  | | | 
% 71.62/10.62  | | | BETA: splitting (33) gives:
% 71.62/10.62  | | | 
% 71.62/10.62  | | | Case 1:
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | |   (34)  unit = e4
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | REDUCE: (8), (34) imply:
% 71.62/10.62  | | | |   (35)  op(e4, e2) = e2
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | GROUND_INST: instantiating (7) with e0, e2, e2, e4, simplifying with
% 71.62/10.62  | | | |              (11), (35) gives:
% 71.62/10.62  | | | |   (36)  e2 = e0
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | REDUCE: (20), (36) imply:
% 71.62/10.62  | | | |   (37)  $false
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | CLOSE: (37) is inconsistent.
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | Case 2:
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | |   (38)  unit = e0
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | REDUCE: (32), (38) imply:
% 71.62/10.62  | | | |   (39)   ~ (e1 = e0)
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | REDUCE: (19), (38) imply:
% 71.62/10.62  | | | |   (40)  op(e3, e0) = e3
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | REDUCE: (15), (38) imply:
% 71.62/10.62  | | | |   (41)  op(e1, e0) = e1
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | GROUND_INST: instantiating (7) with e3, e1, e0, e1, simplifying with
% 71.62/10.62  | | | |              (14), (41) gives:
% 71.62/10.62  | | | |   (42)  e3 = e1
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | GROUND_INST: instantiating (7) with e0, e3, e0, e3, simplifying with
% 71.62/10.62  | | | |              (10), (40) gives:
% 71.62/10.62  | | | |   (43)  e3 = e0
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | | REF_CLOSE: (17), (42), (43) are inconsistent by sub-proof #98.
% 71.62/10.62  | | | | 
% 71.62/10.62  | | | End of split
% 71.62/10.62  | | | 
% 71.62/10.62  | | End of split
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #31 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)   ~ (all_4_2 = e1)
% 71.62/10.62    (2)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))
% 71.62/10.62    (3)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 71.62/10.62    (4)   ~ (e4 = e3)
% 71.62/10.62    (5)   ~ (all_4_2 = e4)
% 71.62/10.62    (6)   ~ (all_4_2 = e0)
% 71.62/10.62    (7)  all_6_10 = all_4_2
% 71.62/10.62    (8)  all_10_10 = all_4_2
% 71.62/10.62    (9)  all_10_12 = e3
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | BETA: splitting (3) gives:
% 71.62/10.62  | 
% 71.62/10.62  | Case 1:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (10)  all_6_10 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | COMBINE_EQS: (7), (10) imply:
% 71.62/10.62  | |   (11)  all_4_2 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | SIMP: (11) implies:
% 71.62/10.62  | |   (12)  all_4_2 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | COMBINE_EQS: (8), (12) imply:
% 71.62/10.62  | |   (13)  all_10_10 = e2
% 71.62/10.62  | | 
% 71.62/10.62  | | REF_CLOSE: (2), (4), (9), (13) are inconsistent by sub-proof #102.
% 71.62/10.62  | | 
% 71.62/10.62  | Case 2:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (14)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 71.62/10.62  | | 
% 71.62/10.62  | | REF_CLOSE: (1), (5), (6), (7), (14) are inconsistent by sub-proof #235.
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #32 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_10_6 = e4
% 71.62/10.62    (2)   ~ (e4 = e0)
% 71.62/10.62    (3)  all_10_6 = e0
% 71.62/10.62    (4)  all_8_11 = e4 | all_8_18 = e4
% 71.62/10.62    (5)  all_8_11 = e1
% 71.62/10.62    (6)  all_8_18 = e4
% 71.62/10.62    (7)   ~ (e4 = e1)
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (1), (3) imply:
% 71.62/10.62  |   (8)  e4 = e0
% 71.62/10.62  | 
% 71.62/10.62  | SIMP: (8) implies:
% 71.62/10.62  |   (9)  e4 = e0
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (6), (9) imply:
% 71.62/10.62  |   (10)  all_8_18 = e0
% 71.62/10.62  | 
% 71.62/10.62  | REF_CLOSE: (2), (4), (5), (7), (10) are inconsistent by sub-proof #112.
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #33 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_10_6 = e4
% 71.62/10.62    (2)  all_10_24 = all_4_24
% 71.62/10.62    (3)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 71.62/10.62           all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3
% 71.62/10.62           &  ~ (all_10_11 = e2))
% 71.62/10.62    (4)   ~ (e4 = e2)
% 71.62/10.62    (5)   ~ (all_4_24 = e4)
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | BETA: splitting (3) gives:
% 71.62/10.62  | 
% 71.62/10.62  | Case 1:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (6)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)
% 71.62/10.62  | | 
% 71.62/10.62  | | ALPHA: (6) implies:
% 71.62/10.62  | |   (7)  all_10_24 = e4
% 71.62/10.62  | | 
% 71.62/10.62  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #34.
% 71.62/10.62  | | 
% 71.62/10.62  | Case 2:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (8)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 =
% 71.62/10.62  | |          e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 71.62/10.62  | | 
% 71.62/10.62  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #197.
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #34 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_10_24 = all_4_24
% 71.62/10.62    (2)  all_10_24 = e4
% 71.62/10.62    (3)   ~ (all_4_24 = e4)
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (1), (2) imply:
% 71.62/10.62  |   (4)  all_4_24 = e4
% 71.62/10.62  | 
% 71.62/10.62  | SIMP: (4) implies:
% 71.62/10.62  |   (5)  all_4_24 = e4
% 71.62/10.62  | 
% 71.62/10.62  | REDUCE: (3), (5) imply:
% 71.62/10.62  |   (6)  $false
% 71.62/10.62  | 
% 71.62/10.62  | CLOSE: (6) is inconsistent.
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #35 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)   ~ (e4 = e0)
% 71.62/10.62    (2)  all_8_11 = e4 | all_8_18 = e4
% 71.62/10.62    (3)  all_8_11 = e1
% 71.62/10.62    (4)  all_10_18 = e4
% 71.62/10.62    (5)  all_8_18 = e4
% 71.62/10.62    (6)  all_10_18 = e0
% 71.62/10.62    (7)   ~ (e4 = e1)
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (4), (6) imply:
% 71.62/10.62  |   (8)  e4 = e0
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (5), (8) imply:
% 71.62/10.62  |   (9)  all_8_18 = e0
% 71.62/10.62  | 
% 71.62/10.62  | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #112.
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #36 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)   ~ (all_4_8 = e1)
% 71.62/10.62    (2)  all_6_16 = e4 | all_6_16 = e1 | all_6_16 = e0
% 71.62/10.62    (3)   ~ (all_4_8 = e0)
% 71.62/10.62    (4)   ~ (all_4_8 = e4)
% 71.62/10.62    (5)  all_6_16 = all_4_8
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | BETA: splitting (2) gives:
% 71.62/10.62  | 
% 71.62/10.62  | Case 1:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (6)  all_6_16 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | COMBINE_EQS: (5), (6) imply:
% 71.62/10.62  | |   (7)  all_4_8 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | SIMP: (7) implies:
% 71.62/10.62  | |   (8)  all_4_8 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | REDUCE: (1), (8) imply:
% 71.62/10.62  | |   (9)  $false
% 71.62/10.62  | | 
% 71.62/10.62  | | CLOSE: (9) is inconsistent.
% 71.62/10.62  | | 
% 71.62/10.62  | Case 2:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (10)  all_6_16 = e4 | all_6_16 = e0
% 71.62/10.62  | | 
% 71.62/10.62  | | BETA: splitting (10) gives:
% 71.62/10.62  | | 
% 71.62/10.62  | | Case 1:
% 71.62/10.62  | | | 
% 71.62/10.62  | | |   (11)  all_6_16 = e4
% 71.62/10.62  | | | 
% 71.62/10.62  | | | COMBINE_EQS: (5), (11) imply:
% 71.62/10.62  | | |   (12)  all_4_8 = e4
% 71.62/10.62  | | | 
% 71.62/10.62  | | | SIMP: (12) implies:
% 71.62/10.62  | | |   (13)  all_4_8 = e4
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REDUCE: (4), (13) imply:
% 71.62/10.62  | | |   (14)  $false
% 71.62/10.62  | | | 
% 71.62/10.62  | | | CLOSE: (14) is inconsistent.
% 71.62/10.62  | | | 
% 71.62/10.62  | | Case 2:
% 71.62/10.62  | | | 
% 71.62/10.62  | | |   (15)  all_6_16 = e0
% 71.62/10.62  | | | 
% 71.62/10.62  | | | COMBINE_EQS: (5), (15) imply:
% 71.62/10.62  | | |   (16)  all_4_8 = e0
% 71.62/10.62  | | | 
% 71.62/10.62  | | | SIMP: (16) implies:
% 71.62/10.62  | | |   (17)  all_4_8 = e0
% 71.62/10.62  | | | 
% 71.62/10.62  | | | REDUCE: (3), (17) imply:
% 71.62/10.62  | | |   (18)  $false
% 71.62/10.62  | | | 
% 71.62/10.62  | | | CLOSE: (18) is inconsistent.
% 71.62/10.62  | | | 
% 71.62/10.62  | | End of split
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #37 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_8_14 = all_4_13
% 71.62/10.62    (2)   ~ (all_4_24 = e0)
% 71.62/10.62    (3)   ~ (all_4_23 = all_4_24)
% 71.62/10.62    (4)   ~ (all_4_13 = e1)
% 71.62/10.62    (5)  all_8_13 = e3
% 71.62/10.62    (6)  all_10_24 = all_4_24
% 71.62/10.62    (7)  all_10_24 = e1
% 71.62/10.62    (8)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 71.62/10.62         = e1
% 71.62/10.62    (9)  all_8_15 = e0
% 71.62/10.62    (10)   ~ (all_4_3 = e1)
% 71.62/10.62    (11)   ~ (all_4_24 = e3)
% 71.62/10.62    (12)  all_8_19 = all_4_23
% 71.62/10.62    (13)  all_8_12 = all_4_3
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (6), (7) imply:
% 71.62/10.62  |   (14)  all_4_24 = e1
% 71.62/10.62  | 
% 71.62/10.62  | REDUCE: (3), (14) imply:
% 71.62/10.62  |   (15)   ~ (all_4_23 = e1)
% 71.62/10.62  | 
% 71.62/10.62  | REDUCE: (11), (14) imply:
% 71.62/10.62  |   (16)   ~ (e3 = e1)
% 71.62/10.62  | 
% 71.62/10.62  | SIMP: (16) implies:
% 71.62/10.62  |   (17)   ~ (e3 = e1)
% 71.62/10.62  | 
% 71.62/10.62  | REDUCE: (2), (14) imply:
% 71.62/10.62  |   (18)   ~ (e1 = e0)
% 71.62/10.62  | 
% 71.62/10.62  | BETA: splitting (8) gives:
% 71.62/10.62  | 
% 71.62/10.62  | Case 1:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (19)  all_8_12 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | COMBINE_EQS: (13), (19) imply:
% 71.62/10.62  | |   (20)  all_4_3 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | SIMP: (20) implies:
% 71.62/10.62  | |   (21)  all_4_3 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | REDUCE: (10), (21) imply:
% 71.62/10.62  | |   (22)  $false
% 71.62/10.62  | | 
% 71.62/10.62  | | CLOSE: (22) is inconsistent.
% 71.62/10.62  | | 
% 71.62/10.62  | Case 2:
% 71.62/10.62  | | 
% 71.62/10.62  | |   (23)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.62/10.62  | | 
% 71.62/10.62  | | REF_CLOSE: (1), (4), (5), (9), (12), (15), (17), (18), (23) are inconsistent
% 71.62/10.62  | |            by sub-proof #108.
% 71.62/10.62  | | 
% 71.62/10.62  | End of split
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #38 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_10_6 = e4
% 71.62/10.62    (2)  all_8_14 = e4
% 71.62/10.62    (3)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 71.62/10.62    (4)   ~ (e4 = e0)
% 71.62/10.62    (5)  all_8_8 = e3
% 71.62/10.62    (6)  all_8_22 = e0
% 71.62/10.62    (7)   ~ (e4 = e2)
% 71.62/10.62    (8)   ~ (e4 = e3)
% 71.62/10.62    (9)  all_10_6 = e2
% 71.62/10.62    (10)  all_8_5 = e1
% 71.62/10.62    (11)   ~ (e4 = e1)
% 71.62/10.62  
% 71.62/10.62  Begin of proof
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (1), (9) imply:
% 71.62/10.62  |   (12)  e4 = e2
% 71.62/10.62  | 
% 71.62/10.62  | COMBINE_EQS: (2), (12) imply:
% 71.62/10.62  |   (13)  all_8_14 = e2
% 71.62/10.62  | 
% 71.62/10.62  | REF_CLOSE: (3), (4), (5), (6), (7), (8), (10), (11), (13) are inconsistent by
% 71.62/10.62  |            sub-proof #172.
% 71.62/10.62  | 
% 71.62/10.62  End of proof
% 71.62/10.62  
% 71.62/10.62  Sub-proof #39 shows that the following formulas are inconsistent:
% 71.62/10.62  ----------------------------------------------------------------
% 71.62/10.62    (1)  all_10_2 = e0
% 71.62/10.62    (2)   ~ (all_4_5 = all_4_9)
% 71.62/10.62    (3)  all_6_0 = e4 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 71.62/10.62    (4)   ~ (e3 = e1)
% 71.62/10.62    (5)  all_8_14 = all_4_13
% 71.62/10.62    (6)   ~ (all_4_13 = e1)
% 71.62/10.62    (7)  all_8_13 = e3
% 71.62/10.62    (8)  all_10_14 = all_4_22
% 71.62/10.62    (9)   ~ (all_4_23 = e1)
% 71.62/10.62    (10)  all_6_1 = all_4_5
% 71.62/10.62    (11)   ~ (all_4_5 = e4)
% 71.62/10.62    (12)  all_10_23 = e3
% 71.62/10.62    (13)   ~ (e4 = e0)
% 71.62/10.62    (14)  all_10_24 = e1
% 71.62/10.62    (15)  all_8_3 = e4
% 71.62/10.62    (16)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 71.62/10.62          e0
% 71.62/10.62    (17)  all_10_21 = all_4_9
% 71.62/10.62    (18)  all_10_0 = all_4_0
% 71.62/10.62    (19)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 71.62/10.62          = e1
% 71.62/10.63    (20)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.62/10.63                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 71.62/10.63                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 71.62/10.63                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.62/10.63                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 71.62/10.63                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.62/10.63              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.62/10.63                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.62/10.63                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.63              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.63              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.63              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.63              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.63              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.62/10.63              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.63              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.63              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.63              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 71.62/10.63                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 71.62/10.63            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.63              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.63              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.62/10.63              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 71.62/10.63                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 71.62/10.63                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 71.62/10.63                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 71.62/10.63                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 71.62/10.63            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 71.62/10.63              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 71.62/10.63                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 71.62/10.63                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 71.62/10.63                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.63              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.63              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.63              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.63              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.63              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.63              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.63              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.63              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.63              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.62/10.63                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.62/10.63            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.63              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 71.62/10.63              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 71.62/10.63                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 71.62/10.63              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 71.62/10.63                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 71.62/10.63            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.63              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 71.62/10.63                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 71.62/10.63                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 71.62/10.63                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 71.62/10.63                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 71.62/10.63                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 71.62/10.63                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 71.62/10.63              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 71.62/10.63              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 71.62/10.63              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 71.62/10.63                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.62/10.63            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 71.62/10.63              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.63              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.63              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 71.62/10.63              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.62/10.63              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 71.62/10.63              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 71.62/10.63                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.62/10.63                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.63              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 71.62/10.63                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.63              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 71.62/10.63                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 71.62/10.63            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.63              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.63              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 71.62/10.63              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 71.62/10.63              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.63                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.62/10.63            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.63              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 71.62/10.63              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.63              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.62/10.63                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 71.62/10.63                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 71.62/10.63                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.62/10.63                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 71.62/10.63              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 71.62/10.63                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.62/10.63                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 71.62/10.63              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.63              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 71.62/10.63              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 71.62/10.63              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.63              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 71.62/10.63                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 71.62/10.63            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.63              (all_10_24 = e0) |  ~ (unit = e0)))
% 71.62/10.63    (21)  all_8_15 = e0
% 71.62/10.63    (22)   ~ (e3 = e0)
% 71.62/10.63    (23)   ~ (all_4_0 = e4)
% 71.62/10.63    (24)   ~ (all_4_0 = all_4_5)
% 71.62/10.63    (25)  all_10_3 = e4
% 71.62/10.63    (26)  all_6_0 = all_4_0
% 71.62/10.63    (27)   ~ (e4 = e3)
% 71.62/10.63    (28)   ~ (all_4_0 = all_4_3)
% 71.62/10.63    (29)  all_8_1 = all_4_5
% 71.62/10.63    (30)   ~ (all_4_5 = e3)
% 71.62/10.63    (31)  all_8_19 = all_4_23
% 71.62/10.63    (32)  all_8_7 = all_4_7
% 71.62/10.63    (33)   ~ (e1 = e0)
% 71.62/10.63    (34)  all_10_11 = all_4_7
% 71.62/10.63    (35)  all_8_12 = all_4_3
% 71.62/10.63    (36)   ~ (all_4_22 = e3)
% 71.62/10.63    (37)   ~ (all_4_5 = e0)
% 71.62/10.63    (38)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 71.62/10.63    (39)   ~ (all_4_0 = e0)
% 71.62/10.63    (40)  all_10_1 = all_4_5
% 71.62/10.63    (41)  all_8_21 = all_4_9
% 71.62/10.63    (42)  all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 =
% 71.62/10.63          e1
% 71.62/10.63  
% 71.62/10.63  Begin of proof
% 71.62/10.63  | 
% 71.62/10.63  | BETA: splitting (19) gives:
% 71.62/10.63  | 
% 71.62/10.63  | Case 1:
% 71.62/10.63  | | 
% 71.62/10.63  | |   (43)  all_8_12 = e1
% 71.62/10.63  | | 
% 71.62/10.63  | | COMBINE_EQS: (35), (43) imply:
% 71.62/10.63  | |   (44)  all_4_3 = e1
% 71.62/10.63  | | 
% 71.62/10.63  | | SIMP: (44) implies:
% 71.62/10.63  | |   (45)  all_4_3 = e1
% 71.62/10.63  | | 
% 71.62/10.63  | | REDUCE: (28), (45) imply:
% 71.62/10.63  | |   (46)   ~ (all_4_0 = e1)
% 71.62/10.63  | | 
% 71.62/10.63  | | BETA: splitting (3) gives:
% 71.62/10.63  | | 
% 71.62/10.63  | | Case 1:
% 71.62/10.63  | | | 
% 71.62/10.63  | | |   (47)  all_6_0 = e2
% 71.62/10.63  | | | 
% 71.62/10.63  | | | COMBINE_EQS: (26), (47) imply:
% 71.62/10.63  | | |   (48)  all_4_0 = e2
% 71.62/10.63  | | | 
% 71.62/10.63  | | | SIMP: (48) implies:
% 71.62/10.63  | | |   (49)  all_4_0 = e2
% 71.62/10.63  | | | 
% 71.62/10.63  | | | COMBINE_EQS: (18), (49) imply:
% 71.62/10.63  | | |   (50)  all_10_0 = e2
% 71.62/10.63  | | | 
% 71.62/10.63  | | | REDUCE: (24), (49) imply:
% 71.62/10.63  | | |   (51)   ~ (all_4_5 = e2)
% 71.62/10.63  | | | 
% 71.62/10.63  | | | SIMP: (51) implies:
% 71.62/10.63  | | |   (52)   ~ (all_4_5 = e2)
% 71.62/10.63  | | | 
% 71.62/10.63  | | | BETA: splitting (38) gives:
% 71.62/10.63  | | | 
% 71.62/10.63  | | | Case 1:
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | |   (53)  all_6_1 = e3
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | | COMBINE_EQS: (10), (53) imply:
% 71.62/10.63  | | | |   (54)  all_4_5 = e3
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | | REDUCE: (30), (54) imply:
% 71.62/10.63  | | | |   (55)  $false
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | | CLOSE: (55) is inconsistent.
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | Case 2:
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | |   (56)   ~ (all_6_1 = e3)
% 71.62/10.63  | | | |   (57)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | | BETA: splitting (57) gives:
% 71.62/10.63  | | | | 
% 71.62/10.63  | | | | Case 1:
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | |   (58)  all_6_1 = e2
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | | COMBINE_EQS: (10), (58) imply:
% 71.62/10.63  | | | | |   (59)  all_4_5 = e2
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | | REDUCE: (52), (59) imply:
% 71.62/10.63  | | | | |   (60)  $false
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | | CLOSE: (60) is inconsistent.
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | Case 2:
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | |   (61)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | | BETA: splitting (42) gives:
% 71.62/10.63  | | | | | 
% 71.62/10.63  | | | | | Case 1:
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | |   (62)  all_8_1 = e1
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | COMBINE_EQS: (29), (62) imply:
% 71.62/10.63  | | | | | |   (63)  all_4_5 = e1
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | SIMP: (63) implies:
% 71.62/10.63  | | | | | |   (64)  all_4_5 = e1
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | COMBINE_EQS: (40), (64) imply:
% 71.62/10.63  | | | | | |   (65)  all_10_1 = e1
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | REDUCE: (2), (64) imply:
% 71.62/10.63  | | | | | |   (66)   ~ (all_4_9 = e1)
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | SIMP: (66) implies:
% 71.62/10.63  | | | | | |   (67)   ~ (all_4_9 = e1)
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | REDUCE: (30), (64) imply:
% 71.62/10.63  | | | | | |   (68)   ~ (e3 = e1)
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | BETA: splitting (20) gives:
% 71.62/10.63  | | | | | | 
% 71.62/10.63  | | | | | | Case 1:
% 71.62/10.63  | | | | | | | 
% 71.62/10.63  | | | | | | |   (69)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 =
% 71.62/10.63  | | | | | | |               e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & (
% 71.62/10.63  | | | | | | |             ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~
% 71.62/10.63  | | | | | | |               (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 71.62/10.63  | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit
% 71.62/10.63  | | | | | | |               = e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~
% 71.62/10.63  | | | | | | |               (unit = e4))) & ( ~ (all_10_12 = e4) | (all_10_10 =
% 71.62/10.63  | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 71.62/10.63  | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 =
% 71.62/10.63  | | | | | | |               e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 =
% 71.62/10.63  | | | | | | |               e4) | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit =
% 71.62/10.63  | | | | | | |               e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~
% 71.62/10.63  | | | | | | |               (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 71.62/10.63  | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 71.62/10.63  | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 =
% 71.62/10.63  | | | | | | |               e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 71.62/10.63  | | | | | | |             (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 =
% 71.62/10.63  | | | | | | |               e3) | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit = e3)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & (
% 71.62/10.63  | | | | | | |             ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~
% 71.62/10.63  | | | | | | |               (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 71.62/10.63  | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~
% 71.62/10.63  | | | | | | |             (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2
% 71.62/10.63  | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 71.62/10.63  | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 =
% 71.62/10.63  | | | | | | |               e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_20 = e3) | (all_10_21
% 71.62/10.63  | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 71.62/10.63  | | | | | | |             (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 71.62/10.63  | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 71.62/10.63  | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 =
% 71.62/10.63  | | | | | | |               e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 71.62/10.63  | | | | | | | 
% 71.62/10.63  | | | | | | | REF_CLOSE: (12), (17), (18), (25), (46), (67), (69) are
% 71.62/10.63  | | | | | | |            inconsistent by sub-proof #40.
% 71.62/10.63  | | | | | | | 
% 71.62/10.63  | | | | | | Case 2:
% 71.62/10.63  | | | | | | | 
% 71.62/10.63  | | | | | | |   (70)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3
% 71.62/10.63  | | | | | | |               = e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e2))) & ( ~ (all_10_7 = e2) |  ~ (unit = e2)) & (
% 71.62/10.63  | | | | | | |             ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12
% 71.62/10.63  | | | | | | |               = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~
% 71.62/10.63  | | | | | | |             (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1
% 71.62/10.63  | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 71.62/10.63  | | | | | | |             (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 =
% 71.62/10.63  | | | | | | |               e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22
% 71.62/10.63  | | | | | | |               = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 71.62/10.63  | | | | | | |             (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 71.62/10.63  | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 71.62/10.63  | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 =
% 71.62/10.63  | | | | | | |               e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4
% 71.62/10.63  | | | | | | |               = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & (
% 71.62/10.63  | | | | | | |             ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_12 = e1) | (all_10_13
% 71.62/10.63  | | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~
% 71.62/10.63  | | | | | | |             (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0
% 71.62/10.63  | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 71.62/10.63  | | | | | | |             (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 =
% 71.62/10.63  | | | | | | |               e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23
% 71.62/10.63  | | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 71.62/10.63  | | | | | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 71.62/10.63  | | | | | | |               &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 71.62/10.63  | | | | | | |             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 =
% 71.62/10.63  | | | | | | |               e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 71.62/10.63  | | | | | | |               = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) &
% 71.62/10.63  | | | | | | |           ( ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & (
% 71.62/10.63  | | | | | | |             ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_12 = e0) | (all_10_14
% 71.62/10.63  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 71.62/10.63  | | | | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 =
% 71.62/10.63  | | | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 71.62/10.63  | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 =
% 71.62/10.63  | | | | | | |               e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | |             (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit = e0)))
% 71.62/10.63  | | | | | | |           & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0)) & (
% 71.62/10.63  | | | | | | |             ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 & 
% 71.62/10.63  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24
% 71.62/10.63  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 71.62/10.63  | | | | | | |             (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 =
% 71.62/10.63  | | | | | | |               e0) |  ~ (unit = e0)))
% 71.62/10.63  | | | | | | | 
% 71.62/10.63  | | | | | | | BETA: splitting (70) gives:
% 71.62/10.63  | | | | | | | 
% 71.62/10.63  | | | | | | | Case 1:
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | |   (71)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | | |         & ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | | |               e2))) & ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & (
% 71.62/10.63  | | | | | | | |           ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | | |         & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 71.62/10.63  | | | | | | | |               e2))) & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~
% 71.62/10.63  | | | | | | | |             (unit = e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 71.62/10.63  | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~ (unit
% 71.62/10.63  | | | | | | | |             = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 71.62/10.63  | | | | | | | |             (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0
% 71.62/10.63  | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 71.62/10.63  | | | | | | | |           (all_10_12 = e4 &  ~ (unit = e2))) & ( ~ (all_10_11 =
% 71.62/10.63  | | | | | | | |             e2) | (all_10_12 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.63  | | | | | | | |           (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13 =
% 71.62/10.63  | | | | | | | |             e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.63  | | | | | | | |           (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | | |         & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | | |               e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 & 
% 71.62/10.63  | | | | | | | |             ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 71.62/10.63  | | | | | | | |             e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~
% 71.62/10.63  | | | | | | | |             (unit = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 71.62/10.63  | | | | | | | |             e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 71.62/10.63  | | | | | | | |           (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 =
% 71.62/10.63  | | | | | | | |             e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 71.62/10.63  | | | | | | | |           (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 =
% 71.62/10.63  | | | | | | | |             e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 71.62/10.63  | | | | | | | |           (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit = e2)))
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | | ALPHA: (71) implies:
% 71.62/10.63  | | | | | | | |   (72)   ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | | BETA: splitting (72) gives:
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | | Case 1:
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | |   (73)   ~ (all_10_0 = e2)
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | REDUCE: (50), (73) imply:
% 71.62/10.63  | | | | | | | | |   (74)  $false
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | CLOSE: (74) is inconsistent.
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | Case 2:
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | |   (75)  all_10_2 = e4 &  ~ (unit = e2)
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | ALPHA: (75) implies:
% 71.62/10.63  | | | | | | | | |   (76)  all_10_2 = e4
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | COMBINE_EQS: (1), (76) imply:
% 71.62/10.63  | | | | | | | | |   (77)  e4 = e0
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | REDUCE: (13), (77) imply:
% 71.62/10.63  | | | | | | | | |   (78)  $false
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | CLOSE: (78) is inconsistent.
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | End of split
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | Case 2:
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | |   (79)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | | |           & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 71.62/10.63  | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 71.62/10.63  | | | | | | | |               e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~
% 71.62/10.63  | | | | | | | |               (unit = e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 71.62/10.63  | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 71.62/10.63  | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 =
% 71.62/10.63  | | | | | | | |               e1) | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 71.62/10.63  | | | | | | | |               e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 &
% 71.62/10.63  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.62/10.63  | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13
% 71.62/10.63  | | | | | | | |               = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.63  | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15
% 71.62/10.63  | | | | | | | |               = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &
% 71.62/10.63  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.63  | | | | | | | |               = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 & 
% 71.62/10.63  | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 71.62/10.63  | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21
% 71.62/10.63  | | | | | | | |               = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1)) &
% 71.62/10.63  | | | | | | | |           ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &
% 71.62/10.63  | | | | | | | |                ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 71.62/10.63  | | | | | | | |               = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 71.62/10.63  | | | | | | | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 71.62/10.63  | | | | | | | |               e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 =
% 71.62/10.63  | | | | | | | |               e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0)))
% 71.62/10.63  | | | | | | | |           & ( ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 71.62/10.63  | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 71.62/10.63  | | | | | | | |               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~
% 71.62/10.63  | | | | | | | |               (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14
% 71.62/10.63  | | | | | | | |               = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.62/10.63  | | | | | | | |             (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13
% 71.62/10.63  | | | | | | | |               = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15
% 71.62/10.63  | | | | | | | |               = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &
% 71.62/10.63  | | | | | | | |                ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.63  | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19
% 71.62/10.63  | | | | | | | |               = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.62/10.63  | | | | | | | |             (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21
% 71.62/10.63  | | | | | | | |               = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &
% 71.62/10.63  | | | | | | | |                ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 71.62/10.63  | | | | | | | |               = e0)))
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | | BETA: splitting (79) gives:
% 71.62/10.63  | | | | | | | | 
% 71.62/10.63  | | | | | | | | Case 1:
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | |   (80)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 & 
% 71.62/10.63  | | | | | | | | |             ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3
% 71.62/10.63  | | | | | | | | |             = e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~
% 71.62/10.63  | | | | | | | | |           (unit = e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0
% 71.62/10.63  | | | | | | | | |             &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 71.62/10.63  | | | | | | | | |           (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 =
% 71.62/10.63  | | | | | | | | |             e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | | | |         & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1)))
% 71.62/10.63  | | | | | | | | |         & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 &
% 71.62/10.63  | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 71.62/10.63  | | | | | | | | |           (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13
% 71.62/10.63  | | | | | | | | |             = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 71.62/10.63  | | | | | | | | |           (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15
% 71.62/10.63  | | | | | | | | |             = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &
% 71.62/10.63  | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 71.62/10.63  | | | | | | | | |             = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 & 
% 71.62/10.63  | | | | | | | | |             ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 71.62/10.63  | | | | | | | | |           (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21
% 71.62/10.63  | | | | | | | | |             = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1)) &
% 71.62/10.63  | | | | | | | | |         ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e1)))
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | ALPHA: (80) implies:
% 71.62/10.63  | | | | | | | | |   (81)   ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | REF_CLOSE: (25), (27), (65), (81) are inconsistent by
% 71.62/10.63  | | | | | | | | |            sub-proof #221.
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | Case 2:
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | |   (82)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 & 
% 71.62/10.63  | | | | | | | | |             ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4
% 71.62/10.63  | | | | | | | | |             = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 71.62/10.63  | | | | | | | | |           (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 =
% 71.62/10.63  | | | | | | | | |             e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 71.62/10.63  | | | | | | | | |           (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 71.62/10.63  | | | | | | | | |             e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0)))
% 71.62/10.63  | | | | | | | | |         & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) &
% 71.62/10.63  | | | | | | | | |         ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3 &
% 71.62/10.63  | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 71.62/10.63  | | | | | | | | |           (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13
% 71.62/10.63  | | | | | | | | |             = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15
% 71.62/10.63  | | | | | | | | |             = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &
% 71.62/10.63  | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 71.62/10.63  | | | | | | | | |           (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19
% 71.62/10.63  | | | | | | | | |             = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 71.62/10.63  | | | | | | | | |           (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21
% 71.62/10.63  | | | | | | | | |             = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 71.62/10.63  | | | | | | | | |           (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 71.62/10.63  | | | | | | | | |               e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &
% 71.62/10.63  | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 71.62/10.63  | | | | | | | | |             = e0))
% 71.62/10.63  | | | | | | | | | 
% 71.62/10.63  | | | | | | | | | ALPHA: (82) implies:
% 71.62/10.64  | | | | | | | | |   (83)   ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 71.62/10.64  | | | | | | | | |             e0))
% 71.62/10.64  | | | | | | | | |   (84)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 71.62/10.64  | | | | | | | | |             e0))
% 71.62/10.64  | | | | | | | | | 
% 71.62/10.64  | | | | | | | | | REF_CLOSE: (4), (7), (8), (13), (14), (15), (16), (17), (22),
% 71.62/10.64  | | | | | | | | |            (32), (33), (34), (36), (41), (62), (83), (84) are
% 71.62/10.64  | | | | | | | | |            inconsistent by sub-proof #135.
% 71.62/10.64  | | | | | | | | | 
% 71.62/10.64  | | | | | | | | End of split
% 71.62/10.64  | | | | | | | | 
% 71.62/10.64  | | | | | | | End of split
% 71.62/10.64  | | | | | | | 
% 71.62/10.64  | | | | | | End of split
% 71.62/10.64  | | | | | | 
% 71.62/10.64  | | | | | Case 2:
% 71.62/10.64  | | | | | | 
% 71.62/10.64  | | | | | |   (85)   ~ (all_8_1 = e1)
% 71.62/10.64  | | | | | | 
% 71.62/10.64  | | | | | | REDUCE: (29), (85) imply:
% 71.62/10.64  | | | | | |   (86)   ~ (all_4_5 = e1)
% 71.62/10.64  | | | | | | 
% 71.62/10.64  | | | | | | REF_CLOSE: (10), (11), (37), (61), (86) are inconsistent by
% 71.62/10.64  | | | | | |            sub-proof #227.
% 71.62/10.64  | | | | | | 
% 71.62/10.64  | | | | | End of split
% 71.62/10.64  | | | | | 
% 71.62/10.64  | | | | End of split
% 71.62/10.64  | | | | 
% 71.62/10.64  | | | End of split
% 71.62/10.64  | | | 
% 71.62/10.64  | | Case 2:
% 71.62/10.64  | | | 
% 71.62/10.64  | | |   (87)  all_6_0 = e4 | all_6_0 = e1 | all_6_0 = e0
% 71.62/10.64  | | | 
% 71.62/10.64  | | | REF_CLOSE: (23), (26), (39), (46), (87) are inconsistent by sub-proof
% 71.62/10.64  | | |            #114.
% 71.62/10.64  | | | 
% 71.62/10.64  | | End of split
% 71.62/10.64  | | 
% 71.62/10.64  | Case 2:
% 71.62/10.64  | | 
% 71.62/10.64  | |   (88)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 71.62/10.64  | | 
% 71.62/10.64  | | REF_CLOSE: (4), (5), (6), (7), (9), (21), (31), (33), (88) are inconsistent
% 71.62/10.64  | |            by sub-proof #108.
% 71.62/10.64  | | 
% 71.62/10.64  | End of split
% 71.62/10.64  | 
% 71.62/10.64  End of proof
% 71.62/10.64  
% 71.62/10.64  Sub-proof #40 shows that the following formulas are inconsistent:
% 71.62/10.64  ----------------------------------------------------------------
% 71.62/10.64    (1)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 71.62/10.64               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 71.62/10.64               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 71.62/10.64                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 71.62/10.64           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 71.62/10.64               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 71.62/10.64               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.62/10.64                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 71.62/10.64           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 71.62/10.64             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 71.62/10.64             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 71.62/10.64             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 71.62/10.64             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 71.62/10.64               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 71.62/10.64           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.64             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.64             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.64             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 71.62/10.64             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 71.62/10.64             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 71.62/10.64             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 71.62/10.64             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 71.62/10.64             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 71.62/10.64               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 71.62/10.64             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 71.62/10.64               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 71.62/10.64             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 71.62/10.64               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 71.62/10.64             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 71.62/10.64               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 71.62/10.64             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 71.62/10.64               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 71.62/10.64           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.64             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.64             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.64             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.64             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.64             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.64             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.64             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 71.62/10.64               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 71.62/10.64           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.64             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 71.62/10.64    (2)  all_10_23 = e3
% 71.62/10.64    (3)   ~ (all_4_0 = e1)
% 71.62/10.64    (4)  all_10_21 = all_4_9
% 71.62/10.64    (5)  all_10_0 = all_4_0
% 71.62/10.64    (6)   ~ (all_4_9 = e1)
% 71.62/10.64    (7)  all_10_3 = e4
% 71.62/10.64  
% 71.62/10.64  Begin of proof
% 71.62/10.64  | 
% 71.62/10.64  | BETA: splitting (1) gives:
% 71.62/10.64  | 
% 71.62/10.64  | Case 1:
% 71.62/10.64  | | 
% 71.62/10.64  | |   (8)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 71.62/10.64  | |          (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0
% 71.62/10.64  | |            = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 & 
% 71.62/10.64  | |            ~ (unit = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit
% 71.62/10.64  | |              = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 71.62/10.64  | |            = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 71.62/10.64  | |          (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 71.62/10.64  | |            = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 71.62/10.64  | |            ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.64  | |          (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 71.62/10.64  | |          (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 71.62/10.64  | |          (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 71.62/10.64  | |          (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 71.62/10.64  | |          (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 71.62/10.64  | |          (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.64  | |          (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 71.62/10.64  | |          (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 71.62/10.64  | |          (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 71.62/10.64  | |          (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 71.62/10.64  | |              e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 71.62/10.64  | |              e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 71.62/10.64  | |              e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 71.62/10.64  | |              e4)))
% 71.62/10.64  | | 
% 71.62/10.64  | | REF_CLOSE: (3), (5), (7), (8) are inconsistent by sub-proof #41.
% 71.62/10.64  | | 
% 71.62/10.64  | Case 2:
% 71.62/10.64  | | 
% 71.62/10.64  | |   (9)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.64  | |          (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1
% 71.62/10.64  | |            = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 & 
% 71.62/10.64  | |            ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit
% 71.62/10.64  | |              = e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 71.62/10.64  | |              e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 =
% 71.62/10.64  | |            e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 71.62/10.64  | |          (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6
% 71.62/10.64  | |            = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4
% 71.62/10.64  | |            &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 71.62/10.64  | |          (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 71.62/10.64  | |          (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 71.62/10.64  | |          (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 71.62/10.64  | |          (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 71.62/10.64  | |          (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 71.62/10.64  | |          (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 71.62/10.64  | |          (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 71.62/10.64  | |          (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 71.62/10.64  | |          (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 71.62/10.64  | |          (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 71.62/10.64  | |              e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 71.62/10.64  | |              e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 71.62/10.64  | |              e3)))
% 71.62/10.64  | | 
% 71.62/10.64  | | ALPHA: (9) implies:
% 71.62/10.64  | |   (10)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 71.62/10.64  | | 
% 71.62/10.64  | | REF_CLOSE: (2), (4), (6), (10) are inconsistent by sub-proof #64.
% 71.62/10.64  | | 
% 71.62/10.64  | End of split
% 71.62/10.64  | 
% 71.62/10.64  End of proof
% 71.62/10.64  
% 71.62/10.64  Sub-proof #41 shows that the following formulas are inconsistent:
% 71.62/10.64  ----------------------------------------------------------------
% 71.62/10.64    (1)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0 =
% 71.62/10.64             e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 71.62/10.64             (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 71.62/10.64               e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) & (
% 71.62/10.64           ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 =
% 71.62/10.64             e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 71.62/10.64             (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 71.62/10.64               e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) & (
% 71.62/10.64           ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 71.62/10.64           (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) | (all_10_10
% 71.62/10.64             = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~
% 71.62/10.64             (unit = e4))) & ( ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit =
% 71.62/10.64               e4))) & ( ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 =
% 71.62/10.64             e4) | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 71.62/10.64           (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) | (all_10_15
% 71.62/10.64             = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 &  ~
% 71.62/10.64             (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 71.62/10.64           (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22
% 71.62/10.64             = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 71.62/10.64           (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20
% 71.62/10.64             = e0 &  ~ (unit = e4)))
% 71.62/10.64    (2)  all_10_3 = e4
% 71.62/10.64    (3)  all_10_0 = all_4_0
% 71.62/10.64    (4)   ~ (all_4_0 = e1)
% 71.62/10.64  
% 71.62/10.64  Begin of proof
% 71.62/10.64  | 
% 71.62/10.64  | ALPHA: (1) implies:
% 71.62/10.64  |   (5)   ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4))
% 71.62/10.64  | 
% 71.62/10.64  | BETA: splitting (5) gives:
% 71.62/10.64  | 
% 71.62/10.64  | Case 1:
% 71.62/10.64  | | 
% 71.62/10.64  | |   (6)   ~ (all_10_3 = e4)
% 71.62/10.64  | | 
% 71.62/10.64  | | REDUCE: (2), (6) imply:
% 71.62/10.64  | |   (7)  $false
% 71.62/10.64  | | 
% 71.62/10.64  | | CLOSE: (7) is inconsistent.
% 71.62/10.64  | | 
% 71.62/10.64  | Case 2:
% 71.62/10.64  | | 
% 71.62/10.64  | |   (8)  all_10_0 = e1 &  ~ (unit = e4)
% 71.62/10.64  | | 
% 71.62/10.64  | | ALPHA: (8) implies:
% 71.62/10.64  | |   (9)  all_10_0 = e1
% 71.62/10.64  | | 
% 71.62/10.64  | | COMBINE_EQS: (3), (9) imply:
% 71.62/10.64  | |   (10)  all_4_0 = e1
% 71.62/10.64  | | 
% 71.62/10.64  | | REDUCE: (4), (10) imply:
% 71.62/10.64  | |   (11)  $false
% 71.62/10.64  | | 
% 71.62/10.64  | | CLOSE: (11) is inconsistent.
% 71.62/10.64  | | 
% 71.62/10.64  | End of split
% 71.62/10.64  | 
% 71.62/10.64  End of proof
% 71.62/10.64  
% 71.62/10.64  Sub-proof #42 shows that the following formulas are inconsistent:
% 71.62/10.64  ----------------------------------------------------------------
% 71.62/10.64    (1)  all_10_6 = e4
% 71.62/10.64    (2)   ~ (e4 = e0)
% 71.62/10.64    (3)  all_10_24 = all_4_24
% 71.62/10.64    (4)   ~ (e3 = e0)
% 71.62/10.64    (5)   ~ (all_4_24 = e1)
% 71.62/10.64    (6)  all_10_18 = e0
% 71.62/10.64    (7)   ~ (e2 = e0)
% 71.62/10.64    (8)  all_10_12 = e3
% 71.62/10.64    (9)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 71.62/10.64           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 71.62/10.64           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 71.62/10.64             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 71.62/10.64         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 71.62/10.64           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 71.62/10.64           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 71.62/10.64           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 71.62/10.64             e0))
% 71.62/10.64  
% 71.62/10.64  Begin of proof
% 71.62/10.64  | 
% 71.62/10.64  | BETA: splitting (9) gives:
% 71.62/10.64  | 
% 71.62/10.64  | Case 1:
% 71.62/10.64  | | 
% 71.62/10.64  | |   (10)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 71.62/10.64  | |           e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 &
% 71.62/10.64  | |           all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24
% 71.62/10.64  | |           = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 = e2 & 
% 71.62/10.64  | |           ~ (all_10_13 = e2))
% 71.62/10.64  | | 
% 71.62/10.64  | | BETA: splitting (10) gives:
% 71.62/10.64  | | 
% 71.62/10.64  | | Case 1:
% 71.62/10.64  | | | 
% 72.03/10.64  | | |   (11)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6
% 72.03/10.64  | | |           = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1))
% 72.03/10.64  | | | 
% 72.03/10.64  | | | REF_CLOSE: (4), (6), (11) are inconsistent by sub-proof #195.
% 72.03/10.64  | | | 
% 72.03/10.64  | | Case 2:
% 72.03/10.64  | | | 
% 72.03/10.64  | | |   (12)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6
% 72.03/10.64  | | |           = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 72.03/10.64  | | |           all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.03/10.64  | | | 
% 72.03/10.64  | | | BETA: splitting (12) gives:
% 72.03/10.64  | | | 
% 72.03/10.64  | | | Case 1:
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | |   (13)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | | REF_CLOSE: (1), (2), (13) are inconsistent by sub-proof #55.
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | Case 2:
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | |   (14)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 72.03/10.64  | | | |         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | | BETA: splitting (14) gives:
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | | Case 1:
% 72.03/10.64  | | | | | 
% 72.03/10.64  | | | | |   (15)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 72.03/10.64  | | | | | 
% 72.03/10.64  | | | | | REF_CLOSE: (1), (2), (15) are inconsistent by sub-proof #54.
% 72.03/10.64  | | | | | 
% 72.03/10.64  | | | | Case 2:
% 72.03/10.64  | | | | | 
% 72.03/10.64  | | | | |   (16)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 72.03/10.64  | | | | | 
% 72.03/10.64  | | | | | REF_CLOSE: (6), (7), (16) are inconsistent by sub-proof #194.
% 72.03/10.64  | | | | | 
% 72.03/10.64  | | | | End of split
% 72.03/10.64  | | | | 
% 72.03/10.64  | | | End of split
% 72.03/10.64  | | | 
% 72.03/10.64  | | End of split
% 72.03/10.64  | | 
% 72.03/10.64  | Case 2:
% 72.03/10.64  | | 
% 72.03/10.64  | |   (17)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12
% 72.03/10.64  | |           = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 72.03/10.64  | |           all_10_24 = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 72.03/10.64  | |           all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0 &
% 72.03/10.64  | |           all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.03/10.64  | | 
% 72.03/10.64  | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (17) are inconsistent by sub-proof
% 72.03/10.64  | |            #43.
% 72.03/10.64  | | 
% 72.03/10.64  | End of split
% 72.03/10.64  | 
% 72.03/10.64  End of proof
% 72.03/10.64  
% 72.03/10.64  Sub-proof #43 shows that the following formulas are inconsistent:
% 72.03/10.64  ----------------------------------------------------------------
% 72.03/10.64    (1)  all_10_24 = all_4_24
% 72.03/10.64    (2)   ~ (e3 = e0)
% 72.03/10.64    (3)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.03/10.64           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 72.03/10.64           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.03/10.64           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 72.03/10.64             e0))
% 72.03/10.64    (4)   ~ (all_4_24 = e1)
% 72.03/10.64    (5)  all_10_18 = e0
% 72.03/10.64    (6)   ~ (e2 = e0)
% 72.03/10.64    (7)  all_10_12 = e3
% 72.03/10.64  
% 72.03/10.64  Begin of proof
% 72.03/10.64  | 
% 72.03/10.64  | BETA: splitting (3) gives:
% 72.03/10.64  | 
% 72.03/10.64  | Case 1:
% 72.03/10.64  | | 
% 72.03/10.64  | |   (8)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12
% 72.03/10.64  | |          = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 72.03/10.64  | | 
% 72.03/10.64  | | BETA: splitting (8) gives:
% 72.03/10.64  | | 
% 72.03/10.64  | | Case 1:
% 72.03/10.64  | | | 
% 72.03/10.64  | | |   (9)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 72.03/10.64  | | | 
% 72.03/10.64  | | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #193.
% 72.03/10.64  | | | 
% 72.03/10.64  | | Case 2:
% 72.03/10.64  | | | 
% 72.03/10.64  | | |   (10)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 72.03/10.64  | | | 
% 72.03/10.64  | | | REF_CLOSE: (2), (7), (10) are inconsistent by sub-proof #51.
% 72.03/10.64  | | | 
% 72.03/10.64  | | End of split
% 72.03/10.64  | | 
% 72.03/10.64  | Case 2:
% 72.03/10.64  | | 
% 72.03/10.64  | |   (11)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) | (all_10_18
% 72.03/10.64  | |           = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0 &
% 72.03/10.64  | |           all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.03/10.64  | | 
% 72.03/10.64  | | BETA: splitting (11) gives:
% 72.03/10.64  | | 
% 72.03/10.64  | | Case 1:
% 72.03/10.64  | | | 
% 72.03/10.64  | | |   (12)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)
% 72.03/10.64  | | | 
% 72.03/10.64  | | | REF_CLOSE: (2), (7), (12) are inconsistent by sub-proof #49.
% 72.03/10.64  | | | 
% 72.03/10.64  | | Case 2:
% 72.03/10.64  | | | 
% 72.03/10.64  | | |   (13)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 72.03/10.64  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.03/10.64  | | | 
% 72.03/10.64  | | | REF_CLOSE: (1), (4), (13) are inconsistent by sub-proof #156.
% 72.03/10.64  | | | 
% 72.03/10.64  | | End of split
% 72.03/10.64  | | 
% 72.03/10.64  | End of split
% 72.03/10.64  | 
% 72.03/10.64  End of proof
% 72.03/10.64  
% 72.03/10.64  Sub-proof #44 shows that the following formulas are inconsistent:
% 72.03/10.64  ----------------------------------------------------------------
% 72.03/10.64    (1)  all_8_6 = all_4_2
% 72.03/10.64    (2)   ~ (all_4_0 = e3)
% 72.03/10.64    (3)   ~ (all_4_2 = all_4_7)
% 72.03/10.64    (4)   ~ (all_4_5 = all_4_9)
% 72.03/10.64    (5)   ~ (all_4_5 = e1)
% 72.03/10.64    (6)  op(e2, unit) = e2
% 72.03/10.64    (7)   ~ (all_4_7 = all_4_22)
% 72.03/10.64    (8)  op(e0, e3) = all_4_9
% 72.03/10.64    (9)  op(e4, e0) = e3
% 72.03/10.64    (10)  all_10_15 = all_4_3
% 72.03/10.64    (11)  all_8_13 = all_4_8
% 72.03/10.64    (12)   ~ (all_4_24 = e0)
% 72.03/10.64    (13)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 72.03/10.64          = e0
% 72.03/10.64    (14)   ~ (all_4_0 = all_4_4)
% 72.03/10.64    (15)  op(unit, e3) = e3
% 72.03/10.64    (16)  op(unit, e4) = e4
% 72.03/10.64    (17)  all_8_13 = e3
% 72.03/10.64    (18)  all_10_14 = all_4_22
% 72.03/10.64    (19)  all_6_1 = all_4_5
% 72.03/10.64    (20)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19
% 72.03/10.64          = e4
% 72.03/10.64    (21)   ~ (all_4_5 = e4)
% 72.03/10.64    (22)  all_10_23 = e3
% 72.03/10.64    (23)  all_6_11 = all_4_7
% 72.03/10.64    (24)   ~ (all_4_7 = e4)
% 72.03/10.64    (25)   ~ (all_4_0 = e1)
% 72.03/10.64    (26)  all_10_24 = all_4_24
% 72.03/10.64    (27)  all_8_3 = e4
% 72.03/10.64    (28)   ~ (all_4_2 = all_4_4)
% 72.03/10.64    (29)  all_8_14 = e2
% 72.03/10.64    (30)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20
% 72.03/10.64          = e0
% 72.03/10.64    (31)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 72.03/10.64    (32)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.03/10.64          e0
% 72.03/10.64    (33)  all_10_21 = all_4_9
% 72.03/10.64    (34)  all_10_0 = all_4_0
% 72.03/10.65    (35)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.03/10.65                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.03/10.65                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.03/10.65                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.03/10.65                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.03/10.65                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.03/10.65              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.03/10.65                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.03/10.65                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.03/10.65              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.65              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.65              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.65              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.03/10.65              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.03/10.65              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.03/10.65              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.03/10.65              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.03/10.65              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.03/10.65                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.03/10.65            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.65              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.65              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.03/10.65              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.03/10.65                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.03/10.65                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.03/10.65                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.03/10.65                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.03/10.65            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.03/10.65              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.03/10.65                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.03/10.65                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.03/10.65                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.03/10.65              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.03/10.65              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.65              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.65              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.03/10.65              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.03/10.65              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.03/10.65              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.03/10.65              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.03/10.65              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.03/10.65                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.03/10.65            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.65              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.03/10.65              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.03/10.65                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.03/10.65              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.03/10.65                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.03/10.65            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.65              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.03/10.65                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.03/10.65                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.03/10.65                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.03/10.65                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.03/10.65                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.03/10.65                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.03/10.65              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.03/10.65              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.03/10.65              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.03/10.65                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.03/10.65            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.03/10.65              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.65              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.65              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.03/10.65              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.03/10.65              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.03/10.65              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.03/10.65                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.03/10.65                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.65              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.03/10.65                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.03/10.65              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.03/10.65                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.03/10.65            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.03/10.65              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.03/10.65              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.03/10.65              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.03/10.65              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.03/10.65                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.03/10.65            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.65              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.03/10.65              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.03/10.65              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.03/10.65                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.03/10.65                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.03/10.65                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.03/10.65                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.03/10.65              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.03/10.65                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.03/10.65                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.65              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.03/10.65              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.03/10.65              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.03/10.65              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.03/10.65              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.03/10.65                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.03/10.65            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.65              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.03/10.65    (36)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.03/10.65          e2
% 72.03/10.65    (37)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 72.03/10.65          e1
% 72.03/10.65    (38)  all_8_15 = e0
% 72.03/10.65    (39)   ~ (all_4_2 = all_4_3)
% 72.03/10.65    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.03/10.65            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.03/10.65    (41)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 =
% 72.03/10.65          e0
% 72.03/10.65    (42)  op(unit, e2) = e2
% 72.03/10.65    (43)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 72.03/10.65    (44)   ~ (all_4_2 = e3)
% 72.03/10.65    (45)  op(e2, e4) = all_4_2
% 72.03/10.65    (46)  all_8_20 = all_4_4
% 72.03/10.65    (47)   ~ (all_4_0 = all_4_5)
% 72.03/10.65    (48)  all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 =
% 72.03/10.65          e2
% 72.03/10.65    (49)   ~ (all_4_8 = e0)
% 72.03/10.65    (50)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 72.03/10.65    (51)   ~ (all_4_3 = all_4_4)
% 72.03/10.65    (52)  all_6_20 = all_4_4
% 72.03/10.65    (53)   ~ (all_4_24 = e3)
% 72.03/10.65    (54)   ~ (all_4_7 = e3)
% 72.03/10.65    (55)  all_6_14 = all_4_22
% 72.03/10.65    (56)   ~ (all_4_22 = e1)
% 72.03/10.65    (57)  op(e2, e0) = all_4_22
% 72.03/10.65    (58)  all_10_0 = e0
% 72.03/10.65    (59)   ~ (all_4_0 = all_4_3)
% 72.03/10.65    (60)  op(e0, e2) = e0
% 72.03/10.65    (61)  all_10_22 = e0
% 72.03/10.65    (62)  all_8_1 = all_4_5
% 72.03/10.65    (63)  all_8_7 = all_4_7
% 72.03/10.65    (64)   ~ (all_4_22 = e0)
% 72.03/10.65    (65)  all_10_11 = all_4_7
% 72.03/10.65    (66)  op(e4, unit) = e4
% 72.03/10.65    (67)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 72.03/10.65          = e2
% 72.03/10.65    (68)   ~ (all_4_5 = all_4_7)
% 72.03/10.65    (69)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 72.03/10.65    (70)   ~ (all_4_24 = e1)
% 72.03/10.65    (71)   ~ (all_4_4 = all_4_9)
% 72.03/10.65    (72)  op(unit, e0) = e0
% 72.03/10.65    (73)  all_8_12 = all_4_3
% 72.03/10.65    (74)   ~ (all_4_22 = e3)
% 72.03/10.65    (75)   ~ (all_4_0 = all_4_2)
% 72.03/10.65    (76)   ~ (all_4_2 = all_4_22)
% 72.03/10.65    (77)  all_6_10 = all_4_2
% 72.03/10.65    (78)  all_8_19 = e1
% 72.03/10.65    (79)   ~ (all_4_9 = e0)
% 72.03/10.65    (80)  all_10_7 = e1
% 72.03/10.65    (81)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 72.03/10.65    (82)  all_10_20 = all_4_4
% 72.03/10.65    (83)   ~ (all_4_4 = e3)
% 72.03/10.65    (84)  all_10_18 = e0
% 72.03/10.65    (85)  op(e0, e4) = all_4_4
% 72.03/10.65    (86)  all_10_24 = e4
% 72.03/10.65    (87)  all_10_12 = e3
% 72.03/10.65    (88)  all_8_21 = all_4_9
% 72.03/10.65    (89)   ~ (all_4_22 = all_4_24)
% 72.03/10.65  
% 72.03/10.65  Begin of proof
% 72.03/10.65  | 
% 72.03/10.65  | COMBINE_EQS: (34), (58) imply:
% 72.03/10.65  |   (90)  all_4_0 = e0
% 72.03/10.65  | 
% 72.03/10.65  | COMBINE_EQS: (26), (86) imply:
% 72.03/10.65  |   (91)  all_4_24 = e4
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (75), (90) imply:
% 72.03/10.65  |   (92)   ~ (all_4_2 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | SIMP: (92) implies:
% 72.03/10.65  |   (93)   ~ (all_4_2 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (59), (90) imply:
% 72.03/10.65  |   (94)   ~ (all_4_3 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | SIMP: (94) implies:
% 72.03/10.65  |   (95)   ~ (all_4_3 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (14), (90) imply:
% 72.03/10.65  |   (96)   ~ (all_4_4 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | SIMP: (96) implies:
% 72.03/10.65  |   (97)   ~ (all_4_4 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (47), (90) imply:
% 72.03/10.65  |   (98)   ~ (all_4_5 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | SIMP: (98) implies:
% 72.03/10.65  |   (99)   ~ (all_4_5 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (2), (90) imply:
% 72.03/10.65  |   (100)   ~ (e3 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | SIMP: (100) implies:
% 72.03/10.65  |   (101)   ~ (e3 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (25), (90) imply:
% 72.03/10.65  |   (102)   ~ (e1 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | SIMP: (102) implies:
% 72.03/10.65  |   (103)   ~ (e1 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (89), (91) imply:
% 72.03/10.65  |   (104)   ~ (all_4_22 = e4)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (53), (91) imply:
% 72.03/10.65  |   (105)   ~ (e4 = e3)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (70), (91) imply:
% 72.03/10.65  |   (106)   ~ (e4 = e1)
% 72.03/10.65  | 
% 72.03/10.65  | REDUCE: (12), (91) imply:
% 72.03/10.65  |   (107)   ~ (e4 = e0)
% 72.03/10.65  | 
% 72.03/10.65  | BETA: splitting (81) gives:
% 72.03/10.65  | 
% 72.03/10.65  | Case 1:
% 72.03/10.65  | | 
% 72.03/10.65  | |   (108)  all_6_1 = e2
% 72.03/10.65  | | 
% 72.03/10.65  | | COMBINE_EQS: (19), (108) imply:
% 72.03/10.65  | |   (109)  all_4_5 = e2
% 72.03/10.65  | | 
% 72.03/10.65  | | SIMP: (109) implies:
% 72.03/10.65  | |   (110)  all_4_5 = e2
% 72.03/10.65  | | 
% 72.03/10.65  | | COMBINE_EQS: (62), (110) imply:
% 72.03/10.65  | |   (111)  all_8_1 = e2
% 72.03/10.65  | | 
% 72.03/10.65  | | REDUCE: (68), (110) imply:
% 72.03/10.65  | |   (112)   ~ (all_4_7 = e2)
% 72.03/10.65  | | 
% 72.03/10.65  | | SIMP: (112) implies:
% 72.03/10.65  | |   (113)   ~ (all_4_7 = e2)
% 72.03/10.65  | | 
% 72.03/10.65  | | REDUCE: (4), (110) imply:
% 72.03/10.65  | |   (114)   ~ (all_4_9 = e2)
% 72.03/10.65  | | 
% 72.03/10.65  | | SIMP: (114) implies:
% 72.03/10.65  | |   (115)   ~ (all_4_9 = e2)
% 72.03/10.65  | | 
% 72.03/10.65  | | REDUCE: (21), (110) imply:
% 72.03/10.65  | |   (116)   ~ (e4 = e2)
% 72.03/10.65  | | 
% 72.03/10.65  | | SIMP: (116) implies:
% 72.03/10.65  | |   (117)   ~ (e4 = e2)
% 72.03/10.65  | | 
% 72.03/10.65  | | BETA: splitting (41) gives:
% 72.03/10.65  | | 
% 72.03/10.65  | | Case 1:
% 72.03/10.65  | | | 
% 72.03/10.65  | | |   (118)  all_8_6 = e0
% 72.03/10.65  | | | 
% 72.03/10.65  | | | COMBINE_EQS: (1), (118) imply:
% 72.03/10.65  | | |   (119)  all_4_2 = e0
% 72.03/10.65  | | | 
% 72.03/10.65  | | | SIMP: (119) implies:
% 72.03/10.65  | | |   (120)  all_4_2 = e0
% 72.03/10.65  | | | 
% 72.03/10.65  | | | REDUCE: (93), (120) imply:
% 72.03/10.65  | | |   (121)  $false
% 72.03/10.65  | | | 
% 72.03/10.65  | | | CLOSE: (121) is inconsistent.
% 72.03/10.65  | | | 
% 72.03/10.65  | | Case 2:
% 72.03/10.65  | | | 
% 72.03/10.65  | | |   (122)   ~ (all_8_6 = e0)
% 72.03/10.65  | | |   (123)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 72.03/10.65  | | | 
% 72.03/10.65  | | | BETA: splitting (20) gives:
% 72.03/10.65  | | | 
% 72.03/10.65  | | | Case 1:
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | |   (124)  all_8_12 = e4
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | COMBINE_EQS: (73), (124) imply:
% 72.03/10.65  | | | |   (125)  all_4_3 = e4
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | SIMP: (125) implies:
% 72.03/10.65  | | | |   (126)  all_4_3 = e4
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | COMBINE_EQS: (10), (126) imply:
% 72.03/10.65  | | | |   (127)  all_10_15 = e4
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | REDUCE: (39), (126) imply:
% 72.03/10.65  | | | |   (128)   ~ (all_4_2 = e4)
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | REDUCE: (51), (126) imply:
% 72.03/10.65  | | | |   (129)   ~ (all_4_4 = e4)
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | SIMP: (129) implies:
% 72.03/10.65  | | | |   (130)   ~ (all_4_4 = e4)
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | BETA: splitting (69) gives:
% 72.03/10.65  | | | | 
% 72.03/10.65  | | | | Case 1:
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | |   (131)  all_6_14 = e2
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | COMBINE_EQS: (55), (131) imply:
% 72.03/10.65  | | | | |   (132)  all_4_22 = e2
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | SIMP: (132) implies:
% 72.03/10.65  | | | | |   (133)  all_4_22 = e2
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | COMBINE_EQS: (18), (133) imply:
% 72.03/10.65  | | | | |   (134)  all_10_14 = e2
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | REDUCE: (74), (133) imply:
% 72.03/10.65  | | | | |   (135)   ~ (e3 = e2)
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | SIMP: (135) implies:
% 72.03/10.65  | | | | |   (136)   ~ (e3 = e2)
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | REDUCE: (56), (133) imply:
% 72.03/10.65  | | | | |   (137)   ~ (e2 = e1)
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | REDUCE: (64), (133) imply:
% 72.03/10.65  | | | | |   (138)   ~ (e2 = e0)
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | REDUCE: (57), (133) imply:
% 72.03/10.65  | | | | |   (139)  op(e2, e0) = e2
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | BETA: splitting (32) gives:
% 72.03/10.65  | | | | | 
% 72.03/10.65  | | | | | Case 1:
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | |   (140)  all_8_1 = e0
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | | COMBINE_EQS: (111), (140) imply:
% 72.03/10.65  | | | | | |   (141)  e2 = e0
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | | SIMP: (141) implies:
% 72.03/10.65  | | | | | |   (142)  e2 = e0
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | | REDUCE: (138), (142) imply:
% 72.03/10.65  | | | | | |   (143)  $false
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | | CLOSE: (143) is inconsistent.
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | Case 2:
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | |   (144)   ~ (all_8_1 = e0)
% 72.03/10.65  | | | | | |   (145)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | | BETA: splitting (67) gives:
% 72.03/10.65  | | | | | | 
% 72.03/10.65  | | | | | | Case 1:
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | |   (146)  all_8_20 = e2
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | COMBINE_EQS: (46), (146) imply:
% 72.03/10.65  | | | | | | |   (147)  all_4_4 = e2
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | SIMP: (147) implies:
% 72.03/10.65  | | | | | | |   (148)  all_4_4 = e2
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | COMBINE_EQS: (82), (148) imply:
% 72.03/10.65  | | | | | | |   (149)  all_10_20 = e2
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | REDUCE: (28), (148) imply:
% 72.03/10.65  | | | | | | |   (150)   ~ (all_4_2 = e2)
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | REDUCE: (85), (148) imply:
% 72.03/10.65  | | | | | | |   (151)  op(e0, e4) = e2
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | BETA: splitting (35) gives:
% 72.03/10.65  | | | | | | | 
% 72.03/10.65  | | | | | | | Case 1:
% 72.03/10.65  | | | | | | | | 
% 72.03/10.65  | | | | | | | |   (152)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1
% 72.03/10.65  | | | | | | | |                = e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4)))
% 72.03/10.65  | | | | | | | |            & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 & 
% 72.03/10.65  | | | | | | | |                ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit
% 72.03/10.65  | | | | | | | |                = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 72.03/10.65  | | | | | | | |                ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5
% 72.03/10.65  | | | | | | | |                = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 72.03/10.65  | | | | | | | |              (all_10_5 = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 =
% 72.03/10.65  | | | | | | | |                e4) | (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11
% 72.03/10.65  | | | | | | | |                = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1
% 72.03/10.65  | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.03/10.65  | | | | | | | |              (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15
% 72.03/10.65  | | | | | | | |                = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.03/10.65  | | | | | | | |              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17
% 72.03/10.65  | | | | | | | |                = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0
% 72.03/10.65  | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.03/10.65  | | | | | | | |              (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 =
% 72.03/10.65  | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.03/10.65  | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23
% 72.03/10.65  | | | | | | | |                = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e4)))) | (( ~ (all_10_0 = e3) | (all_10_1 = e4
% 72.03/10.65  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~
% 72.03/10.65  | | | | | | | |              (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 72.03/10.65  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.03/10.65  | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 =
% 72.03/10.65  | | | | | | | |                e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.03/10.65  | | | | | | | |            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3)))
% 72.03/10.65  | | | | | | | |            & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.03/10.65  | | | | | | | |                ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.03/10.65  | | | | | | | |              (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11
% 72.03/10.65  | | | | | | | |                = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 72.03/10.65  | | | | | | | |              (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13
% 72.03/10.65  | | | | | | | |                = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4
% 72.03/10.65  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |  ~
% 72.03/10.65  | | | | | | | |              (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 =
% 72.03/10.65  | | | | | | | |                e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.03/10.65  | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19
% 72.03/10.65  | | | | | | | |                = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | |              (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3))
% 72.03/10.65  | | | | | | | |            & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 72.03/10.65  | | | | | | | |                  e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1
% 72.03/10.65  | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 72.03/10.65  | | | | | | | |              (all_10_21 = e0 &  ~ (unit = e3))))
% 72.03/10.65  | | | | | | | | 
% 72.03/10.65  | | | | | | | | BETA: splitting (152) gives:
% 72.03/10.65  | | | | | | | | 
% 72.03/10.65  | | | | | | | | Case 1:
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | |   (153)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1
% 72.03/10.65  | | | | | | | | |              = e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4)))
% 72.03/10.65  | | | | | | | | |          & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 & 
% 72.03/10.65  | | | | | | | | |              ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit
% 72.03/10.65  | | | | | | | | |              = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 72.03/10.65  | | | | | | | | |              ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5
% 72.03/10.65  | | | | | | | | |              = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 72.03/10.65  | | | | | | | | |            (all_10_5 = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 =
% 72.03/10.65  | | | | | | | | |              e4) | (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11
% 72.03/10.65  | | | | | | | | |              = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1
% 72.03/10.65  | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.03/10.65  | | | | | | | | |            (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15
% 72.03/10.65  | | | | | | | | |              = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.03/10.65  | | | | | | | | |            (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17
% 72.03/10.65  | | | | | | | | |              = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0
% 72.03/10.65  | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.03/10.65  | | | | | | | | |            (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 =
% 72.03/10.65  | | | | | | | | |              e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.03/10.65  | | | | | | | | |            (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23
% 72.03/10.65  | | | | | | | | |              = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e4)))
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | | ALPHA: (153) implies:
% 72.03/10.65  | | | | | | | | |   (154)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |              e4))
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | | REF_CLOSE: (82), (86), (97), (154) are inconsistent by
% 72.03/10.65  | | | | | | | | |            sub-proof #47.
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | Case 2:
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | |   (155)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3)) &
% 72.03/10.65  | | | | | | | | |          ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 & 
% 72.03/10.65  | | | | | | | | |              ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1
% 72.03/10.65  | | | | | | | | |              = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.03/10.65  | | | | | | | | |            (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 =
% 72.03/10.65  | | | | | | | | |              e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.03/10.65  | | | | | | | | |            (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 =
% 72.03/10.65  | | | | | | | | |              e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3)))
% 72.03/10.65  | | | | | | | | |          & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3))
% 72.03/10.65  | | | | | | | | |          & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1
% 72.03/10.65  | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 72.03/10.65  | | | | | | | | |            (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15
% 72.03/10.65  | | | | | | | | |              = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17
% 72.03/10.65  | | | | | | | | |              = e3) | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0
% 72.03/10.65  | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.03/10.65  | | | | | | | | |            (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21
% 72.03/10.65  | | | | | | | | |              = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 72.03/10.65  | | | | | | | | |            (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23
% 72.03/10.65  | | | | | | | | |              = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.65  | | | | | | | | |            (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |                e3)))
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | | ALPHA: (155) implies:
% 72.03/10.65  | | | | | | | | |   (156)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |              e3))
% 72.03/10.65  | | | | | | | | |   (157)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit =
% 72.03/10.65  | | | | | | | | |              e3))
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | | REF_CLOSE: (11), (22), (27), (33), (49), (63), (65), (87),
% 72.03/10.65  | | | | | | | | |            (88), (103), (107), (138), (145), (156), (157) are
% 72.03/10.65  | | | | | | | | |            inconsistent by sub-proof #253.
% 72.03/10.65  | | | | | | | | | 
% 72.03/10.65  | | | | | | | | End of split
% 72.03/10.65  | | | | | | | | 
% 72.03/10.65  | | | | | | | Case 2:
% 72.03/10.65  | | | | | | | | 
% 72.03/10.66  | | | | | | | |   (158)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3 & 
% 72.03/10.66  | | | | | | | |                ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~ (unit
% 72.03/10.66  | | | | | | | |                = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 & 
% 72.03/10.66  | | | | | | | |                ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_2
% 72.03/10.66  | | | | | | | |                = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.03/10.66  | | | | | | | |              (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 =
% 72.03/10.66  | | | | | | | |                e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 72.03/10.66  | | | | | | | |                e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2)))
% 72.03/10.66  | | | | | | | |            & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~
% 72.03/10.66  | | | | | | | |              (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 72.03/10.66  | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 72.03/10.66  | | | | | | | |              (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15
% 72.03/10.66  | | | | | | | |                = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 72.03/10.66  | | | | | | | |            & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.03/10.66  | | | | | | | |              (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21
% 72.03/10.66  | | | | | | | |                = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23
% 72.03/10.66  | | | | | | | |                = e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) |
% 72.03/10.66  | | | | | | | |              (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 =
% 72.03/10.66  | | | | | | | |                e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 =
% 72.03/10.66  | | | | | | | |                e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1)))
% 72.03/10.66  | | | | | | | |            & ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2 & 
% 72.03/10.66  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit
% 72.03/10.66  | | | | | | | |                = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 72.03/10.66  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.03/10.66  | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11
% 72.03/10.66  | | | | | | | |                = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1))
% 72.03/10.66  | | | | | | | |            & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.03/10.66  | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17
% 72.03/10.66  | | | | | | | |                = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19
% 72.03/10.66  | | | | | | | |                = e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.03/10.66  | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23
% 72.03/10.66  | | | | | | | |                = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.03/10.66  | | | | | | | |              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 72.03/10.66  | | | | | | | |              (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0)))
% 72.03/10.66  | | | | | | | |            & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.03/10.66  | | | | | | | |                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4
% 72.03/10.66  | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) | 
% 72.03/10.66  | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 =
% 72.03/10.66  | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.03/10.66  | | | | | | | |              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 =
% 72.03/10.66  | | | | | | | |                e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0)))
% 72.03/10.66  | | | | | | | |            & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.03/10.66  | | | | | | | |              (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13
% 72.03/10.66  | | | | | | | |                = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15
% 72.03/10.66  | | | | | | | |                = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.03/10.66  | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19
% 72.03/10.66  | | | | | | | |                = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.03/10.66  | | | | | | | |              (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21
% 72.03/10.66  | | | | | | | |                = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | |                  e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1
% 72.03/10.66  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 72.03/10.66  | | | | | | | |              (unit = e0)))
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | BETA: splitting (158) gives:
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | |   (159)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3 & 
% 72.03/10.66  | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~ (unit
% 72.03/10.66  | | | | | | | | |              = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 & 
% 72.03/10.66  | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_2
% 72.03/10.66  | | | | | | | | |              = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.03/10.66  | | | | | | | | |            (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 =
% 72.03/10.66  | | | | | | | | |              e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | | |            (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 72.03/10.66  | | | | | | | | |              e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | | |            (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2)))
% 72.03/10.66  | | | | | | | | |          & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3
% 72.03/10.66  | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~
% 72.03/10.66  | | | | | | | | |            (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 72.03/10.66  | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 72.03/10.66  | | | | | | | | |            (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15
% 72.03/10.66  | | | | | | | | |              = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | | |            (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 72.03/10.66  | | | | | | | | |          & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0
% 72.03/10.66  | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.03/10.66  | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21
% 72.03/10.66  | | | | | | | | |              = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | | |            (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23
% 72.03/10.66  | | | | | | | | |              = e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 72.03/10.66  | | | | | | | | |            (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e2)))
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | ALPHA: (159) implies:
% 72.03/10.66  | | | | | | | | |   (160)   ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |              e2))
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | REF_CLOSE: (61), (107), (149), (160) are inconsistent by
% 72.03/10.66  | | | | | | | | |            sub-proof #95.
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | |   (161)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 72.03/10.66  | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 72.03/10.66  | | | | | | | | |              (all_10_3 = e2 &  ~ (unit = e1))) & ( ~ (all_10_3
% 72.03/10.66  | | | | | | | | |                = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 72.03/10.66  | | | | | | | | |              (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.03/10.66  | | | | | | | | |                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2
% 72.03/10.66  | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 72.03/10.66  | | | | | | | | |              (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 =
% 72.03/10.66  | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.03/10.66  | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 72.03/10.66  | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) | 
% 72.03/10.66  | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.03/10.66  | | | | | | | | |              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 72.03/10.66  | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.03/10.66  | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 72.03/10.66  | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.03/10.66  | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &
% 72.03/10.66  | | | | | | | | |                 ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.03/10.66  | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1
% 72.03/10.66  | | | | | | | | |                = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1
% 72.03/10.66  | | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~
% 72.03/10.66  | | | | | | | | |              (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 =
% 72.03/10.66  | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.03/10.66  | | | | | | | | |              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7
% 72.03/10.66  | | | | | | | | |                = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0))
% 72.03/10.66  | | | | | | | | |            & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit
% 72.03/10.66  | | | | | | | | |                  = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 =
% 72.03/10.66  | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.03/10.66  | | | | | | | | |              (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e0))) & ( ~ (all_10_14 = e0) |  ~ (unit =
% 72.03/10.66  | | | | | | | | |                e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4 &
% 72.03/10.66  | | | | | | | | |                 ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.03/10.66  | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e0))) & ( ~ (all_10_18 = e0) | (all_10_19 =
% 72.03/10.66  | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) | 
% 72.03/10.66  | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.03/10.66  | | | | | | | | |              (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | |                  e0))) & ( ~ (all_10_22 = e0) | (all_10_24 =
% 72.03/10.66  | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 72.03/10.66  | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | BETA: splitting (161) gives:
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | |   (162)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 72.03/10.66  | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 72.03/10.66  | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~ (all_10_3
% 72.03/10.66  | | | | | | | | | |              = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 72.03/10.66  | | | | | | | | | |            (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.03/10.66  | | | | | | | | | |              = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2
% 72.03/10.66  | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 72.03/10.66  | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 =
% 72.03/10.66  | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.03/10.66  | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 72.03/10.66  | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) | 
% 72.03/10.66  | | | | | | | | | |            ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.03/10.66  | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 72.03/10.66  | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.03/10.66  | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 72.03/10.66  | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.03/10.66  | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 72.03/10.66  | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &
% 72.03/10.66  | | | | | | | | | |               ~ (unit = e1)))
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | ALPHA: (162) implies:
% 72.03/10.66  | | | | | | | | | |   (163)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |              e1))
% 72.03/10.66  | | | | | | | | | |   (164)   ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |              e1))
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | BETA: splitting (13) gives:
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | |   (165)  all_6_11 = e3
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | REF_CLOSE: (23), (54), (165) are inconsistent by sub-proof
% 72.03/10.66  | | | | | | | | | | |            #143.
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | |   (166)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 |
% 72.03/10.66  | | | | | | | | | | |          all_6_11 = e0
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | BETA: splitting (37) gives:
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | |   (167)  all_8_6 = e1
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | COMBINE_EQS: (1), (167) imply:
% 72.03/10.66  | | | | | | | | | | | |   (168)  all_4_2 = e1
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | SIMP: (168) implies:
% 72.03/10.66  | | | | | | | | | | | |   (169)  all_4_2 = e1
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REDUCE: (44), (169) imply:
% 72.03/10.66  | | | | | | | | | | | |   (170)   ~ (e3 = e1)
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | SIMP: (170) implies:
% 72.03/10.66  | | | | | | | | | | | |   (171)   ~ (e3 = e1)
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REDUCE: (150), (169) imply:
% 72.03/10.66  | | | | | | | | | | | |   (172)   ~ (e2 = e1)
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REDUCE: (45), (169) imply:
% 72.03/10.66  | | | | | | | | | | | |   (173)  op(e2, e4) = e1
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | BETA: splitting (164) gives:
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | |   (174)   ~ (all_10_7 = e1)
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | REDUCE: (80), (174) imply:
% 72.03/10.66  | | | | | | | | | | | | |   (175)  $false
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | |   (176)  all_10_8 = e2 &  ~ (unit = e1)
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | ALPHA: (176) implies:
% 72.03/10.66  | | | | | | | | | | | | |   (177)   ~ (unit = e1)
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | BETA: splitting (31) gives:
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | |   (178)  all_8_3 = e1
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | COMBINE_EQS: (27), (178) imply:
% 72.03/10.66  | | | | | | | | | | | | | |   (179)  e4 = e1
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | SIMP: (179) implies:
% 72.03/10.66  | | | | | | | | | | | | | |   (180)  e4 = e1
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | COMBINE_EQS: (127), (180) imply:
% 72.03/10.66  | | | | | | | | | | | | | |   (181)  all_10_15 = e1
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | REF_CLOSE: (84), (107), (163), (181) are inconsistent by
% 72.03/10.66  | | | | | | | | | | | | | |            sub-proof #234.
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | |   (182)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | |   (183)  all_8_7 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | REF_CLOSE: (17), (27), (32), (36), (62), (79), (88), (101),
% 72.03/10.66  | | | | | | | | | | | | | | |            (103), (107), (115), (117), (136), (137), (138),
% 72.03/10.66  | | | | | | | | | | | | | | |            (183) are inconsistent by sub-proof #84.
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | |   (184)  all_8_13 = e1 | all_8_21 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | |   (185)  all_8_13 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | REF_CLOSE: (17), (171), (185) are inconsistent by sub-proof
% 72.03/10.66  | | | | | | | | | | | | | | | |            #242.
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | |   (186)  all_8_21 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (186) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | |   (187)  all_4_9 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | SIMP: (187) implies:
% 72.03/10.66  | | | | | | | | | | | | | | | |   (188)  all_4_9 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | REDUCE: (8), (188) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | |   (189)  op(e0, e3) = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | BETA: splitting (43) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | |   (190)  unit = e2
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | REDUCE: (72), (190) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | |   (191)  op(e2, e0) = e0
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (138), (139), (191) are inconsistent by
% 72.03/10.66  | | | | | | | | | | | | | | | | |            sub-proof #247.
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | |   (192)  unit = e4 | unit = e1 | unit = e0
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | |   (193)  unit = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | REDUCE: (177), (193) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | |   (194)  $false
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | |   (195)  unit = e4 | unit = e0
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (196)  unit = e4
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (40), (137), (173), (196) are inconsistent by
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |            sub-proof #246.
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (197)  unit = e0
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | REDUCE: (16), (197) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (198)  op(e0, e4) = e4
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | REDUCE: (15), (197) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (199)  op(e0, e3) = e3
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | REDUCE: (42), (197) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (200)  op(e0, e2) = e2
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | REDUCE: (66), (197) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (201)  op(e4, e0) = e4
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e0, e2, e2, e0,
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |              simplifying with (60), (200) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (202)  e2 = e0
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e1, e3, e3, e0,
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |              simplifying with (189), (199) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (203)  e3 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e2, e4, e4, e0,
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |              simplifying with (151), (198) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (204)  e4 = e2
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e3, e4, e0, e4,
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |              simplifying with (9), (201) gives:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (205)  e4 = e3
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (204), (205) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (206)  e3 = e2
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (203), (206) imply:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (207)  e2 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | SIMP: (207) implies:
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |   (208)  e2 = e1
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (103), (202), (208) are inconsistent by sub-proof
% 72.03/10.66  | | | | | | | | | | | | | | | | | | |            #72.
% 72.03/10.66  | | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | |   (209)   ~ (all_8_6 = e1)
% 72.03/10.66  | | | | | | | | | | | |   (210)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 72.03/10.66  | | | | | | | | | | | |          all_8_18 = e1
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REDUCE: (1), (209) imply:
% 72.03/10.66  | | | | | | | | | | | |   (211)   ~ (all_4_2 = e1)
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REF_CLOSE: (3), (7), (17), (23), (24), (27), (32), (36),
% 72.03/10.66  | | | | | | | | | | | |            (50), (55), (56), (62), (63), (69), (76), (77),
% 72.03/10.66  | | | | | | | | | | | |            (79), (88), (93), (101), (103), (104), (107),
% 72.03/10.66  | | | | | | | | | | | |            (115), (117), (128), (136), (137), (138), (166),
% 72.03/10.66  | | | | | | | | | | | |            (210), (211) are inconsistent by sub-proof #83.
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | |   (212)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 72.03/10.66  | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.03/10.66  | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3
% 72.03/10.66  | | | | | | | | | |              = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.03/10.66  | | | | | | | | | |              = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e0))) & ( ~ (all_10_7 = e0) | (all_10_9 = e2
% 72.03/10.66  | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.03/10.66  | | | | | | | | | |            (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9
% 72.03/10.66  | | | | | | | | | |              = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0)
% 72.03/10.66  | | | | | | | | | |            | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e0))) & ( ~ (all_10_12 = e0) | (all_10_14 =
% 72.03/10.66  | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.03/10.66  | | | | | | | | | |            (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e0))) & ( ~ (all_10_16 = e0) | (all_10_19 =
% 72.03/10.66  | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.03/10.66  | | | | | | | | | |            (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e0))) & ( ~ (all_10_19 = e0) |  ~ (unit =
% 72.03/10.66  | | | | | | | | | |              e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &
% 72.03/10.66  | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 72.03/10.66  | | | | | | | | | |            (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.66  | | | | | | | | | |            (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |                e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 72.03/10.66  | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) | 
% 72.03/10.66  | | | | | | | | | |            ~ (unit = e0))
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | ALPHA: (212) implies:
% 72.03/10.66  | | | | | | | | | |   (213)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 72.03/10.66  | | | | | | | | | |              e0))
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | BETA: splitting (123) gives:
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | |   (214)  all_8_7 = e0
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | COMBINE_EQS: (63), (214) imply:
% 72.03/10.66  | | | | | | | | | | |   (215)  all_4_7 = e0
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | COMBINE_EQS: (65), (215) imply:
% 72.03/10.66  | | | | | | | | | | |   (216)  all_10_11 = e0
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | BETA: splitting (213) gives:
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | |   (217)   ~ (all_10_11 = e0)
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REDUCE: (216), (217) imply:
% 72.03/10.66  | | | | | | | | | | | |   (218)  $false
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | |   (219)  all_10_14 = e3 &  ~ (unit = e0)
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | ALPHA: (219) implies:
% 72.03/10.66  | | | | | | | | | | | |   (220)  all_10_14 = e3
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | COMBINE_EQS: (134), (220) imply:
% 72.03/10.66  | | | | | | | | | | | |   (221)  e3 = e2
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | REDUCE: (136), (221) imply:
% 72.03/10.66  | | | | | | | | | | | |   (222)  $false
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | | CLOSE: (222) is inconsistent.
% 72.03/10.66  | | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | |   (223)   ~ (all_8_7 = e0)
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | REDUCE: (63), (223) imply:
% 72.03/10.66  | | | | | | | | | | |   (224)   ~ (all_4_7 = e0)
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | | REF_CLOSE: (17), (27), (63), (79), (88), (101), (107), (145),
% 72.03/10.66  | | | | | | | | | | |            (224) are inconsistent by sub-proof #220.
% 72.03/10.66  | | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | | 
% 72.03/10.66  | | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | | 
% 72.03/10.66  | | | | | | | | End of split
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | End of split
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | Case 2:
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | |   (225)   ~ (all_8_20 = e2)
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | | REDUCE: (46), (225) imply:
% 72.03/10.66  | | | | | | |   (226)   ~ (all_4_4 = e2)
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | | REF_CLOSE: (1), (3), (7), (13), (17), (23), (24), (27), (28),
% 72.03/10.66  | | | | | | |            (30), (32), (36), (37), (50), (52), (54), (55), (56),
% 72.03/10.66  | | | | | | |            (62), (63), (69), (76), (77), (79), (83), (88), (93),
% 72.03/10.66  | | | | | | |            (97), (101), (104), (107), (115), (117), (128), (130),
% 72.03/10.66  | | | | | | |            (136), (138), (226) are inconsistent by sub-proof #46.
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | End of split
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | End of split
% 72.03/10.66  | | | | | 
% 72.03/10.66  | | | | Case 2:
% 72.03/10.66  | | | | | 
% 72.03/10.66  | | | | |   (227)   ~ (all_6_14 = e2)
% 72.03/10.66  | | | | | 
% 72.03/10.66  | | | | | REDUCE: (55), (227) imply:
% 72.03/10.66  | | | | |   (228)   ~ (all_4_22 = e2)
% 72.03/10.66  | | | | | 
% 72.03/10.66  | | | | | BETA: splitting (48) gives:
% 72.03/10.66  | | | | | 
% 72.03/10.66  | | | | | Case 1:
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | |   (229)  all_8_6 = e2
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | COMBINE_EQS: (1), (229) imply:
% 72.03/10.66  | | | | | |   (230)  all_4_2 = e2
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | SIMP: (230) implies:
% 72.03/10.66  | | | | | |   (231)  all_4_2 = e2
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | REDUCE: (28), (231) imply:
% 72.03/10.66  | | | | | |   (232)   ~ (all_4_4 = e2)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | SIMP: (232) implies:
% 72.03/10.66  | | | | | |   (233)   ~ (all_4_4 = e2)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | REDUCE: (44), (231) imply:
% 72.03/10.66  | | | | | |   (234)   ~ (e3 = e2)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | SIMP: (234) implies:
% 72.03/10.66  | | | | | |   (235)   ~ (e3 = e2)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | REDUCE: (93), (231) imply:
% 72.03/10.66  | | | | | |   (236)   ~ (e2 = e0)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | REF_CLOSE: (1), (3), (7), (13), (17), (23), (24), (27), (28), (30),
% 72.03/10.66  | | | | | |            (32), (36), (37), (50), (52), (54), (55), (56), (62),
% 72.03/10.66  | | | | | |            (63), (69), (76), (77), (79), (83), (88), (93), (97),
% 72.03/10.66  | | | | | |            (101), (104), (107), (115), (117), (128), (130), (233),
% 72.03/10.66  | | | | | |            (235), (236) are inconsistent by sub-proof #46.
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | Case 2:
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | |   (237)   ~ (all_8_6 = e2)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | REDUCE: (1), (237) imply:
% 72.03/10.66  | | | | | |   (238)   ~ (all_4_2 = e2)
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | BETA: splitting (50) gives:
% 72.03/10.66  | | | | | | 
% 72.03/10.66  | | | | | | Case 1:
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | |   (239)  all_6_10 = e2
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | | REF_CLOSE: (77), (238), (239) are inconsistent by sub-proof #93.
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | Case 2:
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | |   (240)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | | BETA: splitting (240) gives:
% 72.03/10.66  | | | | | | | 
% 72.03/10.66  | | | | | | | Case 1:
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | |   (241)  all_6_10 = e1
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | COMBINE_EQS: (77), (241) imply:
% 72.03/10.66  | | | | | | | |   (242)  all_4_2 = e1
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | SIMP: (242) implies:
% 72.03/10.66  | | | | | | | |   (243)  all_4_2 = e1
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | REDUCE: (3), (243) imply:
% 72.03/10.66  | | | | | | | |   (244)   ~ (all_4_7 = e1)
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | SIMP: (244) implies:
% 72.03/10.66  | | | | | | | |   (245)   ~ (all_4_7 = e1)
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | REDUCE: (76), (243) imply:
% 72.03/10.66  | | | | | | | |   (246)   ~ (all_4_22 = e1)
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | | REF_CLOSE: (7), (13), (23), (24), (54), (55), (56), (69), (104),
% 72.03/10.66  | | | | | | | |            (113), (228), (245) are inconsistent by sub-proof
% 72.03/10.66  | | | | | | | |            #45.
% 72.03/10.66  | | | | | | | | 
% 72.03/10.66  | | | | | | | Case 2:
% 72.03/10.66  | | | | | | | | 
% 72.03/10.67  | | | | | | | |   (247)  all_6_10 = e4 | all_6_10 = e0
% 72.03/10.67  | | | | | | | | 
% 72.03/10.67  | | | | | | | | REF_CLOSE: (77), (93), (128), (247) are inconsistent by
% 72.03/10.67  | | | | | | | |            sub-proof #236.
% 72.03/10.67  | | | | | | | | 
% 72.03/10.67  | | | | | | | End of split
% 72.03/10.67  | | | | | | | 
% 72.03/10.67  | | | | | | End of split
% 72.03/10.67  | | | | | | 
% 72.03/10.67  | | | | | End of split
% 72.03/10.67  | | | | | 
% 72.03/10.67  | | | | End of split
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | Case 2:
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | |   (248)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | | REF_CLOSE: (17), (29), (38), (78), (105), (106), (107), (117), (248) are
% 72.03/10.67  | | | |            inconsistent by sub-proof #164.
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | End of split
% 72.03/10.67  | | | 
% 72.03/10.67  | | End of split
% 72.03/10.67  | | 
% 72.03/10.67  | Case 2:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (249)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 72.03/10.67  | | 
% 72.03/10.67  | | REF_CLOSE: (5), (19), (21), (99), (249) are inconsistent by sub-proof #227.
% 72.03/10.67  | | 
% 72.03/10.67  | End of split
% 72.03/10.67  | 
% 72.03/10.67  End of proof
% 72.03/10.67  
% 72.03/10.67  Sub-proof #45 shows that the following formulas are inconsistent:
% 72.03/10.67  ----------------------------------------------------------------
% 72.03/10.67    (1)   ~ (all_4_7 = all_4_22)
% 72.03/10.67    (2)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 72.03/10.67         = e0
% 72.03/10.67    (3)  all_6_11 = all_4_7
% 72.03/10.67    (4)   ~ (all_4_7 = e4)
% 72.03/10.67    (5)   ~ (all_4_7 = e2)
% 72.03/10.67    (6)   ~ (all_4_7 = e3)
% 72.03/10.67    (7)  all_6_14 = all_4_22
% 72.03/10.67    (8)   ~ (all_4_22 = e1)
% 72.03/10.67    (9)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 72.03/10.67    (10)   ~ (all_4_22 = e4)
% 72.03/10.67    (11)   ~ (all_4_7 = e1)
% 72.03/10.67    (12)   ~ (all_4_22 = e2)
% 72.03/10.67  
% 72.03/10.67  Begin of proof
% 72.03/10.67  | 
% 72.03/10.67  | BETA: splitting (2) gives:
% 72.03/10.67  | 
% 72.03/10.67  | Case 1:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (13)  all_6_11 = e3
% 72.03/10.67  | | 
% 72.03/10.67  | | REF_CLOSE: (3), (6), (13) are inconsistent by sub-proof #143.
% 72.03/10.67  | | 
% 72.03/10.67  | Case 2:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (14)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.03/10.67  | | 
% 72.03/10.67  | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14) are
% 72.03/10.67  | |            inconsistent by sub-proof #86.
% 72.03/10.67  | | 
% 72.03/10.67  | End of split
% 72.03/10.67  | 
% 72.03/10.67  End of proof
% 72.03/10.67  
% 72.03/10.67  Sub-proof #46 shows that the following formulas are inconsistent:
% 72.03/10.67  ----------------------------------------------------------------
% 72.03/10.67    (1)  all_8_6 = all_4_2
% 72.03/10.67    (2)   ~ (all_4_2 = all_4_7)
% 72.03/10.67    (3)   ~ (all_4_7 = all_4_22)
% 72.03/10.67    (4)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 72.03/10.67         = e0
% 72.03/10.67    (5)  all_8_13 = e3
% 72.03/10.67    (6)  all_6_11 = all_4_7
% 72.03/10.67    (7)   ~ (e4 = e0)
% 72.03/10.67    (8)   ~ (all_4_7 = e4)
% 72.03/10.67    (9)  all_8_3 = e4
% 72.03/10.67    (10)   ~ (all_4_2 = all_4_4)
% 72.03/10.67    (11)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20
% 72.03/10.67          = e0
% 72.03/10.67    (12)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.03/10.67          e0
% 72.03/10.67    (13)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.03/10.67          e2
% 72.03/10.67    (14)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 72.03/10.67          e1
% 72.03/10.67    (15)   ~ (e3 = e0)
% 72.03/10.67    (16)   ~ (all_4_4 = e4)
% 72.03/10.67    (17)   ~ (e4 = e2)
% 72.03/10.67    (18)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 72.03/10.67    (19)  all_6_20 = all_4_4
% 72.03/10.67    (20)   ~ (all_4_7 = e3)
% 72.03/10.67    (21)  all_6_14 = all_4_22
% 72.03/10.67    (22)   ~ (all_4_22 = e1)
% 72.03/10.67    (23)   ~ (all_4_4 = e0)
% 72.03/10.67    (24)  all_8_1 = all_4_5
% 72.03/10.67    (25)   ~ (e3 = e2)
% 72.03/10.67    (26)  all_8_7 = all_4_7
% 72.03/10.67    (27)   ~ (all_4_2 = e4)
% 72.03/10.67    (28)   ~ (all_4_2 = e0)
% 72.03/10.67    (29)   ~ (all_4_9 = e2)
% 72.03/10.67    (30)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 72.03/10.67    (31)   ~ (all_4_22 = e4)
% 72.03/10.67    (32)   ~ (all_4_2 = all_4_22)
% 72.03/10.67    (33)  all_6_10 = all_4_2
% 72.03/10.67    (34)   ~ (all_4_9 = e0)
% 72.03/10.67    (35)   ~ (all_4_4 = e2)
% 72.03/10.67    (36)   ~ (all_4_4 = e3)
% 72.03/10.67    (37)   ~ (e2 = e0)
% 72.03/10.67    (38)  all_8_21 = all_4_9
% 72.03/10.67  
% 72.03/10.67  Begin of proof
% 72.03/10.67  | 
% 72.03/10.67  | BETA: splitting (11) gives:
% 72.03/10.67  | 
% 72.03/10.67  | Case 1:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (39)  all_6_20 = e3
% 72.03/10.67  | | 
% 72.03/10.67  | | REF_CLOSE: (19), (36), (39) are inconsistent by sub-proof #261.
% 72.03/10.67  | | 
% 72.03/10.67  | Case 2:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (40)  all_6_20 = e4 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0
% 72.03/10.67  | | 
% 72.03/10.67  | | BETA: splitting (4) gives:
% 72.03/10.67  | | 
% 72.03/10.67  | | Case 1:
% 72.03/10.67  | | | 
% 72.03/10.67  | | |   (41)  all_6_11 = e3
% 72.03/10.67  | | | 
% 72.03/10.67  | | | REF_CLOSE: (6), (20), (41) are inconsistent by sub-proof #143.
% 72.03/10.67  | | | 
% 72.03/10.67  | | Case 2:
% 72.03/10.67  | | | 
% 72.03/10.67  | | |   (42)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.03/10.67  | | | 
% 72.03/10.67  | | | BETA: splitting (40) gives:
% 72.03/10.67  | | | 
% 72.03/10.67  | | | Case 1:
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | |   (43)  all_6_20 = e2
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | | REF_CLOSE: (19), (35), (43) are inconsistent by sub-proof #136.
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | Case 2:
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | |   (44)  all_6_20 = e4 | all_6_20 = e1 | all_6_20 = e0
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (12), (13),
% 72.03/10.67  | | | |            (14), (15), (16), (17), (18), (19), (21), (22), (23), (24),
% 72.03/10.67  | | | |            (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 72.03/10.67  | | | |            (35), (37), (38), (42), (44) are inconsistent by sub-proof
% 72.03/10.67  | | | |            #79.
% 72.03/10.67  | | | | 
% 72.03/10.67  | | | End of split
% 72.03/10.67  | | | 
% 72.03/10.67  | | End of split
% 72.03/10.67  | | 
% 72.03/10.67  | End of split
% 72.03/10.67  | 
% 72.03/10.67  End of proof
% 72.03/10.67  
% 72.03/10.67  Sub-proof #47 shows that the following formulas are inconsistent:
% 72.03/10.67  ----------------------------------------------------------------
% 72.03/10.67    (1)   ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4))
% 72.03/10.67    (2)  all_10_24 = e4
% 72.03/10.67    (3)  all_10_20 = all_4_4
% 72.03/10.67    (4)   ~ (all_4_4 = e0)
% 72.03/10.67  
% 72.03/10.67  Begin of proof
% 72.03/10.67  | 
% 72.03/10.67  | BETA: splitting (1) gives:
% 72.03/10.67  | 
% 72.03/10.67  | Case 1:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (5)   ~ (all_10_24 = e4)
% 72.03/10.67  | | 
% 72.03/10.67  | | REDUCE: (2), (5) imply:
% 72.03/10.67  | |   (6)  $false
% 72.03/10.67  | | 
% 72.03/10.67  | | CLOSE: (6) is inconsistent.
% 72.03/10.67  | | 
% 72.03/10.67  | Case 2:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (7)  all_10_20 = e0 &  ~ (unit = e4)
% 72.03/10.67  | | 
% 72.03/10.67  | | ALPHA: (7) implies:
% 72.03/10.67  | |   (8)  all_10_20 = e0
% 72.03/10.67  | | 
% 72.03/10.67  | | COMBINE_EQS: (3), (8) imply:
% 72.03/10.67  | |   (9)  all_4_4 = e0
% 72.03/10.67  | | 
% 72.03/10.67  | | SIMP: (9) implies:
% 72.03/10.67  | |   (10)  all_4_4 = e0
% 72.03/10.67  | | 
% 72.03/10.67  | | REDUCE: (4), (10) imply:
% 72.03/10.67  | |   (11)  $false
% 72.03/10.67  | | 
% 72.03/10.67  | | CLOSE: (11) is inconsistent.
% 72.03/10.67  | | 
% 72.03/10.67  | End of split
% 72.03/10.67  | 
% 72.03/10.67  End of proof
% 72.03/10.67  
% 72.03/10.67  Sub-proof #48 shows that the following formulas are inconsistent:
% 72.03/10.67  ----------------------------------------------------------------
% 72.03/10.67    (1)   ~ (all_4_2 = e1)
% 72.03/10.67    (2)  all_8_13 = e3
% 72.03/10.67    (3)  all_10_23 = e3
% 72.03/10.67    (4)   ~ (e4 = e0)
% 72.03/10.67    (5)  all_10_24 = e1
% 72.03/10.67    (6)  all_8_14 = e2
% 72.03/10.67    (7)  all_6_21 = e4 | all_6_21 = e2 | all_6_21 = e1 | all_6_21 = e0
% 72.03/10.67    (8)  all_10_21 = all_4_9
% 72.03/10.67    (9)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.03/10.67               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.03/10.67               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.03/10.67                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.03/10.67           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.03/10.67               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.03/10.67               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.03/10.67                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.03/10.67           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.03/10.67             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.03/10.67             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.03/10.67             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.03/10.67             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.03/10.67               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.03/10.67           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.67             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.67             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.03/10.67             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.03/10.67             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.03/10.67             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.03/10.67             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.03/10.67             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.03/10.67             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.03/10.67               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.03/10.67             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.03/10.67               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.03/10.67             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.03/10.67               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.03/10.67             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.03/10.67               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.03/10.67             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.03/10.67               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.03/10.67           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.67             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.67             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.03/10.67             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.03/10.67             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.03/10.67             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.03/10.67             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.03/10.67             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.03/10.67               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.03/10.67           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.67             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.03/10.67             (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1 =
% 72.03/10.67               e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.03/10.67             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.03/10.67                 e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) &
% 72.03/10.67           ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6
% 72.03/10.67               = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 72.03/10.67             ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 72.03/10.67                 e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) &
% 72.03/10.67           ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.67             (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.67             (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 72.03/10.67             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 72.03/10.67             (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.03/10.67             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.03/10.67             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.03/10.67               = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.03/10.67           & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.03/10.67             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.67             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.67             (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.03/10.67             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.03/10.67             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.03/10.67             (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 72.03/10.67               e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 72.03/10.67               (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.67             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 =
% 72.03/10.67               e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.03/10.67             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 =
% 72.03/10.67               e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.67             (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10
% 72.03/10.67               = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.03/10.67             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.03/10.67             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit
% 72.03/10.67               = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1)))
% 72.03/10.67           & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.67             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.67             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.67             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.03/10.67             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.03/10.67             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.03/10.67             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.03/10.67             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 72.03/10.67               = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit = e1))))
% 72.03/10.67         | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 =
% 72.03/10.67               e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.03/10.67             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 72.03/10.67               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & (
% 72.03/10.67             ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7
% 72.03/10.67               = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.03/10.67             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 72.03/10.67               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) &
% 72.03/10.67           ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.03/10.67             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.03/10.67             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.03/10.67             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.03/10.67             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.03/10.67               = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.03/10.67           & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.67             (all_10_24 = e0) |  ~ (unit = e0)))
% 72.03/10.67    (10)  all_8_15 = e0
% 72.03/10.67    (11)  all_10_23 = all_4_19
% 72.03/10.67    (12)   ~ (e3 = e0)
% 72.03/10.67    (13)  all_10_13 = e4
% 72.03/10.67    (14)   ~ (all_4_9 = e1)
% 72.03/10.67    (15)   ~ (e4 = e2)
% 72.03/10.67    (16)   ~ (all_4_19 = e0)
% 72.03/10.67    (17)  all_10_19 = all_4_23
% 72.03/10.67    (18)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.03/10.67    (19)   ~ (e4 = e3)
% 72.03/10.67    (20)  all_10_22 = e0
% 72.03/10.67    (21)  all_8_19 = all_4_23
% 72.03/10.67    (22)  all_6_21 = all_4_9
% 72.03/10.67    (23)   ~ (all_4_9 = e4)
% 72.03/10.67    (24)  all_10_10 = all_4_2
% 72.03/10.67    (25)   ~ (all_4_9 = e0)
% 72.03/10.67    (26)  all_10_18 = e0
% 72.03/10.67    (27)   ~ (e4 = e1)
% 72.03/10.67  
% 72.03/10.67  Begin of proof
% 72.03/10.67  | 
% 72.03/10.67  | BETA: splitting (9) gives:
% 72.03/10.67  | 
% 72.03/10.67  | Case 1:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (28)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.03/10.67  | |             (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.03/10.67  | |             (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 72.03/10.67  | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 72.03/10.67  | |             (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~
% 72.03/10.67  | |             (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit =
% 72.03/10.67  | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 72.03/10.67  | |                 e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.03/10.67  | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit =
% 72.03/10.67  | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.03/10.67  | |             (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.67  | |             (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.67  | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.67  | |             (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.03/10.67  | |             (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.03/10.67  | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.03/10.67  | |             (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.03/10.67  | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.03/10.67  | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.03/10.67  | |             (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 72.03/10.67  | |                 = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit
% 72.03/10.67  | |                 = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 72.03/10.67  | |                 = e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit
% 72.03/10.67  | |                 = e4)))) | (( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit
% 72.03/10.67  | |                 = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~
% 72.03/10.67  | |             (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.03/10.67  | |             (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 72.03/10.67  | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |
% 72.03/10.67  | |             (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.03/10.67  | |             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~
% 72.03/10.67  | |             (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 72.03/10.67  | |                 = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit
% 72.03/10.67  | |                 = e3))) & ( ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 72.03/10.67  | |                 = e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit
% 72.03/10.67  | |                 = e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 72.03/10.67  | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 72.03/10.67  | |             (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 72.03/10.67  | |             (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.03/10.67  | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 72.03/10.67  | |             (all_10_21 = e0 &  ~ (unit = e3))))
% 72.03/10.67  | | 
% 72.03/10.67  | | REF_CLOSE: (1), (3), (8), (13), (14), (24), (28) are inconsistent by
% 72.03/10.67  | |            sub-proof #63.
% 72.03/10.67  | | 
% 72.03/10.67  | Case 2:
% 72.03/10.67  | | 
% 72.03/10.67  | |   (29)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | |             (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | |             (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 72.03/10.67  | |             (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.03/10.67  | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.03/10.67  | |             (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.03/10.67  | |             (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 72.03/10.67  | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 72.03/10.67  | |                 e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 72.03/10.67  | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.03/10.67  | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.03/10.67  | |                 e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 72.03/10.67  | |             (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | |             (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 72.03/10.67  | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 72.03/10.67  | |             (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.03/10.67  | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 72.03/10.67  | |             (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 72.03/10.67  | |             (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 72.03/10.67  | |                 = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit
% 72.03/10.67  | |                 = e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit
% 72.03/10.67  | |                 = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 72.03/10.67  | |                 e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit =
% 72.03/10.67  | |                 e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.67  | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) |
% 72.03/10.67  | |             (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.03/10.67  | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.03/10.67  | |             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.03/10.67  | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~
% 72.03/10.67  | |             (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 72.03/10.67  | |                 = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit
% 72.03/10.67  | |                 = e1))) & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 72.03/10.67  | |                 = e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit
% 72.03/10.67  | |                 = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.67  | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.67  | |             (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.03/10.67  | |             (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.03/10.67  | |             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 72.03/10.67  | |             (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.03/10.67  | |             (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.03/10.67  | |             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~
% 72.03/10.67  | |             (unit = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 72.03/10.67  | |                 e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit =
% 72.03/10.67  | |                 e0))) & ( ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 72.03/10.67  | |                 e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 72.03/10.67  | |                 e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.67  | |             (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.67  | |             (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.67  | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.67  | |             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.67  | |             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.03/10.67  | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.03/10.67  | |             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.03/10.67  | |             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.03/10.67  | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~
% 72.03/10.67  | |             (unit = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 72.03/10.67  | |                 = e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 72.03/10.67  | |                 = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 72.03/10.67  | |                 = e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 72.03/10.67  | |                 = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 72.03/10.67  | | 
% 72.03/10.67  | | BETA: splitting (29) gives:
% 72.03/10.67  | | 
% 72.03/10.67  | | Case 1:
% 72.03/10.67  | | | 
% 72.03/10.67  | | |   (30)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | | |           (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | | |           (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 72.03/10.67  | | |           (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.03/10.67  | | |           (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.03/10.67  | | |           (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.03/10.67  | | |           (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 72.03/10.67  | | |           (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 72.03/10.67  | | |               e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 72.03/10.67  | | |               e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.03/10.67  | | |               e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.03/10.67  | | |               e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 72.03/10.67  | | |           (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | | |           (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | | |           (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | | |           (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.67  | | |           (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 72.03/10.67  | | |           (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 72.03/10.67  | | |           (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.03/10.67  | | |           (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) |
% 72.03/10.67  | | |           (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 72.03/10.67  | | |           (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 72.03/10.67  | | |               = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit
% 72.03/10.67  | | |               = e2)))
% 72.03/10.67  | | | 
% 72.03/10.67  | | | REF_CLOSE: (7), (8), (12), (14), (20), (22), (23), (25), (30) are
% 72.03/10.67  | | |            inconsistent by sub-proof #78.
% 72.03/10.67  | | | 
% 72.03/10.67  | | Case 2:
% 72.03/10.67  | | | 
% 72.03/10.68  | | |   (31)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 72.03/10.68  | | |             (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 72.03/10.68  | | |             (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.03/10.68  | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 72.03/10.68  | | |             (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 72.03/10.68  | | |             (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit
% 72.03/10.68  | | |                 = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~
% 72.03/10.68  | | |               (unit = e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~
% 72.03/10.68  | | |               (unit = e1))) & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~
% 72.03/10.68  | | |               (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.68  | | |             (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.03/10.68  | | |             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.03/10.68  | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.03/10.68  | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.03/10.68  | | |             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 72.03/10.68  | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~
% 72.03/10.68  | | |               (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.68  | | |             (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 72.03/10.68  | | |             (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 72.03/10.68  | | |             (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.03/10.68  | | |             (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.03/10.68  | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |  ~
% 72.03/10.68  | | |             (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~
% 72.03/10.68  | | |               (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.68  | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | |             (all_10_24 = e0) |  ~ (unit = e0)))
% 72.03/10.68  | | | 
% 72.03/10.68  | | | BETA: splitting (31) gives:
% 72.03/10.68  | | | 
% 72.03/10.68  | | | Case 1:
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | |   (32)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 72.03/10.68  | | | |           (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 72.03/10.68  | | | |           (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.03/10.68  | | | |           (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 72.03/10.68  | | | |           (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~
% 72.03/10.68  | | | |           (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit
% 72.03/10.68  | | | |               = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~
% 72.03/10.68  | | | |             (unit = e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~
% 72.03/10.68  | | | |             (unit = e1))) & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~
% 72.03/10.68  | | | |             (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.68  | | | |           (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.68  | | | |           (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.03/10.68  | | | |           (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.03/10.68  | | | |           (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.03/10.68  | | | |           (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.03/10.68  | | | |           (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 72.03/10.68  | | | |           (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~
% 72.03/10.68  | | | |             (unit = e1)))
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | REF_CLOSE: (5), (11), (16), (32) are inconsistent by sub-proof #107.
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | Case 2:
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | |   (33)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 72.03/10.68  | | | |           (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.03/10.68  | | | |           (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.03/10.68  | | | |           (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.03/10.68  | | | |           (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 72.03/10.68  | | | |           (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~
% 72.03/10.68  | | | |             (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~
% 72.03/10.68  | | | |             (unit = e0))) & ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~
% 72.03/10.68  | | | |             (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~
% 72.03/10.68  | | | |             (unit = e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.68  | | | |           (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.68  | | | |           (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.03/10.68  | | | |           (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 72.03/10.68  | | | |           (all_10_24 = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.03/10.68  | | | |           (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 72.03/10.68  | | | |           (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 72.03/10.68  | | | |           (unit = e0))
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | ALPHA: (33) implies:
% 72.03/10.68  | | | |   (34)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | REF_CLOSE: (2), (4), (6), (10), (15), (17), (18), (19), (21), (26),
% 72.03/10.68  | | | |            (27), (34) are inconsistent by sub-proof #163.
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | End of split
% 72.03/10.68  | | | 
% 72.03/10.68  | | End of split
% 72.03/10.68  | | 
% 72.03/10.68  | End of split
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #49 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)
% 72.03/10.68    (2)  all_10_12 = e3
% 72.03/10.68    (3)   ~ (e3 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | ALPHA: (1) implies:
% 72.03/10.68  |   (4)  all_10_12 = e0
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (2), (4) imply:
% 72.03/10.68  |   (5)  e3 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #50 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)   ~ (e3 = e0)
% 72.03/10.68    (2)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.03/10.68           & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 72.03/10.68    (3)  all_10_18 = e0
% 72.03/10.68    (4)   ~ (e2 = e0)
% 72.03/10.68    (5)  all_10_12 = e3
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | BETA: splitting (2) gives:
% 72.03/10.68  | 
% 72.03/10.68  | Case 1:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (6)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 72.03/10.68  | | 
% 72.03/10.68  | | ALPHA: (6) implies:
% 72.03/10.68  | |   (7)  all_10_18 = e2
% 72.03/10.68  | | 
% 72.03/10.68  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #53.
% 72.03/10.68  | | 
% 72.03/10.68  | Case 2:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (8)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 72.03/10.68  | | 
% 72.03/10.68  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #51.
% 72.03/10.68  | | 
% 72.03/10.68  | End of split
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #51 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 72.03/10.68    (2)  all_10_12 = e3
% 72.03/10.68    (3)   ~ (e3 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | ALPHA: (1) implies:
% 72.03/10.68  |   (4)  all_10_12 = e0
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (2), (4) imply:
% 72.03/10.68  |   (5)  e3 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #52 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_6 = e4
% 72.03/10.68    (2)   ~ (e4 = e0)
% 72.03/10.68    (3)   ~ (e3 = e0)
% 72.03/10.68    (4)  all_10_18 = e0
% 72.03/10.68    (5)   ~ (e2 = e0)
% 72.03/10.68    (6)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.03/10.68           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 72.03/10.68           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 72.03/10.68             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | BETA: splitting (6) gives:
% 72.03/10.68  | 
% 72.03/10.68  | Case 1:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (7)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 72.03/10.68  | |          e1 & all_10_18 = e3 &  ~ (all_10_16 = e1))
% 72.03/10.68  | | 
% 72.03/10.68  | | BETA: splitting (7) gives:
% 72.03/10.68  | | 
% 72.03/10.68  | | Case 1:
% 72.03/10.68  | | | 
% 72.03/10.68  | | |   (8)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)
% 72.03/10.68  | | | 
% 72.03/10.68  | | | ALPHA: (8) implies:
% 72.03/10.68  | | |   (9)  all_10_18 = e3
% 72.03/10.68  | | | 
% 72.03/10.68  | | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #56.
% 72.03/10.68  | | | 
% 72.03/10.68  | | Case 2:
% 72.03/10.68  | | | 
% 72.03/10.68  | | |   (10)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)
% 72.03/10.68  | | | 
% 72.03/10.68  | | | ALPHA: (10) implies:
% 72.03/10.68  | | |   (11)  all_10_18 = e3
% 72.03/10.68  | | | 
% 72.03/10.68  | | | REF_CLOSE: (3), (4), (11) are inconsistent by sub-proof #56.
% 72.03/10.68  | | | 
% 72.03/10.68  | | End of split
% 72.03/10.68  | | 
% 72.03/10.68  | Case 2:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (12)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 =
% 72.03/10.68  | |           e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 72.03/10.68  | |           all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.03/10.68  | | 
% 72.03/10.68  | | BETA: splitting (12) gives:
% 72.03/10.68  | | 
% 72.03/10.68  | | Case 1:
% 72.03/10.68  | | | 
% 72.03/10.68  | | |   (13)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 72.03/10.68  | | | 
% 72.03/10.68  | | | REF_CLOSE: (1), (2), (13) are inconsistent by sub-proof #55.
% 72.03/10.68  | | | 
% 72.03/10.68  | | Case 2:
% 72.03/10.68  | | | 
% 72.03/10.68  | | |   (14)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 72.03/10.68  | | |         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.03/10.68  | | | 
% 72.03/10.68  | | | BETA: splitting (14) gives:
% 72.03/10.68  | | | 
% 72.03/10.68  | | | Case 1:
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | |   (15)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | REF_CLOSE: (1), (2), (15) are inconsistent by sub-proof #54.
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | Case 2:
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | |   (16)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | ALPHA: (16) implies:
% 72.03/10.68  | | | |   (17)  all_10_18 = e2
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | REF_CLOSE: (4), (5), (17) are inconsistent by sub-proof #53.
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | End of split
% 72.03/10.68  | | | 
% 72.03/10.68  | | End of split
% 72.03/10.68  | | 
% 72.03/10.68  | End of split
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #53 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_18 = e2
% 72.03/10.68    (2)  all_10_18 = e0
% 72.03/10.68    (3)   ~ (e2 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (1), (2) imply:
% 72.03/10.68  |   (4)  e2 = e0
% 72.03/10.68  | 
% 72.03/10.68  | SIMP: (4) implies:
% 72.03/10.68  |   (5)  e2 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #54 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 72.03/10.68    (2)  all_10_6 = e4
% 72.03/10.68    (3)   ~ (e4 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | ALPHA: (1) implies:
% 72.03/10.68  |   (4)  all_10_6 = e0
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (2), (4) imply:
% 72.03/10.68  |   (5)  e4 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #55 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 72.03/10.68    (2)  all_10_6 = e4
% 72.03/10.68    (3)   ~ (e4 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | ALPHA: (1) implies:
% 72.03/10.68  |   (4)  all_10_6 = e0
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (2), (4) imply:
% 72.03/10.68  |   (5)  e4 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #56 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_18 = e3
% 72.03/10.68    (2)  all_10_18 = e0
% 72.03/10.68    (3)   ~ (e3 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (1), (2) imply:
% 72.03/10.68  |   (4)  e3 = e0
% 72.03/10.68  | 
% 72.03/10.68  | SIMP: (4) implies:
% 72.03/10.68  |   (5)  e3 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #57 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 72.03/10.68           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.03/10.68    (2)  all_10_6 = e4
% 72.03/10.68    (3)   ~ (e4 = e2)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | BETA: splitting (1) gives:
% 72.03/10.68  | 
% 72.03/10.68  | Case 1:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (4)  all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)
% 72.03/10.68  | | 
% 72.03/10.68  | | ALPHA: (4) implies:
% 72.03/10.68  | |   (5)  all_10_6 = e2
% 72.03/10.68  | | 
% 72.03/10.68  | | COMBINE_EQS: (2), (5) imply:
% 72.03/10.68  | |   (6)  e4 = e2
% 72.03/10.68  | | 
% 72.03/10.68  | | REDUCE: (3), (6) imply:
% 72.03/10.68  | |   (7)  $false
% 72.03/10.68  | | 
% 72.03/10.68  | | CLOSE: (7) is inconsistent.
% 72.03/10.68  | | 
% 72.03/10.68  | Case 2:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (8)  all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2)
% 72.03/10.68  | | 
% 72.03/10.68  | | ALPHA: (8) implies:
% 72.03/10.68  | |   (9)  all_10_6 = e2
% 72.03/10.68  | | 
% 72.03/10.68  | | COMBINE_EQS: (2), (9) imply:
% 72.03/10.68  | |   (10)  e4 = e2
% 72.03/10.68  | | 
% 72.03/10.68  | | REDUCE: (3), (10) imply:
% 72.03/10.68  | |   (11)  $false
% 72.03/10.68  | | 
% 72.03/10.68  | | CLOSE: (11) is inconsistent.
% 72.03/10.68  | | 
% 72.03/10.68  | End of split
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #58 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)   ~ (all_4_0 = e3)
% 72.03/10.68    (2)   ~ (e4 = e0)
% 72.03/10.68    (3)  all_10_0 = all_4_0
% 72.03/10.68    (4)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.03/10.68           all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4 &
% 72.03/10.68            ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 72.03/10.68             e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.03/10.68    (5)   ~ (e4 = e3)
% 72.03/10.68    (6)  all_10_18 = e0
% 72.03/10.68    (7)  all_10_12 = e3
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | BETA: splitting (4) gives:
% 72.03/10.68  | 
% 72.03/10.68  | Case 1:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (8)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3
% 72.03/10.68  | |          & all_10_6 = e4 &  ~ (all_10_5 = e3))
% 72.03/10.68  | | 
% 72.03/10.68  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #181.
% 72.03/10.68  | | 
% 72.03/10.68  | Case 2:
% 72.03/10.68  | | 
% 72.03/10.68  | |   (9)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 =
% 72.03/10.68  | |          e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 &
% 72.03/10.68  | |          all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.03/10.68  | | 
% 72.03/10.68  | | BETA: splitting (9) gives:
% 72.03/10.68  | | 
% 72.03/10.68  | | Case 1:
% 72.03/10.68  | | | 
% 72.03/10.68  | | |   (10)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)
% 72.03/10.68  | | | 
% 72.03/10.68  | | | ALPHA: (10) implies:
% 72.03/10.68  | | |   (11)  all_10_12 = e4
% 72.03/10.68  | | | 
% 72.03/10.68  | | | REF_CLOSE: (5), (7), (11) are inconsistent by sub-proof #60.
% 72.03/10.68  | | | 
% 72.03/10.68  | | Case 2:
% 72.03/10.68  | | | 
% 72.03/10.68  | | |   (12)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0
% 72.03/10.68  | | |           = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.03/10.68  | | | 
% 72.03/10.68  | | | BETA: splitting (12) gives:
% 72.03/10.68  | | | 
% 72.03/10.68  | | | Case 1:
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | |   (13)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | ALPHA: (13) implies:
% 72.03/10.68  | | | |   (14)  all_10_12 = e4
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | REF_CLOSE: (5), (7), (14) are inconsistent by sub-proof #60.
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | Case 2:
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | |   (15)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | ALPHA: (15) implies:
% 72.03/10.68  | | | |   (16)  all_10_18 = e4
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | | REF_CLOSE: (2), (6), (16) are inconsistent by sub-proof #59.
% 72.03/10.68  | | | | 
% 72.03/10.68  | | | End of split
% 72.03/10.68  | | | 
% 72.03/10.68  | | End of split
% 72.03/10.68  | | 
% 72.03/10.68  | End of split
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #59 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_18 = e4
% 72.03/10.68    (2)  all_10_18 = e0
% 72.03/10.68    (3)   ~ (e4 = e0)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (1), (2) imply:
% 72.03/10.68  |   (4)  e4 = e0
% 72.03/10.68  | 
% 72.03/10.68  | SIMP: (4) implies:
% 72.03/10.68  |   (5)  e4 = e0
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #60 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_10_12 = e4
% 72.03/10.68    (2)  all_10_12 = e3
% 72.03/10.68    (3)   ~ (e4 = e3)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (1), (2) imply:
% 72.03/10.68  |   (4)  e4 = e3
% 72.03/10.68  | 
% 72.03/10.68  | SIMP: (4) implies:
% 72.03/10.68  |   (5)  e4 = e3
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #61 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_8_6 = all_4_2
% 72.03/10.68    (2)  all_8_6 = e4
% 72.03/10.68    (3)   ~ (all_4_2 = e4)
% 72.03/10.68  
% 72.03/10.68  Begin of proof
% 72.03/10.68  | 
% 72.03/10.68  | COMBINE_EQS: (1), (2) imply:
% 72.03/10.68  |   (4)  all_4_2 = e4
% 72.03/10.68  | 
% 72.03/10.68  | SIMP: (4) implies:
% 72.03/10.68  |   (5)  all_4_2 = e4
% 72.03/10.68  | 
% 72.03/10.68  | REDUCE: (3), (5) imply:
% 72.03/10.68  |   (6)  $false
% 72.03/10.68  | 
% 72.03/10.68  | CLOSE: (6) is inconsistent.
% 72.03/10.68  | 
% 72.03/10.68  End of proof
% 72.03/10.68  
% 72.03/10.68  Sub-proof #62 shows that the following formulas are inconsistent:
% 72.03/10.68  ----------------------------------------------------------------
% 72.03/10.68    (1)  all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0
% 72.03/10.68    (2)  all_6_2 = all_4_10
% 72.03/10.68    (3)   ~ (all_4_3 = e4)
% 72.03/10.68    (4)   ~ (all_4_3 = all_4_13)
% 72.03/10.68    (5)  all_8_4 = all_4_10
% 72.03/10.68    (6)  all_8_14 = all_4_13
% 72.03/10.68    (7)   ~ (all_4_23 = all_4_24)
% 72.03/10.68    (8)   ~ (all_4_13 = e1)
% 72.03/10.68    (9)   ~ (all_4_10 = e3)
% 72.03/10.68    (10)  all_8_13 = e3
% 72.03/10.68    (11)  all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 | all_8_24
% 72.03/10.68          = e4
% 72.03/10.68    (12)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19
% 72.03/10.68          = e4
% 72.03/10.68    (13)  all_10_23 = e3
% 72.03/10.68    (14)  all_8_23 = e3
% 72.03/10.68    (15)  all_10_24 = all_4_24
% 72.03/10.68    (16)  all_10_24 = e1
% 72.03/10.68    (17)  all_8_3 = e4
% 72.03/10.68    (18)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 72.03/10.68    (19)  all_10_21 = all_4_9
% 72.03/10.68    (20)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 72.03/10.68          = e1
% 72.03/10.68    (21)  all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 72.03/10.69    (22)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.03/10.69                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.03/10.69                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.03/10.69                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.03/10.69                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.03/10.69                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.03/10.69              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.03/10.69                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.03/10.69                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.03/10.69              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.03/10.69              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.69              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.69              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.03/10.69              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.03/10.69              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.03/10.69              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.03/10.69              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.03/10.69              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.03/10.69                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.03/10.69            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.03/10.69              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.03/10.69              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.03/10.69              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.03/10.69                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.03/10.69                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.03/10.69                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.03/10.69                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.03/10.69            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.03/10.69              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.03/10.69                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.03/10.69                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.03/10.69                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.03/10.69              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.03/10.69              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.69              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.03/10.69              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.03/10.69              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.03/10.69              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.03/10.69              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.03/10.69              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.03/10.69              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.03/10.69                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.03/10.69            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.03/10.69              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.03/10.69              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.03/10.69                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.03/10.69              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.03/10.69                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.03/10.69            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.69              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.03/10.69                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.03/10.69                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.03/10.69                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.03/10.69                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.03/10.69                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.03/10.69                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.03/10.69              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.03/10.69              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.03/10.69              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.03/10.69                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.03/10.69            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.03/10.69              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.03/10.69              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.03/10.69              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.03/10.69              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.03/10.69              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.03/10.69              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.03/10.69                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.03/10.69                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.03/10.69              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.03/10.69                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.03/10.69              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.03/10.69                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.03/10.69            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.03/10.69              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.03/10.69              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.03/10.69              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.03/10.69              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.03/10.69                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.03/10.69            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.03/10.69              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.03/10.69              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.03/10.69              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.03/10.69                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.03/10.69                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.03/10.69                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.03/10.69                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.03/10.69              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.03/10.69                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.03/10.69                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.03/10.69              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.03/10.69              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.03/10.69              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.03/10.69              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.03/10.69              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.03/10.69                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.03/10.69            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.03/10.69              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.03/10.69    (23)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.03/10.69          e2
% 72.03/10.69    (24)  all_8_15 = e0
% 72.03/10.69    (25)  all_10_23 = all_4_19
% 72.03/10.69    (26)   ~ (all_4_2 = all_4_3)
% 72.03/10.69    (27)   ~ (all_4_3 = e3)
% 72.03/10.69    (28)   ~ (all_4_4 = e4)
% 72.03/10.69    (29)  all_10_13 = e4
% 72.03/10.69    (30)  all_8_22 = all_4_14
% 72.03/10.69    (31)  all_8_20 = all_4_4
% 72.03/10.69    (32)   ~ (all_4_10 = all_4_14)
% 72.03/10.69    (33)   ~ (all_4_14 = e3)
% 72.03/10.69    (34)   ~ (e4 = e2)
% 72.03/10.69    (35)   ~ (all_4_19 = e0)
% 72.03/10.69    (36)  all_10_22 = all_4_14
% 72.03/10.69    (37)  all_10_19 = all_4_23
% 72.03/10.69    (38)   ~ (all_4_24 = e3)
% 72.03/10.69    (39)   ~ (all_4_9 = all_4_24)
% 72.03/10.69    (40)   ~ (e4 = e3)
% 72.03/10.69    (41)  all_8_1 = all_4_5
% 72.03/10.69    (42)   ~ (e3 = e2)
% 72.03/10.69    (43)  all_8_19 = all_4_23
% 72.03/10.69    (44)   ~ (all_4_10 = e1)
% 72.03/10.69    (45)  all_8_24 = all_4_24
% 72.03/10.69    (46)   ~ (all_4_9 = e4)
% 72.03/10.69    (47)   ~ (all_4_13 = all_4_14)
% 72.03/10.69    (48)  all_8_12 = all_4_3
% 72.03/10.69    (49)   ~ (e2 = e1)
% 72.03/10.69    (50)  all_10_2 = all_4_10
% 72.03/10.69    (51)  all_10_10 = all_4_2
% 72.03/10.69    (52)   ~ (all_4_10 = all_4_13)
% 72.03/10.69    (53)  all_10_18 = e0
% 72.03/10.69    (54)  all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22 =
% 72.03/10.69          e0
% 72.03/10.69    (55)   ~ (e4 = e1)
% 72.03/10.69    (56)   ~ (all_4_13 = e0)
% 72.03/10.69    (57)  all_6_17 = all_4_13
% 72.03/10.69    (58)  all_10_1 = all_4_5
% 72.03/10.69    (59)  all_8_21 = all_4_9
% 72.03/10.69  
% 72.03/10.69  Begin of proof
% 72.03/10.69  | 
% 72.03/10.69  | COMBINE_EQS: (15), (16) imply:
% 72.03/10.69  |   (60)  all_4_24 = e1
% 72.03/10.69  | 
% 72.03/10.69  | SIMP: (60) implies:
% 72.03/10.69  |   (61)  all_4_24 = e1
% 72.03/10.69  | 
% 72.03/10.69  | COMBINE_EQS: (45), (61) imply:
% 72.03/10.69  |   (62)  all_8_24 = e1
% 72.03/10.69  | 
% 72.03/10.69  | REDUCE: (39), (61) imply:
% 72.03/10.69  |   (63)   ~ (all_4_9 = e1)
% 72.03/10.69  | 
% 72.03/10.69  | REDUCE: (7), (61) imply:
% 72.03/10.69  |   (64)   ~ (all_4_23 = e1)
% 72.03/10.69  | 
% 72.03/10.69  | REDUCE: (38), (61) imply:
% 72.03/10.69  |   (65)   ~ (e3 = e1)
% 72.03/10.69  | 
% 72.03/10.69  | SIMP: (65) implies:
% 72.03/10.69  |   (66)   ~ (e3 = e1)
% 72.03/10.69  | 
% 72.03/10.69  | BETA: splitting (11) gives:
% 72.03/10.69  | 
% 72.03/10.69  | Case 1:
% 72.03/10.69  | | 
% 72.03/10.69  | |   (67)  all_8_20 = e4
% 72.03/10.69  | | 
% 72.03/10.69  | | REF_CLOSE: (28), (31), (67) are inconsistent by sub-proof #88.
% 72.03/10.69  | | 
% 72.03/10.69  | Case 2:
% 72.03/10.69  | | 
% 72.03/10.69  | |   (68)  all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 | all_8_24 = e4
% 72.03/10.69  | | 
% 72.03/10.69  | | BETA: splitting (68) gives:
% 72.03/10.69  | | 
% 72.03/10.69  | | Case 1:
% 72.03/10.69  | | | 
% 72.03/10.69  | | |   (69)  all_8_21 = e4
% 72.03/10.69  | | | 
% 72.03/10.69  | | | REF_CLOSE: (46), (59), (69) are inconsistent by sub-proof #87.
% 72.03/10.69  | | | 
% 72.03/10.69  | | Case 2:
% 72.03/10.69  | | | 
% 72.03/10.69  | | |   (70)  all_8_22 = e4 | all_8_23 = e4 | all_8_24 = e4
% 72.03/10.69  | | | 
% 72.03/10.69  | | | BETA: splitting (70) gives:
% 72.03/10.69  | | | 
% 72.03/10.69  | | | Case 1:
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | |   (71)  all_8_22 = e4
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | COMBINE_EQS: (30), (71) imply:
% 72.03/10.69  | | | |   (72)  all_4_14 = e4
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | SIMP: (72) implies:
% 72.03/10.69  | | | |   (73)  all_4_14 = e4
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | COMBINE_EQS: (36), (73) imply:
% 72.03/10.69  | | | |   (74)  all_10_22 = e4
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | REDUCE: (32), (73) imply:
% 72.03/10.69  | | | |   (75)   ~ (all_4_10 = e4)
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | REDUCE: (47), (73) imply:
% 72.03/10.69  | | | |   (76)   ~ (all_4_13 = e4)
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | BETA: splitting (54) gives:
% 72.03/10.69  | | | | 
% 72.03/10.69  | | | | Case 1:
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | |   (77)  all_8_4 = e0
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | COMBINE_EQS: (5), (77) imply:
% 72.03/10.69  | | | | |   (78)  all_4_10 = e0
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | SIMP: (78) implies:
% 72.03/10.69  | | | | |   (79)  all_4_10 = e0
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | COMBINE_EQS: (50), (79) imply:
% 72.03/10.69  | | | | |   (80)  all_10_2 = e0
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | REDUCE: (52), (79) imply:
% 72.03/10.69  | | | | |   (81)   ~ (all_4_13 = e0)
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | REDUCE: (75), (79) imply:
% 72.03/10.69  | | | | |   (82)   ~ (e4 = e0)
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | SIMP: (82) implies:
% 72.03/10.69  | | | | |   (83)   ~ (e4 = e0)
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | REDUCE: (9), (79) imply:
% 72.03/10.69  | | | | |   (84)   ~ (e3 = e0)
% 72.03/10.69  | | | | | 
% 72.03/10.69  | | | | | SIMP: (84) implies:
% 72.03/10.69  | | | | |   (85)   ~ (e3 = e0)
% 72.24/10.69  | | | | | 
% 72.24/10.69  | | | | | REDUCE: (44), (79) imply:
% 72.24/10.69  | | | | |   (86)   ~ (e1 = e0)
% 72.24/10.69  | | | | | 
% 72.24/10.69  | | | | | SIMP: (86) implies:
% 72.24/10.69  | | | | |   (87)   ~ (e1 = e0)
% 72.24/10.69  | | | | | 
% 72.24/10.69  | | | | | BETA: splitting (20) gives:
% 72.24/10.69  | | | | | 
% 72.24/10.69  | | | | | Case 1:
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | |   (88)  all_8_12 = e1
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | COMBINE_EQS: (48), (88) imply:
% 72.24/10.69  | | | | | |   (89)  all_4_3 = e1
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | SIMP: (89) implies:
% 72.24/10.69  | | | | | |   (90)  all_4_3 = e1
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | REDUCE: (26), (90) imply:
% 72.24/10.69  | | | | | |   (91)   ~ (all_4_2 = e1)
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | REDUCE: (4), (90) imply:
% 72.24/10.69  | | | | | |   (92)   ~ (all_4_13 = e1)
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | REDUCE: (3), (90) imply:
% 72.24/10.69  | | | | | |   (93)   ~ (e4 = e1)
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | BETA: splitting (22) gives:
% 72.24/10.69  | | | | | | 
% 72.24/10.69  | | | | | | Case 1:
% 72.24/10.69  | | | | | | | 
% 72.24/10.69  | | | | | | |   (94)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 =
% 72.24/10.69  | | | | | | |               e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 72.24/10.69  | | | | | | |             (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4))) &
% 72.24/10.69  | | | | | | |           ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4)))
% 72.24/10.69  | | | | | | |           & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.24/10.69  | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & (
% 72.24/10.69  | | | | | | |             ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4)))
% 72.24/10.69  | | | | | | |           & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit =
% 72.24/10.69  | | | | | | |                 e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~
% 72.24/10.69  | | | | | | |               (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 72.24/10.70  | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit
% 72.24/10.70  | | | | | | |               = e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~
% 72.24/10.70  | | | | | | |               (unit = e4))) & ( ~ (all_10_12 = e4) | (all_10_10 =
% 72.24/10.70  | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.24/10.70  | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 =
% 72.24/10.70  | | | | | | |               e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 =
% 72.24/10.70  | | | | | | |               e4) | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit =
% 72.24/10.70  | | | | | | |               e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~
% 72.24/10.70  | | | | | | |               (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 72.24/10.70  | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.24/10.70  | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 =
% 72.24/10.70  | | | | | | |               e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.24/10.70  | | | | | | |             (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 =
% 72.24/10.70  | | | | | | |               e3) | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit = e3)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & (
% 72.24/10.70  | | | | | | |             ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~
% 72.24/10.70  | | | | | | |               (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 72.24/10.70  | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~
% 72.24/10.70  | | | | | | |             (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2
% 72.24/10.70  | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 72.24/10.70  | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 =
% 72.24/10.70  | | | | | | |               e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e3))) & ( ~ (all_10_20 = e3) | (all_10_21
% 72.24/10.70  | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 72.24/10.70  | | | | | | |             (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 72.24/10.70  | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.24/10.70  | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 =
% 72.24/10.70  | | | | | | |               e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 72.24/10.70  | | | | | | | 
% 72.24/10.70  | | | | | | | REF_CLOSE: (13), (19), (29), (51), (63), (91), (94) are
% 72.24/10.70  | | | | | | |            inconsistent by sub-proof #63.
% 72.24/10.70  | | | | | | | 
% 72.24/10.70  | | | | | | Case 2:
% 72.24/10.70  | | | | | | | 
% 72.24/10.70  | | | | | | |   (95)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3
% 72.24/10.70  | | | | | | |               = e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e2))) & ( ~ (all_10_7 = e2) |  ~ (unit = e2)) & (
% 72.24/10.70  | | | | | | |             ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12
% 72.24/10.70  | | | | | | |               = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~
% 72.24/10.70  | | | | | | |             (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1
% 72.24/10.70  | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 72.24/10.70  | | | | | | |             (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 =
% 72.24/10.70  | | | | | | |               e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22
% 72.24/10.70  | | | | | | |               = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 72.24/10.70  | | | | | | |             (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 72.24/10.70  | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.24/10.70  | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 =
% 72.24/10.70  | | | | | | |               e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4
% 72.24/10.70  | | | | | | |               = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & (
% 72.24/10.70  | | | | | | |             ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_12 = e1) | (all_10_13
% 72.24/10.70  | | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~
% 72.24/10.70  | | | | | | |             (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0
% 72.24/10.70  | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.24/10.70  | | | | | | |             (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 =
% 72.24/10.70  | | | | | | |               e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23
% 72.24/10.70  | | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 72.24/10.70  | | | | | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 72.24/10.70  | | | | | | |               &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.24/10.70  | | | | | | |             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 =
% 72.24/10.70  | | | | | | |               e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.24/10.70  | | | | | | |               = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) &
% 72.24/10.70  | | | | | | |           ( ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & (
% 72.24/10.70  | | | | | | |             ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_12 = e0) | (all_10_14
% 72.24/10.70  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.24/10.70  | | | | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 =
% 72.24/10.70  | | | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.24/10.70  | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 =
% 72.24/10.70  | | | | | | |               e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | |             (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit = e0)))
% 72.24/10.70  | | | | | | |           & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0)) & (
% 72.24/10.70  | | | | | | |             ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 & 
% 72.24/10.70  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24
% 72.24/10.70  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 72.24/10.70  | | | | | | |             (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 =
% 72.24/10.70  | | | | | | |               e0) |  ~ (unit = e0)))
% 72.24/10.70  | | | | | | | 
% 72.24/10.70  | | | | | | | BETA: splitting (95) gives:
% 72.24/10.70  | | | | | | | 
% 72.24/10.70  | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | |   (96)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | | |         & ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | | |               e2))) & ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & (
% 72.24/10.70  | | | | | | | |           ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | | |         & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 72.24/10.70  | | | | | | | |               e2))) & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~
% 72.24/10.70  | | | | | | | |             (unit = e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 72.24/10.70  | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~ (unit
% 72.24/10.70  | | | | | | | |             = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 72.24/10.70  | | | | | | | |             (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0
% 72.24/10.70  | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 72.24/10.70  | | | | | | | |           (all_10_12 = e4 &  ~ (unit = e2))) & ( ~ (all_10_11 =
% 72.24/10.70  | | | | | | | |             e2) | (all_10_12 = e3 &  ~ (unit = e2))) & ( ~
% 72.24/10.70  | | | | | | | |           (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13 =
% 72.24/10.70  | | | | | | | |             e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 72.24/10.70  | | | | | | | |           (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | | |         & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | |               e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 & 
% 72.24/10.70  | | | | | | | |             ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 72.24/10.70  | | | | | | | |             e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~
% 72.24/10.70  | | | | | | | |             (unit = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 72.24/10.70  | | | | | | | |             e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.24/10.70  | | | | | | | |           (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 =
% 72.24/10.70  | | | | | | | |             e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.24/10.70  | | | | | | | |           (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 =
% 72.24/10.70  | | | | | | | |             e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 72.24/10.70  | | | | | | | |           (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit = e2)))
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | | ALPHA: (96) implies:
% 72.24/10.70  | | | | | | | |   (97)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))
% 72.24/10.70  | | | | | | | |   (98)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | | BETA: splitting (18) gives:
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | |   (99)  all_8_3 = e1
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | REF_CLOSE: (17), (55), (99) are inconsistent by sub-proof
% 72.24/10.70  | | | | | | | | |            #259.
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | |   (100)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | BETA: splitting (100) gives:
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | |   (101)  all_8_7 = e1
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | BETA: splitting (97) gives:
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | |   (102)   ~ (all_10_21 = e2)
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | REDUCE: (19), (102) imply:
% 72.24/10.70  | | | | | | | | | | |   (103)   ~ (all_4_9 = e2)
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | BETA: splitting (23) gives:
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | |   (104)  all_8_1 = e2
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | | COMBINE_EQS: (41), (104) imply:
% 72.24/10.70  | | | | | | | | | | | |   (105)  all_4_5 = e2
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | | SIMP: (105) implies:
% 72.24/10.70  | | | | | | | | | | | |   (106)  all_4_5 = e2
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | | COMBINE_EQS: (58), (106) imply:
% 72.24/10.70  | | | | | | | | | | | |   (107)  all_10_1 = e2
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | | REF_CLOSE: (80), (85), (98), (107) are inconsistent by
% 72.24/10.70  | | | | | | | | | | | |            sub-proof #251.
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | |   (108)  all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 72.24/10.70  | | | | | | | | | | | |          all_8_21 = e2
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | | REF_CLOSE: (10), (17), (34), (42), (49), (59), (101), (103),
% 72.24/10.70  | | | | | | | | | | | |            (108) are inconsistent by sub-proof #85.
% 72.24/10.70  | | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | End of split
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | |   (109)  all_10_22 = e3 &  ~ (unit = e2)
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | ALPHA: (109) implies:
% 72.24/10.70  | | | | | | | | | | |   (110)  all_10_22 = e3
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | COMBINE_EQS: (74), (110) imply:
% 72.24/10.70  | | | | | | | | | | |   (111)  e4 = e3
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | SIMP: (111) implies:
% 72.24/10.70  | | | | | | | | | | |   (112)  e4 = e3
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | REDUCE: (40), (112) imply:
% 72.24/10.70  | | | | | | | | | | |   (113)  $false
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | CLOSE: (113) is inconsistent.
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | End of split
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | |   (114)  all_8_13 = e1 | all_8_21 = e1
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | BETA: splitting (114) gives:
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | |   (115)  all_8_13 = e1
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | REF_CLOSE: (10), (66), (115) are inconsistent by sub-proof
% 72.24/10.70  | | | | | | | | | | |            #242.
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | |   (116)  all_8_21 = e1
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | COMBINE_EQS: (59), (116) imply:
% 72.24/10.70  | | | | | | | | | | |   (117)  all_4_9 = e1
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | SIMP: (117) implies:
% 72.24/10.70  | | | | | | | | | | |   (118)  all_4_9 = e1
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | REDUCE: (63), (118) imply:
% 72.24/10.70  | | | | | | | | | | |   (119)  $false
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | | CLOSE: (119) is inconsistent.
% 72.24/10.70  | | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | | End of split
% 72.24/10.70  | | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | End of split
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | End of split
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | |   (120)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 & 
% 72.24/10.70  | | | | | | | |                ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3
% 72.24/10.70  | | | | | | | |                = e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) | 
% 72.24/10.70  | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_4 = e1) | (all_10_3 =
% 72.24/10.70  | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 72.24/10.70  | | | | | | | |              (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 =
% 72.24/10.70  | | | | | | | |                e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | | |            & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | | |            & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3
% 72.24/10.70  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.24/10.70  | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13
% 72.24/10.70  | | | | | | | |                = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.24/10.70  | | | | | | | |              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15
% 72.24/10.70  | | | | | | | |                = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2
% 72.24/10.70  | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~
% 72.24/10.70  | | | | | | | |              (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 =
% 72.24/10.70  | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.24/10.70  | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21
% 72.24/10.70  | | | | | | | |                = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1))
% 72.24/10.70  | | | | | | | |            & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4
% 72.24/10.70  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 72.24/10.70  | | | | | | | |              (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 =
% 72.24/10.70  | | | | | | | |                e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0)))
% 72.24/10.70  | | | | | | | |            & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0)))
% 72.24/10.70  | | | | | | | |            & ( ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e0))) & ( ~ (all_10_7 = e0) | (all_10_9 = e2 & 
% 72.24/10.70  | | | | | | | |                ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9
% 72.24/10.70  | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) | 
% 72.24/10.70  | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 72.24/10.70  | | | | | | | |                = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 72.24/10.70  | | | | | | | |              (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12
% 72.24/10.70  | | | | | | | |                = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0))
% 72.24/10.70  | | | | | | | |            & ( ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3
% 72.24/10.70  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.24/10.70  | | | | | | | |              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18
% 72.24/10.70  | | | | | | | |                = e0) | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20
% 72.24/10.70  | | | | | | | |                = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | | |                  e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2
% 72.24/10.70  | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) |
% 72.24/10.70  | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24
% 72.24/10.70  | | | | | | | |                = e0) |  ~ (unit = e0)))
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | | BETA: splitting (120) gives:
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | | Case 1:
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | |   (121)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 & 
% 72.24/10.70  | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3
% 72.24/10.70  | | | | | | | | |              = e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) | 
% 72.24/10.70  | | | | | | | | |            ~ (unit = e1)) & ( ~ (all_10_4 = e1) | (all_10_3 =
% 72.24/10.70  | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 72.24/10.70  | | | | | | | | |            (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 =
% 72.24/10.70  | | | | | | | | |              e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | | | |          & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1)))
% 72.24/10.70  | | | | | | | | |          & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e1))) & ( ~ (all_10_11 = e1) | (all_10_13 = e3
% 72.24/10.70  | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.24/10.70  | | | | | | | | |            (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13
% 72.24/10.70  | | | | | | | | |              = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.24/10.70  | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15
% 72.24/10.70  | | | | | | | | |              = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2
% 72.24/10.70  | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~
% 72.24/10.70  | | | | | | | | |            (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 =
% 72.24/10.70  | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.24/10.70  | | | | | | | | |            (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21
% 72.24/10.70  | | | | | | | | |              = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1))
% 72.24/10.70  | | | | | | | | |          & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e1)))
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | REF_CLOSE: (16), (25), (35), (121) are inconsistent by
% 72.24/10.70  | | | | | | | | |            sub-proof #107.
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | Case 2:
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | |   (122)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 & 
% 72.24/10.70  | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4
% 72.24/10.70  | | | | | | | | |              = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.24/10.70  | | | | | | | | |            (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 =
% 72.24/10.70  | | | | | | | | |              e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 72.24/10.70  | | | | | | | | |            (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 72.24/10.70  | | | | | | | | |              e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0)))
% 72.24/10.70  | | | | | | | | |          & ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) &
% 72.24/10.70  | | | | | | | | |          ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3
% 72.24/10.70  | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.24/10.70  | | | | | | | | |            (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13
% 72.24/10.70  | | | | | | | | |              = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15
% 72.24/10.70  | | | | | | | | |              = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2
% 72.24/10.70  | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.24/10.70  | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19
% 72.24/10.70  | | | | | | | | |              = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.24/10.70  | | | | | | | | |            (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21
% 72.24/10.70  | | | | | | | | |              = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.70  | | | | | | | | |            (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |                e0))) & ( ~ (all_10_23 = e0) | (all_10_24 = e1
% 72.24/10.70  | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 72.24/10.70  | | | | | | | | |            (unit = e0))
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | ALPHA: (122) implies:
% 72.24/10.70  | | | | | | | | |   (123)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit =
% 72.24/10.70  | | | | | | | | |              e0))
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | | REF_CLOSE: (1), (6), (8), (10), (12), (24), (37), (40), (43),
% 72.24/10.70  | | | | | | | | |            (53), (55), (56), (57), (76), (83), (88), (123) are
% 72.24/10.70  | | | | | | | | |            inconsistent by sub-proof #139.
% 72.24/10.70  | | | | | | | | | 
% 72.24/10.70  | | | | | | | | End of split
% 72.24/10.70  | | | | | | | | 
% 72.24/10.70  | | | | | | | End of split
% 72.24/10.70  | | | | | | | 
% 72.24/10.70  | | | | | | End of split
% 72.24/10.70  | | | | | | 
% 72.24/10.70  | | | | | Case 2:
% 72.24/10.70  | | | | | | 
% 72.24/10.70  | | | | | |   (124)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 =
% 72.24/10.70  | | | | | |          e1
% 72.24/10.70  | | | | | | 
% 72.24/10.70  | | | | | | REF_CLOSE: (6), (8), (10), (24), (43), (64), (66), (87), (124) are
% 72.24/10.70  | | | | | |            inconsistent by sub-proof #108.
% 72.24/10.70  | | | | | | 
% 72.24/10.70  | | | | | End of split
% 72.24/10.70  | | | | | 
% 72.24/10.70  | | | | Case 2:
% 72.24/10.70  | | | | | 
% 72.24/10.70  | | | | |   (125)   ~ (all_8_4 = e0)
% 72.24/10.70  | | | | | 
% 72.24/10.70  | | | | | REDUCE: (5), (125) imply:
% 72.24/10.70  | | | | |   (126)   ~ (all_4_10 = e0)
% 72.24/10.70  | | | | | 
% 72.24/10.70  | | | | | BETA: splitting (1) gives:
% 72.24/10.70  | | | | | 
% 72.24/10.70  | | | | | Case 1:
% 72.24/10.70  | | | | | | 
% 72.24/10.71  | | | | | |   (127)  all_6_17 = e2
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | | COMBINE_EQS: (57), (127) imply:
% 72.24/10.71  | | | | | |   (128)  all_4_13 = e2
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | | SIMP: (128) implies:
% 72.24/10.71  | | | | | |   (129)  all_4_13 = e2
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | | REDUCE: (52), (129) imply:
% 72.24/10.71  | | | | | |   (130)   ~ (all_4_10 = e2)
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | | BETA: splitting (21) gives:
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | | Case 1:
% 72.24/10.71  | | | | | | | 
% 72.24/10.71  | | | | | | |   (131)  all_6_2 = e3
% 72.24/10.71  | | | | | | | 
% 72.24/10.71  | | | | | | | REF_CLOSE: (2), (9), (131) are inconsistent by sub-proof #144.
% 72.24/10.71  | | | | | | | 
% 72.24/10.71  | | | | | | Case 2:
% 72.24/10.71  | | | | | | | 
% 72.24/10.71  | | | | | | |   (132)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 72.24/10.71  | | | | | | | 
% 72.24/10.71  | | | | | | | REF_CLOSE: (2), (44), (75), (126), (130), (132) are inconsistent
% 72.24/10.71  | | | | | | |            by sub-proof #125.
% 72.24/10.71  | | | | | | | 
% 72.24/10.71  | | | | | | End of split
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | Case 2:
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | |   (133)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | | REF_CLOSE: (8), (56), (57), (76), (133) are inconsistent by
% 72.24/10.71  | | | | | |            sub-proof #140.
% 72.24/10.71  | | | | | | 
% 72.24/10.71  | | | | | End of split
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | End of split
% 72.24/10.71  | | | | 
% 72.24/10.71  | | | Case 2:
% 72.24/10.71  | | | | 
% 72.24/10.71  | | | |   (134)  all_8_23 = e4 | all_8_24 = e4
% 72.24/10.71  | | | | 
% 72.24/10.71  | | | | BETA: splitting (134) gives:
% 72.24/10.71  | | | | 
% 72.24/10.71  | | | | Case 1:
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | |   (135)  all_8_23 = e4
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | | COMBINE_EQS: (14), (135) imply:
% 72.24/10.71  | | | | |   (136)  e4 = e3
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | | REDUCE: (40), (136) imply:
% 72.24/10.71  | | | | |   (137)  $false
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | | CLOSE: (137) is inconsistent.
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | Case 2:
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | |   (138)  all_8_24 = e4
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | | COMBINE_EQS: (62), (138) imply:
% 72.24/10.71  | | | | |   (139)  e4 = e1
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | | REDUCE: (55), (139) imply:
% 72.24/10.71  | | | | |   (140)  $false
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | | CLOSE: (140) is inconsistent.
% 72.24/10.71  | | | | | 
% 72.24/10.71  | | | | End of split
% 72.24/10.71  | | | | 
% 72.24/10.71  | | | End of split
% 72.24/10.71  | | | 
% 72.24/10.71  | | End of split
% 72.24/10.71  | | 
% 72.24/10.71  | End of split
% 72.24/10.71  | 
% 72.24/10.71  End of proof
% 72.24/10.71  
% 72.24/10.71  Sub-proof #63 shows that the following formulas are inconsistent:
% 72.24/10.71  ----------------------------------------------------------------
% 72.24/10.71    (1)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.24/10.71               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.24/10.71               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.24/10.71                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.24/10.71           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.24/10.71               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.24/10.71               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.24/10.71                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.24/10.71           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.24/10.71             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.24/10.71             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.24/10.71             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.24/10.71             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.24/10.71               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.24/10.71           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.24/10.71             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.24/10.71             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.24/10.71             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.24/10.71             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.24/10.71             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.24/10.71             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.24/10.71             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.24/10.71             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.24/10.71               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.24/10.71             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.24/10.71               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.24/10.71             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.24/10.71               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.24/10.71             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.24/10.71               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.24/10.71             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.24/10.71               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.24/10.71           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.71             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.24/10.71             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.24/10.71             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.24/10.71             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.24/10.71             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.24/10.71             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.24/10.71             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.24/10.71               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.24/10.71           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.71             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 72.24/10.71    (2)   ~ (all_4_2 = e1)
% 72.24/10.71    (3)  all_10_23 = e3
% 72.24/10.71    (4)  all_10_21 = all_4_9
% 72.24/10.71    (5)  all_10_13 = e4
% 72.24/10.71    (6)   ~ (all_4_9 = e1)
% 72.24/10.71    (7)  all_10_10 = all_4_2
% 72.24/10.71  
% 72.24/10.71  Begin of proof
% 72.24/10.71  | 
% 72.24/10.71  | BETA: splitting (1) gives:
% 72.24/10.71  | 
% 72.24/10.71  | Case 1:
% 72.24/10.71  | | 
% 72.24/10.71  | |   (8)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.24/10.71  | |          (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0
% 72.24/10.71  | |            = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 & 
% 72.24/10.71  | |            ~ (unit = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit
% 72.24/10.71  | |              = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 72.24/10.71  | |            = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.24/10.71  | |          (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.24/10.71  | |            = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.24/10.71  | |            ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.24/10.71  | |          (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.24/10.71  | |          (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.24/10.71  | |          (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.24/10.71  | |          (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.24/10.71  | |          (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.24/10.71  | |          (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.24/10.71  | |          (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.24/10.71  | |          (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.24/10.71  | |          (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.24/10.71  | |          (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 72.24/10.71  | |              e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 72.24/10.71  | |              e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 72.24/10.71  | |              e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.24/10.71  | |              e4)))
% 72.24/10.71  | | 
% 72.24/10.71  | | ALPHA: (8) implies:
% 72.24/10.71  | |   (9)   ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))
% 72.24/10.71  | | 
% 72.24/10.71  | | BETA: splitting (9) gives:
% 72.24/10.71  | | 
% 72.24/10.71  | | Case 1:
% 72.24/10.71  | | | 
% 72.24/10.71  | | |   (10)   ~ (all_10_13 = e4)
% 72.24/10.71  | | | 
% 72.24/10.71  | | | REDUCE: (5), (10) imply:
% 72.24/10.71  | | |   (11)  $false
% 72.24/10.71  | | | 
% 72.24/10.71  | | | CLOSE: (11) is inconsistent.
% 72.24/10.71  | | | 
% 72.24/10.71  | | Case 2:
% 72.24/10.71  | | | 
% 72.24/10.71  | | |   (12)  all_10_10 = e1 &  ~ (unit = e4)
% 72.24/10.71  | | | 
% 72.24/10.71  | | | ALPHA: (12) implies:
% 72.24/10.71  | | |   (13)  all_10_10 = e1
% 72.24/10.71  | | | 
% 72.24/10.71  | | | COMBINE_EQS: (7), (13) imply:
% 72.24/10.71  | | |   (14)  all_4_2 = e1
% 72.24/10.71  | | | 
% 72.24/10.71  | | | REDUCE: (2), (14) imply:
% 72.24/10.71  | | |   (15)  $false
% 72.24/10.71  | | | 
% 72.24/10.71  | | | CLOSE: (15) is inconsistent.
% 72.24/10.71  | | | 
% 72.24/10.71  | | End of split
% 72.24/10.71  | | 
% 72.24/10.71  | Case 2:
% 72.24/10.71  | | 
% 72.24/10.71  | |   (16)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 72.24/10.71  | |           (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 72.24/10.71  | |           (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.24/10.71  | |           (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 72.24/10.71  | |           (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.24/10.71  | |           (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit
% 72.24/10.71  | |             = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3)))
% 72.24/10.71  | |         & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.71  | |           (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 72.24/10.71  | |           (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 72.24/10.71  | |           (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 72.24/10.71  | |           (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 72.24/10.71  | |           (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 72.24/10.71  | |           (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 72.24/10.71  | |           (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |  ~
% 72.24/10.71  | |           (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 72.24/10.71  | |               e3))) & ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit =
% 72.24/10.71  | |               e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 72.24/10.71  | |               e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 72.24/10.71  | |               e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 72.24/10.71  | |           (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3))) & ( ~
% 72.24/10.71  | |           (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.71  | |           (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))
% 72.24/10.71  | | 
% 72.24/10.71  | | ALPHA: (16) implies:
% 72.24/10.71  | |   (17)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 72.24/10.71  | | 
% 72.24/10.71  | | REF_CLOSE: (3), (4), (6), (17) are inconsistent by sub-proof #64.
% 72.24/10.71  | | 
% 72.24/10.71  | End of split
% 72.24/10.71  | 
% 72.24/10.71  End of proof
% 72.24/10.71  
% 72.24/10.71  Sub-proof #64 shows that the following formulas are inconsistent:
% 72.24/10.71  ----------------------------------------------------------------
% 72.24/10.71    (1)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 72.24/10.71    (2)  all_10_23 = e3
% 72.24/10.71    (3)  all_10_21 = all_4_9
% 72.24/10.71    (4)   ~ (all_4_9 = e1)
% 72.24/10.71  
% 72.24/10.71  Begin of proof
% 72.24/10.71  | 
% 72.24/10.71  | BETA: splitting (1) gives:
% 72.24/10.71  | 
% 72.24/10.71  | Case 1:
% 72.24/10.71  | | 
% 72.24/10.71  | |   (5)   ~ (all_10_23 = e3)
% 72.24/10.71  | | 
% 72.24/10.71  | | REDUCE: (2), (5) imply:
% 72.24/10.71  | |   (6)  $false
% 72.24/10.71  | | 
% 72.24/10.71  | | CLOSE: (6) is inconsistent.
% 72.24/10.71  | | 
% 72.24/10.71  | Case 2:
% 72.24/10.71  | | 
% 72.24/10.71  | |   (7)  all_10_21 = e1 &  ~ (unit = e3)
% 72.24/10.71  | | 
% 72.24/10.71  | | ALPHA: (7) implies:
% 72.24/10.71  | |   (8)  all_10_21 = e1
% 72.24/10.71  | | 
% 72.24/10.71  | | COMBINE_EQS: (3), (8) imply:
% 72.24/10.71  | |   (9)  all_4_9 = e1
% 72.24/10.71  | | 
% 72.24/10.71  | | REDUCE: (4), (9) imply:
% 72.24/10.71  | |   (10)  $false
% 72.24/10.71  | | 
% 72.24/10.71  | | CLOSE: (10) is inconsistent.
% 72.24/10.71  | | 
% 72.24/10.71  | End of split
% 72.24/10.71  | 
% 72.24/10.71  End of proof
% 72.24/10.71  
% 72.24/10.71  Sub-proof #65 shows that the following formulas are inconsistent:
% 72.24/10.71  ----------------------------------------------------------------
% 72.24/10.71    (1)  all_10_0 = e4
% 72.24/10.71    (2)  all_10_0 = e1
% 72.24/10.71    (3)   ~ (e1 = e0)
% 72.24/10.71    (4)  all_10_18 = e4
% 72.24/10.71    (5)  all_10_18 = e0
% 72.24/10.71  
% 72.24/10.71  Begin of proof
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.71  |   (6)  e4 = e1
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (4), (5) imply:
% 72.24/10.71  |   (7)  e4 = e0
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (6), (7) imply:
% 72.24/10.71  |   (8)  e1 = e0
% 72.24/10.71  | 
% 72.24/10.71  | SIMP: (8) implies:
% 72.24/10.71  |   (9)  e1 = e0
% 72.24/10.71  | 
% 72.24/10.71  | REDUCE: (3), (9) imply:
% 72.24/10.71  |   (10)  $false
% 72.24/10.71  | 
% 72.24/10.71  | CLOSE: (10) is inconsistent.
% 72.24/10.71  | 
% 72.24/10.71  End of proof
% 72.24/10.71  
% 72.24/10.71  Sub-proof #66 shows that the following formulas are inconsistent:
% 72.24/10.71  ----------------------------------------------------------------
% 72.24/10.71    (1)  all_10_0 = e4
% 72.24/10.71    (2)   ~ (e3 = e2)
% 72.24/10.71    (3)  all_10_0 = e2
% 72.24/10.71    (4)  all_10_12 = e4
% 72.24/10.71    (5)  all_10_12 = e3
% 72.24/10.71  
% 72.24/10.71  Begin of proof
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (1), (3) imply:
% 72.24/10.71  |   (6)  e4 = e2
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (4), (5) imply:
% 72.24/10.71  |   (7)  e4 = e3
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (6), (7) imply:
% 72.24/10.71  |   (8)  e3 = e2
% 72.24/10.71  | 
% 72.24/10.71  | REDUCE: (2), (8) imply:
% 72.24/10.71  |   (9)  $false
% 72.24/10.71  | 
% 72.24/10.71  | CLOSE: (9) is inconsistent.
% 72.24/10.71  | 
% 72.24/10.71  End of proof
% 72.24/10.71  
% 72.24/10.71  Sub-proof #67 shows that the following formulas are inconsistent:
% 72.24/10.71  ----------------------------------------------------------------
% 72.24/10.71    (1)  all_8_10 = e2
% 72.24/10.71    (2)  all_8_10 = e0
% 72.24/10.71    (3)   ~ (e2 = e0)
% 72.24/10.71  
% 72.24/10.71  Begin of proof
% 72.24/10.71  | 
% 72.24/10.71  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.71  |   (4)  e2 = e0
% 72.24/10.71  | 
% 72.24/10.71  | SIMP: (4) implies:
% 72.24/10.71  |   (5)  e2 = e0
% 72.24/10.71  | 
% 72.24/10.71  | REDUCE: (3), (5) imply:
% 72.24/10.71  |   (6)  $false
% 72.24/10.71  | 
% 72.24/10.71  | CLOSE: (6) is inconsistent.
% 72.24/10.71  | 
% 72.24/10.71  End of proof
% 72.24/10.71  
% 72.24/10.71  Sub-proof #68 shows that the following formulas are inconsistent:
% 72.24/10.71  ----------------------------------------------------------------
% 72.24/10.71    (1)  all_8_6 = all_4_2
% 72.24/10.71    (2)   ~ (all_4_0 = e3)
% 72.24/10.71    (3)   ~ (all_4_2 = all_4_7)
% 72.24/10.71    (4)  all_10_9 = e3
% 72.24/10.71    (5)  all_10_6 = e4
% 72.24/10.71    (6)  op(e2, unit) = e2
% 72.24/10.71    (7)  all_10_16 = all_4_8
% 72.24/10.71    (8)   ~ (all_4_20 = all_4_23)
% 72.24/10.71    (9)   ~ (e3 = e1)
% 72.24/10.71    (10)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 72.24/10.71    (11)   ~ (all_4_7 = all_4_22)
% 72.24/10.71    (12)  all_8_14 = all_4_13
% 72.24/10.71    (13)  all_8_13 = all_4_8
% 72.24/10.71    (14)  op(e1, e3) = all_4_8
% 72.24/10.71    (15)  all_8_17 = e3
% 72.24/10.71    (16)  op(e4, e0) = all_4_20
% 72.24/10.71    (17)   ~ (all_4_13 = e1)
% 72.24/10.71    (18)  op(unit, e3) = e3
% 72.24/10.71    (19)   ~ (all_4_10 = e3)
% 72.24/10.71    (20)  op(unit, e4) = e4
% 72.24/10.71    (21)  all_8_12 = e3
% 72.24/10.71    (22)   ~ (all_4_23 = e1)
% 72.24/10.71    (23)  op(e4, e4) = all_4_0
% 72.24/10.71    (24)  op(e1, e0) = all_4_23
% 72.24/10.71    (25)  all_10_24 = e1
% 72.24/10.71    (26)  all_8_3 = e4
% 72.24/10.71    (27)   ~ (all_4_0 = all_4_10)
% 72.24/10.71    (28)  all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24
% 72.24/10.71          = e2
% 72.24/10.71    (29)  all_10_5 = e0
% 72.24/10.71    (30)  all_10_21 = all_4_9
% 72.24/10.71    (31)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 72.24/10.71          = e1
% 72.24/10.71    (32)  all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 | all_6_19
% 72.24/10.71          = e0
% 72.24/10.71    (33)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.24/10.71                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.24/10.71                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.24/10.71                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.24/10.71                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.24/10.71                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.24/10.71              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.24/10.71                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.24/10.71                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.24/10.71              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.24/10.71              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.24/10.71              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.24/10.71              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.24/10.71              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.24/10.71              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.24/10.71              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.24/10.71              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.24/10.71              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.24/10.71                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.24/10.71            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.24/10.71              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.24/10.71              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.24/10.71              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.24/10.71                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.24/10.71                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.24/10.71                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.24/10.71                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.24/10.71            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.24/10.71              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.24/10.71                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.24/10.71                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.24/10.71                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.24/10.71              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.24/10.71              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.71              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.24/10.71              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.24/10.71              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.24/10.71              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.24/10.71              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.24/10.71              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.24/10.71              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.24/10.71                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.24/10.71            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.71              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.24/10.71              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.24/10.71                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.24/10.71              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.24/10.71                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.24/10.71            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.24/10.71              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.24/10.71                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.24/10.71                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.24/10.71                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.24/10.71                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.24/10.71                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.24/10.71                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.24/10.71              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.24/10.71              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.24/10.71              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.24/10.71                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.24/10.71            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.24/10.71              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.24/10.71              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.24/10.71              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.24/10.71              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.24/10.71              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.24/10.71              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.24/10.71                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.24/10.71                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.24/10.71              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.24/10.71                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.24/10.71              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.24/10.71                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.24/10.71            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.24/10.71              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.24/10.71              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.24/10.71              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.24/10.71              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.24/10.71                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.24/10.71            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.24/10.71              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.24/10.71              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.24/10.71              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.24/10.71                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.24/10.71                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.24/10.71                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.24/10.71                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.24/10.71              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.24/10.71                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.24/10.71                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.24/10.71              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.24/10.71              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.24/10.71              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.24/10.71              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.24/10.71              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.24/10.71                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.24/10.71            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.71              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.24/10.71    (34)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.24/10.71          e2
% 72.24/10.71    (35)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 72.24/10.71          e1
% 72.24/10.71    (36)  all_8_15 = e0
% 72.24/10.71    (37)  all_10_23 = all_4_19
% 72.24/10.71    (38)  all_8_8 = e3
% 72.24/10.71    (39)  all_10_17 = all_4_13
% 72.24/10.71    (40)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.24/10.71            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.24/10.71    (41)   ~ (e3 = e0)
% 72.24/10.71    (42)  all_10_4 = all_4_20
% 72.24/10.71    (43)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 =
% 72.24/10.71          e0
% 72.24/10.71    (44)   ~ (all_4_8 = all_4_23)
% 72.24/10.71    (45)   ~ (all_4_17 = e0)
% 72.24/10.71    (46)  op(unit, e2) = e2
% 72.24/10.71    (47)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 72.24/10.71    (48)   ~ (all_4_2 = e3)
% 72.24/10.71    (49)  op(e2, e4) = all_4_2
% 72.24/10.71    (50)  all_8_16 = all_4_20
% 72.24/10.71    (51)   ~ (all_4_14 = e3)
% 72.24/10.71    (52)  op(e1, unit) = e1
% 72.24/10.71    (53)   ~ (all_4_23 = e0)
% 72.24/10.71    (54)   ~ (e4 = e2)
% 72.24/10.71    (55)   ~ (all_4_19 = e0)
% 72.24/10.71    (56)  all_10_22 = all_4_14
% 72.24/10.71    (57)  all_8_11 = all_4_17
% 72.24/10.71    (58)  all_10_19 = all_4_23
% 72.24/10.71    (59)  all_6_0 = all_4_0
% 72.24/10.71    (60)   ~ (all_4_7 = e3)
% 72.24/10.71    (61)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 =
% 72.24/10.71          e4
% 72.24/10.71    (62)   ~ (all_4_0 = all_4_20)
% 72.24/10.71    (63)   ~ (e4 = e3)
% 72.24/10.71    (64)  all_8_0 = all_4_0
% 72.24/10.71    (65)  op(e2, e0) = all_4_22
% 72.24/10.71    (66)   ~ (all_4_8 = e4)
% 72.24/10.71    (67)  all_8_1 = all_4_5
% 72.24/10.71    (68)  all_8_19 = all_4_23
% 72.24/10.71    (69)  op(e4, e2) = all_4_10
% 72.24/10.71    (70)  all_8_7 = all_4_7
% 72.24/10.71    (71)   ~ (e1 = e0)
% 72.24/10.71    (72)   ~ (all_4_2 = e0)
% 72.24/10.72    (73)  op(e4, unit) = e4
% 72.24/10.72    (74)  all_10_15 = e3
% 72.24/10.72    (75)   ~ (all_4_23 = e3)
% 72.24/10.72    (76)  op(unit, e0) = e0
% 72.24/10.72    (77)  op(e1, e4) = e3
% 72.24/10.72    (78)  all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 =
% 72.24/10.72          e1
% 72.24/10.72    (79)   ~ (all_4_0 = all_4_2)
% 72.24/10.72    (80)   ~ (e2 = e1)
% 72.24/10.72    (81)  all_10_2 = all_4_10
% 72.24/10.72    (82)   ~ (all_4_2 = all_4_22)
% 72.24/10.72    (83)  all_6_10 = all_4_2
% 72.24/10.72    (84)   ~ (all_4_7 = all_4_8)
% 72.24/10.72    (85)  all_6_19 = all_4_23
% 72.24/10.72    (86)  all_8_18 = all_4_22
% 72.24/10.72    (87)   ~ (e2 = e0)
% 72.24/10.72    (88)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 | all_6_10
% 72.24/10.72          = e0
% 72.24/10.72    (89)   ~ (all_4_13 = e0)
% 72.24/10.72    (90)  all_10_1 = all_4_5
% 72.24/10.72    (91)  all_8_24 = e1
% 72.24/10.72    (92)  all_8_21 = all_4_9
% 72.24/10.72  
% 72.24/10.72  Begin of proof
% 72.24/10.72  | 
% 72.24/10.72  | BETA: splitting (31) gives:
% 72.24/10.72  | 
% 72.24/10.72  | Case 1:
% 72.24/10.72  | | 
% 72.24/10.72  | |   (93)  all_8_12 = e1
% 72.24/10.72  | | 
% 72.24/10.72  | | COMBINE_EQS: (21), (93) imply:
% 72.24/10.72  | |   (94)  e3 = e1
% 72.24/10.72  | | 
% 72.24/10.72  | | SIMP: (94) implies:
% 72.24/10.72  | |   (95)  e3 = e1
% 72.24/10.72  | | 
% 72.24/10.72  | | REDUCE: (9), (95) imply:
% 72.24/10.72  | |   (96)  $false
% 72.24/10.72  | | 
% 72.24/10.72  | | CLOSE: (96) is inconsistent.
% 72.24/10.72  | | 
% 72.24/10.72  | Case 2:
% 72.24/10.72  | | 
% 72.24/10.72  | |   (97)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.24/10.72  | | 
% 72.24/10.72  | | BETA: splitting (97) gives:
% 72.24/10.72  | | 
% 72.24/10.72  | | Case 1:
% 72.24/10.72  | | | 
% 72.24/10.72  | | |   (98)  all_8_13 = e1
% 72.24/10.72  | | | 
% 72.24/10.72  | | | COMBINE_EQS: (13), (98) imply:
% 72.24/10.72  | | |   (99)  all_4_8 = e1
% 72.24/10.72  | | | 
% 72.24/10.72  | | | SIMP: (99) implies:
% 72.24/10.72  | | |   (100)  all_4_8 = e1
% 72.24/10.72  | | | 
% 72.24/10.72  | | | COMBINE_EQS: (7), (100) imply:
% 72.24/10.72  | | |   (101)  all_10_16 = e1
% 72.24/10.72  | | | 
% 72.24/10.72  | | | REDUCE: (84), (100) imply:
% 72.24/10.72  | | |   (102)   ~ (all_4_7 = e1)
% 72.24/10.72  | | | 
% 72.24/10.72  | | | REDUCE: (44), (100) imply:
% 72.24/10.72  | | |   (103)   ~ (all_4_23 = e1)
% 72.24/10.72  | | | 
% 72.24/10.72  | | | REDUCE: (66), (100) imply:
% 72.24/10.72  | | |   (104)   ~ (e4 = e1)
% 72.24/10.72  | | | 
% 72.24/10.72  | | | SIMP: (104) implies:
% 72.24/10.72  | | |   (105)   ~ (e4 = e1)
% 72.24/10.72  | | | 
% 72.24/10.72  | | | REDUCE: (14), (100) imply:
% 72.24/10.72  | | |   (106)  op(e1, e3) = e1
% 72.24/10.72  | | | 
% 72.24/10.72  | | | BETA: splitting (33) gives:
% 72.24/10.72  | | | 
% 72.24/10.72  | | | Case 1:
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | |   (107)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.24/10.72  | | | |              (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.24/10.72  | | | |              (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 72.24/10.72  | | | |              (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 72.24/10.72  | | | |              (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) | 
% 72.24/10.72  | | | |              ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~
% 72.24/10.72  | | | |                (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.24/10.72  | | | |                (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~
% 72.24/10.72  | | | |                (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) &
% 72.24/10.72  | | | |            ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | |              ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | |              ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | |              ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | |              ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4)
% 72.24/10.72  | | | |              | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 72.24/10.72  | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 72.24/10.72  | | | |              | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4)
% 72.24/10.72  | | | |              | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4)
% 72.24/10.72  | | | |              |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3
% 72.24/10.72  | | | |                &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 72.24/10.72  | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20
% 72.24/10.72  | | | |                = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.24/10.72  | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3)
% 72.24/10.72  | | | |              | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |
% 72.24/10.72  | | | |               ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~
% 72.24/10.72  | | | |                (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~
% 72.24/10.72  | | | |                (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~
% 72.24/10.72  | | | |                (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & (
% 72.24/10.72  | | | |              ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 72.24/10.72  | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 72.24/10.72  | | | |              (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 72.24/10.72  | | | |              (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 72.24/10.72  | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 72.24/10.72  | | | |              (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 72.24/10.72  | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 72.24/10.72  | | | |              (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 72.24/10.72  | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |
% 72.24/10.72  | | | |               ~ (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 & 
% 72.24/10.72  | | | |                ~ (unit = e3))) & ( ~ (all_10_18 = e3) | (all_10_16 = e1
% 72.24/10.72  | | | |                &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) | (all_10_16 =
% 72.24/10.72  | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) | (all_10_21
% 72.24/10.72  | | | |                = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.24/10.72  | | | |                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~
% 72.24/10.72  | | | |                (unit = e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 & 
% 72.24/10.72  | | | |                ~ (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0
% 72.24/10.72  | | | |                &  ~ (unit = e3))))
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | | BETA: splitting (107) gives:
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | | Case 1:
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | |   (108)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.24/10.72  | | | | |            (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.24/10.72  | | | | |            (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 72.24/10.72  | | | | |            (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 72.24/10.72  | | | | |            (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) | 
% 72.24/10.72  | | | | |            ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~
% 72.24/10.72  | | | | |              (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.24/10.72  | | | | |              (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~
% 72.24/10.72  | | | | |              (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~
% 72.24/10.72  | | | | |              (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) &
% 72.24/10.72  | | | | |          ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | | |            ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | | |            ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | | |            ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & (
% 72.24/10.72  | | | | |            ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4)
% 72.24/10.72  | | | | |            | (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 72.24/10.72  | | | | |            | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4)
% 72.24/10.72  | | | | |            | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4)
% 72.24/10.72  | | | | |            | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4)
% 72.24/10.72  | | | | |            |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3
% 72.24/10.72  | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 72.24/10.72  | | | | |              e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20
% 72.24/10.72  | | | | |              = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.24/10.72  | | | | |            (all_10_20 = e0 &  ~ (unit = e4)))
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | ALPHA: (108) implies:
% 72.24/10.72  | | | | |   (109)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | REF_CLOSE: (5), (29), (41), (109) are inconsistent by sub-proof #274.
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | Case 2:
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | |   (110)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 72.24/10.72  | | | | |            (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 72.24/10.72  | | | | |            (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.24/10.72  | | | | |            (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 72.24/10.72  | | | | |            (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.24/10.72  | | | | |            (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) | 
% 72.24/10.72  | | | | |            ~ (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~
% 72.24/10.72  | | | | |              (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~
% 72.24/10.72  | | | | |              (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~
% 72.24/10.72  | | | | |              (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 & 
% 72.24/10.72  | | | | |              ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3))
% 72.24/10.72  | | | | |          & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) &
% 72.24/10.72  | | | | |          ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & (
% 72.24/10.72  | | | | |            ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & (
% 72.24/10.72  | | | | |            ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & (
% 72.24/10.72  | | | | |            ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3)
% 72.24/10.72  | | | | |            | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3)
% 72.24/10.72  | | | | |            | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3)
% 72.24/10.72  | | | | |            | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3)
% 72.24/10.72  | | | | |            | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3)
% 72.24/10.72  | | | | |            |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 72.24/10.72  | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) | (all_10_21 =
% 72.24/10.72  | | | | |              e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21
% 72.24/10.72  | | | | |              = e0 &  ~ (unit = e3)))
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | ALPHA: (110) implies:
% 72.24/10.72  | | | | |   (111)   ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | BETA: splitting (111) gives:
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | Case 1:
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | |   (112)   ~ (all_10_15 = e3)
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | REDUCE: (74), (112) imply:
% 72.24/10.72  | | | | | |   (113)  $false
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | CLOSE: (113) is inconsistent.
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | Case 2:
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | |   (114)  all_10_16 = e4 &  ~ (unit = e3)
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | ALPHA: (114) implies:
% 72.24/10.72  | | | | | |   (115)  all_10_16 = e4
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | COMBINE_EQS: (101), (115) imply:
% 72.24/10.72  | | | | | |   (116)  e4 = e1
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | SIMP: (116) implies:
% 72.24/10.72  | | | | | |   (117)  e4 = e1
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | REDUCE: (105), (117) imply:
% 72.24/10.72  | | | | | |   (118)  $false
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | CLOSE: (118) is inconsistent.
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | End of split
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | End of split
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | Case 2:
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | |   (119)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 72.24/10.72  | | | |              (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 72.24/10.72  | | | |              (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 72.24/10.72  | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.24/10.72  | | | |              (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.24/10.72  | | | |              (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.24/10.72  | | | |              (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 72.24/10.72  | | | |              ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 72.24/10.72  | | | |                (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 & 
% 72.24/10.72  | | | |                ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3
% 72.24/10.72  | | | |                &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit =
% 72.24/10.72  | | | |                e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit
% 72.24/10.72  | | | |                  = e2))) & ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e2))) & ( ~ (all_10_15 = e2) | (all_10_17 = e4 & 
% 72.24/10.72  | | | |                ~ (unit = e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3
% 72.24/10.72  | | | |                &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 72.24/10.72  | | | |                e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 72.24/10.72  | | | |                  = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4 & 
% 72.24/10.72  | | | |                ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22 = e3
% 72.24/10.72  | | | |                &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 72.24/10.72  | | | |                e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 72.24/10.72  | | | |                  = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e2)))) | (( ~ (all_10_0 = e1) | (all_10_3 = e4 & 
% 72.24/10.72  | | | |                ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3 & 
% 72.24/10.72  | | | |                ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.24/10.72  | | | |                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) &
% 72.24/10.72  | | | |            ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.24/10.72  | | | |              (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 72.24/10.72  | | | |              (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.72  | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~
% 72.24/10.72  | | | |              (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) |
% 72.24/10.72  | | | |              (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.24/10.72  | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.24/10.72  | | | |              (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.24/10.72  | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 72.24/10.72  | | | |               ~ (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 & 
% 72.24/10.72  | | | |                ~ (unit = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4
% 72.24/10.72  | | | |                &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 72.24/10.72  | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) | (all_10_18
% 72.24/10.72  | | | |                = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.24/10.72  | | | |                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~
% 72.24/10.72  | | | |                (unit = e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 & 
% 72.24/10.72  | | | |                ~ (unit = e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 72.24/10.72  | | | |                &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 72.24/10.72  | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 72.24/10.72  | | | |                e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 72.24/10.72  | | | |                  = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~
% 72.24/10.72  | | | |                (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~
% 72.24/10.72  | | | |                (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 72.24/10.72  | | | |                (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~
% 72.24/10.72  | | | |                (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & (
% 72.24/10.72  | | | |              ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.72  | | | |              (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.72  | | | |              (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.72  | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.72  | | | |              (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 72.24/10.72  | | | |              (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 72.24/10.72  | | | |              (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.24/10.72  | | | |              (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.24/10.72  | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.24/10.72  | | | |               ~ (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4 & 
% 72.24/10.72  | | | |                ~ (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3
% 72.24/10.72  | | | |                &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 72.24/10.72  | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_19
% 72.24/10.72  | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.24/10.72  | | | |                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~
% 72.24/10.72  | | | |                (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 & 
% 72.24/10.72  | | | |                ~ (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2
% 72.24/10.72  | | | |                &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 72.24/10.72  | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 72.24/10.72  | | | |                e0)))
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | | BETA: splitting (119) gives:
% 72.24/10.72  | | | | 
% 72.24/10.72  | | | | Case 1:
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | |   (120)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 72.24/10.72  | | | | |            (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 72.24/10.72  | | | | |            (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 72.24/10.72  | | | | |            (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.24/10.72  | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.24/10.72  | | | | |            (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.24/10.72  | | | | |            (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 72.24/10.72  | | | | |            ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 72.24/10.72  | | | | |              (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~
% 72.24/10.72  | | | | |              (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 & 
% 72.24/10.72  | | | | |              ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3
% 72.24/10.72  | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit =
% 72.24/10.72  | | | | |              e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit
% 72.24/10.72  | | | | |                = e2))) & ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~
% 72.24/10.72  | | | | |              (unit = e2))) & ( ~ (all_10_15 = e2) | (all_10_17 = e4 & 
% 72.24/10.72  | | | | |              ~ (unit = e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3
% 72.24/10.72  | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 72.24/10.72  | | | | |              e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 72.24/10.72  | | | | |                = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~
% 72.24/10.72  | | | | |              (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4 & 
% 72.24/10.72  | | | | |              ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22 = e3
% 72.24/10.72  | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 72.24/10.72  | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 72.24/10.72  | | | | |                = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~
% 72.24/10.72  | | | | |              (unit = e2)))
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | ALPHA: (120) implies:
% 72.24/10.72  | | | | |   (121)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))
% 72.24/10.72  | | | | |   (122)   ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))
% 72.24/10.72  | | | | |   (123)   ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))
% 72.24/10.72  | | | | |   (124)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | BETA: splitting (121) gives:
% 72.24/10.72  | | | | | 
% 72.24/10.72  | | | | | Case 1:
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | |   (125)   ~ (all_10_21 = e2)
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | REDUCE: (30), (125) imply:
% 72.24/10.72  | | | | | |   (126)   ~ (all_4_9 = e2)
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | BETA: splitting (124) gives:
% 72.24/10.72  | | | | | | 
% 72.24/10.72  | | | | | | Case 1:
% 72.24/10.72  | | | | | | | 
% 72.24/10.72  | | | | | | |   (127)   ~ (all_10_1 = e2)
% 72.24/10.72  | | | | | | | 
% 72.24/10.72  | | | | | | | REDUCE: (90), (127) imply:
% 72.24/10.72  | | | | | | |   (128)   ~ (all_4_5 = e2)
% 72.24/10.72  | | | | | | | 
% 72.24/10.72  | | | | | | | BETA: splitting (34) gives:
% 72.24/10.72  | | | | | | | 
% 72.24/10.72  | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | |   (129)  all_8_1 = e2
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | | COMBINE_EQS: (67), (129) imply:
% 72.24/10.72  | | | | | | | |   (130)  all_4_5 = e2
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | | SIMP: (130) implies:
% 72.24/10.72  | | | | | | | |   (131)  all_4_5 = e2
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | | REDUCE: (128), (131) imply:
% 72.24/10.72  | | | | | | | |   (132)  $false
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | | CLOSE: (132) is inconsistent.
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | |   (133)  all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21
% 72.24/10.72  | | | | | | | |          = e2
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | | BETA: splitting (133) gives:
% 72.24/10.72  | | | | | | | | 
% 72.24/10.72  | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | 
% 72.24/10.72  | | | | | | | | |   (134)  all_8_3 = e2
% 72.24/10.72  | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | REF_CLOSE: (26), (54), (134) are inconsistent by sub-proof
% 72.24/10.72  | | | | | | | | |            #275.
% 72.24/10.72  | | | | | | | | | 
% 72.24/10.72  | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | 
% 72.24/10.72  | | | | | | | | |   (135)  all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.24/10.72  | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | BETA: splitting (135) gives:
% 72.24/10.72  | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | |   (136)  all_8_7 = e2
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | COMBINE_EQS: (70), (136) imply:
% 72.24/10.72  | | | | | | | | | |   (137)  all_4_7 = e2
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | REDUCE: (3), (137) imply:
% 72.24/10.72  | | | | | | | | | |   (138)   ~ (all_4_2 = e2)
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | REDUCE: (11), (137) imply:
% 72.24/10.72  | | | | | | | | | |   (139)   ~ (all_4_22 = e2)
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | SIMP: (139) implies:
% 72.24/10.72  | | | | | | | | | |   (140)   ~ (all_4_22 = e2)
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | REDUCE: (60), (137) imply:
% 72.24/10.72  | | | | | | | | | |   (141)   ~ (e3 = e2)
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | SIMP: (141) implies:
% 72.24/10.72  | | | | | | | | | |   (142)   ~ (e3 = e2)
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | BETA: splitting (122) gives:
% 72.24/10.72  | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | |   (143)   ~ (all_10_19 = e2)
% 72.24/10.72  | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | REDUCE: (58), (143) imply:
% 72.24/10.72  | | | | | | | | | | |   (144)   ~ (all_4_23 = e2)
% 72.24/10.72  | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | BETA: splitting (32) gives:
% 72.24/10.72  | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | |   (145)  all_6_19 = e3
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | COMBINE_EQS: (85), (145) imply:
% 72.24/10.72  | | | | | | | | | | | |   (146)  all_4_23 = e3
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | SIMP: (146) implies:
% 72.24/10.72  | | | | | | | | | | | |   (147)  all_4_23 = e3
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | REDUCE: (75), (147) imply:
% 72.24/10.72  | | | | | | | | | | | |   (148)  $false
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | CLOSE: (148) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | |   (149)  all_6_19 = e4 | all_6_19 = e2 | all_6_19 = e1 |
% 72.24/10.72  | | | | | | | | | | | |          all_6_19 = e0
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | BETA: splitting (43) gives:
% 72.24/10.72  | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | |   (150)  all_8_6 = e0
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | COMBINE_EQS: (1), (150) imply:
% 72.24/10.72  | | | | | | | | | | | | |   (151)  all_4_2 = e0
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | REDUCE: (72), (151) imply:
% 72.24/10.72  | | | | | | | | | | | | |   (152)  $false
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | |   (153)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 72.24/10.72  | | | | | | | | | | | | |          all_8_18 = e0
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | BETA: splitting (28) gives:
% 72.24/10.72  | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | |   (154)  all_8_16 = e2
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | COMBINE_EQS: (50), (154) imply:
% 72.24/10.72  | | | | | | | | | | | | | |   (155)  all_4_20 = e2
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | SIMP: (155) implies:
% 72.24/10.72  | | | | | | | | | | | | | |   (156)  all_4_20 = e2
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | COMBINE_EQS: (42), (156) imply:
% 72.24/10.72  | | | | | | | | | | | | | |   (157)  all_10_4 = e2
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | REDUCE: (62), (156) imply:
% 72.24/10.72  | | | | | | | | | | | | | |   (158)   ~ (all_4_0 = e2)
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | REDUCE: (8), (156) imply:
% 72.24/10.72  | | | | | | | | | | | | | |   (159)   ~ (all_4_23 = e2)
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | REDUCE: (16), (156) imply:
% 72.24/10.72  | | | | | | | | | | | | | |   (160)  op(e4, e0) = e2
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | BETA: splitting (149) gives:
% 72.24/10.72  | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | |   (161)  all_6_19 = e2
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | COMBINE_EQS: (85), (161) imply:
% 72.24/10.72  | | | | | | | | | | | | | | |   (162)  all_4_23 = e2
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | SIMP: (162) implies:
% 72.24/10.72  | | | | | | | | | | | | | | |   (163)  all_4_23 = e2
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | REDUCE: (144), (163) imply:
% 72.24/10.72  | | | | | | | | | | | | | | |   (164)  $false
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | CLOSE: (164) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | |   (165)  all_6_19 = e4 | all_6_19 = e1 | all_6_19 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 72.24/10.72  | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | |   (166)  all_6_19 = e1
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (166) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | |   (167)  all_4_23 = e1
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 72.24/10.72  | | | | | | | | | | | | | | | |   (168)  all_4_23 = e1
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | REDUCE: (22), (168) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | |   (169)  $false
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | CLOSE: (169) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | |   (170)  all_6_19 = e4 | all_6_19 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 72.24/10.72  | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | |   (171)  all_8_7 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (136), (171) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | |   (172)  e2 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | REDUCE: (87), (172) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | |   (173)  $false
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | CLOSE: (173) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | |   (174)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 72.24/10.72  | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | |   (175)  all_8_8 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (175) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | | |   (176)  e3 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | REDUCE: (41), (176) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | | |   (177)  $false
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | CLOSE: (177) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | |   (178)  all_8_11 = e0 | all_8_18 = e0
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | |   (179)  all_6_19 = e4
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (179) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | |   (180)  all_4_23 = e4
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | SIMP: (180) implies:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | |   (181)  all_4_23 = e4
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | REDUCE: (24), (181) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | |   (182)  op(e1, e0) = e4
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | |   (183)   ~ (all_10_4 = e2)
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (183) imply:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | |   (184)  $false
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | CLOSE: (184) is inconsistent.
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | |   (185)  all_10_2 = e0 &  ~ (unit = e2)
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.72  | | | | | | | | | | | | | | | | | | | | ALPHA: (185) implies:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | |   (186)  all_10_2 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | |   (187)   ~ (unit = e2)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (81), (186) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | |   (188)  all_4_10 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | SIMP: (188) implies:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | |   (189)  all_4_10 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (189) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | |   (190)   ~ (all_4_0 = e0)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (189) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | |   (191)  op(e4, e2) = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (192)  all_8_11 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (57), (192) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (193)  all_4_17 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (193) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (194)  $false
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | CLOSE: (194) is inconsistent.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (195)  all_8_18 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (86), (195) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (196)  all_4_22 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | SIMP: (196) implies:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (197)  all_4_22 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (197) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | |   (198)  op(e2, e0) = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | |   (199)  all_6_10 = e3
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (83), (199) are inconsistent by sub-proof
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | |            #240.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | |   (200)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 |
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | |          all_6_10 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (10) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | |   (201)  all_6_0 = e3
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (59), (201) are inconsistent by sub-proof
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | |            #170.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | |   (202)  all_6_0 = e4 | all_6_0 = e2 | all_6_0 = e1 |
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | |          all_6_0 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | |   (203)  all_8_6 = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (203) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | |   (204)  all_4_2 = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (204) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | |   (205)   ~ (all_4_0 = e4)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (204) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | |   (206)  op(e2, e4) = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (78) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (207)  all_8_0 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (64), (207) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (208)  all_4_0 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (208) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (209)  op(e4, e4) = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (210)  unit = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (210) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (211)  $false
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (211) is inconsistent.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (212)  unit = e4 | unit = e1 | unit = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (213)  unit = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (213) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (214)  op(e1, e4) = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (213) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (215)  op(e1, e3) = e3
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (213) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (216)  op(e1, e0) = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (71), (77), (106), (182), (214), (215),
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (216) are inconsistent by sub-proof #73.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (217)   ~ (unit = e1)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (218)  unit = e4 | unit = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (219)  unit = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (219) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (220)  op(e4, e2) = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (219) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (221)  op(e4, e4) = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (219) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (222)  op(e2, e4) = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e4, e2, e4, e2,
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (206), (222) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (223)  e4 = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e0, e2, e2, e4,
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (191), (220) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (224)  e2 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e1, e4, e4, e4,
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (209), (221) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (225)  e4 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (223), (225) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (226)  e2 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (227)  e2 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (224), (227) are inconsistent by sub-proof
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #72.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (228)  unit = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (217), (228) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (229)   ~ (e1 = e0)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (228) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (230)  op(e4, e0) = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (228) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (231)  op(e2, e0) = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (228) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (232)  op(e1, e0) = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (71), (160), (182), (198), (230), (231),
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (232) are inconsistent by sub-proof #71.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (233)   ~ (all_8_0 = e1)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (233) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (234)   ~ (all_4_0 = e1)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (59), (158), (190), (202), (205), (234) are
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | |   (235)   ~ (all_8_6 = e4)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (235) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | |   (236)   ~ (all_4_2 = e4)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (237)  all_6_10 = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (138), (237) are inconsistent by sub-proof
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |            #93.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (238)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (239)  all_8_6 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (239) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (240)  all_4_2 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (240) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (241)  op(e2, e4) = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (242)  unit = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (242) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (243)  $false
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (243) is inconsistent.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (244)  unit = e4 | unit = e1 | unit = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (245)  unit = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (245) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (246)  op(e1, e4) = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (245) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (247)  op(e1, e3) = e3
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (245) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (248)  op(e1, e0) = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (71), (77), (106), (182), (246), (247),
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (248) are inconsistent by sub-proof #73.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (249)   ~ (unit = e1)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (250)  unit = e4 | unit = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (251)  unit = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (251) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (252)  op(e4, e2) = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (251) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (253)  op(e2, e4) = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e1, e2, e4, e2,
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (241), (253) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (254)  e2 = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (40) with e0, e2, e2, e4,
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (191), (252) gives:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (255)  e2 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (254), (255) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (256)  e1 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (256) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (257)  $false
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (257) is inconsistent.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (258)  unit = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (249), (258) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (259)   ~ (e1 = e0)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (258) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (260)  op(e4, e0) = e4
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (258) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (261)  op(e2, e0) = e2
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (258) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (262)  op(e1, e0) = e1
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (71), (160), (182), (198), (260), (261),
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (262) are inconsistent by sub-proof #71.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (263)   ~ (all_8_6 = e1)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (263) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_4_2 = e1)
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (83), (236), (238), (264) are inconsistent
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #235.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | |   (265)  all_6_19 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (85), (265) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | |   (266)  all_4_23 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | SIMP: (266) implies:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | |   (267)  all_4_23 = e0
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | REDUCE: (53), (267) imply:
% 72.24/10.73  | | | | | | | | | | | | | | | | | | |   (268)  $false
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | CLOSE: (268) is inconsistent.
% 72.24/10.73  | | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | |   (269)  all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 72.24/10.73  | | | | | | | | | | | | | |          all_8_24 = e2
% 72.24/10.73  | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | | REF_CLOSE: (15), (68), (80), (86), (91), (140), (142), (144),
% 72.24/10.73  | | | | | | | | | | | | | |            (269) are inconsistent by sub-proof #111.
% 72.24/10.73  | | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | |   (270)  all_10_17 = e0 &  ~ (unit = e2)
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | REF_CLOSE: (39), (89), (270) are inconsistent by sub-proof
% 72.24/10.73  | | | | | | | | | | |            #110.
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | |   (271)  all_8_13 = e2 | all_8_21 = e2
% 72.24/10.73  | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | BETA: splitting (271) gives:
% 72.24/10.73  | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | Case 1:
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | |   (272)  all_8_13 = e2
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | COMBINE_EQS: (98), (272) imply:
% 72.24/10.73  | | | | | | | | | | |   (273)  e2 = e1
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | REDUCE: (80), (273) imply:
% 72.24/10.73  | | | | | | | | | | |   (274)  $false
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | CLOSE: (274) is inconsistent.
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | Case 2:
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | |   (275)  all_8_21 = e2
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | | REF_CLOSE: (92), (126), (275) are inconsistent by sub-proof
% 72.24/10.73  | | | | | | | | | | |            #70.
% 72.24/10.73  | | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | | 
% 72.24/10.73  | | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | | 
% 72.24/10.73  | | | | | | | | End of split
% 72.24/10.73  | | | | | | | | 
% 72.24/10.73  | | | | | | | End of split
% 72.24/10.73  | | | | | | | 
% 72.24/10.73  | | | | | | Case 2:
% 72.24/10.73  | | | | | | | 
% 72.24/10.73  | | | | | | |   (276)  all_10_2 = e3 &  ~ (unit = e2)
% 72.24/10.73  | | | | | | | 
% 72.24/10.73  | | | | | | | REF_CLOSE: (19), (81), (276) are inconsistent by sub-proof #69.
% 72.24/10.73  | | | | | | | 
% 72.24/10.73  | | | | | | End of split
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | Case 2:
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | |   (277)  all_10_22 = e3 &  ~ (unit = e2)
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | | REF_CLOSE: (51), (56), (277) are inconsistent by sub-proof #223.
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | End of split
% 72.24/10.73  | | | | | 
% 72.24/10.73  | | | | Case 2:
% 72.24/10.73  | | | | | 
% 72.24/10.73  | | | | |   (278)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | |              ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | |              ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | |              ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1)
% 72.24/10.73  | | | | |              | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1)
% 72.24/10.73  | | | | |              | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.24/10.73  | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1)
% 72.24/10.73  | | | | |              | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1)
% 72.24/10.73  | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 72.24/10.73  | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13
% 72.24/10.73  | | | | |                = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.24/10.73  | | | | |              (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1)
% 72.24/10.73  | | | | |              | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 =
% 72.24/10.73  | | | | |                e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.24/10.73  | | | | |              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1)
% 72.24/10.73  | | | | |              | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 =
% 72.24/10.73  | | | | |                e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.73  | | | | |              (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | |              ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 =
% 72.24/10.73  | | | | |                e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 72.24/10.73  | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | |              ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) &
% 72.24/10.73  | | | | |            ( ~ (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) &
% 72.24/10.73  | | | | |            ( ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.24/10.73  | | | | |                e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 72.24/10.73  | | | | |              (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | |              (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | |              (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 72.24/10.73  | | | | |              (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.24/10.73  | | | | |              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.24/10.73  | | | | |              (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.24/10.73  | | | | |              (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |
% 72.24/10.73  | | | | |               ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4
% 72.24/10.73  | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14
% 72.24/10.73  | | | | |                = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.24/10.73  | | | | |              (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0)
% 72.24/10.73  | | | | |              | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 =
% 72.24/10.73  | | | | |                e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.24/10.73  | | | | |              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0)
% 72.24/10.73  | | | | |              | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 =
% 72.24/10.73  | | | | |                e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | |              (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | |              ~ (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 =
% 72.24/10.73  | | | | |                e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | |              ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) &
% 72.24/10.73  | | | | |            ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) &
% 72.24/10.73  | | | | |            ( ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 72.24/10.73  | | | | | 
% 72.24/10.73  | | | | | BETA: splitting (278) gives:
% 72.24/10.73  | | | | | 
% 72.24/10.73  | | | | | Case 1:
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | |   (279)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1)
% 72.24/10.73  | | | | | |            | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1)
% 72.24/10.73  | | | | | |            | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.24/10.73  | | | | | |            | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1)
% 72.24/10.73  | | | | | |            | (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1)
% 72.24/10.73  | | | | | |            |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 72.24/10.73  | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13
% 72.24/10.73  | | | | | |              = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.24/10.73  | | | | | |            (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1)
% 72.24/10.73  | | | | | |            | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 =
% 72.24/10.73  | | | | | |              e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.24/10.73  | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1)
% 72.24/10.73  | | | | | |            | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 =
% 72.24/10.73  | | | | | |              e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.24/10.73  | | | | | |            (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 =
% 72.24/10.73  | | | | | |              e1) | (all_10_18 = e0 &  ~ (unit = e1))) & ( ~
% 72.24/10.73  | | | | | |            (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) &
% 72.24/10.73  | | | | | |          ( ~ (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) &
% 72.24/10.73  | | | | | |          ( ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.24/10.73  | | | | | |              e1) | (all_10_23 = e0 &  ~ (unit = e1)))
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | | REF_CLOSE: (25), (37), (55), (279) are inconsistent by sub-proof
% 72.24/10.73  | | | | | |            #107.
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | Case 2:
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | |   (280)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0)
% 72.24/10.73  | | | | | |            | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0)
% 72.24/10.73  | | | | | |            | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 72.24/10.73  | | | | | |            | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0)
% 72.24/10.73  | | | | | |            | (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0)
% 72.24/10.73  | | | | | |            |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 72.24/10.73  | | | | | |              e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 72.24/10.73  | | | | | |            (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0)
% 72.24/10.73  | | | | | |            | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 =
% 72.24/10.73  | | | | | |              e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | | |            (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0)
% 72.24/10.73  | | | | | |            | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 =
% 72.24/10.73  | | | | | |              e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | | |            (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))) &
% 72.24/10.73  | | | | | |          ( ~ (all_10_19 = e0) |  ~ (unit = e0)) & ( ~ (all_10_20 =
% 72.24/10.73  | | | | | |              e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 72.24/10.73  | | | | | |            (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & (
% 72.24/10.73  | | | | | |            ~ (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) &
% 72.24/10.73  | | | | | |          ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) &
% 72.24/10.73  | | | | | |          ( ~ (all_10_24 = e0) |  ~ (unit = e0))
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | | REF_CLOSE: (4), (29), (63), (280) are inconsistent by sub-proof
% 72.24/10.73  | | | | | |            #106.
% 72.24/10.73  | | | | | | 
% 72.24/10.73  | | | | | End of split
% 72.24/10.73  | | | | | 
% 72.24/10.73  | | | | End of split
% 72.24/10.73  | | | | 
% 72.24/10.73  | | | End of split
% 72.24/10.73  | | | 
% 72.24/10.73  | | Case 2:
% 72.24/10.73  | | | 
% 72.24/10.73  | | |   (281)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.24/10.73  | | | 
% 72.24/10.73  | | | REF_CLOSE: (12), (17), (22), (36), (68), (71), (281) are inconsistent by
% 72.24/10.73  | | |            sub-proof #109.
% 72.24/10.73  | | | 
% 72.24/10.73  | | End of split
% 72.24/10.73  | | 
% 72.24/10.73  | End of split
% 72.24/10.73  | 
% 72.24/10.73  End of proof
% 72.24/10.73  
% 72.24/10.73  Sub-proof #69 shows that the following formulas are inconsistent:
% 72.24/10.73  ----------------------------------------------------------------
% 72.24/10.73    (1)  all_10_2 = e3 &  ~ (unit = e2)
% 72.24/10.73    (2)  all_10_2 = all_4_10
% 72.24/10.73    (3)   ~ (all_4_10 = e3)
% 72.24/10.73  
% 72.24/10.73  Begin of proof
% 72.24/10.73  | 
% 72.24/10.73  | ALPHA: (1) implies:
% 72.24/10.73  |   (4)  all_10_2 = e3
% 72.24/10.73  | 
% 72.24/10.73  | COMBINE_EQS: (2), (4) imply:
% 72.24/10.73  |   (5)  all_4_10 = e3
% 72.24/10.73  | 
% 72.24/10.73  | SIMP: (5) implies:
% 72.24/10.73  |   (6)  all_4_10 = e3
% 72.24/10.73  | 
% 72.24/10.73  | REDUCE: (3), (6) imply:
% 72.24/10.73  |   (7)  $false
% 72.24/10.73  | 
% 72.24/10.73  | CLOSE: (7) is inconsistent.
% 72.24/10.73  | 
% 72.24/10.73  End of proof
% 72.24/10.73  
% 72.24/10.73  Sub-proof #70 shows that the following formulas are inconsistent:
% 72.24/10.73  ----------------------------------------------------------------
% 72.24/10.73    (1)  all_8_21 = all_4_9
% 72.24/10.73    (2)  all_8_21 = e2
% 72.24/10.73    (3)   ~ (all_4_9 = e2)
% 72.24/10.73  
% 72.24/10.73  Begin of proof
% 72.24/10.73  | 
% 72.24/10.73  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.73  |   (4)  all_4_9 = e2
% 72.24/10.73  | 
% 72.24/10.73  | SIMP: (4) implies:
% 72.24/10.73  |   (5)  all_4_9 = e2
% 72.24/10.73  | 
% 72.24/10.73  | REDUCE: (3), (5) imply:
% 72.24/10.73  |   (6)  $false
% 72.24/10.73  | 
% 72.24/10.73  | CLOSE: (6) is inconsistent.
% 72.24/10.73  | 
% 72.24/10.73  End of proof
% 72.24/10.73  
% 72.24/10.73  Sub-proof #71 shows that the following formulas are inconsistent:
% 72.24/10.73  ----------------------------------------------------------------
% 72.24/10.73    (1)  op(e2, e0) = e2
% 72.24/10.73    (2)  op(e2, e0) = e0
% 72.24/10.73    (3)  op(e4, e0) = e4
% 72.24/10.73    (4)  op(e1, e0) = e1
% 72.24/10.74    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.24/10.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.24/10.74    (6)  op(e4, e0) = e2
% 72.24/10.74    (7)   ~ (e1 = e0)
% 72.24/10.74    (8)  op(e1, e0) = e4
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | GROUND_INST: instantiating (5) with e4, e1, e0, e1, simplifying with (4), (8)
% 72.24/10.74  |              gives:
% 72.24/10.74  |   (9)  e4 = e1
% 72.24/10.74  | 
% 72.24/10.74  | GROUND_INST: instantiating (5) with e0, e2, e0, e2, simplifying with (1), (2)
% 72.24/10.74  |              gives:
% 72.24/10.74  |   (10)  e2 = e0
% 72.24/10.74  | 
% 72.24/10.74  | GROUND_INST: instantiating (5) with e2, e4, e0, e4, simplifying with (3), (6)
% 72.24/10.74  |              gives:
% 72.24/10.74  |   (11)  e4 = e2
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (9), (11) imply:
% 72.24/10.74  |   (12)  e2 = e1
% 72.24/10.74  | 
% 72.24/10.74  | REF_CLOSE: (7), (10), (12) are inconsistent by sub-proof #72.
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #72 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  e2 = e1
% 72.24/10.74    (2)  e2 = e0
% 72.24/10.74    (3)   ~ (e1 = e0)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.74  |   (4)  e1 = e0
% 72.24/10.74  | 
% 72.24/10.74  | SIMP: (4) implies:
% 72.24/10.74  |   (5)  e1 = e0
% 72.24/10.74  | 
% 72.24/10.74  | REDUCE: (3), (5) imply:
% 72.24/10.74  |   (6)  $false
% 72.24/10.74  | 
% 72.24/10.74  | CLOSE: (6) is inconsistent.
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #73 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.24/10.74           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.24/10.74    (2)  op(e1, e0) = e0
% 72.24/10.74    (3)  op(e1, e3) = e3
% 72.24/10.74    (4)   ~ (e1 = e0)
% 72.24/10.74    (5)  op(e1, e4) = e3
% 72.24/10.74    (6)  op(e1, e4) = e4
% 72.24/10.74    (7)  op(e1, e0) = e4
% 72.24/10.74    (8)  op(e1, e3) = e1
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | GROUND_INST: instantiating (1) with e4, e0, e0, e1, simplifying with (2), (7)
% 72.24/10.74  |              gives:
% 72.24/10.74  |   (9)  e4 = e0
% 72.24/10.74  | 
% 72.24/10.74  | GROUND_INST: instantiating (1) with e1, e3, e3, e1, simplifying with (3), (8)
% 72.24/10.74  |              gives:
% 72.24/10.74  |   (10)  e3 = e1
% 72.24/10.74  | 
% 72.24/10.74  | GROUND_INST: instantiating (1) with e3, e4, e4, e1, simplifying with (5), (6)
% 72.24/10.74  |              gives:
% 72.24/10.74  |   (11)  e4 = e3
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (9), (11) imply:
% 72.24/10.74  |   (12)  e3 = e0
% 72.24/10.74  | 
% 72.24/10.74  | SIMP: (12) implies:
% 72.24/10.74  |   (13)  e3 = e0
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (10), (13) imply:
% 72.24/10.74  |   (14)  e1 = e0
% 72.24/10.74  | 
% 72.24/10.74  | REDUCE: (4), (14) imply:
% 72.24/10.74  |   (15)  $false
% 72.24/10.74  | 
% 72.24/10.74  | CLOSE: (15) is inconsistent.
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #74 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  all_8_6 = all_4_2
% 72.24/10.74    (2)   ~ (e3 = e1)
% 72.24/10.74    (3)  all_8_14 = all_4_13
% 72.24/10.74    (4)   ~ (all_4_13 = e1)
% 72.24/10.74    (5)  all_8_13 = e3
% 72.24/10.74    (6)   ~ (all_4_23 = e1)
% 72.24/10.74    (7)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 72.24/10.74         = e1
% 72.24/10.74    (8)  all_8_15 = e0
% 72.24/10.74    (9)   ~ (all_4_3 = e3)
% 72.24/10.74    (10)   ~ (all_4_2 = e3)
% 72.24/10.74    (11)  all_8_20 = all_4_4
% 72.24/10.74    (12)  all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 72.24/10.74    (13)  all_8_19 = all_4_23
% 72.24/10.74    (14)   ~ (e1 = e0)
% 72.24/10.74    (15)  all_8_12 = all_4_3
% 72.24/10.74    (16)   ~ (all_4_4 = e3)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (12) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (17)  all_8_6 = e3
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (1), (17) imply:
% 72.24/10.74  | |   (18)  all_4_2 = e3
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (10), (18) imply:
% 72.24/10.74  | |   (19)  $false
% 72.24/10.74  | | 
% 72.24/10.74  | | CLOSE: (19) is inconsistent.
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (20)  all_8_12 = e3 | all_8_20 = e3
% 72.24/10.74  | | 
% 72.24/10.74  | | BETA: splitting (7) gives:
% 72.24/10.74  | | 
% 72.24/10.74  | | Case 1:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (21)  all_8_12 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | COMBINE_EQS: (15), (21) imply:
% 72.24/10.74  | | |   (22)  all_4_3 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | SIMP: (22) implies:
% 72.24/10.74  | | |   (23)  all_4_3 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REDUCE: (9), (23) imply:
% 72.24/10.74  | | |   (24)   ~ (e3 = e1)
% 72.24/10.74  | | | 
% 72.24/10.74  | | | BETA: splitting (20) gives:
% 72.24/10.74  | | | 
% 72.24/10.74  | | | Case 1:
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | |   (25)  all_8_12 = e3
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | | COMBINE_EQS: (21), (25) imply:
% 72.24/10.74  | | | |   (26)  e3 = e1
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | | REDUCE: (2), (26) imply:
% 72.24/10.74  | | | |   (27)  $false
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | | CLOSE: (27) is inconsistent.
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | Case 2:
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | |   (28)  all_8_20 = e3
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | | REF_CLOSE: (11), (16), (28) are inconsistent by sub-proof #122.
% 72.24/10.74  | | | | 
% 72.24/10.74  | | | End of split
% 72.24/10.74  | | | 
% 72.24/10.74  | | Case 2:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (29)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (13), (14), (29) are inconsistent
% 72.24/10.74  | | |            by sub-proof #108.
% 72.24/10.74  | | | 
% 72.24/10.74  | | End of split
% 72.24/10.74  | | 
% 72.24/10.74  | End of split
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #75 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)   ~ (all_4_20 = e1)
% 72.24/10.74    (2)  all_8_16 = all_4_20
% 72.24/10.74    (3)  all_8_9 = e1 | all_8_16 = e1
% 72.24/10.74    (4)   ~ (e4 = e1)
% 72.24/10.74    (5)  all_8_9 = e4
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (3) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (6)  all_8_9 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #76.
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (7)  all_8_16 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (2), (7) imply:
% 72.24/10.74  | |   (8)  all_4_20 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | SIMP: (8) implies:
% 72.24/10.74  | |   (9)  all_4_20 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (1), (9) imply:
% 72.24/10.74  | |   (10)  $false
% 72.24/10.74  | | 
% 72.24/10.74  | | CLOSE: (10) is inconsistent.
% 72.24/10.74  | | 
% 72.24/10.74  | End of split
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #76 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  all_8_9 = e4
% 72.24/10.74    (2)  all_8_9 = e1
% 72.24/10.74    (3)   ~ (e4 = e1)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.74  |   (4)  e4 = e1
% 72.24/10.74  | 
% 72.24/10.74  | SIMP: (4) implies:
% 72.24/10.74  |   (5)  e4 = e1
% 72.24/10.74  | 
% 72.24/10.74  | REDUCE: (3), (5) imply:
% 72.24/10.74  |   (6)  $false
% 72.24/10.74  | 
% 72.24/10.74  | CLOSE: (6) is inconsistent.
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #77 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  all_8_4 = all_4_10
% 72.24/10.74    (2)  all_8_4 = e1
% 72.24/10.74    (3)   ~ (all_4_10 = e1)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.74  |   (4)  all_4_10 = e1
% 72.24/10.74  | 
% 72.24/10.74  | SIMP: (4) implies:
% 72.24/10.74  |   (5)  all_4_10 = e1
% 72.24/10.74  | 
% 72.24/10.74  | REDUCE: (3), (5) imply:
% 72.24/10.74  |   (6)  $false
% 72.24/10.74  | 
% 72.24/10.74  | CLOSE: (6) is inconsistent.
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #78 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1 =
% 72.24/10.74             e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.24/10.74           (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit = e2)))
% 72.24/10.74         & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5
% 72.24/10.74             = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.24/10.74           (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~ (unit =
% 72.24/10.74             e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 72.24/10.74           (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) & ( ~ (all_10_10 =
% 72.24/10.74             e2) | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 72.24/10.74           (all_10_12 = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit =
% 72.24/10.74             e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & (
% 72.24/10.74           ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 72.24/10.74           (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16
% 72.24/10.74             = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) | 
% 72.24/10.74           ~ (unit = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.24/10.74               e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) &
% 72.24/10.74         ( ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.24/10.74           (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22
% 72.24/10.74             = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~
% 72.24/10.74             (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 72.24/10.74               e2)))
% 72.24/10.74    (2)  all_6_21 = e4 | all_6_21 = e2 | all_6_21 = e1 | all_6_21 = e0
% 72.24/10.74    (3)  all_10_21 = all_4_9
% 72.24/10.74    (4)   ~ (e3 = e0)
% 72.24/10.74    (5)   ~ (all_4_9 = e1)
% 72.24/10.74    (6)  all_10_22 = e0
% 72.24/10.74    (7)  all_6_21 = all_4_9
% 72.24/10.74    (8)   ~ (all_4_9 = e4)
% 72.24/10.74    (9)   ~ (all_4_9 = e0)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | ALPHA: (1) implies:
% 72.24/10.74  |   (10)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (2) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (11)  all_6_21 = e2
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (7), (11) imply:
% 72.24/10.74  | |   (12)  all_4_9 = e2
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (3), (12) imply:
% 72.24/10.74  | |   (13)  all_10_21 = e2
% 72.24/10.74  | | 
% 72.24/10.74  | | REF_CLOSE: (4), (6), (10), (13) are inconsistent by sub-proof #81.
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (14)  all_6_21 = e4 | all_6_21 = e1 | all_6_21 = e0
% 72.24/10.74  | | 
% 72.24/10.74  | | REF_CLOSE: (5), (7), (8), (9), (14) are inconsistent by sub-proof #222.
% 72.24/10.74  | | 
% 72.24/10.74  | End of split
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #79 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  all_8_6 = all_4_2
% 72.24/10.74    (2)   ~ (all_4_2 = all_4_7)
% 72.24/10.74    (3)   ~ (all_4_7 = all_4_22)
% 72.24/10.74    (4)  all_6_20 = e4 | all_6_20 = e1 | all_6_20 = e0
% 72.24/10.74    (5)  all_8_13 = e3
% 72.24/10.74    (6)  all_6_11 = all_4_7
% 72.24/10.74    (7)   ~ (e4 = e0)
% 72.24/10.74    (8)   ~ (all_4_7 = e4)
% 72.24/10.74    (9)  all_8_3 = e4
% 72.24/10.74    (10)   ~ (all_4_2 = all_4_4)
% 72.24/10.74    (11)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.24/10.74          e0
% 72.24/10.74    (12)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.24/10.74          e2
% 72.24/10.74    (13)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 72.24/10.74          e1
% 72.24/10.74    (14)   ~ (e3 = e0)
% 72.24/10.74    (15)   ~ (all_4_4 = e4)
% 72.24/10.74    (16)   ~ (e4 = e2)
% 72.24/10.74    (17)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 72.24/10.74    (18)  all_6_20 = all_4_4
% 72.24/10.74    (19)  all_6_14 = all_4_22
% 72.24/10.74    (20)   ~ (all_4_22 = e1)
% 72.24/10.74    (21)   ~ (all_4_4 = e0)
% 72.24/10.74    (22)  all_8_1 = all_4_5
% 72.24/10.74    (23)   ~ (e3 = e2)
% 72.24/10.74    (24)  all_8_7 = all_4_7
% 72.24/10.74    (25)   ~ (all_4_2 = e4)
% 72.24/10.74    (26)   ~ (all_4_2 = e0)
% 72.24/10.74    (27)   ~ (all_4_9 = e2)
% 72.24/10.74    (28)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.24/10.74    (29)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 72.24/10.74    (30)   ~ (all_4_22 = e4)
% 72.24/10.74    (31)   ~ (all_4_2 = all_4_22)
% 72.24/10.74    (32)  all_6_10 = all_4_2
% 72.24/10.74    (33)   ~ (all_4_9 = e0)
% 72.24/10.74    (34)   ~ (all_4_4 = e2)
% 72.24/10.74    (35)   ~ (e2 = e0)
% 72.24/10.74    (36)  all_8_21 = all_4_9
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (4) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (37)  all_6_20 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (18), (37) imply:
% 72.24/10.74  | |   (38)  all_4_4 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (10), (38) imply:
% 72.24/10.74  | |   (39)   ~ (all_4_2 = e1)
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (34), (38) imply:
% 72.24/10.74  | |   (40)   ~ (e2 = e1)
% 72.24/10.74  | | 
% 72.24/10.74  | | SIMP: (40) implies:
% 72.24/10.74  | |   (41)   ~ (e2 = e1)
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (21), (38) imply:
% 72.24/10.74  | |   (42)   ~ (e1 = e0)
% 72.24/10.74  | | 
% 72.24/10.74  | | BETA: splitting (13) gives:
% 72.24/10.74  | | 
% 72.24/10.74  | | Case 1:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (43)  all_8_6 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REF_CLOSE: (1), (39), (43) are inconsistent by sub-proof #80.
% 72.24/10.74  | | | 
% 72.24/10.74  | | Case 2:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (44)   ~ (all_8_6 = e1)
% 72.24/10.74  | | |   (45)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (9), (11), (12), (14), (16),
% 72.24/10.74  | | |            (17), (19), (20), (22), (23), (24), (25), (26), (27), (28),
% 72.24/10.74  | | |            (29), (30), (31), (32), (33), (35), (36), (39), (41), (42),
% 72.24/10.74  | | |            (45) are inconsistent by sub-proof #83.
% 72.24/10.74  | | | 
% 72.24/10.74  | | End of split
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (46)  all_6_20 = e4 | all_6_20 = e0
% 72.24/10.74  | | 
% 72.24/10.74  | | REF_CLOSE: (15), (18), (21), (46) are inconsistent by sub-proof #130.
% 72.24/10.74  | | 
% 72.24/10.74  | End of split
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #80 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)  all_8_6 = all_4_2
% 72.24/10.74    (2)  all_8_6 = e1
% 72.24/10.74    (3)   ~ (all_4_2 = e1)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | COMBINE_EQS: (1), (2) imply:
% 72.24/10.74  |   (4)  all_4_2 = e1
% 72.24/10.74  | 
% 72.24/10.74  | SIMP: (4) implies:
% 72.24/10.74  |   (5)  all_4_2 = e1
% 72.24/10.74  | 
% 72.24/10.74  | REDUCE: (3), (5) imply:
% 72.24/10.74  |   (6)  $false
% 72.24/10.74  | 
% 72.24/10.74  | CLOSE: (6) is inconsistent.
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #81 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))
% 72.24/10.74    (2)  all_10_21 = e2
% 72.24/10.74    (3)  all_10_22 = e0
% 72.24/10.74    (4)   ~ (e3 = e0)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (1) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (5)   ~ (all_10_21 = e2)
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (2), (5) imply:
% 72.24/10.74  | |   (6)  $false
% 72.24/10.74  | | 
% 72.24/10.74  | | CLOSE: (6) is inconsistent.
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (7)  all_10_22 = e3 &  ~ (unit = e2)
% 72.24/10.74  | | 
% 72.24/10.74  | | ALPHA: (7) implies:
% 72.24/10.74  | |   (8)  all_10_22 = e3
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (3), (8) imply:
% 72.24/10.74  | |   (9)  e3 = e0
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (4), (9) imply:
% 72.24/10.74  | |   (10)  $false
% 72.24/10.74  | | 
% 72.24/10.74  | | CLOSE: (10) is inconsistent.
% 72.24/10.74  | | 
% 72.24/10.74  | End of split
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #82 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)   ~ (e3 = e1)
% 72.24/10.74    (2)  all_8_24 = e4
% 72.24/10.74    (3)  all_8_23 = e3
% 72.24/10.74    (4)  all_8_22 = e0
% 72.24/10.74    (5)  all_8_22 = e1 | all_8_23 = e1 | all_8_24 = e1
% 72.24/10.74    (6)   ~ (e1 = e0)
% 72.24/10.74    (7)   ~ (e4 = e1)
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (5) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (8)  all_8_22 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | COMBINE_EQS: (4), (8) imply:
% 72.24/10.74  | |   (9)  e1 = e0
% 72.24/10.74  | | 
% 72.24/10.74  | | SIMP: (9) implies:
% 72.24/10.74  | |   (10)  e1 = e0
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (6), (10) imply:
% 72.24/10.74  | |   (11)  $false
% 72.24/10.74  | | 
% 72.24/10.74  | | CLOSE: (11) is inconsistent.
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (12)  all_8_23 = e1 | all_8_24 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | BETA: splitting (12) gives:
% 72.24/10.74  | | 
% 72.24/10.74  | | Case 1:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (13)  all_8_23 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | COMBINE_EQS: (3), (13) imply:
% 72.24/10.74  | | |   (14)  e3 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REDUCE: (1), (14) imply:
% 72.24/10.74  | | |   (15)  $false
% 72.24/10.74  | | | 
% 72.24/10.74  | | | CLOSE: (15) is inconsistent.
% 72.24/10.74  | | | 
% 72.24/10.74  | | Case 2:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (16)  all_8_24 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | COMBINE_EQS: (2), (16) imply:
% 72.24/10.74  | | |   (17)  e4 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | SIMP: (17) implies:
% 72.24/10.74  | | |   (18)  e4 = e1
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REDUCE: (7), (18) imply:
% 72.24/10.74  | | |   (19)  $false
% 72.24/10.74  | | | 
% 72.24/10.74  | | | CLOSE: (19) is inconsistent.
% 72.24/10.74  | | | 
% 72.24/10.74  | | End of split
% 72.24/10.74  | | 
% 72.24/10.74  | End of split
% 72.24/10.74  | 
% 72.24/10.74  End of proof
% 72.24/10.74  
% 72.24/10.74  Sub-proof #83 shows that the following formulas are inconsistent:
% 72.24/10.74  ----------------------------------------------------------------
% 72.24/10.74    (1)   ~ (all_4_2 = all_4_7)
% 72.24/10.74    (2)   ~ (all_4_7 = all_4_22)
% 72.24/10.74    (3)   ~ (all_4_2 = e1)
% 72.24/10.74    (4)  all_8_13 = e3
% 72.24/10.74    (5)  all_6_11 = all_4_7
% 72.24/10.74    (6)   ~ (e4 = e0)
% 72.24/10.74    (7)   ~ (all_4_7 = e4)
% 72.24/10.74    (8)  all_8_3 = e4
% 72.24/10.74    (9)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.24/10.74         e0
% 72.24/10.74    (10)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.24/10.74          e2
% 72.24/10.74    (11)   ~ (e3 = e0)
% 72.24/10.74    (12)   ~ (e4 = e2)
% 72.24/10.74    (13)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 72.24/10.74    (14)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 72.24/10.74    (15)  all_6_14 = all_4_22
% 72.24/10.74    (16)   ~ (all_4_22 = e1)
% 72.24/10.74    (17)  all_8_1 = all_4_5
% 72.24/10.74    (18)   ~ (e3 = e2)
% 72.24/10.74    (19)  all_8_7 = all_4_7
% 72.24/10.74    (20)   ~ (e1 = e0)
% 72.24/10.74    (21)   ~ (all_4_2 = e4)
% 72.24/10.74    (22)   ~ (all_4_2 = e0)
% 72.24/10.74    (23)   ~ (all_4_9 = e2)
% 72.24/10.74    (24)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.24/10.74    (25)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 72.24/10.74    (26)   ~ (all_4_22 = e4)
% 72.24/10.74    (27)   ~ (e2 = e1)
% 72.24/10.74    (28)   ~ (all_4_2 = all_4_22)
% 72.24/10.74    (29)  all_6_10 = all_4_2
% 72.24/10.74    (30)   ~ (all_4_9 = e0)
% 72.24/10.74    (31)   ~ (e2 = e0)
% 72.24/10.74    (32)  all_8_21 = all_4_9
% 72.24/10.74  
% 72.24/10.74  Begin of proof
% 72.24/10.74  | 
% 72.24/10.74  | BETA: splitting (14) gives:
% 72.24/10.74  | 
% 72.24/10.74  | Case 1:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (33)  all_8_7 = e1
% 72.24/10.74  | | 
% 72.24/10.74  | | REF_CLOSE: (4), (6), (8), (9), (10), (11), (12), (17), (18), (20), (23),
% 72.24/10.74  | |            (27), (30), (31), (32), (33) are inconsistent by sub-proof #84.
% 72.24/10.74  | | 
% 72.24/10.74  | Case 2:
% 72.24/10.74  | | 
% 72.24/10.74  | |   (34)   ~ (all_8_7 = e1)
% 72.24/10.74  | | 
% 72.24/10.74  | | REDUCE: (19), (34) imply:
% 72.24/10.74  | |   (35)   ~ (all_4_7 = e1)
% 72.24/10.74  | | 
% 72.24/10.74  | | BETA: splitting (13) gives:
% 72.24/10.74  | | 
% 72.24/10.74  | | Case 1:
% 72.24/10.74  | | | 
% 72.24/10.74  | | |   (36)  all_6_10 = e2
% 72.24/10.74  | | | 
% 72.24/10.74  | | | COMBINE_EQS: (29), (36) imply:
% 72.24/10.74  | | |   (37)  all_4_2 = e2
% 72.24/10.74  | | | 
% 72.24/10.74  | | | SIMP: (37) implies:
% 72.24/10.74  | | |   (38)  all_4_2 = e2
% 72.24/10.74  | | | 
% 72.24/10.74  | | | REDUCE: (1), (38) imply:
% 72.24/10.75  | | |   (39)   ~ (all_4_7 = e2)
% 72.24/10.75  | | | 
% 72.24/10.75  | | | SIMP: (39) implies:
% 72.24/10.75  | | |   (40)   ~ (all_4_7 = e2)
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REDUCE: (28), (38) imply:
% 72.24/10.75  | | |   (41)   ~ (all_4_22 = e2)
% 72.24/10.75  | | | 
% 72.24/10.75  | | | SIMP: (41) implies:
% 72.24/10.75  | | |   (42)   ~ (all_4_22 = e2)
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REF_CLOSE: (2), (5), (7), (15), (16), (24), (25), (26), (35), (40), (42)
% 72.24/10.75  | | |            are inconsistent by sub-proof #86.
% 72.24/10.75  | | | 
% 72.24/10.75  | | Case 2:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (43)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REF_CLOSE: (3), (21), (22), (29), (43) are inconsistent by sub-proof #235.
% 72.24/10.75  | | | 
% 72.24/10.75  | | End of split
% 72.24/10.75  | | 
% 72.24/10.75  | End of split
% 72.24/10.75  | 
% 72.24/10.75  End of proof
% 72.24/10.75  
% 72.24/10.75  Sub-proof #84 shows that the following formulas are inconsistent:
% 72.24/10.75  ----------------------------------------------------------------
% 72.24/10.75    (1)  all_8_13 = e3
% 72.24/10.75    (2)   ~ (e4 = e0)
% 72.24/10.75    (3)  all_8_3 = e4
% 72.24/10.75    (4)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.24/10.75         e0
% 72.24/10.75    (5)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 =
% 72.24/10.75         e2
% 72.24/10.75    (6)   ~ (e3 = e0)
% 72.24/10.75    (7)  all_8_7 = e1
% 72.24/10.75    (8)   ~ (e4 = e2)
% 72.24/10.75    (9)  all_8_1 = all_4_5
% 72.24/10.75    (10)   ~ (e3 = e2)
% 72.24/10.75    (11)   ~ (e1 = e0)
% 72.24/10.75    (12)   ~ (all_4_9 = e2)
% 72.24/10.75    (13)   ~ (e2 = e1)
% 72.24/10.75    (14)   ~ (all_4_9 = e0)
% 72.24/10.75    (15)   ~ (e2 = e0)
% 72.24/10.75    (16)  all_8_21 = all_4_9
% 72.24/10.75  
% 72.24/10.75  Begin of proof
% 72.24/10.75  | 
% 72.24/10.75  | BETA: splitting (5) gives:
% 72.24/10.75  | 
% 72.24/10.75  | Case 1:
% 72.24/10.75  | | 
% 72.24/10.75  | |   (17)  all_8_1 = e2
% 72.24/10.75  | | 
% 72.24/10.75  | | COMBINE_EQS: (9), (17) imply:
% 72.24/10.75  | |   (18)  all_4_5 = e2
% 72.24/10.75  | | 
% 72.24/10.75  | | BETA: splitting (4) gives:
% 72.24/10.75  | | 
% 72.24/10.75  | | Case 1:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (19)  all_8_1 = e0
% 72.24/10.75  | | | 
% 72.24/10.75  | | | COMBINE_EQS: (17), (19) imply:
% 72.24/10.75  | | |   (20)  e2 = e0
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REDUCE: (15), (20) imply:
% 72.24/10.75  | | |   (21)  $false
% 72.24/10.75  | | | 
% 72.24/10.75  | | | CLOSE: (21) is inconsistent.
% 72.24/10.75  | | | 
% 72.24/10.75  | | Case 2:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (22)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REF_CLOSE: (1), (2), (3), (6), (7), (11), (14), (16), (22) are
% 72.24/10.75  | | |            inconsistent by sub-proof #257.
% 72.24/10.75  | | | 
% 72.24/10.75  | | End of split
% 72.24/10.75  | | 
% 72.24/10.75  | Case 2:
% 72.24/10.75  | | 
% 72.24/10.75  | |   (23)  all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.24/10.75  | | 
% 72.24/10.75  | | REF_CLOSE: (1), (3), (7), (8), (10), (12), (13), (16), (23) are inconsistent
% 72.24/10.75  | |            by sub-proof #85.
% 72.24/10.75  | | 
% 72.24/10.75  | End of split
% 72.24/10.75  | 
% 72.24/10.75  End of proof
% 72.24/10.75  
% 72.24/10.75  Sub-proof #85 shows that the following formulas are inconsistent:
% 72.24/10.75  ----------------------------------------------------------------
% 72.24/10.75    (1)  all_8_13 = e3
% 72.24/10.75    (2)  all_8_3 = e4
% 72.24/10.75    (3)  all_8_7 = e1
% 72.24/10.75    (4)   ~ (e4 = e2)
% 72.24/10.75    (5)  all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.24/10.75    (6)   ~ (e3 = e2)
% 72.24/10.75    (7)   ~ (all_4_9 = e2)
% 72.24/10.75    (8)   ~ (e2 = e1)
% 72.24/10.75    (9)  all_8_21 = all_4_9
% 72.24/10.75  
% 72.24/10.75  Begin of proof
% 72.24/10.75  | 
% 72.24/10.75  | BETA: splitting (5) gives:
% 72.24/10.75  | 
% 72.24/10.75  | Case 1:
% 72.24/10.75  | | 
% 72.24/10.75  | |   (10)  all_8_3 = e2
% 72.24/10.75  | | 
% 72.24/10.75  | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #275.
% 72.24/10.75  | | 
% 72.24/10.75  | Case 2:
% 72.24/10.75  | | 
% 72.24/10.75  | |   (11)  all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.24/10.75  | | 
% 72.24/10.75  | | BETA: splitting (11) gives:
% 72.24/10.75  | | 
% 72.24/10.75  | | Case 1:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (12)  all_8_7 = e2
% 72.24/10.75  | | | 
% 72.24/10.75  | | | COMBINE_EQS: (3), (12) imply:
% 72.24/10.75  | | |   (13)  e2 = e1
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REDUCE: (8), (13) imply:
% 72.24/10.75  | | |   (14)  $false
% 72.24/10.75  | | | 
% 72.24/10.75  | | | CLOSE: (14) is inconsistent.
% 72.24/10.75  | | | 
% 72.24/10.75  | | Case 2:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (15)  all_8_13 = e2 | all_8_21 = e2
% 72.24/10.75  | | | 
% 72.24/10.75  | | | BETA: splitting (15) gives:
% 72.24/10.75  | | | 
% 72.24/10.75  | | | Case 1:
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | |   (16)  all_8_13 = e2
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | REF_CLOSE: (1), (6), (16) are inconsistent by sub-proof #89.
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | Case 2:
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | |   (17)  all_8_21 = e2
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | COMBINE_EQS: (9), (17) imply:
% 72.24/10.75  | | | |   (18)  all_4_9 = e2
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | REDUCE: (7), (18) imply:
% 72.24/10.75  | | | |   (19)  $false
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | CLOSE: (19) is inconsistent.
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | End of split
% 72.24/10.75  | | | 
% 72.24/10.75  | | End of split
% 72.24/10.75  | | 
% 72.24/10.75  | End of split
% 72.24/10.75  | 
% 72.24/10.75  End of proof
% 72.24/10.75  
% 72.24/10.75  Sub-proof #86 shows that the following formulas are inconsistent:
% 72.24/10.75  ----------------------------------------------------------------
% 72.24/10.75    (1)   ~ (all_4_7 = all_4_22)
% 72.24/10.75    (2)  all_6_11 = all_4_7
% 72.24/10.75    (3)   ~ (all_4_7 = e4)
% 72.24/10.75    (4)   ~ (all_4_7 = e2)
% 72.24/10.75    (5)  all_6_14 = all_4_22
% 72.24/10.75    (6)   ~ (all_4_22 = e1)
% 72.24/10.75    (7)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.24/10.75    (8)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0
% 72.24/10.75    (9)   ~ (all_4_22 = e4)
% 72.24/10.75    (10)   ~ (all_4_7 = e1)
% 72.24/10.75    (11)   ~ (all_4_22 = e2)
% 72.24/10.75  
% 72.24/10.75  Begin of proof
% 72.24/10.75  | 
% 72.24/10.75  | BETA: splitting (7) gives:
% 72.24/10.75  | 
% 72.24/10.75  | Case 1:
% 72.24/10.75  | | 
% 72.24/10.75  | |   (12)  all_6_11 = e2
% 72.24/10.75  | | 
% 72.24/10.75  | | REF_CLOSE: (2), (4), (12) are inconsistent by sub-proof #103.
% 72.24/10.75  | | 
% 72.24/10.75  | Case 2:
% 72.24/10.75  | | 
% 72.24/10.75  | |   (13)  all_6_11 = e4 | all_6_11 = e1 | all_6_11 = e0
% 72.24/10.75  | | 
% 72.24/10.75  | | BETA: splitting (8) gives:
% 72.24/10.75  | | 
% 72.24/10.75  | | Case 1:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (14)  all_6_14 = e2
% 72.24/10.75  | | | 
% 72.24/10.75  | | | COMBINE_EQS: (5), (14) imply:
% 72.24/10.75  | | |   (15)  all_4_22 = e2
% 72.24/10.75  | | | 
% 72.24/10.75  | | | SIMP: (15) implies:
% 72.24/10.75  | | |   (16)  all_4_22 = e2
% 72.24/10.75  | | | 
% 72.24/10.75  | | | REDUCE: (11), (16) imply:
% 72.24/10.75  | | |   (17)  $false
% 72.24/10.75  | | | 
% 72.24/10.75  | | | CLOSE: (17) is inconsistent.
% 72.24/10.75  | | | 
% 72.24/10.75  | | Case 2:
% 72.24/10.75  | | | 
% 72.24/10.75  | | |   (18)  all_6_14 = e4 | all_6_14 = e1 | all_6_14 = e0
% 72.24/10.75  | | | 
% 72.24/10.75  | | | BETA: splitting (18) gives:
% 72.24/10.75  | | | 
% 72.24/10.75  | | | Case 1:
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | |   (19)  all_6_14 = e1
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | COMBINE_EQS: (5), (19) imply:
% 72.24/10.75  | | | |   (20)  all_4_22 = e1
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | SIMP: (20) implies:
% 72.24/10.75  | | | |   (21)  all_4_22 = e1
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | REDUCE: (6), (21) imply:
% 72.24/10.75  | | | |   (22)  $false
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | | CLOSE: (22) is inconsistent.
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | Case 2:
% 72.24/10.75  | | | | 
% 72.24/10.75  | | | |   (23)  all_6_14 = e4 | all_6_14 = e0
% 72.24/10.75  | | | | 
% 72.47/10.75  | | | | BETA: splitting (23) gives:
% 72.47/10.75  | | | | 
% 72.47/10.75  | | | | Case 1:
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | |   (24)  all_6_14 = e4
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | COMBINE_EQS: (5), (24) imply:
% 72.47/10.75  | | | | |   (25)  all_4_22 = e4
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | SIMP: (25) implies:
% 72.47/10.75  | | | | |   (26)  all_4_22 = e4
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | REDUCE: (9), (26) imply:
% 72.47/10.75  | | | | |   (27)  $false
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | CLOSE: (27) is inconsistent.
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | Case 2:
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | |   (28)  all_6_14 = e0
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | COMBINE_EQS: (5), (28) imply:
% 72.47/10.75  | | | | |   (29)  all_4_22 = e0
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | SIMP: (29) implies:
% 72.47/10.75  | | | | |   (30)  all_4_22 = e0
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | REDUCE: (1), (30) imply:
% 72.47/10.75  | | | | |   (31)   ~ (all_4_7 = e0)
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | | REF_CLOSE: (2), (3), (10), (13), (31) are inconsistent by sub-proof
% 72.47/10.75  | | | | |            #131.
% 72.47/10.75  | | | | | 
% 72.47/10.75  | | | | End of split
% 72.47/10.75  | | | | 
% 72.47/10.75  | | | End of split
% 72.47/10.75  | | | 
% 72.47/10.75  | | End of split
% 72.47/10.75  | | 
% 72.47/10.75  | End of split
% 72.47/10.75  | 
% 72.47/10.75  End of proof
% 72.47/10.75  
% 72.47/10.75  Sub-proof #87 shows that the following formulas are inconsistent:
% 72.47/10.75  ----------------------------------------------------------------
% 72.47/10.75    (1)  all_8_21 = all_4_9
% 72.47/10.75    (2)  all_8_21 = e4
% 72.47/10.75    (3)   ~ (all_4_9 = e4)
% 72.47/10.75  
% 72.47/10.75  Begin of proof
% 72.47/10.75  | 
% 72.47/10.75  | COMBINE_EQS: (1), (2) imply:
% 72.47/10.75  |   (4)  all_4_9 = e4
% 72.47/10.75  | 
% 72.47/10.75  | SIMP: (4) implies:
% 72.47/10.75  |   (5)  all_4_9 = e4
% 72.47/10.75  | 
% 72.47/10.75  | REDUCE: (3), (5) imply:
% 72.47/10.75  |   (6)  $false
% 72.47/10.75  | 
% 72.47/10.75  | CLOSE: (6) is inconsistent.
% 72.47/10.75  | 
% 72.47/10.75  End of proof
% 72.47/10.75  
% 72.47/10.75  Sub-proof #88 shows that the following formulas are inconsistent:
% 72.47/10.75  ----------------------------------------------------------------
% 72.47/10.75    (1)  all_8_20 = all_4_4
% 72.47/10.75    (2)  all_8_20 = e4
% 72.47/10.75    (3)   ~ (all_4_4 = e4)
% 72.47/10.75  
% 72.47/10.75  Begin of proof
% 72.47/10.75  | 
% 72.47/10.75  | COMBINE_EQS: (1), (2) imply:
% 72.47/10.75  |   (4)  all_4_4 = e4
% 72.47/10.75  | 
% 72.47/10.75  | SIMP: (4) implies:
% 72.47/10.75  |   (5)  all_4_4 = e4
% 72.47/10.75  | 
% 72.47/10.75  | REDUCE: (3), (5) imply:
% 72.47/10.75  |   (6)  $false
% 72.47/10.75  | 
% 72.47/10.75  | CLOSE: (6) is inconsistent.
% 72.47/10.75  | 
% 72.47/10.75  End of proof
% 72.47/10.75  
% 72.47/10.75  Sub-proof #89 shows that the following formulas are inconsistent:
% 72.47/10.75  ----------------------------------------------------------------
% 72.47/10.75    (1)  all_8_13 = e3
% 72.47/10.75    (2)  all_8_13 = e2
% 72.47/10.75    (3)   ~ (e3 = e2)
% 72.47/10.75  
% 72.47/10.75  Begin of proof
% 72.47/10.75  | 
% 72.47/10.75  | COMBINE_EQS: (1), (2) imply:
% 72.47/10.75  |   (4)  e3 = e2
% 72.47/10.75  | 
% 72.47/10.75  | SIMP: (4) implies:
% 72.47/10.75  |   (5)  e3 = e2
% 72.47/10.75  | 
% 72.47/10.75  | REDUCE: (3), (5) imply:
% 72.47/10.75  |   (6)  $false
% 72.47/10.75  | 
% 72.47/10.75  | CLOSE: (6) is inconsistent.
% 72.47/10.75  | 
% 72.47/10.75  End of proof
% 72.47/10.75  
% 72.47/10.75  Sub-proof #90 shows that the following formulas are inconsistent:
% 72.47/10.75  ----------------------------------------------------------------
% 72.47/10.75    (1)  op(e0, e1) = e3
% 72.47/10.75    (2)  op(e2, unit) = e2
% 72.47/10.75    (3)   ~ (all_4_7 = all_4_22)
% 72.47/10.75    (4)  all_8_17 = e3
% 72.47/10.75    (5)  op(e4, e1) = e1
% 72.47/10.75    (6)  op(unit, e3) = e3
% 72.47/10.75    (7)  all_6_11 = all_4_7
% 72.47/10.75    (8)   ~ (e4 = e0)
% 72.47/10.75    (9)   ~ (all_4_7 = e4)
% 72.47/10.75    (10)  op(e3, e1) = e2
% 72.47/10.75    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.47/10.75            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.47/10.75    (12)   ~ (e3 = e0)
% 72.47/10.75    (13)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 72.47/10.75    (14)  op(e0, unit) = e0
% 72.47/10.75    (15)  op(e3, e2) = e1
% 72.47/10.75    (16)  all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 72.47/10.75    (17)   ~ (all_4_22 = e1)
% 72.47/10.75    (18)  op(e2, e0) = all_4_22
% 72.47/10.75    (19)   ~ (e1 = e0)
% 72.47/10.75    (20)  op(e4, unit) = e4
% 72.47/10.75    (21)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.47/10.75    (22)  op(e2, e4) = e1
% 72.47/10.75    (23)  op(e2, e1) = e4
% 72.47/10.75    (24)  all_8_19 = e1
% 72.47/10.75    (25)  op(e2, e3) = all_4_7
% 72.47/10.75    (26)  op(e3, unit) = e3
% 72.47/10.75    (27)  all_8_18 = all_4_22
% 72.47/10.75    (28)   ~ (all_4_7 = e1)
% 72.47/10.75    (29)  all_8_16 = e4
% 72.47/10.75  
% 72.47/10.75  Begin of proof
% 72.47/10.75  | 
% 72.47/10.75  | BETA: splitting (16) gives:
% 72.47/10.75  | 
% 72.47/10.75  | Case 1:
% 72.47/10.75  | | 
% 72.47/10.75  | |   (30)  all_8_16 = e0
% 72.47/10.75  | | 
% 72.47/10.75  | | COMBINE_EQS: (29), (30) imply:
% 72.47/10.75  | |   (31)  e4 = e0
% 72.47/10.75  | | 
% 72.47/10.75  | | SIMP: (31) implies:
% 72.47/10.75  | |   (32)  e4 = e0
% 72.47/10.75  | | 
% 72.47/10.75  | | REDUCE: (8), (32) imply:
% 72.47/10.75  | |   (33)  $false
% 72.47/10.75  | | 
% 72.47/10.75  | | CLOSE: (33) is inconsistent.
% 72.47/10.75  | | 
% 72.47/10.75  | Case 2:
% 72.47/10.75  | | 
% 72.47/10.75  | |   (34)  all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 72.47/10.75  | | 
% 72.47/10.75  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 72.47/10.75  | |            (14), (15), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 72.47/10.75  | |            (26), (27), (28), (34) are inconsistent by sub-proof #91.
% 72.47/10.75  | | 
% 72.47/10.75  | End of split
% 72.47/10.75  | 
% 72.47/10.75  End of proof
% 72.47/10.75  
% 72.47/10.75  Sub-proof #91 shows that the following formulas are inconsistent:
% 72.47/10.75  ----------------------------------------------------------------
% 72.47/10.75    (1)  op(e0, e1) = e3
% 72.47/10.75    (2)  op(e2, unit) = e2
% 72.47/10.75    (3)   ~ (all_4_7 = all_4_22)
% 72.47/10.76    (4)  all_8_17 = e3
% 72.47/10.76    (5)  op(e4, e1) = e1
% 72.47/10.76    (6)  op(unit, e3) = e3
% 72.47/10.76    (7)  all_6_11 = all_4_7
% 72.47/10.76    (8)   ~ (all_4_7 = e4)
% 72.47/10.76    (9)  all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 72.47/10.76    (10)  op(e3, e1) = e2
% 72.52/10.76    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.52/10.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.52/10.76    (12)   ~ (e3 = e0)
% 72.52/10.76    (13)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 72.52/10.76    (14)  op(e0, unit) = e0
% 72.52/10.76    (15)  op(e3, e2) = e1
% 72.52/10.76    (16)   ~ (all_4_22 = e1)
% 72.52/10.76    (17)  op(e2, e0) = all_4_22
% 72.52/10.76    (18)   ~ (e1 = e0)
% 72.52/10.76    (19)  op(e4, unit) = e4
% 72.52/10.76    (20)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.52/10.76    (21)  op(e2, e4) = e1
% 72.52/10.76    (22)  op(e2, e1) = e4
% 72.52/10.76    (23)  all_8_19 = e1
% 72.52/10.76    (24)  op(e2, e3) = all_4_7
% 72.52/10.76    (25)  op(e3, unit) = e3
% 72.52/10.76    (26)  all_8_18 = all_4_22
% 72.52/10.76    (27)   ~ (all_4_7 = e1)
% 72.52/10.76  
% 72.52/10.76  Begin of proof
% 72.52/10.76  | 
% 72.52/10.76  | BETA: splitting (9) gives:
% 72.52/10.76  | 
% 72.52/10.76  | Case 1:
% 72.52/10.76  | | 
% 72.52/10.76  | |   (28)  all_8_17 = e0
% 72.52/10.76  | | 
% 72.52/10.76  | | REF_CLOSE: (4), (12), (28) are inconsistent by sub-proof #115.
% 72.52/10.76  | | 
% 72.52/10.76  | Case 2:
% 72.52/10.76  | | 
% 72.52/10.76  | |   (29)  all_8_18 = e0 | all_8_19 = e0
% 72.52/10.76  | | 
% 72.52/10.76  | | BETA: splitting (29) gives:
% 72.52/10.76  | | 
% 72.52/10.76  | | Case 1:
% 72.52/10.76  | | | 
% 72.52/10.76  | | |   (30)  all_8_18 = e0
% 72.52/10.76  | | | 
% 72.52/10.76  | | | COMBINE_EQS: (26), (30) imply:
% 72.52/10.76  | | |   (31)  all_4_22 = e0
% 72.52/10.76  | | | 
% 72.52/10.76  | | | SIMP: (31) implies:
% 72.52/10.76  | | |   (32)  all_4_22 = e0
% 72.52/10.76  | | | 
% 72.52/10.76  | | | REDUCE: (3), (32) imply:
% 72.52/10.76  | | |   (33)   ~ (all_4_7 = e0)
% 72.52/10.76  | | | 
% 72.52/10.77  | | | REDUCE: (16), (32) imply:
% 72.52/10.77  | | |   (34)   ~ (e1 = e0)
% 72.52/10.77  | | | 
% 72.52/10.77  | | | REDUCE: (17), (32) imply:
% 72.52/10.77  | | |   (35)  op(e2, e0) = e0
% 72.52/10.77  | | | 
% 72.52/10.77  | | | BETA: splitting (20) gives:
% 72.52/10.77  | | | 
% 72.52/10.77  | | | Case 1:
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | |   (36)  all_6_11 = e2
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | COMBINE_EQS: (7), (36) imply:
% 72.52/10.77  | | | |   (37)  all_4_7 = e2
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | SIMP: (37) implies:
% 72.52/10.77  | | | |   (38)  all_4_7 = e2
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | REDUCE: (27), (38) imply:
% 72.52/10.77  | | | |   (39)   ~ (e2 = e1)
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | REDUCE: (24), (38) imply:
% 72.52/10.77  | | | |   (40)  op(e2, e3) = e2
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | BETA: splitting (13) gives:
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | Case 1:
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | |   (41)  unit = e2
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | | REDUCE: (6), (41) imply:
% 72.52/10.77  | | | | |   (42)  op(e2, e3) = e3
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | | REDUCE: (25), (41) imply:
% 72.52/10.77  | | | | |   (43)  op(e3, e2) = e3
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | | REF_CLOSE: (11), (15), (39), (40), (42), (43) are inconsistent by
% 72.52/10.77  | | | | |            sub-proof #134.
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | Case 2:
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | |   (44)   ~ (unit = e2)
% 72.52/10.77  | | | | |   (45)  unit = e4 | unit = e1 | unit = e0
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | | BETA: splitting (45) gives:
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | | Case 1:
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | |   (46)  unit = e1
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | REDUCE: (19), (46) imply:
% 72.52/10.77  | | | | | |   (47)  op(e4, e1) = e4
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | REDUCE: (25), (46) imply:
% 72.52/10.77  | | | | | |   (48)  op(e3, e1) = e3
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | REDUCE: (2), (46) imply:
% 72.52/10.77  | | | | | |   (49)  op(e2, e1) = e2
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | REDUCE: (14), (46) imply:
% 72.52/10.77  | | | | | |   (50)  op(e0, e1) = e0
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | REF_CLOSE: (1), (5), (10), (11), (18), (22), (47), (48), (49), (50)
% 72.52/10.77  | | | | | |            are inconsistent by sub-proof #92.
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | Case 2:
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | |   (51)  unit = e4 | unit = e0
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | BETA: splitting (51) gives:
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | | Case 1:
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | |   (52)  unit = e4
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | REDUCE: (2), (52) imply:
% 72.52/10.77  | | | | | | |   (53)  op(e2, e4) = e2
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | GROUND_INST: instantiating (11) with e1, e2, e4, e2, simplifying
% 72.52/10.77  | | | | | | |              with (21), (53) gives:
% 72.52/10.77  | | | | | | |   (54)  e2 = e1
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | REDUCE: (39), (54) imply:
% 72.52/10.77  | | | | | | |   (55)  $false
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | CLOSE: (55) is inconsistent.
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | Case 2:
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | |   (56)  unit = e0
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | REDUCE: (44), (56) imply:
% 72.52/10.77  | | | | | | |   (57)   ~ (e2 = e0)
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | SIMP: (57) implies:
% 72.52/10.77  | | | | | | |   (58)   ~ (e2 = e0)
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | REDUCE: (2), (56) imply:
% 72.52/10.77  | | | | | | |   (59)  op(e2, e0) = e2
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | GROUND_INST: instantiating (11) with e0, e2, e0, e2, simplifying
% 72.52/10.77  | | | | | | |              with (35), (59) gives:
% 72.52/10.77  | | | | | | |   (60)  e2 = e0
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | REDUCE: (58), (60) imply:
% 72.52/10.77  | | | | | | |   (61)  $false
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | | CLOSE: (61) is inconsistent.
% 72.52/10.77  | | | | | | | 
% 72.52/10.77  | | | | | | End of split
% 72.52/10.77  | | | | | | 
% 72.52/10.77  | | | | | End of split
% 72.52/10.77  | | | | | 
% 72.52/10.77  | | | | End of split
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | Case 2:
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | |   (62)  all_6_11 = e4 | all_6_11 = e1 | all_6_11 = e0
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | | REF_CLOSE: (7), (8), (27), (33), (62) are inconsistent by sub-proof
% 72.52/10.77  | | | |            #131.
% 72.52/10.77  | | | | 
% 72.52/10.77  | | | End of split
% 72.52/10.77  | | | 
% 72.52/10.77  | | Case 2:
% 72.52/10.77  | | | 
% 72.52/10.77  | | |   (63)  all_8_19 = e0
% 72.52/10.77  | | | 
% 72.52/10.77  | | | COMBINE_EQS: (23), (63) imply:
% 72.52/10.77  | | |   (64)  e1 = e0
% 72.52/10.77  | | | 
% 72.52/10.77  | | | SIMP: (64) implies:
% 72.52/10.77  | | |   (65)  e1 = e0
% 72.52/10.77  | | | 
% 72.52/10.77  | | | REDUCE: (18), (65) imply:
% 72.52/10.77  | | |   (66)  $false
% 72.52/10.77  | | | 
% 72.52/10.77  | | | CLOSE: (66) is inconsistent.
% 72.52/10.77  | | | 
% 72.52/10.77  | | End of split
% 72.52/10.77  | | 
% 72.52/10.77  | End of split
% 72.52/10.77  | 
% 72.52/10.77  End of proof
% 72.52/10.77  
% 72.52/10.77  Sub-proof #92 shows that the following formulas are inconsistent:
% 72.52/10.77  ----------------------------------------------------------------
% 72.52/10.77    (1)  op(e0, e1) = e3
% 72.52/10.77    (2)  op(e2, e1) = e2
% 72.52/10.77    (3)  op(e4, e1) = e1
% 72.52/10.77    (4)  op(e3, e1) = e3
% 72.52/10.77    (5)  op(e3, e1) = e2
% 72.52/10.77    (6)  op(e4, e1) = e4
% 72.52/10.77    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.52/10.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.52/10.77    (8)  op(e0, e1) = e0
% 72.52/10.77    (9)   ~ (e1 = e0)
% 72.52/10.77    (10)  op(e2, e1) = e4
% 72.52/10.77  
% 72.52/10.77  Begin of proof
% 72.52/10.77  | 
% 72.52/10.77  | GROUND_INST: instantiating (7) with e3, e0, e1, e0, simplifying with (1), (8)
% 72.52/10.77  |              gives:
% 72.52/10.77  |   (11)  e3 = e0
% 72.52/10.77  | 
% 72.52/10.77  | GROUND_INST: instantiating (7) with e4, e2, e1, e2, simplifying with (2), (10)
% 72.52/10.77  |              gives:
% 72.52/10.77  |   (12)  e4 = e2
% 72.52/10.77  | 
% 72.52/10.77  | GROUND_INST: instantiating (7) with e2, e3, e1, e3, simplifying with (4), (5)
% 72.52/10.77  |              gives:
% 72.52/10.77  |   (13)  e3 = e2
% 72.52/10.77  | 
% 72.52/10.77  | GROUND_INST: instantiating (7) with e1, e4, e1, e4, simplifying with (3), (6)
% 72.52/10.77  |              gives:
% 72.52/10.77  |   (14)  e4 = e1
% 72.52/10.77  | 
% 72.52/10.77  | COMBINE_EQS: (12), (14) imply:
% 72.52/10.77  |   (15)  e2 = e1
% 72.52/10.77  | 
% 72.52/10.77  | SIMP: (15) implies:
% 72.52/10.77  |   (16)  e2 = e1
% 72.52/10.77  | 
% 72.52/10.77  | COMBINE_EQS: (11), (13) imply:
% 72.52/10.77  |   (17)  e2 = e0
% 72.52/10.77  | 
% 72.52/10.77  | COMBINE_EQS: (16), (17) imply:
% 72.52/10.77  |   (18)  e1 = e0
% 72.52/10.77  | 
% 72.52/10.77  | REDUCE: (9), (18) imply:
% 72.52/10.77  |   (19)  $false
% 72.52/10.77  | 
% 72.52/10.77  | CLOSE: (19) is inconsistent.
% 72.52/10.77  | 
% 72.52/10.77  End of proof
% 72.52/10.77  
% 72.52/10.77  Sub-proof #93 shows that the following formulas are inconsistent:
% 72.52/10.77  ----------------------------------------------------------------
% 72.52/10.77    (1)  all_6_10 = all_4_2
% 72.52/10.77    (2)  all_6_10 = e2
% 72.52/10.77    (3)   ~ (all_4_2 = e2)
% 72.52/10.77  
% 72.52/10.77  Begin of proof
% 72.52/10.77  | 
% 72.52/10.77  | COMBINE_EQS: (1), (2) imply:
% 72.52/10.77  |   (4)  all_4_2 = e2
% 72.52/10.77  | 
% 72.52/10.77  | SIMP: (4) implies:
% 72.52/10.77  |   (5)  all_4_2 = e2
% 72.52/10.77  | 
% 72.52/10.77  | REDUCE: (3), (5) imply:
% 72.52/10.77  |   (6)  $false
% 72.52/10.77  | 
% 72.52/10.77  | CLOSE: (6) is inconsistent.
% 72.52/10.77  | 
% 72.52/10.77  End of proof
% 72.52/10.77  
% 72.52/10.77  Sub-proof #94 shows that the following formulas are inconsistent:
% 72.52/10.77  ----------------------------------------------------------------
% 72.52/10.77    (1)  all_6_13 = all_4_17
% 72.52/10.77    (2)  all_6_13 = e1
% 72.52/10.77    (3)   ~ (all_4_17 = e1)
% 72.52/10.77  
% 72.52/10.77  Begin of proof
% 72.52/10.77  | 
% 72.52/10.77  | COMBINE_EQS: (1), (2) imply:
% 72.52/10.77  |   (4)  all_4_17 = e1
% 72.52/10.77  | 
% 72.52/10.77  | SIMP: (4) implies:
% 72.52/10.77  |   (5)  all_4_17 = e1
% 72.52/10.77  | 
% 72.52/10.77  | REDUCE: (3), (5) imply:
% 72.52/10.77  |   (6)  $false
% 72.52/10.77  | 
% 72.52/10.77  | CLOSE: (6) is inconsistent.
% 72.52/10.77  | 
% 72.52/10.77  End of proof
% 72.52/10.77  
% 72.52/10.77  Sub-proof #95 shows that the following formulas are inconsistent:
% 72.52/10.77  ----------------------------------------------------------------
% 72.52/10.77    (1)   ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))
% 72.52/10.77    (2)  all_10_20 = e2
% 72.52/10.77    (3)  all_10_22 = e0
% 72.52/10.77    (4)   ~ (e4 = e0)
% 72.52/10.77  
% 72.52/10.77  Begin of proof
% 72.52/10.77  | 
% 72.52/10.77  | BETA: splitting (1) gives:
% 72.52/10.77  | 
% 72.52/10.77  | Case 1:
% 72.52/10.77  | | 
% 72.52/10.77  | |   (5)   ~ (all_10_20 = e2)
% 72.52/10.77  | | 
% 72.52/10.77  | | REDUCE: (2), (5) imply:
% 72.52/10.77  | |   (6)  $false
% 72.52/10.77  | | 
% 72.52/10.77  | | CLOSE: (6) is inconsistent.
% 72.52/10.77  | | 
% 72.52/10.77  | Case 2:
% 72.52/10.77  | | 
% 72.52/10.77  | |   (7)  all_10_22 = e4 &  ~ (unit = e2)
% 72.52/10.77  | | 
% 72.52/10.77  | | ALPHA: (7) implies:
% 72.52/10.77  | |   (8)  all_10_22 = e4
% 72.52/10.77  | | 
% 72.52/10.77  | | COMBINE_EQS: (3), (8) imply:
% 72.52/10.77  | |   (9)  e4 = e0
% 72.52/10.77  | | 
% 72.52/10.77  | | SIMP: (9) implies:
% 72.52/10.77  | |   (10)  e4 = e0
% 72.52/10.77  | | 
% 72.52/10.77  | | REDUCE: (4), (10) imply:
% 72.52/10.77  | |   (11)  $false
% 72.52/10.77  | | 
% 72.52/10.77  | | CLOSE: (11) is inconsistent.
% 72.52/10.77  | | 
% 72.52/10.77  | End of split
% 72.52/10.77  | 
% 72.52/10.77  End of proof
% 72.52/10.77  
% 72.52/10.77  Sub-proof #96 shows that the following formulas are inconsistent:
% 72.52/10.77  ----------------------------------------------------------------
% 72.52/10.77    (1)  all_8_9 = all_4_15
% 72.52/10.77    (2)  all_6_3 = e4 | all_6_3 = e1 | all_6_3 = e0
% 72.52/10.77    (3)   ~ (all_4_15 = e0)
% 72.52/10.77    (4)   ~ (all_4_15 = e1)
% 72.52/10.77    (5)  all_6_3 = all_4_15
% 72.52/10.77    (6)   ~ (all_8_9 = e4)
% 72.52/10.77  
% 72.52/10.77  Begin of proof
% 72.52/10.77  | 
% 72.52/10.77  | REDUCE: (1), (6) imply:
% 72.52/10.77  |   (7)   ~ (all_4_15 = e4)
% 72.52/10.77  | 
% 72.52/10.77  | BETA: splitting (2) gives:
% 72.52/10.77  | 
% 72.52/10.77  | Case 1:
% 72.52/10.77  | | 
% 72.52/10.77  | |   (8)  all_6_3 = e1
% 72.52/10.77  | | 
% 72.52/10.77  | | COMBINE_EQS: (5), (8) imply:
% 72.52/10.77  | |   (9)  all_4_15 = e1
% 72.52/10.77  | | 
% 72.52/10.77  | | REDUCE: (4), (9) imply:
% 72.52/10.77  | |   (10)  $false
% 72.52/10.77  | | 
% 72.52/10.77  | | CLOSE: (10) is inconsistent.
% 72.52/10.77  | | 
% 72.52/10.77  | Case 2:
% 72.52/10.77  | | 
% 72.52/10.77  | |   (11)  all_6_3 = e4 | all_6_3 = e0
% 72.52/10.77  | | 
% 72.52/10.78  | | REF_CLOSE: (3), (5), (7), (11) are inconsistent by sub-proof #97.
% 72.52/10.78  | | 
% 72.52/10.78  | End of split
% 72.52/10.78  | 
% 72.52/10.78  End of proof
% 72.52/10.78  
% 72.52/10.78  Sub-proof #97 shows that the following formulas are inconsistent:
% 72.52/10.78  ----------------------------------------------------------------
% 72.52/10.78    (1)  all_6_3 = e4 | all_6_3 = e0
% 72.52/10.78    (2)  all_6_3 = all_4_15
% 72.52/10.78    (3)   ~ (all_4_15 = e4)
% 72.52/10.78    (4)   ~ (all_4_15 = e0)
% 72.52/10.78  
% 72.52/10.78  Begin of proof
% 72.52/10.78  | 
% 72.52/10.78  | BETA: splitting (1) gives:
% 72.52/10.78  | 
% 72.52/10.78  | Case 1:
% 72.52/10.78  | | 
% 72.52/10.78  | |   (5)  all_6_3 = e4
% 72.52/10.78  | | 
% 72.52/10.78  | | COMBINE_EQS: (2), (5) imply:
% 72.52/10.78  | |   (6)  all_4_15 = e4
% 72.52/10.78  | | 
% 72.52/10.78  | | REDUCE: (3), (6) imply:
% 72.52/10.78  | |   (7)  $false
% 72.52/10.78  | | 
% 72.52/10.78  | | CLOSE: (7) is inconsistent.
% 72.52/10.78  | | 
% 72.52/10.78  | Case 2:
% 72.52/10.78  | | 
% 72.52/10.78  | |   (8)  all_6_3 = e0
% 72.52/10.78  | | 
% 72.52/10.78  | | COMBINE_EQS: (2), (8) imply:
% 72.52/10.78  | |   (9)  all_4_15 = e0
% 72.52/10.78  | | 
% 72.52/10.78  | | REDUCE: (4), (9) imply:
% 72.52/10.78  | |   (10)  $false
% 72.52/10.78  | | 
% 72.52/10.78  | | CLOSE: (10) is inconsistent.
% 72.52/10.78  | | 
% 72.52/10.78  | End of split
% 72.52/10.78  | 
% 72.52/10.78  End of proof
% 72.52/10.78  
% 72.52/10.78  Sub-proof #98 shows that the following formulas are inconsistent:
% 72.52/10.78  ----------------------------------------------------------------
% 72.52/10.78    (1)  e3 = e1
% 72.52/10.78    (2)  e3 = e0
% 72.52/10.78    (3)   ~ (e1 = e0)
% 72.52/10.78  
% 72.52/10.78  Begin of proof
% 72.52/10.78  | 
% 72.52/10.78  | COMBINE_EQS: (1), (2) imply:
% 72.52/10.78  |   (4)  e1 = e0
% 72.52/10.78  | 
% 72.52/10.78  | SIMP: (4) implies:
% 72.52/10.78  |   (5)  e1 = e0
% 72.52/10.78  | 
% 72.52/10.78  | REDUCE: (3), (5) imply:
% 72.52/10.78  |   (6)  $false
% 72.52/10.78  | 
% 72.52/10.78  | CLOSE: (6) is inconsistent.
% 72.52/10.78  | 
% 72.52/10.78  End of proof
% 72.52/10.78  
% 72.52/10.78  Sub-proof #99 shows that the following formulas are inconsistent:
% 72.52/10.78  ----------------------------------------------------------------
% 72.52/10.78    (1)  op(e0, e1) = e3
% 72.52/10.78    (2)  op(e2, e1) = e2
% 72.52/10.78    (3)  op(e3, e1) = e3
% 72.52/10.78    (4)  op(e3, e1) = e2
% 72.52/10.78    (5)  op(e2, e1) = e1
% 72.52/10.78    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.52/10.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.52/10.78    (7)  op(e0, e1) = e0
% 72.52/10.78    (8)   ~ (e1 = e0)
% 72.52/10.78  
% 72.52/10.78  Begin of proof
% 72.52/10.78  | 
% 72.52/10.78  | GROUND_INST: instantiating (6) with e3, e0, e1, e0, simplifying with (1), (7)
% 72.52/10.78  |              gives:
% 72.52/10.78  |   (9)  e3 = e0
% 72.52/10.78  | 
% 72.52/10.78  | GROUND_INST: instantiating (6) with e1, e2, e1, e2, simplifying with (2), (5)
% 72.52/10.78  |              gives:
% 72.52/10.78  |   (10)  e2 = e1
% 72.52/10.78  | 
% 72.52/10.78  | GROUND_INST: instantiating (6) with e2, e3, e1, e3, simplifying with (3), (4)
% 72.52/10.78  |              gives:
% 72.52/10.78  |   (11)  e3 = e2
% 72.52/10.78  | 
% 72.52/10.78  | COMBINE_EQS: (9), (11) imply:
% 72.52/10.78  |   (12)  e2 = e0
% 72.52/10.78  | 
% 72.52/10.78  | SIMP: (12) implies:
% 72.52/10.78  |   (13)  e2 = e0
% 72.52/10.78  | 
% 72.52/10.78  | COMBINE_EQS: (10), (13) imply:
% 72.52/10.78  |   (14)  e1 = e0
% 72.52/10.78  | 
% 72.52/10.78  | REDUCE: (8), (14) imply:
% 72.52/10.78  |   (15)  $false
% 72.52/10.78  | 
% 72.52/10.78  | CLOSE: (15) is inconsistent.
% 72.52/10.78  | 
% 72.52/10.78  End of proof
% 72.52/10.78  
% 72.52/10.78  Sub-proof #100 shows that the following formulas are inconsistent:
% 72.52/10.78  ----------------------------------------------------------------
% 72.52/10.78    (1)  all_6_3 = all_4_15
% 72.52/10.78    (2)  all_6_3 = e2
% 72.52/10.78    (3)   ~ (all_4_15 = e2)
% 72.52/10.78  
% 72.52/10.78  Begin of proof
% 72.52/10.78  | 
% 72.52/10.78  | COMBINE_EQS: (1), (2) imply:
% 72.52/10.78  |   (4)  all_4_15 = e2
% 72.52/10.78  | 
% 72.52/10.78  | SIMP: (4) implies:
% 72.52/10.78  |   (5)  all_4_15 = e2
% 72.52/10.78  | 
% 72.52/10.78  | REDUCE: (3), (5) imply:
% 72.52/10.78  |   (6)  $false
% 72.52/10.78  | 
% 72.52/10.78  | CLOSE: (6) is inconsistent.
% 72.52/10.78  | 
% 72.52/10.78  End of proof
% 72.52/10.78  
% 72.52/10.78  Sub-proof #101 shows that the following formulas are inconsistent:
% 72.52/10.78  ----------------------------------------------------------------
% 72.52/10.78    (1)   ~ (all_4_2 = all_4_7)
% 72.52/10.78    (2)  all_10_9 = e3
% 72.52/10.78    (3)  all_10_6 = e4
% 72.52/10.78    (4)   ~ (all_4_5 = e1)
% 72.52/10.78    (5)  all_8_10 = e2
% 72.52/10.78    (6)  all_6_1 = all_4_5
% 72.52/10.78    (7)   ~ (all_4_5 = e4)
% 72.52/10.78    (8)  all_6_11 = all_4_7
% 72.52/10.78    (9)   ~ (e4 = e0)
% 72.52/10.78    (10)  all_8_23 = e3
% 72.52/10.78    (11)  all_10_5 = e0
% 72.52/10.78    (12)  all_10_13 = all_4_17
% 72.52/10.78    (13)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.52/10.78                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.52/10.78                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.52/10.78                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.52/10.78                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.52/10.78                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.52/10.78              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.52/10.78                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.52/10.78                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.52/10.78              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.52/10.78              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.52/10.78              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.52/10.78              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.52/10.78              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.52/10.78              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.52/10.78              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.52/10.78              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.52/10.78              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.52/10.78                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.52/10.78            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.52/10.78              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.52/10.78              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.52/10.78              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.52/10.78                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.52/10.78                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.52/10.78                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.52/10.78                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.52/10.78            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.52/10.78              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.52/10.78                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.52/10.78                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.52/10.78                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.52/10.78              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.52/10.78              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.78              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.52/10.78              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.52/10.78              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.52/10.78              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.52/10.78              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.52/10.78              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.52/10.78              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.52/10.78                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.52/10.78            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.78              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.52/10.78              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.52/10.78                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.52/10.78              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.52/10.78                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.52/10.78            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.52/10.78              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.52/10.78                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.52/10.78                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.52/10.78                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.52/10.78                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.52/10.78                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.52/10.78                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.52/10.78              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.52/10.78              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.52/10.78              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.52/10.78                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.52/10.78            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.52/10.78              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.52/10.78              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.52/10.78              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.52/10.78              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.52/10.78              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.52/10.78              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.52/10.78                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.52/10.78                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.78              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.52/10.78                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.52/10.78              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.52/10.78                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.52/10.78            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.52/10.78              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.52/10.78              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.52/10.78              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.52/10.78              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.52/10.78                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.52/10.78            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.78              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.52/10.78              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.52/10.78              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.52/10.78                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.52/10.78                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.52/10.78                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.52/10.78                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.52/10.78              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.52/10.78                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.52/10.78                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.78              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.52/10.78              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.52/10.78              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.52/10.78              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.52/10.78              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.52/10.78                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.52/10.78            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.78              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.52/10.78    (14)  all_8_15 = e0
% 72.52/10.78    (15)   ~ (e3 = e0)
% 72.52/10.78    (16)   ~ (all_4_17 = e0)
% 72.52/10.78    (17)   ~ (all_4_2 = e3)
% 72.52/10.78    (18)  all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23
% 72.52/10.78          = e4
% 72.52/10.78    (19)  all_8_11 = all_4_17
% 72.52/10.78    (20)   ~ (all_4_2 = all_4_17)
% 72.52/10.78    (21)   ~ (all_4_17 = e3)
% 72.52/10.78    (22)   ~ (e4 = e3)
% 72.52/10.78    (23)  all_10_11 = all_4_7
% 72.52/10.78    (24)   ~ (all_4_2 = e0)
% 72.52/10.78    (25)   ~ (all_4_5 = all_4_7)
% 72.52/10.78    (26)  all_6_11 = e4 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 72.52/10.78    (27)   ~ (all_4_7 = all_4_17)
% 72.52/10.78    (28)  all_6_10 = all_4_2
% 72.52/10.78    (29)  all_10_10 = all_4_2
% 72.52/10.78    (30)   ~ (all_4_5 = e0)
% 72.52/10.78    (31)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 72.52/10.78    (32)  all_8_9 = e1
% 72.52/10.78    (33)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 | all_6_10
% 72.52/10.78          = e0
% 72.52/10.78    (34)   ~ (e4 = e1)
% 72.52/10.78    (35)   ~ (all_4_7 = e0)
% 72.52/10.78    (36)  all_10_12 = e3
% 72.52/10.78  
% 72.52/10.78  Begin of proof
% 72.52/10.78  | 
% 72.52/10.78  | BETA: splitting (31) gives:
% 72.52/10.78  | 
% 72.52/10.78  | Case 1:
% 72.52/10.78  | | 
% 72.52/10.78  | |   (37)  all_6_1 = e2
% 72.52/10.78  | | 
% 72.52/10.79  | | COMBINE_EQS: (6), (37) imply:
% 72.52/10.79  | |   (38)  all_4_5 = e2
% 72.52/10.79  | | 
% 72.52/10.79  | | SIMP: (38) implies:
% 72.52/10.79  | |   (39)  all_4_5 = e2
% 72.52/10.79  | | 
% 72.52/10.79  | | REDUCE: (25), (39) imply:
% 72.52/10.79  | |   (40)   ~ (all_4_7 = e2)
% 72.52/10.79  | | 
% 72.52/10.79  | | SIMP: (40) implies:
% 72.52/10.79  | |   (41)   ~ (all_4_7 = e2)
% 72.52/10.79  | | 
% 72.52/10.79  | | REDUCE: (7), (39) imply:
% 72.52/10.79  | |   (42)   ~ (e4 = e2)
% 72.52/10.79  | | 
% 72.52/10.79  | | SIMP: (42) implies:
% 72.52/10.79  | |   (43)   ~ (e4 = e2)
% 72.52/10.79  | | 
% 72.52/10.79  | | BETA: splitting (18) gives:
% 72.52/10.79  | | 
% 72.52/10.79  | | Case 1:
% 72.52/10.79  | | | 
% 72.52/10.79  | | |   (44)  all_8_9 = e4
% 72.52/10.79  | | | 
% 72.52/10.79  | | | COMBINE_EQS: (32), (44) imply:
% 72.52/10.79  | | |   (45)  e4 = e1
% 72.52/10.79  | | | 
% 72.52/10.79  | | | REDUCE: (34), (45) imply:
% 72.52/10.79  | | |   (46)  $false
% 72.52/10.79  | | | 
% 72.52/10.79  | | | CLOSE: (46) is inconsistent.
% 72.52/10.79  | | | 
% 72.52/10.79  | | Case 2:
% 72.52/10.79  | | | 
% 72.52/10.79  | | |   (47)  all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 72.52/10.79  | | | 
% 72.52/10.79  | | | BETA: splitting (47) gives:
% 72.52/10.79  | | | 
% 72.52/10.79  | | | Case 1:
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | |   (48)  all_8_10 = e4
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | | COMBINE_EQS: (5), (48) imply:
% 72.52/10.79  | | | |   (49)  e4 = e2
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | | REDUCE: (43), (49) imply:
% 72.52/10.79  | | | |   (50)  $false
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | | CLOSE: (50) is inconsistent.
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | Case 2:
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | |   (51)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | | BETA: splitting (51) gives:
% 72.52/10.79  | | | | 
% 72.52/10.79  | | | | Case 1:
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | |   (52)  all_8_11 = e4
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | COMBINE_EQS: (19), (52) imply:
% 72.52/10.79  | | | | |   (53)  all_4_17 = e4
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | SIMP: (53) implies:
% 72.52/10.79  | | | | |   (54)  all_4_17 = e4
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | COMBINE_EQS: (12), (54) imply:
% 72.52/10.79  | | | | |   (55)  all_10_13 = e4
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | REDUCE: (20), (54) imply:
% 72.52/10.79  | | | | |   (56)   ~ (all_4_2 = e4)
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | REDUCE: (27), (54) imply:
% 72.52/10.79  | | | | |   (57)   ~ (all_4_7 = e4)
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | BETA: splitting (26) gives:
% 72.52/10.79  | | | | | 
% 72.52/10.79  | | | | | Case 1:
% 72.52/10.79  | | | | | | 
% 72.52/10.79  | | | | | |   (58)  all_6_11 = e2
% 72.52/10.79  | | | | | | 
% 72.52/10.79  | | | | | | REF_CLOSE: (8), (41), (58) are inconsistent by sub-proof #103.
% 72.52/10.79  | | | | | | 
% 72.52/10.79  | | | | | Case 2:
% 72.52/10.79  | | | | | | 
% 72.52/10.79  | | | | | |   (59)  all_6_11 = e4 | all_6_11 = e1 | all_6_11 = e0
% 72.52/10.79  | | | | | | 
% 72.52/10.79  | | | | | | BETA: splitting (59) gives:
% 72.52/10.79  | | | | | | 
% 72.52/10.79  | | | | | | Case 1:
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | |   (60)  all_6_11 = e1
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | | COMBINE_EQS: (8), (60) imply:
% 72.52/10.79  | | | | | | |   (61)  all_4_7 = e1
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | | SIMP: (61) implies:
% 72.52/10.79  | | | | | | |   (62)  all_4_7 = e1
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | | COMBINE_EQS: (23), (62) imply:
% 72.52/10.79  | | | | | | |   (63)  all_10_11 = e1
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | | REDUCE: (1), (62) imply:
% 72.52/10.79  | | | | | | |   (64)   ~ (all_4_2 = e1)
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | | BETA: splitting (33) gives:
% 72.52/10.79  | | | | | | | 
% 72.52/10.79  | | | | | | | Case 1:
% 72.52/10.79  | | | | | | | | 
% 72.52/10.79  | | | | | | | |   (65)  all_6_10 = e3
% 72.52/10.79  | | | | | | | | 
% 72.52/10.79  | | | | | | | | REF_CLOSE: (17), (28), (65) are inconsistent by sub-proof #240.
% 72.52/10.79  | | | | | | | | 
% 72.52/10.79  | | | | | | | Case 2:
% 72.52/10.79  | | | | | | | | 
% 72.52/10.79  | | | | | | | |   (66)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 | all_6_10
% 72.52/10.79  | | | | | | | |         = e0
% 72.52/10.79  | | | | | | | | 
% 72.52/10.79  | | | | | | | | BETA: splitting (66) gives:
% 72.52/10.79  | | | | | | | | 
% 72.52/10.79  | | | | | | | | Case 1:
% 72.52/10.79  | | | | | | | | | 
% 72.52/10.79  | | | | | | | | |   (67)  all_6_10 = e2
% 72.52/10.79  | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | COMBINE_EQS: (28), (67) imply:
% 72.52/10.79  | | | | | | | | |   (68)  all_4_2 = e2
% 72.52/10.79  | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | SIMP: (68) implies:
% 72.52/10.79  | | | | | | | | |   (69)  all_4_2 = e2
% 72.52/10.79  | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | COMBINE_EQS: (29), (69) imply:
% 72.52/10.79  | | | | | | | | |   (70)  all_10_10 = e2
% 72.52/10.79  | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | BETA: splitting (13) gives:
% 72.52/10.79  | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | Case 1:
% 72.52/10.79  | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | |   (71)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 72.52/10.79  | | | | | | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 & 
% 72.52/10.79  | | | | | | | | | |               ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.52/10.79  | | | | | | | | | |             (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~
% 72.52/10.79  | | | | | | | | | |             (unit = e4)) & ( ~ (all_10_11 = e4) | (all_10_10
% 72.52/10.79  | | | | | | | | | |               = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4)
% 72.52/10.79  | | | | | | | | | |             | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 72.52/10.79  | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 72.52/10.79  | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.52/10.79  | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 72.52/10.79  | | | | | | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.52/10.79  | | | | | | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 72.52/10.79  | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.52/10.79  | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e4)))) | (( ~ (all_10_0 = e3) | (all_10_1 =
% 72.52/10.79  | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) | 
% 72.52/10.79  | | | | | | | | | |             ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1
% 72.52/10.79  | | | | | | | | | |               = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 72.52/10.79  | | | | | | | | | |             | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~
% 72.52/10.79  | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 =
% 72.52/10.79  | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 72.52/10.79  | | | | | | | | | |             (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 72.52/10.79  | | | | | | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |
% 72.52/10.79  | | | | | | | | | |              ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 72.52/10.79  | | | | | | | | | |             (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 72.52/10.79  | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 72.52/10.79  | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 72.52/10.79  | | | | | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.52/10.79  | | | | | | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 72.52/10.79  | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e3))))
% 72.52/10.79  | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | | REF_CLOSE: (2), (3), (9), (11), (15), (71) are inconsistent
% 72.52/10.79  | | | | | | | | | |            by sub-proof #117.
% 72.52/10.79  | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | Case 2:
% 72.52/10.79  | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | |   (72)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.52/10.79  | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 72.52/10.79  | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.52/10.79  | | | | | | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 72.52/10.79  | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 72.52/10.79  | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 72.52/10.79  | | | | | | | | | |             (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 72.52/10.79  | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 72.52/10.79  | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 72.52/10.79  | | | | | | | | | |             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 72.52/10.79  | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.52/10.79  | | | | | | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 72.52/10.79  | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.52/10.79  | | | | | | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.52/10.79  | | | | | | | | | |             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 72.52/10.79  | | | | | | | | | |             (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.52/10.79  | | | | | | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 72.52/10.79  | | | | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.52/10.79  | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 72.52/10.79  | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 72.52/10.79  | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.52/10.79  | | | | | | | | | |             (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 72.52/10.79  | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.52/10.79  | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 72.52/10.79  | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.52/10.79  | | | | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4
% 72.52/10.79  | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 72.52/10.79  | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.52/10.79  | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 72.52/10.79  | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 72.52/10.79  | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.52/10.79  | | | | | | | | | |             (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.79  | | | | | | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | |               e0)))
% 72.52/10.79  | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | | BETA: splitting (72) gives:
% 72.52/10.79  | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | | Case 1:
% 72.52/10.79  | | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | | |   (73)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |               e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 72.52/10.79  | | | | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.52/10.79  | | | | | | | | | | |           (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 72.52/10.79  | | | | | | | | | | |             e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.52/10.79  | | | | | | | | | | |           (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | | |           (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |               e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 72.52/10.79  | | | | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 72.52/10.79  | | | | | | | | | | |           (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 72.52/10.79  | | | | | | | | | | |             e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 72.52/10.79  | | | | | | | | | | |           (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | | |           (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |               e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 72.52/10.79  | | | | | | | | | | |             e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 72.52/10.79  | | | | | | | | | | |            ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 72.52/10.79  | | | | | | | | | | |           (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | | |           (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |               e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 72.52/10.79  | | | | | | | | | | |             e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.52/10.79  | | | | | | | | | | |           (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | | |           (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 72.52/10.79  | | | | | | | | | | |           (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |               e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 72.52/10.79  | | | | | | | | | | |             e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.52/10.79  | | | | | | | | | | |           (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.52/10.79  | | | | | | | | | | |           (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |               e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 72.52/10.79  | | | | | | | | | | |             e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 72.52/10.79  | | | | | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.52/10.79  | | | | | | | | | | |           (all_10_22 = e0 &  ~ (unit = e2)))
% 72.52/10.79  | | | | | | | | | | | 
% 72.52/10.79  | | | | | | | | | | | ALPHA: (73) implies:
% 72.52/10.79  | | | | | | | | | | |   (74)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |             e2))
% 72.52/10.80  | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | REF_CLOSE: (22), (36), (70), (74) are inconsistent by
% 72.52/10.80  | | | | | | | | | | |            sub-proof #102.
% 72.52/10.80  | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | Case 2:
% 72.52/10.80  | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | |   (75)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 72.52/10.80  | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 72.52/10.80  | | | | | | | | | | |             | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |                 e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 72.52/10.80  | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 72.52/10.80  | | | | | | | | | | |             | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |                 e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |               e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 72.52/10.80  | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e1))) & ( ~ (all_10_12 = e1) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e1))) & ( ~ (all_10_15 = e1) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e1))) & ( ~ (all_10_17 = e1) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e1))) & ( ~ (all_10_20 = e1) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e1))) & ( ~ (all_10_22 = e1) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e1)))) | (( ~ (all_10_0 = e0) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |                 e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 72.52/10.80  | | | | | | | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 72.52/10.80  | | | | | | | | | | |             | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |                 e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 72.52/10.80  | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 72.52/10.80  | | | | | | | | | | |             | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |                 e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 72.52/10.80  | | | | | | | | | | |               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 72.52/10.80  | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 72.52/10.80  | | | | | | | | | | |             | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e0))) & ( ~ (all_10_13 = e0) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e0))) & ( ~ (all_10_16 = e0) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e0))) & ( ~ (all_10_18 = e0) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e0))) & ( ~ (all_10_21 = e0) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 72.52/10.80  | | | | | | | | | | |                 = e0))) & ( ~ (all_10_23 = e0) |
% 72.52/10.80  | | | | | | | | | | |             (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | |             (all_10_24 = e0) |  ~ (unit = e0)))
% 72.52/10.80  | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | BETA: splitting (75) gives:
% 72.52/10.80  | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | Case 1:
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | |   (76)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 72.52/10.80  | | | | | | | | | | | |             &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 72.52/10.80  | | | | | | | | | | | |             &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |             e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 72.52/10.80  | | | | | | | | | | | |             ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 72.52/10.80  | | | | | | | | | | | |             e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 72.52/10.80  | | | | | | | | | | | |            ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 72.52/10.80  | | | | | | | | | | | |             e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 72.52/10.80  | | | | | | | | | | | |             e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |             e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 72.52/10.80  | | | | | | | | | | | |             &  ~ (unit = e1)))
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | ALPHA: (76) implies:
% 72.52/10.80  | | | | | | | | | | | |   (77)   ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |             e1))
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | BETA: splitting (77) gives:
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | Case 1:
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | |   (78)   ~ (all_10_11 = e1)
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | | REDUCE: (63), (78) imply:
% 72.52/10.80  | | | | | | | | | | | | |   (79)  $false
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | | CLOSE: (79) is inconsistent.
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | Case 2:
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | |   (80)  all_10_13 = e3 &  ~ (unit = e1)
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | | ALPHA: (80) implies:
% 72.52/10.80  | | | | | | | | | | | | |   (81)  all_10_13 = e3
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | | COMBINE_EQS: (55), (81) imply:
% 72.52/10.80  | | | | | | | | | | | | |   (82)  e4 = e3
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | | REDUCE: (22), (82) imply:
% 72.52/10.80  | | | | | | | | | | | | |   (83)  $false
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | | CLOSE: (83) is inconsistent.
% 72.52/10.80  | | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | End of split
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | Case 2:
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | |   (84)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 72.52/10.80  | | | | | | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |             e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 72.52/10.80  | | | | | | | | | | | |             ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 72.52/10.80  | | | | | | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 72.52/10.80  | | | | | | | | | | | |           (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 72.52/10.80  | | | | | | | | | | | |             = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 72.52/10.80  | | | | | | | | | | | |           | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 72.52/10.80  | | | | | | | | | | | |             e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 72.52/10.80  | | | | | | | | | | | |            ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 72.52/10.80  | | | | | | | | | | | |             e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 72.52/10.80  | | | | | | | | | | | |             e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.52/10.80  | | | | | | | | | | | |           (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.80  | | | | | | | | | | | |           (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |               e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 72.52/10.80  | | | | | | | | | | | |             e0))
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | | REF_CLOSE: (2), (11), (22), (84) are inconsistent by
% 72.52/10.80  | | | | | | | | | | | |            sub-proof #106.
% 72.52/10.80  | | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | | End of split
% 72.52/10.80  | | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | | End of split
% 72.52/10.80  | | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | End of split
% 72.52/10.80  | | | | | | | | | 
% 72.52/10.80  | | | | | | | | Case 2:
% 72.52/10.80  | | | | | | | | | 
% 72.52/10.80  | | | | | | | | |   (85)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 72.52/10.80  | | | | | | | | | 
% 72.52/10.80  | | | | | | | | | REF_CLOSE: (24), (28), (56), (64), (85) are inconsistent by
% 72.52/10.80  | | | | | | | | |            sub-proof #235.
% 72.52/10.80  | | | | | | | | | 
% 72.52/10.80  | | | | | | | | End of split
% 72.52/10.80  | | | | | | | | 
% 72.52/10.80  | | | | | | | End of split
% 72.52/10.80  | | | | | | | 
% 72.52/10.80  | | | | | | Case 2:
% 72.52/10.80  | | | | | | | 
% 72.52/10.80  | | | | | | |   (86)  all_6_11 = e4 | all_6_11 = e0
% 72.52/10.80  | | | | | | | 
% 72.52/10.80  | | | | | | | REF_CLOSE: (8), (35), (57), (86) are inconsistent by sub-proof
% 72.52/10.80  | | | | | | |            #132.
% 72.52/10.80  | | | | | | | 
% 72.52/10.80  | | | | | | End of split
% 72.52/10.80  | | | | | | 
% 72.52/10.80  | | | | | End of split
% 72.52/10.80  | | | | | 
% 72.52/10.80  | | | | Case 2:
% 72.52/10.80  | | | | | 
% 72.52/10.80  | | | | |   (87)  all_8_15 = e4 | all_8_23 = e4
% 72.52/10.80  | | | | | 
% 72.52/10.80  | | | | | REF_CLOSE: (9), (10), (14), (22), (87) are inconsistent by sub-proof
% 72.52/10.80  | | | | |            #250.
% 72.52/10.80  | | | | | 
% 72.52/10.80  | | | | End of split
% 72.52/10.80  | | | | 
% 72.52/10.80  | | | End of split
% 72.52/10.80  | | | 
% 72.52/10.80  | | End of split
% 72.52/10.80  | | 
% 72.52/10.80  | Case 2:
% 72.52/10.80  | | 
% 72.52/10.80  | |   (88)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 72.52/10.80  | | 
% 72.52/10.80  | | REF_CLOSE: (4), (6), (7), (30), (88) are inconsistent by sub-proof #227.
% 72.52/10.80  | | 
% 72.52/10.80  | End of split
% 72.52/10.80  | 
% 72.52/10.80  End of proof
% 72.52/10.80  
% 72.52/10.80  Sub-proof #102 shows that the following formulas are inconsistent:
% 72.52/10.80  ----------------------------------------------------------------
% 72.52/10.80    (1)   ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))
% 72.52/10.80    (2)  all_10_10 = e2
% 72.52/10.80    (3)  all_10_12 = e3
% 72.52/10.80    (4)   ~ (e4 = e3)
% 72.52/10.80  
% 72.52/10.80  Begin of proof
% 72.52/10.80  | 
% 72.52/10.80  | BETA: splitting (1) gives:
% 72.52/10.80  | 
% 72.52/10.80  | Case 1:
% 72.52/10.80  | | 
% 72.52/10.80  | |   (5)   ~ (all_10_10 = e2)
% 72.52/10.80  | | 
% 72.52/10.80  | | REDUCE: (2), (5) imply:
% 72.52/10.80  | |   (6)  $false
% 72.52/10.80  | | 
% 72.52/10.80  | | CLOSE: (6) is inconsistent.
% 72.52/10.80  | | 
% 72.52/10.80  | Case 2:
% 72.52/10.80  | | 
% 72.52/10.80  | |   (7)  all_10_12 = e4 &  ~ (unit = e2)
% 72.52/10.80  | | 
% 72.52/10.80  | | ALPHA: (7) implies:
% 72.52/10.80  | |   (8)  all_10_12 = e4
% 72.52/10.80  | | 
% 72.52/10.80  | | COMBINE_EQS: (3), (8) imply:
% 72.52/10.80  | |   (9)  e4 = e3
% 72.52/10.80  | | 
% 72.52/10.80  | | REDUCE: (4), (9) imply:
% 72.52/10.80  | |   (10)  $false
% 72.52/10.80  | | 
% 72.52/10.80  | | CLOSE: (10) is inconsistent.
% 72.52/10.80  | | 
% 72.52/10.80  | End of split
% 72.52/10.80  | 
% 72.52/10.80  End of proof
% 72.52/10.80  
% 72.52/10.80  Sub-proof #103 shows that the following formulas are inconsistent:
% 72.52/10.80  ----------------------------------------------------------------
% 72.52/10.80    (1)  all_6_11 = all_4_7
% 72.52/10.80    (2)  all_6_11 = e2
% 72.52/10.80    (3)   ~ (all_4_7 = e2)
% 72.52/10.80  
% 72.52/10.80  Begin of proof
% 72.52/10.80  | 
% 72.52/10.80  | COMBINE_EQS: (1), (2) imply:
% 72.52/10.80  |   (4)  all_4_7 = e2
% 72.52/10.80  | 
% 72.52/10.80  | SIMP: (4) implies:
% 72.52/10.80  |   (5)  all_4_7 = e2
% 72.52/10.80  | 
% 72.52/10.80  | REDUCE: (3), (5) imply:
% 72.52/10.80  |   (6)  $false
% 72.52/10.80  | 
% 72.52/10.80  | CLOSE: (6) is inconsistent.
% 72.52/10.80  | 
% 72.52/10.80  End of proof
% 72.52/10.80  
% 72.52/10.80  Sub-proof #104 shows that the following formulas are inconsistent:
% 72.52/10.80  ----------------------------------------------------------------
% 72.52/10.80    (1)  all_6_3 = all_4_15
% 72.52/10.80    (2)  all_6_3 = e3
% 72.52/10.80    (3)   ~ (all_4_15 = e3)
% 72.52/10.80  
% 72.52/10.80  Begin of proof
% 72.52/10.80  | 
% 72.52/10.80  | COMBINE_EQS: (1), (2) imply:
% 72.52/10.80  |   (4)  all_4_15 = e3
% 72.52/10.80  | 
% 72.52/10.80  | SIMP: (4) implies:
% 72.52/10.80  |   (5)  all_4_15 = e3
% 72.52/10.80  | 
% 72.52/10.80  | REDUCE: (3), (5) imply:
% 72.52/10.80  |   (6)  $false
% 72.52/10.80  | 
% 72.52/10.80  | CLOSE: (6) is inconsistent.
% 72.52/10.80  | 
% 72.52/10.80  End of proof
% 72.52/10.80  
% 72.52/10.80  Sub-proof #105 shows that the following formulas are inconsistent:
% 72.52/10.80  ----------------------------------------------------------------
% 72.52/10.80    (1)  all_8_6 = all_4_2
% 72.52/10.80    (2)   ~ (all_4_0 = e3)
% 72.52/10.80    (3)  all_10_9 = e3
% 72.52/10.80    (4)  all_10_6 = e4
% 72.52/10.80    (5)   ~ (e3 = e1)
% 72.52/10.80    (6)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 72.52/10.80    (7)  all_8_14 = all_4_13
% 72.52/10.80    (8)  all_8_17 = e3
% 72.52/10.80    (9)  all_6_13 = e4 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 = e0
% 72.52/10.80    (10)  all_6_23 = all_4_19
% 72.52/10.80    (11)   ~ (all_4_13 = e1)
% 72.52/10.80    (12)  all_8_13 = e3
% 72.52/10.80    (13)  all_10_14 = all_4_22
% 72.52/10.80    (14)   ~ (all_4_23 = e1)
% 72.52/10.80    (15)   ~ (e4 = e0)
% 72.52/10.80    (16)   ~ (all_4_7 = e4)
% 72.52/10.80    (17)  all_10_24 = e1
% 72.52/10.80    (18)   ~ (all_4_19 = e3)
% 72.52/10.80    (19)  all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24
% 72.52/10.80          = e2
% 72.52/10.80    (20)  all_10_5 = e0
% 72.52/10.80    (21)  all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19
% 72.52/10.80          = e1
% 72.52/10.81    (22)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.52/10.81                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.52/10.81                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.52/10.81                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.52/10.81                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.52/10.81                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.52/10.81              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.52/10.81                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.52/10.81                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.52/10.81              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.52/10.81              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.52/10.81              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.52/10.81              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.52/10.81              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.52/10.81              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.52/10.81              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.52/10.81              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.52/10.81              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.52/10.81                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.52/10.81            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.52/10.81              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.52/10.81              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.52/10.81              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.52/10.81                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.52/10.81                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.52/10.81                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.52/10.81                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.52/10.81            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.52/10.81              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.52/10.81                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.52/10.81                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.52/10.81                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.52/10.81              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.52/10.81              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.81              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.52/10.81              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.52/10.81              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.52/10.81              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.52/10.81              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.52/10.81              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.52/10.81              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.52/10.81                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.52/10.81            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.52/10.81              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.52/10.81              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.52/10.81                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.52/10.81              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.52/10.81                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.52/10.81            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.52/10.81              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.52/10.81                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.52/10.81                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.52/10.81                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.52/10.81                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.52/10.81                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.52/10.81                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.52/10.81              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.52/10.81              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.52/10.81              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.52/10.81                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.52/10.81            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.52/10.81              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.52/10.81              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.52/10.81              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.52/10.81              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.52/10.81              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.52/10.81              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.52/10.81                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.52/10.81                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.52/10.81              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.52/10.81                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.52/10.81              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.52/10.81                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.52/10.81            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.52/10.81              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.52/10.81              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.52/10.81              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.52/10.81              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.52/10.81                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.52/10.81            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.52/10.81              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.52/10.81              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.52/10.81              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.52/10.81                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.52/10.81                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.52/10.81                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.52/10.81                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.52/10.81              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.52/10.81                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.52/10.81                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.52/10.81              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.52/10.81              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.52/10.81              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.52/10.81              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.52/10.81              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.52/10.81                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.52/10.81            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.52/10.81              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.52/10.81    (23)  all_6_13 = all_4_17
% 72.52/10.81    (24)  all_8_15 = e0
% 72.52/10.81    (25)  all_10_23 = all_4_19
% 72.52/10.81    (26)  all_8_8 = e3
% 72.52/10.81    (27)  all_10_17 = all_4_13
% 72.52/10.81    (28)   ~ (e3 = e0)
% 72.52/10.81    (29)   ~ (all_4_17 = e0)
% 72.52/10.81    (30)   ~ (all_4_17 = e2)
% 72.52/10.81    (31)  all_8_16 = all_4_20
% 72.52/10.81    (32)   ~ (all_4_23 = e0)
% 72.52/10.81    (33)   ~ (all_4_19 = e0)
% 72.52/10.81    (34)  all_8_11 = all_4_17
% 72.52/10.81    (35)  all_10_19 = all_4_23
% 72.52/10.81    (36)  all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 72.52/10.81    (37)  all_6_0 = all_4_0
% 72.52/10.81    (38)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 =
% 72.52/10.81          e4
% 72.52/10.81    (39)   ~ (all_4_0 = all_4_20)
% 72.52/10.81    (40)   ~ (e4 = e3)
% 72.52/10.81    (41)   ~ (all_4_0 = all_4_3)
% 72.52/10.81    (42)   ~ (e3 = e2)
% 72.52/10.81    (43)  all_8_19 = all_4_23
% 72.52/10.81    (44)  all_8_7 = all_4_7
% 72.52/10.81    (45)   ~ (e1 = e0)
% 72.52/10.81    (46)   ~ (all_4_19 = e1)
% 72.52/10.81    (47)  all_8_12 = all_4_3
% 72.52/10.81    (48)   ~ (all_4_0 = all_4_2)
% 72.52/10.81    (49)   ~ (all_4_17 = all_4_19)
% 72.52/10.81    (50)   ~ (e2 = e1)
% 72.52/10.81    (51)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 | all_6_23
% 72.52/10.81          = e0
% 72.52/10.81    (52)  all_8_18 = all_4_22
% 72.52/10.81    (53)   ~ (all_4_0 = e0)
% 72.52/10.81    (54)   ~ (e2 = e0)
% 72.52/10.81    (55)   ~ (all_4_13 = e0)
% 72.52/10.81    (56)   ~ (all_4_19 = e2)
% 72.52/10.81    (57)  all_10_12 = e3
% 72.52/10.81    (58)  all_8_24 = e1
% 72.52/10.81  
% 72.52/10.81  Begin of proof
% 72.52/10.81  | 
% 72.52/10.81  | BETA: splitting (51) gives:
% 72.52/10.81  | 
% 72.52/10.81  | Case 1:
% 72.52/10.81  | | 
% 72.52/10.81  | |   (59)  all_6_23 = e3
% 72.52/10.81  | | 
% 72.52/10.81  | | COMBINE_EQS: (10), (59) imply:
% 72.52/10.81  | |   (60)  all_4_19 = e3
% 72.52/10.81  | | 
% 72.52/10.81  | | SIMP: (60) implies:
% 72.52/10.81  | |   (61)  all_4_19 = e3
% 72.52/10.81  | | 
% 72.52/10.81  | | REDUCE: (18), (61) imply:
% 72.52/10.81  | |   (62)  $false
% 72.52/10.81  | | 
% 72.52/10.81  | | CLOSE: (62) is inconsistent.
% 72.52/10.81  | | 
% 72.52/10.81  | Case 2:
% 72.52/10.81  | | 
% 72.52/10.81  | |   (63)   ~ (all_6_23 = e3)
% 72.52/10.81  | |   (64)  all_6_23 = e4 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0
% 72.52/10.81  | | 
% 72.52/10.81  | | BETA: splitting (64) gives:
% 72.52/10.81  | | 
% 72.52/10.81  | | Case 1:
% 72.52/10.81  | | | 
% 72.52/10.81  | | |   (65)  all_6_23 = e2
% 72.52/10.81  | | | 
% 72.71/10.81  | | | COMBINE_EQS: (10), (65) imply:
% 72.71/10.81  | | |   (66)  all_4_19 = e2
% 72.71/10.81  | | | 
% 72.71/10.81  | | | SIMP: (66) implies:
% 72.71/10.81  | | |   (67)  all_4_19 = e2
% 72.71/10.81  | | | 
% 72.71/10.81  | | | REDUCE: (56), (67) imply:
% 72.71/10.81  | | |   (68)  $false
% 72.71/10.81  | | | 
% 72.71/10.81  | | | CLOSE: (68) is inconsistent.
% 72.71/10.81  | | | 
% 72.71/10.81  | | Case 2:
% 72.71/10.81  | | | 
% 72.71/10.81  | | |   (69)  all_6_23 = e4 | all_6_23 = e1 | all_6_23 = e0
% 72.71/10.81  | | | 
% 72.71/10.81  | | | BETA: splitting (69) gives:
% 72.71/10.81  | | | 
% 72.71/10.81  | | | Case 1:
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | |   (70)  all_6_23 = e1
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | | COMBINE_EQS: (10), (70) imply:
% 72.71/10.81  | | | |   (71)  all_4_19 = e1
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | | SIMP: (71) implies:
% 72.71/10.81  | | | |   (72)  all_4_19 = e1
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | | REDUCE: (46), (72) imply:
% 72.71/10.81  | | | |   (73)  $false
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | | CLOSE: (73) is inconsistent.
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | Case 2:
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | |   (74)   ~ (all_6_23 = e1)
% 72.71/10.81  | | | |   (75)  all_6_23 = e4 | all_6_23 = e0
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | | BETA: splitting (22) gives:
% 72.71/10.81  | | | | 
% 72.71/10.81  | | | | Case 1:
% 72.71/10.81  | | | | | 
% 72.71/10.81  | | | | |   (76)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.71/10.81  | | | | |             (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 72.71/10.81  | | | | |             (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 72.71/10.81  | | | | |             (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 72.71/10.81  | | | | |             (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) | 
% 72.71/10.81  | | | | |             ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~
% 72.71/10.81  | | | | |               (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 & 
% 72.71/10.81  | | | | |               ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &
% 72.71/10.81  | | | | |                ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0
% 72.71/10.81  | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 72.71/10.81  | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit
% 72.71/10.81  | | | | |                 = e4))) & ( ~ (all_10_12 = e4) | (all_10_10 = e2 &  ~
% 72.71/10.81  | | | | |               (unit = e4))) & ( ~ (all_10_13 = e4) | (all_10_10 = e1 &
% 72.71/10.81  | | | | |                ~ (unit = e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 72.71/10.81  | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.71/10.81  | | | | |               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~
% 72.71/10.81  | | | | |               (unit = e4))) & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &
% 72.71/10.81  | | | | |                ~ (unit = e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 72.71/10.81  | | | | |               e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.71/10.81  | | | | |             (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4)
% 72.71/10.81  | | | | |             |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3
% 72.71/10.81  | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 72.71/10.81  | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.71/10.81  | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4)
% 72.71/10.81  | | | | |             | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 =
% 72.71/10.81  | | | | |               e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.71/10.81  | | | | |               = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 72.71/10.81  | | | | |             (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 72.71/10.81  | | | | |             (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 72.71/10.81  | | | | |             (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.71/10.81  | | | | |             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) | 
% 72.71/10.81  | | | | |             ~ (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~
% 72.71/10.81  | | | | |               (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 & 
% 72.71/10.81  | | | | |               ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &
% 72.71/10.81  | | | | |                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 =
% 72.71/10.81  | | | | |               e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.71/10.81  | | | | |               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~
% 72.71/10.81  | | | | |               (unit = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &
% 72.71/10.81  | | | | |                ~ (unit = e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 72.71/10.81  | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 72.71/10.81  | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3)
% 72.71/10.81  | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2
% 72.71/10.81  | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 72.71/10.81  | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.71/10.81  | | | | |             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3)
% 72.71/10.81  | | | | |             | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 =
% 72.71/10.81  | | | | |               e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 72.71/10.81  | | | | |             (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3)
% 72.71/10.81  | | | | |             | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 =
% 72.71/10.81  | | | | |               e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 72.71/10.81  | | | | | 
% 72.71/10.81  | | | | | REF_CLOSE: (3), (4), (15), (20), (28), (76) are inconsistent by
% 72.71/10.81  | | | | |            sub-proof #117.
% 72.71/10.81  | | | | | 
% 72.71/10.81  | | | | Case 2:
% 72.71/10.81  | | | | | 
% 72.71/10.82  | | | | |   (77)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~
% 72.71/10.82  | | | | |             (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~
% 72.71/10.82  | | | | |             (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 72.71/10.82  | | | | |             (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 72.71/10.82  | | | | |             (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2) |
% 72.71/10.82  | | | | |             (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.71/10.82  | | | | |             (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 72.71/10.82  | | | | |             ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~
% 72.71/10.82  | | | | |               (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 & 
% 72.71/10.82  | | | | |               ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4
% 72.71/10.82  | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 72.71/10.82  | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 72.71/10.82  | | | | |               = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~
% 72.71/10.82  | | | | |               (unit = e2))) & ( ~ (all_10_14 = e2) | (all_10_12 = e0 &
% 72.71/10.82  | | | | |                ~ (unit = e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 72.71/10.82  | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.71/10.82  | | | | |             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2)
% 72.71/10.82  | | | | |             |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1
% 72.71/10.82  | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 72.71/10.82  | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 72.71/10.82  | | | | |             (all_10_22 = e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2)
% 72.71/10.82  | | | | |             | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 =
% 72.71/10.82  | | | | |               e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.71/10.82  | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2)
% 72.71/10.82  | | | | |             | (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 =
% 72.71/10.82  | | | | |               e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1
% 72.71/10.82  | | | | |               = e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~
% 72.71/10.82  | | | | |             (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.71/10.82  | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1) |
% 72.71/10.82  | | | | |             (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 72.71/10.82  | | | | |             (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.71/10.82  | | | | |             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 72.71/10.82  | | | | |             (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) | 
% 72.71/10.82  | | | | |             ~ (unit = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~
% 72.71/10.82  | | | | |               (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 = e4 &
% 72.71/10.82  | | | | |                ~ (unit = e1))) & ( ~ (all_10_11 = e1) | (all_10_13 =
% 72.71/10.82  | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.71/10.82  | | | | |             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1)
% 72.71/10.82  | | | | |             |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0
% 72.71/10.82  | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) | (all_10_18 =
% 72.71/10.82  | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.71/10.82  | | | | |             (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1)
% 72.71/10.82  | | | | |             | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 =
% 72.71/10.82  | | | | |               e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.71/10.82  | | | | |             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1)
% 72.71/10.82  | | | | |             | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 =
% 72.71/10.82  | | | | |               e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.71/10.82  | | | | |             (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & (
% 72.71/10.82  | | | | |             ~ (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.71/10.82  | | | | |               e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 72.71/10.82  | | | | |             (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.82  | | | | |             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~
% 72.71/10.82  | | | | |             (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 72.71/10.82  | | | | |             (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.71/10.82  | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0) |
% 72.71/10.82  | | | | |             (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.71/10.82  | | | | |             (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.71/10.82  | | | | |             (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.71/10.82  | | | | |             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) | 
% 72.71/10.82  | | | | |             ~ (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 & 
% 72.71/10.82  | | | | |               ~ (unit = e0))) & ( ~ (all_10_11 = e0) | (all_10_14 = e3
% 72.71/10.82  | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) | (all_10_14 =
% 72.71/10.82  | | | | |               e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 72.71/10.82  | | | | |             (all_10_14 = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0)
% 72.71/10.82  | | | | |             |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) | (all_10_19 = e4
% 72.71/10.82  | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_19 =
% 72.71/10.82  | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.71/10.82  | | | | |             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0)
% 72.71/10.82  | | | | |             | (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 72.71/10.82  | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.71/10.82  | | | | |             (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0)
% 72.71/10.82  | | | | |             | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 =
% 72.71/10.82  | | | | |               e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.71/10.82  | | | | |             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & (
% 72.71/10.82  | | | | |             ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 72.71/10.82  | | | | | 
% 72.71/10.82  | | | | | BETA: splitting (77) gives:
% 72.71/10.82  | | | | | 
% 72.71/10.82  | | | | | Case 1:
% 72.71/10.82  | | | | | | 
% 72.71/10.82  | | | | | |   (78)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & (
% 72.71/10.82  | | | | | |           ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & (
% 72.71/10.82  | | | | | |           ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 = e2)
% 72.71/10.82  | | | | | |           | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2)
% 72.71/10.82  | | | | | |           | (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5 = e2)
% 72.71/10.82  | | | | | |           | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 72.71/10.82  | | | | | |           | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2)
% 72.71/10.82  | | | | | |           |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &
% 72.71/10.82  | | | | | |              ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0
% 72.71/10.82  | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 =
% 72.71/10.82  | | | | | |             e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 72.71/10.82  | | | | | |           (all_10_12 = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2)
% 72.71/10.82  | | | | | |           |  ~ (unit = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1
% 72.71/10.82  | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) | (all_10_12 =
% 72.71/10.82  | | | | | |             e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.71/10.82  | | | | | |           (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 72.71/10.82  | | | | | |           | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 =
% 72.71/10.82  | | | | | |             e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 72.71/10.82  | | | | | |           (all_10_17 = e1 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2)
% 72.71/10.82  | | | | | |           | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~ (all_10_20 =
% 72.71/10.82  | | | | | |             e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.71/10.82  | | | | | |           (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & (
% 72.71/10.82  | | | | | |           ~ (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 =
% 72.71/10.82  | | | | | |             e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 72.71/10.82  | | | | | |           (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit = e2)))
% 72.71/10.82  | | | | | | 
% 72.71/10.82  | | | | | | ALPHA: (78) implies:
% 72.71/10.82  | | | | | |   (79)   ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))
% 72.71/10.82  | | | | | |   (80)   ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))
% 72.71/10.82  | | | | | | 
% 72.71/10.82  | | | | | | BETA: splitting (75) gives:
% 72.71/10.82  | | | | | | 
% 72.71/10.82  | | | | | | Case 1:
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | |   (81)  all_6_23 = e4
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | | COMBINE_EQS: (10), (81) imply:
% 72.71/10.82  | | | | | | |   (82)  all_4_19 = e4
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | | SIMP: (82) implies:
% 72.71/10.82  | | | | | | |   (83)  all_4_19 = e4
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | | REDUCE: (49), (83) imply:
% 72.71/10.82  | | | | | | |   (84)   ~ (all_4_17 = e4)
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | | REDUCE: (46), (83) imply:
% 72.71/10.82  | | | | | | |   (85)   ~ (e4 = e1)
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | | BETA: splitting (21) gives:
% 72.71/10.82  | | | | | | | 
% 72.71/10.82  | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | |   (86)  all_8_12 = e1
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | | COMBINE_EQS: (47), (86) imply:
% 72.71/10.82  | | | | | | | |   (87)  all_4_3 = e1
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | | SIMP: (87) implies:
% 72.71/10.82  | | | | | | | |   (88)  all_4_3 = e1
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | | REDUCE: (41), (88) imply:
% 72.71/10.82  | | | | | | | |   (89)   ~ (all_4_0 = e1)
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | | BETA: splitting (79) gives:
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | |   (90)   ~ (all_10_19 = e2)
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | REDUCE: (35), (90) imply:
% 72.71/10.82  | | | | | | | | |   (91)   ~ (all_4_23 = e2)
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | BETA: splitting (9) gives:
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | |   (92)  all_6_13 = e2
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | REF_CLOSE: (23), (30), (92) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | |            #255.
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | |   (93)  all_6_13 = e4 | all_6_13 = e1 | all_6_13 = e0
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | BETA: splitting (93) gives:
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | |   (94)  all_6_13 = e1
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | COMBINE_EQS: (23), (94) imply:
% 72.71/10.82  | | | | | | | | | | |   (95)  all_4_17 = e1
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | SIMP: (95) implies:
% 72.71/10.82  | | | | | | | | | | |   (96)  all_4_17 = e1
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | COMBINE_EQS: (34), (96) imply:
% 72.71/10.82  | | | | | | | | | | |   (97)  all_8_11 = e1
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | BETA: splitting (80) gives:
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | |   (98)   ~ (all_10_14 = e2)
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | REDUCE: (13), (98) imply:
% 72.71/10.82  | | | | | | | | | | | |   (99)   ~ (all_4_22 = e2)
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | BETA: splitting (19) gives:
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | |   (100)  all_8_16 = e2
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | COMBINE_EQS: (31), (100) imply:
% 72.71/10.82  | | | | | | | | | | | | |   (101)  all_4_20 = e2
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | SIMP: (101) implies:
% 72.71/10.82  | | | | | | | | | | | | |   (102)  all_4_20 = e2
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | REDUCE: (39), (102) imply:
% 72.71/10.82  | | | | | | | | | | | | |   (103)   ~ (all_4_0 = e2)
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | BETA: splitting (36) gives:
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | |   (104)  all_8_16 = e0
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | REF_CLOSE: (54), (100), (104) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | | | | | |            #116.
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | |   (105)  all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | |   (106)  all_8_17 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | REF_CLOSE: (8), (28), (106) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | | | | | | |            #115.
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | |   (107)  all_8_18 = e0 | all_8_19 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | BETA: splitting (107) gives:
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | |   (108)  all_8_18 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | BETA: splitting (38) gives:
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | |   (109)  all_8_6 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (109) imply:
% 72.71/10.82  | | | | | | | | | | | | | | | | |   (110)  all_4_2 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | REDUCE: (48), (110) imply:
% 72.71/10.82  | | | | | | | | | | | | | | | | |   (111)   ~ (all_4_0 = e4)
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | BETA: splitting (6) gives:
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | |   (112)  all_6_0 = e3
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (37), (112) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | | | | | | | | | |            #170.
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | |   (113)  all_6_0 = e4 | all_6_0 = e2 | all_6_0 = e1 |
% 72.71/10.82  | | | | | | | | | | | | | | | | | |          all_6_0 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (37), (53), (89), (103), (111), (113) are
% 72.71/10.82  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #113.
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | |   (114)  all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 72.71/10.82  | | | | | | | | | | | | | | | | |          all_8_18 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | |   (115)  all_8_7 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (44), (115) imply:
% 72.71/10.82  | | | | | | | | | | | | | | | | | |   (116)  all_4_7 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | REDUCE: (16), (116) imply:
% 72.71/10.82  | | | | | | | | | | | | | | | | | |   (117)  $false
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | CLOSE: (117) is inconsistent.
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | |   (118)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | |   (119)  all_8_8 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (40), (119) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | | | | | | | | | | |            #138.
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | |   (120)  all_8_11 = e4 | all_8_18 = e4
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (85), (97), (108), (120) are inconsistent by
% 72.71/10.82  | | | | | | | | | | | | | | | | | | |            sub-proof #112.
% 72.71/10.82  | | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | |   (121)  all_8_19 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (121) imply:
% 72.71/10.82  | | | | | | | | | | | | | | | |   (122)  all_4_23 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | SIMP: (122) implies:
% 72.71/10.82  | | | | | | | | | | | | | | | |   (123)  all_4_23 = e0
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | REDUCE: (32), (123) imply:
% 72.71/10.82  | | | | | | | | | | | | | | | |   (124)  $false
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | | CLOSE: (124) is inconsistent.
% 72.71/10.82  | | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | |   (125)  all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 72.71/10.82  | | | | | | | | | | | | |          all_8_24 = e2
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | | REF_CLOSE: (8), (42), (43), (50), (52), (58), (91), (99),
% 72.71/10.82  | | | | | | | | | | | | |            (125) are inconsistent by sub-proof #111.
% 72.71/10.82  | | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | |   (126)  all_10_12 = e0 &  ~ (unit = e2)
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | ALPHA: (126) implies:
% 72.71/10.82  | | | | | | | | | | | |   (127)  all_10_12 = e0
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | REF_CLOSE: (28), (57), (127) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | | | |            #159.
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | |   (128)  all_6_13 = e4 | all_6_13 = e0
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | BETA: splitting (128) gives:
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | Case 1:
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | |   (129)  all_6_13 = e4
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | COMBINE_EQS: (23), (129) imply:
% 72.71/10.82  | | | | | | | | | | | |   (130)  all_4_17 = e4
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | SIMP: (130) implies:
% 72.71/10.82  | | | | | | | | | | | |   (131)  all_4_17 = e4
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | REDUCE: (84), (131) imply:
% 72.71/10.82  | | | | | | | | | | | |   (132)  $false
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | CLOSE: (132) is inconsistent.
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | |   (133)  all_6_13 = e0
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | | REF_CLOSE: (23), (29), (133) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | | | | |            #233.
% 72.71/10.82  | | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | |   (134)  all_10_17 = e0 &  ~ (unit = e2)
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | | REF_CLOSE: (27), (55), (134) are inconsistent by sub-proof
% 72.71/10.82  | | | | | | | | |            #110.
% 72.71/10.82  | | | | | | | | | 
% 72.71/10.82  | | | | | | | | End of split
% 72.71/10.82  | | | | | | | | 
% 72.71/10.82  | | | | | | | Case 2:
% 72.71/10.82  | | | | | | | | 
% 72.71/10.83  | | | | | | | |   (135)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 |
% 72.71/10.83  | | | | | | | |          all_8_19 = e1
% 72.71/10.83  | | | | | | | | 
% 72.71/10.83  | | | | | | | | REF_CLOSE: (5), (7), (11), (12), (14), (24), (43), (45), (135)
% 72.71/10.83  | | | | | | | |            are inconsistent by sub-proof #108.
% 72.71/10.83  | | | | | | | | 
% 72.71/10.83  | | | | | | | End of split
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | Case 2:
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | |   (136)  all_6_23 = e0
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | | COMBINE_EQS: (10), (136) imply:
% 72.71/10.83  | | | | | | |   (137)  all_4_19 = e0
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | | SIMP: (137) implies:
% 72.71/10.83  | | | | | | |   (138)  all_4_19 = e0
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | | REDUCE: (33), (138) imply:
% 72.71/10.83  | | | | | | |   (139)  $false
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | | CLOSE: (139) is inconsistent.
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | End of split
% 72.71/10.83  | | | | | | 
% 72.71/10.83  | | | | | Case 2:
% 72.71/10.83  | | | | | | 
% 72.71/10.83  | | | | | |   (140)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 =
% 72.71/10.83  | | | | | |                e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.71/10.83  | | | | | |              (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & (
% 72.71/10.83  | | | | | |              ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 72.71/10.83  | | | | | |                e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.71/10.83  | | | | | |              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 72.71/10.83  | | | | | |            & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 72.71/10.83  | | | | | |                  e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & (
% 72.71/10.83  | | | | | |              ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1)))
% 72.71/10.83  | | | | | |            & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.71/10.83  | | | | | |                  e1))) & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~
% 72.71/10.83  | | | | | |                (unit = e1))) & ( ~ (all_10_17 = e1) | (all_10_18 =
% 72.71/10.83  | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~
% 72.71/10.83  | | | | | |              (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &
% 72.71/10.83  | | | | | |                 ~ (unit = e1))) & ( ~ (all_10_20 = e1) | (all_10_23
% 72.71/10.83  | | | | | |                = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.71/10.83  | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 =
% 72.71/10.83  | | | | | |                e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.71/10.83  | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.71/10.83  | | | | | |                e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 72.71/10.83  | | | | | |              (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & (
% 72.71/10.83  | | | | | |              ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 =
% 72.71/10.83  | | | | | |                e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.83  | | | | | |              (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & (
% 72.71/10.83  | | | | | |              ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 =
% 72.71/10.83  | | | | | |                e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.83  | | | | | |              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | |            ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 72.71/10.83  | | | | | |            & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.71/10.83  | | | | | |                  e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 72.71/10.83  | | | | | |              ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0)))
% 72.71/10.83  | | | | | |            & ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 72.71/10.83  | | | | | |                  e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~
% 72.71/10.83  | | | | | |                (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_19 =
% 72.71/10.83  | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~
% 72.71/10.83  | | | | | |              (unit = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &
% 72.71/10.83  | | | | | |                 ~ (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_24
% 72.71/10.83  | | | | | |                = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.71/10.83  | | | | | |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 =
% 72.71/10.83  | | | | | |                e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.71/10.83  | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.71/10.83  | | | | | | 
% 72.71/10.83  | | | | | | BETA: splitting (140) gives:
% 72.71/10.83  | | | | | | 
% 72.71/10.83  | | | | | | Case 1:
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | |   (141)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 =
% 72.71/10.83  | | | | | | |              e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.71/10.83  | | | | | | |            (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & (
% 72.71/10.83  | | | | | | |            ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 72.71/10.83  | | | | | | |              e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.71/10.83  | | | | | | |            (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 72.71/10.83  | | | | | | |          & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 72.71/10.83  | | | | | | |                e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & (
% 72.71/10.83  | | | | | | |            ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1)))
% 72.71/10.83  | | | | | | |          & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 72.71/10.83  | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~
% 72.71/10.83  | | | | | | |              (unit = e1))) & ( ~ (all_10_17 = e1) | (all_10_18 =
% 72.71/10.83  | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~
% 72.71/10.83  | | | | | | |            (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &
% 72.71/10.83  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_20 = e1) | (all_10_23
% 72.71/10.83  | | | | | | |              = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.71/10.83  | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 =
% 72.71/10.83  | | | | | | |              e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.71/10.83  | | | | | | |            (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.71/10.83  | | | | | | |              e1) | (all_10_23 = e0 &  ~ (unit = e1)))
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | | REF_CLOSE: (17), (25), (33), (141) are inconsistent by sub-proof
% 72.71/10.83  | | | | | | |            #107.
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | Case 2:
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | |   (142)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 =
% 72.71/10.83  | | | | | | |              e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.83  | | | | | | |            (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & (
% 72.71/10.83  | | | | | | |            ~ (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 =
% 72.71/10.83  | | | | | | |              e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.83  | | | | | | |            (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) &
% 72.71/10.83  | | | | | | |          ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 72.71/10.83  | | | | | | |          & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.71/10.83  | | | | | | |                e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 72.71/10.83  | | | | | | |            ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0)))
% 72.71/10.83  | | | | | | |          & ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 72.71/10.83  | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~
% 72.71/10.83  | | | | | | |              (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_19 =
% 72.71/10.83  | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~
% 72.71/10.83  | | | | | | |            (unit = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &
% 72.71/10.83  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_24
% 72.71/10.83  | | | | | | |              = e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 72.71/10.83  | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23 =
% 72.71/10.83  | | | | | | |              e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.71/10.83  | | | | | | |            (all_10_24 = e0) |  ~ (unit = e0))
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | | REF_CLOSE: (3), (20), (40), (142) are inconsistent by sub-proof
% 72.71/10.83  | | | | | | |            #106.
% 72.71/10.83  | | | | | | | 
% 72.71/10.83  | | | | | | End of split
% 72.71/10.83  | | | | | | 
% 72.71/10.83  | | | | | End of split
% 72.71/10.83  | | | | | 
% 72.71/10.83  | | | | End of split
% 72.71/10.83  | | | | 
% 72.71/10.83  | | | End of split
% 72.71/10.83  | | | 
% 72.71/10.83  | | End of split
% 72.71/10.83  | | 
% 72.71/10.83  | End of split
% 72.71/10.83  | 
% 72.71/10.83  End of proof
% 72.71/10.83  
% 72.71/10.83  Sub-proof #106 shows that the following formulas are inconsistent:
% 72.71/10.83  ----------------------------------------------------------------
% 72.71/10.83    (1)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 =
% 72.71/10.83             e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.71/10.83           (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 =
% 72.71/10.83             e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 72.71/10.83           (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 72.71/10.83             e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.71/10.83           (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 =
% 72.71/10.83             e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.71/10.83           (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11
% 72.71/10.83             = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.71/10.83           (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_14
% 72.71/10.83             = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 72.71/10.83           ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.83           (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17
% 72.71/10.83             = e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.71/10.83           (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit =
% 72.71/10.83             e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & (
% 72.71/10.83           ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.71/10.83           (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23
% 72.71/10.83             = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) | 
% 72.71/10.83           ~ (unit = e0))
% 72.71/10.83    (2)  all_10_5 = e0
% 72.71/10.83    (3)  all_10_9 = e3
% 72.71/10.83    (4)   ~ (e4 = e3)
% 72.71/10.83  
% 72.71/10.83  Begin of proof
% 72.71/10.83  | 
% 72.71/10.83  | ALPHA: (1) implies:
% 72.71/10.83  |   (5)   ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))
% 72.71/10.83  | 
% 72.71/10.83  | BETA: splitting (5) gives:
% 72.71/10.83  | 
% 72.71/10.83  | Case 1:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (6)   ~ (all_10_5 = e0)
% 72.71/10.83  | | 
% 72.71/10.83  | | REDUCE: (2), (6) imply:
% 72.71/10.83  | |   (7)  $false
% 72.71/10.83  | | 
% 72.71/10.83  | | CLOSE: (7) is inconsistent.
% 72.71/10.83  | | 
% 72.71/10.83  | Case 2:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (8)  all_10_9 = e4 &  ~ (unit = e0)
% 72.71/10.83  | | 
% 72.71/10.83  | | ALPHA: (8) implies:
% 72.71/10.83  | |   (9)  all_10_9 = e4
% 72.71/10.83  | | 
% 72.71/10.83  | | COMBINE_EQS: (3), (9) imply:
% 72.71/10.83  | |   (10)  e4 = e3
% 72.71/10.83  | | 
% 72.71/10.83  | | REDUCE: (4), (10) imply:
% 72.71/10.83  | |   (11)  $false
% 72.71/10.83  | | 
% 72.71/10.83  | | CLOSE: (11) is inconsistent.
% 72.71/10.83  | | 
% 72.71/10.83  | End of split
% 72.71/10.83  | 
% 72.71/10.83  End of proof
% 72.71/10.83  
% 72.71/10.83  Sub-proof #107 shows that the following formulas are inconsistent:
% 72.71/10.83  ----------------------------------------------------------------
% 72.71/10.83    (1)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 =
% 72.71/10.83             e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 72.71/10.83           (all_10_3 = e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 72.71/10.83             e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 72.71/10.83           (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 =
% 72.71/10.83             e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 72.71/10.83           (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 72.71/10.83             e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.71/10.83           (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11
% 72.71/10.83             = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.71/10.83           (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit =
% 72.71/10.83             e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) & (
% 72.71/10.83           ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.71/10.83           (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17
% 72.71/10.83             = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) | 
% 72.71/10.83           ~ (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 72.71/10.83               e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) &
% 72.71/10.83         ( ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.71/10.83           (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23
% 72.71/10.83             = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~
% 72.71/10.83             (unit = e1)))
% 72.71/10.83    (2)  all_10_24 = e1
% 72.71/10.83    (3)  all_10_23 = all_4_19
% 72.71/10.83    (4)   ~ (all_4_19 = e0)
% 72.71/10.83  
% 72.71/10.83  Begin of proof
% 72.71/10.83  | 
% 72.71/10.83  | ALPHA: (1) implies:
% 72.71/10.83  |   (5)   ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit = e1))
% 72.71/10.83  | 
% 72.71/10.83  | BETA: splitting (5) gives:
% 72.71/10.83  | 
% 72.71/10.83  | Case 1:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (6)   ~ (all_10_24 = e1)
% 72.71/10.83  | | 
% 72.71/10.83  | | REDUCE: (2), (6) imply:
% 72.71/10.83  | |   (7)  $false
% 72.71/10.83  | | 
% 72.71/10.83  | | CLOSE: (7) is inconsistent.
% 72.71/10.83  | | 
% 72.71/10.83  | Case 2:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (8)  all_10_23 = e0 &  ~ (unit = e1)
% 72.71/10.83  | | 
% 72.71/10.83  | | ALPHA: (8) implies:
% 72.71/10.83  | |   (9)  all_10_23 = e0
% 72.71/10.83  | | 
% 72.71/10.83  | | COMBINE_EQS: (3), (9) imply:
% 72.71/10.83  | |   (10)  all_4_19 = e0
% 72.71/10.83  | | 
% 72.71/10.83  | | SIMP: (10) implies:
% 72.71/10.83  | |   (11)  all_4_19 = e0
% 72.71/10.83  | | 
% 72.71/10.83  | | REDUCE: (4), (11) imply:
% 72.71/10.83  | |   (12)  $false
% 72.71/10.83  | | 
% 72.71/10.83  | | CLOSE: (12) is inconsistent.
% 72.71/10.83  | | 
% 72.71/10.83  | End of split
% 72.71/10.83  | 
% 72.71/10.83  End of proof
% 72.71/10.83  
% 72.71/10.83  Sub-proof #108 shows that the following formulas are inconsistent:
% 72.71/10.83  ----------------------------------------------------------------
% 72.71/10.83    (1)   ~ (e3 = e1)
% 72.71/10.83    (2)  all_8_14 = all_4_13
% 72.71/10.83    (3)   ~ (all_4_13 = e1)
% 72.71/10.83    (4)  all_8_13 = e3
% 72.71/10.83    (5)   ~ (all_4_23 = e1)
% 72.71/10.83    (6)  all_8_15 = e0
% 72.71/10.83    (7)  all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.71/10.83    (8)  all_8_19 = all_4_23
% 72.71/10.83    (9)   ~ (e1 = e0)
% 72.71/10.83  
% 72.71/10.83  Begin of proof
% 72.71/10.83  | 
% 72.71/10.83  | BETA: splitting (7) gives:
% 72.71/10.83  | 
% 72.71/10.83  | Case 1:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (10)  all_8_13 = e1
% 72.71/10.83  | | 
% 72.71/10.83  | | REF_CLOSE: (1), (4), (10) are inconsistent by sub-proof #242.
% 72.71/10.83  | | 
% 72.71/10.83  | Case 2:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (11)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.71/10.83  | | 
% 72.71/10.83  | | REF_CLOSE: (2), (3), (5), (6), (8), (9), (11) are inconsistent by sub-proof
% 72.71/10.83  | |            #109.
% 72.71/10.83  | | 
% 72.71/10.83  | End of split
% 72.71/10.83  | 
% 72.71/10.83  End of proof
% 72.71/10.83  
% 72.71/10.83  Sub-proof #109 shows that the following formulas are inconsistent:
% 72.71/10.83  ----------------------------------------------------------------
% 72.71/10.83    (1)  all_8_14 = all_4_13
% 72.71/10.83    (2)  all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1
% 72.71/10.83    (3)   ~ (all_4_13 = e1)
% 72.71/10.83    (4)   ~ (all_4_23 = e1)
% 72.71/10.83    (5)  all_8_15 = e0
% 72.71/10.83    (6)  all_8_19 = all_4_23
% 72.71/10.83    (7)   ~ (e1 = e0)
% 72.71/10.83  
% 72.71/10.83  Begin of proof
% 72.71/10.83  | 
% 72.71/10.83  | BETA: splitting (2) gives:
% 72.71/10.83  | 
% 72.71/10.83  | Case 1:
% 72.71/10.83  | | 
% 72.71/10.83  | |   (8)  all_8_14 = e1
% 72.71/10.83  | | 
% 72.71/10.84  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #142.
% 72.71/10.84  | | 
% 72.71/10.84  | Case 2:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (9)  all_8_15 = e1 | all_8_19 = e1
% 72.71/10.84  | | 
% 72.71/10.84  | | BETA: splitting (9) gives:
% 72.71/10.84  | | 
% 72.71/10.84  | | Case 1:
% 72.71/10.84  | | | 
% 72.71/10.84  | | |   (10)  all_8_15 = e1
% 72.71/10.84  | | | 
% 72.71/10.84  | | | COMBINE_EQS: (5), (10) imply:
% 72.71/10.84  | | |   (11)  e1 = e0
% 72.71/10.84  | | | 
% 72.71/10.84  | | | REDUCE: (7), (11) imply:
% 72.71/10.84  | | |   (12)  $false
% 72.71/10.84  | | | 
% 72.71/10.84  | | | CLOSE: (12) is inconsistent.
% 72.71/10.84  | | | 
% 72.71/10.84  | | Case 2:
% 72.71/10.84  | | | 
% 72.71/10.84  | | |   (13)  all_8_19 = e1
% 72.71/10.84  | | | 
% 72.71/10.84  | | | COMBINE_EQS: (6), (13) imply:
% 72.71/10.84  | | |   (14)  all_4_23 = e1
% 72.71/10.84  | | | 
% 72.71/10.84  | | | SIMP: (14) implies:
% 72.71/10.84  | | |   (15)  all_4_23 = e1
% 72.71/10.84  | | | 
% 72.71/10.84  | | | REDUCE: (4), (15) imply:
% 72.71/10.84  | | |   (16)  $false
% 72.71/10.84  | | | 
% 72.71/10.84  | | | CLOSE: (16) is inconsistent.
% 72.71/10.84  | | | 
% 72.71/10.84  | | End of split
% 72.71/10.84  | | 
% 72.71/10.84  | End of split
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #110 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)  all_10_17 = e0 &  ~ (unit = e2)
% 72.71/10.84    (2)  all_10_17 = all_4_13
% 72.71/10.84    (3)   ~ (all_4_13 = e0)
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | ALPHA: (1) implies:
% 72.71/10.84  |   (4)  all_10_17 = e0
% 72.71/10.84  | 
% 72.71/10.84  | COMBINE_EQS: (2), (4) imply:
% 72.71/10.84  |   (5)  all_4_13 = e0
% 72.71/10.84  | 
% 72.71/10.84  | REDUCE: (3), (5) imply:
% 72.71/10.84  |   (6)  $false
% 72.71/10.84  | 
% 72.71/10.84  | CLOSE: (6) is inconsistent.
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #111 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)  all_8_17 = e3
% 72.71/10.84    (2)   ~ (all_4_23 = e2)
% 72.71/10.84    (3)   ~ (e3 = e2)
% 72.71/10.84    (4)  all_8_19 = all_4_23
% 72.71/10.84    (5)  all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 72.71/10.84    (6)   ~ (e2 = e1)
% 72.71/10.84    (7)  all_8_18 = all_4_22
% 72.71/10.84    (8)   ~ (all_4_22 = e2)
% 72.71/10.84    (9)  all_8_24 = e1
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | BETA: splitting (5) gives:
% 72.71/10.84  | 
% 72.71/10.84  | Case 1:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (10)  all_8_17 = e2
% 72.71/10.84  | | 
% 72.71/10.84  | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #244.
% 72.71/10.84  | | 
% 72.71/10.84  | Case 2:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (11)  all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 72.71/10.84  | | 
% 72.71/10.84  | | BETA: splitting (11) gives:
% 72.71/10.84  | | 
% 72.71/10.84  | | Case 1:
% 72.71/10.84  | | | 
% 72.71/10.84  | | |   (12)  all_8_18 = e2
% 72.71/10.84  | | | 
% 72.71/10.84  | | | REF_CLOSE: (7), (8), (12) are inconsistent by sub-proof #243.
% 72.71/10.84  | | | 
% 72.71/10.84  | | Case 2:
% 72.71/10.84  | | | 
% 72.71/10.84  | | |   (13)  all_8_19 = e2 | all_8_24 = e2
% 72.71/10.84  | | | 
% 72.71/10.84  | | | BETA: splitting (13) gives:
% 72.71/10.84  | | | 
% 72.71/10.84  | | | Case 1:
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | |   (14)  all_8_19 = e2
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | COMBINE_EQS: (4), (14) imply:
% 72.71/10.84  | | | |   (15)  all_4_23 = e2
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | SIMP: (15) implies:
% 72.71/10.84  | | | |   (16)  all_4_23 = e2
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | REDUCE: (2), (16) imply:
% 72.71/10.84  | | | |   (17)  $false
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | CLOSE: (17) is inconsistent.
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | Case 2:
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | |   (18)  all_8_24 = e2
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | COMBINE_EQS: (9), (18) imply:
% 72.71/10.84  | | | |   (19)  e2 = e1
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | REDUCE: (6), (19) imply:
% 72.71/10.84  | | | |   (20)  $false
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | | CLOSE: (20) is inconsistent.
% 72.71/10.84  | | | | 
% 72.71/10.84  | | | End of split
% 72.71/10.84  | | | 
% 72.71/10.84  | | End of split
% 72.71/10.84  | | 
% 72.71/10.84  | End of split
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #112 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)   ~ (e4 = e0)
% 72.71/10.84    (2)  all_8_11 = e4 | all_8_18 = e4
% 72.71/10.84    (3)  all_8_11 = e1
% 72.71/10.84    (4)   ~ (e4 = e1)
% 72.71/10.84    (5)  all_8_18 = e0
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | BETA: splitting (2) gives:
% 72.71/10.84  | 
% 72.71/10.84  | Case 1:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (6)  all_8_11 = e4
% 72.71/10.84  | | 
% 72.71/10.84  | | COMBINE_EQS: (3), (6) imply:
% 72.71/10.84  | |   (7)  e4 = e1
% 72.71/10.84  | | 
% 72.71/10.84  | | SIMP: (7) implies:
% 72.71/10.84  | |   (8)  e4 = e1
% 72.71/10.84  | | 
% 72.71/10.84  | | REDUCE: (4), (8) imply:
% 72.71/10.84  | |   (9)  $false
% 72.71/10.84  | | 
% 72.71/10.84  | | CLOSE: (9) is inconsistent.
% 72.71/10.84  | | 
% 72.71/10.84  | Case 2:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (10)  all_8_18 = e4
% 72.71/10.84  | | 
% 72.71/10.84  | | COMBINE_EQS: (5), (10) imply:
% 72.71/10.84  | |   (11)  e4 = e0
% 72.71/10.84  | | 
% 72.71/10.84  | | REDUCE: (1), (11) imply:
% 72.71/10.84  | |   (12)  $false
% 72.71/10.84  | | 
% 72.71/10.84  | | CLOSE: (12) is inconsistent.
% 72.71/10.84  | | 
% 72.71/10.84  | End of split
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #113 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)  all_6_0 = e4 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 72.71/10.84    (2)   ~ (all_4_0 = e1)
% 72.71/10.84    (3)   ~ (all_4_0 = e4)
% 72.71/10.84    (4)  all_6_0 = all_4_0
% 72.71/10.84    (5)   ~ (all_4_0 = e0)
% 72.71/10.84    (6)   ~ (all_4_0 = e2)
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | BETA: splitting (1) gives:
% 72.71/10.84  | 
% 72.71/10.84  | Case 1:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (7)  all_6_0 = e2
% 72.71/10.84  | | 
% 72.71/10.84  | | COMBINE_EQS: (4), (7) imply:
% 72.71/10.84  | |   (8)  all_4_0 = e2
% 72.71/10.84  | | 
% 72.71/10.84  | | REDUCE: (6), (8) imply:
% 72.71/10.84  | |   (9)  $false
% 72.71/10.84  | | 
% 72.71/10.84  | | CLOSE: (9) is inconsistent.
% 72.71/10.84  | | 
% 72.71/10.84  | Case 2:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (10)  all_6_0 = e4 | all_6_0 = e1 | all_6_0 = e0
% 72.71/10.84  | | 
% 72.71/10.84  | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #114.
% 72.71/10.84  | | 
% 72.71/10.84  | End of split
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #114 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)   ~ (all_4_0 = e1)
% 72.71/10.84    (2)  all_6_0 = e4 | all_6_0 = e1 | all_6_0 = e0
% 72.71/10.84    (3)   ~ (all_4_0 = e4)
% 72.71/10.84    (4)  all_6_0 = all_4_0
% 72.71/10.84    (5)   ~ (all_4_0 = e0)
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | BETA: splitting (2) gives:
% 72.71/10.84  | 
% 72.71/10.84  | Case 1:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (6)  all_6_0 = e1
% 72.71/10.84  | | 
% 72.71/10.84  | | COMBINE_EQS: (4), (6) imply:
% 72.71/10.84  | |   (7)  all_4_0 = e1
% 72.71/10.84  | | 
% 72.71/10.84  | | REDUCE: (1), (7) imply:
% 72.71/10.84  | |   (8)  $false
% 72.71/10.84  | | 
% 72.71/10.84  | | CLOSE: (8) is inconsistent.
% 72.71/10.84  | | 
% 72.71/10.84  | Case 2:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (9)  all_6_0 = e4 | all_6_0 = e0
% 72.71/10.84  | | 
% 72.71/10.84  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #154.
% 72.71/10.84  | | 
% 72.71/10.84  | End of split
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #115 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)  all_8_17 = e3
% 72.71/10.84    (2)  all_8_17 = e0
% 72.71/10.84    (3)   ~ (e3 = e0)
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | COMBINE_EQS: (1), (2) imply:
% 72.71/10.84  |   (4)  e3 = e0
% 72.71/10.84  | 
% 72.71/10.84  | SIMP: (4) implies:
% 72.71/10.84  |   (5)  e3 = e0
% 72.71/10.84  | 
% 72.71/10.84  | REDUCE: (3), (5) imply:
% 72.71/10.84  |   (6)  $false
% 72.71/10.84  | 
% 72.71/10.84  | CLOSE: (6) is inconsistent.
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #116 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)  all_8_16 = e2
% 72.71/10.84    (2)  all_8_16 = e0
% 72.71/10.84    (3)   ~ (e2 = e0)
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | COMBINE_EQS: (1), (2) imply:
% 72.71/10.84  |   (4)  e2 = e0
% 72.71/10.84  | 
% 72.71/10.84  | SIMP: (4) implies:
% 72.71/10.84  |   (5)  e2 = e0
% 72.71/10.84  | 
% 72.71/10.84  | REDUCE: (3), (5) imply:
% 72.71/10.84  |   (6)  $false
% 72.71/10.84  | 
% 72.71/10.84  | CLOSE: (6) is inconsistent.
% 72.71/10.84  | 
% 72.71/10.84  End of proof
% 72.71/10.84  
% 72.71/10.84  Sub-proof #117 shows that the following formulas are inconsistent:
% 72.71/10.84  ----------------------------------------------------------------
% 72.71/10.84    (1)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.71/10.84               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.71/10.84               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.71/10.84                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.71/10.84           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.71/10.84               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.71/10.84               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.71/10.84                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.71/10.84           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.71/10.84             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.71/10.84             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.71/10.84             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.71/10.84             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.71/10.84               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.71/10.84           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.71/10.84             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.71/10.84             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.71/10.84             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.71/10.84             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.71/10.84             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.71/10.84             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.71/10.84             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.71/10.84             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.71/10.84               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.71/10.84             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.71/10.84               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.71/10.84             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.71/10.84               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.71/10.84             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.71/10.84               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.71/10.84             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.71/10.84               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.71/10.84           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.71/10.84             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.71/10.84             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.71/10.84             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.71/10.84             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.71/10.84             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.71/10.84             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.71/10.84             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.71/10.84               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.71/10.84           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.71/10.84             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 72.71/10.84    (2)  all_10_9 = e3
% 72.71/10.84    (3)  all_10_6 = e4
% 72.71/10.84    (4)   ~ (e4 = e0)
% 72.71/10.84    (5)  all_10_5 = e0
% 72.71/10.84    (6)   ~ (e3 = e0)
% 72.71/10.84  
% 72.71/10.84  Begin of proof
% 72.71/10.84  | 
% 72.71/10.84  | BETA: splitting (1) gives:
% 72.71/10.84  | 
% 72.71/10.84  | Case 1:
% 72.71/10.84  | | 
% 72.71/10.84  | |   (7)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.71/10.84  | |          (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0
% 72.71/10.84  | |            = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 & 
% 72.71/10.84  | |            ~ (unit = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit
% 72.71/10.84  | |              = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 72.71/10.84  | |            = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.71/10.84  | |          (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.71/10.84  | |            = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.71/10.84  | |            ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.71/10.84  | |          (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.71/10.84  | |          (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.71/10.84  | |          (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.71/10.84  | |          (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.71/10.84  | |          (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.71/10.84  | |          (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.71/10.84  | |          (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.71/10.84  | |          (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.71/10.84  | |          (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.71/10.84  | |          (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 72.71/10.84  | |              e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 72.71/10.84  | |              e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 72.71/10.84  | |              e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.71/10.84  | |              e4)))
% 72.71/10.84  | | 
% 72.71/10.84  | | ALPHA: (7) implies:
% 72.71/10.84  | |   (8)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 72.71/10.84  | | 
% 72.71/10.84  | | REF_CLOSE: (3), (5), (6), (8) are inconsistent by sub-proof #274.
% 72.71/10.84  | | 
% 72.71/10.84  | Case 2:
% 72.71/10.84  | | 
% 72.71/10.85  | |   (9)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 72.71/10.85  | |          (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1
% 72.71/10.85  | |            = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 & 
% 72.71/10.85  | |            ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit
% 72.71/10.85  | |              = e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 72.71/10.85  | |              e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 =
% 72.71/10.85  | |            e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 72.71/10.85  | |          (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6
% 72.71/10.85  | |            = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4
% 72.71/10.85  | |            &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.71/10.85  | |          (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.71/10.85  | |          (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.71/10.85  | |          (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.71/10.85  | |          (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.71/10.85  | |          (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.71/10.85  | |          (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.71/10.85  | |          (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.71/10.85  | |          (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.71/10.85  | |          (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 72.71/10.85  | |          (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 72.71/10.85  | |              e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 72.71/10.85  | |              e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 72.71/10.85  | |              e3)))
% 72.71/10.85  | | 
% 72.71/10.85  | | ALPHA: (9) implies:
% 72.71/10.85  | |   (10)   ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))
% 72.71/10.85  | | 
% 72.71/10.85  | | BETA: splitting (10) gives:
% 72.71/10.85  | | 
% 72.71/10.85  | | Case 1:
% 72.71/10.85  | | | 
% 72.71/10.85  | | |   (11)   ~ (all_10_9 = e3)
% 72.71/10.85  | | | 
% 72.71/10.85  | | | REDUCE: (2), (11) imply:
% 72.71/10.85  | | |   (12)  $false
% 72.71/10.85  | | | 
% 72.71/10.85  | | | CLOSE: (12) is inconsistent.
% 72.71/10.85  | | | 
% 72.71/10.85  | | Case 2:
% 72.71/10.85  | | | 
% 72.71/10.85  | | |   (13)  all_10_6 = e0 &  ~ (unit = e3)
% 72.71/10.85  | | | 
% 72.71/10.85  | | | ALPHA: (13) implies:
% 72.71/10.85  | | |   (14)  all_10_6 = e0
% 72.71/10.85  | | | 
% 72.71/10.85  | | | REF_CLOSE: (3), (4), (14) are inconsistent by sub-proof #180.
% 72.71/10.85  | | | 
% 72.71/10.85  | | End of split
% 72.71/10.85  | | 
% 72.71/10.85  | End of split
% 72.71/10.85  | 
% 72.71/10.85  End of proof
% 72.71/10.85  
% 72.71/10.85  Sub-proof #118 shows that the following formulas are inconsistent:
% 72.71/10.85  ----------------------------------------------------------------
% 72.71/10.85    (1)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 =
% 72.71/10.85             e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 72.71/10.85           (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 =
% 72.71/10.85             e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 72.71/10.85           (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 72.71/10.85             e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) |
% 72.71/10.85           (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 =
% 72.71/10.85             e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.71/10.85           (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11
% 72.71/10.85             = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 72.71/10.85           (all_10_14 = e2 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_14
% 72.71/10.85             = e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 72.71/10.85           ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.85           (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17
% 72.71/10.85             = e0) | (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.71/10.85           (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit =
% 72.71/10.85             e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & (
% 72.71/10.85           ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.71/10.85           (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~ (all_10_23
% 72.71/10.85             = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) | 
% 72.71/10.85           ~ (unit = e0))
% 72.71/10.85    (2)  all_10_18 = e0
% 72.71/10.85    (3)  all_10_19 = e3
% 72.71/10.85    (4)   ~ (e3 = e1)
% 72.71/10.85  
% 72.71/10.85  Begin of proof
% 72.71/10.85  | 
% 72.71/10.85  | ALPHA: (1) implies:
% 72.71/10.85  |   (5)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))
% 72.71/10.85  | 
% 72.71/10.85  | BETA: splitting (5) gives:
% 72.71/10.85  | 
% 72.71/10.85  | Case 1:
% 72.71/10.85  | | 
% 72.71/10.85  | |   (6)   ~ (all_10_18 = e0)
% 72.71/10.85  | | 
% 72.71/10.85  | | REDUCE: (2), (6) imply:
% 72.71/10.85  | |   (7)  $false
% 72.71/10.85  | | 
% 72.71/10.85  | | CLOSE: (7) is inconsistent.
% 72.71/10.85  | | 
% 72.71/10.85  | Case 2:
% 72.71/10.85  | | 
% 72.71/10.85  | |   (8)  all_10_19 = e1 &  ~ (unit = e0)
% 72.71/10.85  | | 
% 72.71/10.85  | | ALPHA: (8) implies:
% 72.71/10.85  | |   (9)  all_10_19 = e1
% 72.71/10.85  | | 
% 72.71/10.85  | | COMBINE_EQS: (3), (9) imply:
% 72.71/10.85  | |   (10)  e3 = e1
% 72.71/10.85  | | 
% 72.71/10.85  | | SIMP: (10) implies:
% 72.71/10.85  | |   (11)  e3 = e1
% 72.71/10.85  | | 
% 72.71/10.85  | | REDUCE: (4), (11) imply:
% 72.71/10.85  | |   (12)  $false
% 72.71/10.85  | | 
% 72.71/10.85  | | CLOSE: (12) is inconsistent.
% 72.71/10.85  | | 
% 72.71/10.85  | End of split
% 72.71/10.85  | 
% 72.71/10.85  End of proof
% 72.71/10.85  
% 72.71/10.85  Sub-proof #119 shows that the following formulas are inconsistent:
% 72.71/10.85  ----------------------------------------------------------------
% 72.71/10.85    (1)  all_8_13 = all_4_8
% 72.71/10.85    (2)  all_8_13 = e3
% 72.71/10.85    (3)   ~ (all_4_8 = e3)
% 72.71/10.85  
% 72.71/10.85  Begin of proof
% 72.71/10.85  | 
% 72.71/10.85  | COMBINE_EQS: (1), (2) imply:
% 72.71/10.85  |   (4)  all_4_8 = e3
% 72.71/10.85  | 
% 72.71/10.85  | SIMP: (4) implies:
% 72.71/10.85  |   (5)  all_4_8 = e3
% 72.71/10.85  | 
% 72.71/10.85  | REDUCE: (3), (5) imply:
% 72.71/10.85  |   (6)  $false
% 72.71/10.85  | 
% 72.71/10.85  | CLOSE: (6) is inconsistent.
% 72.71/10.85  | 
% 72.71/10.85  End of proof
% 72.71/10.85  
% 72.71/10.85  Sub-proof #120 shows that the following formulas are inconsistent:
% 72.71/10.85  ----------------------------------------------------------------
% 72.71/10.85    (1)  all_10_6 = e4
% 72.71/10.85    (2)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 72.71/10.85         e0
% 72.71/10.85    (3)  all_10_5 = all_4_1
% 72.71/10.85    (4)   ~ (all_4_21 = e4)
% 72.71/10.85    (5)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 72.71/10.85         e2
% 72.71/10.85    (6)   ~ (e4 = e0)
% 72.71/10.85    (7)  all_8_3 = e4
% 72.71/10.85    (8)   ~ (all_4_1 = e1)
% 72.71/10.85    (9)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.71/10.85               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.71/10.85               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.71/10.85                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.71/10.85           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.71/10.85               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.71/10.85               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.71/10.85                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.71/10.85           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.71/10.85             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.71/10.85             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.71/10.85             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.71/10.85             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.71/10.85               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.71/10.85           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.71/10.85             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.71/10.85             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.71/10.85             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.71/10.85             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.71/10.85             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.71/10.85             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.71/10.85             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.71/10.85             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.71/10.85               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.71/10.85             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.71/10.85               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.71/10.85             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.71/10.85               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.71/10.85             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.71/10.85               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.71/10.85             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.71/10.85               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.71/10.85           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.71/10.85             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.71/10.85             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.71/10.85             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.71/10.85             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.71/10.85             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.71/10.85             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.71/10.85             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.71/10.85               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.71/10.85           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.71/10.85             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.71/10.85             (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1 =
% 72.71/10.85               e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.71/10.85             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.71/10.85                 e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) &
% 72.71/10.85           ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6
% 72.71/10.85               = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 72.71/10.85             ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 72.71/10.85                 e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) &
% 72.71/10.85           ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 72.71/10.85             (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit = e2))) & ( ~
% 72.71/10.85             (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 72.71/10.85             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 72.71/10.85             (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.71/10.85             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.71/10.85             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.71/10.85               = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.71/10.85           & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.71/10.85             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.71/10.85             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.71/10.85             (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.71/10.85             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.71/10.85             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.71/10.85             (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 72.71/10.85               e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 72.71/10.85               (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.71/10.85             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 =
% 72.71/10.85               e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.71/10.85             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 =
% 72.71/10.85               e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 72.71/10.85             (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10
% 72.71/10.85               = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.71/10.85             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.71/10.85             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit
% 72.71/10.85               = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1)))
% 72.71/10.85           & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.71/10.85             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.71/10.85             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.71/10.85             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.71/10.85             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.71/10.85             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.71/10.85             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.71/10.85             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 72.71/10.85               = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit = e1))))
% 72.71/10.85         | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 =
% 72.71/10.85               e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.71/10.85             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 72.71/10.85               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & (
% 72.71/10.85             ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7
% 72.71/10.85               = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.71/10.85             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 72.71/10.85               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) &
% 72.71/10.85           ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.71/10.85             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.71/10.85             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.71/10.85             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.71/10.85             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.71/10.85               = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.71/10.85           & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.71/10.85             (all_10_24 = e0) |  ~ (unit = e0)))
% 72.71/10.85    (10)  all_10_8 = e3
% 72.71/10.85    (11)   ~ (e3 = e0)
% 72.71/10.85    (12)  all_8_17 = all_4_21
% 72.71/10.85    (13)   ~ (all_4_1 = e3)
% 72.71/10.85    (14)   ~ (e4 = e2)
% 72.71/10.85    (15)  all_8_2 = all_4_1
% 72.71/10.85    (16)   ~ (e3 = e2)
% 72.71/10.85    (17)  all_8_2 = e2
% 72.71/10.85    (18)   ~ (e1 = e0)
% 72.71/10.85    (19)  all_8_10 = e3
% 72.71/10.85    (20)   ~ (e2 = e1)
% 72.71/10.85    (21)   ~ (all_4_21 = e3)
% 72.71/10.85    (22)  all_10_7 = e1
% 72.71/10.85    (23)  all_10_18 = e0
% 72.71/10.85    (24)  all_10_9 = all_4_21
% 72.71/10.85    (25)  all_8_5 = e1
% 72.71/10.85    (26)   ~ (e2 = e0)
% 72.71/10.85    (27)   ~ (e4 = e1)
% 72.71/10.85    (28)  all_10_18 = e2
% 72.71/10.85  
% 72.71/10.85  Begin of proof
% 72.71/10.85  | 
% 72.71/10.85  | COMBINE_EQS: (23), (28) imply:
% 72.71/10.85  |   (29)  e2 = e0
% 72.71/10.85  | 
% 72.71/10.85  | COMBINE_EQS: (17), (29) imply:
% 72.71/10.85  |   (30)  all_8_2 = e0
% 72.71/10.85  | 
% 72.71/10.85  | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 72.71/10.85  |            (13), (14), (15), (16), (18), (19), (20), (21), (22), (24), (25),
% 72.71/10.85  |            (26), (27), (30) are inconsistent by sub-proof #268.
% 72.71/10.85  | 
% 72.71/10.85  End of proof
% 72.71/10.85  
% 72.71/10.85  Sub-proof #121 shows that the following formulas are inconsistent:
% 72.71/10.85  ----------------------------------------------------------------
% 72.71/10.86    (1)   ~ (all_4_0 = e3)
% 72.71/10.86    (2)  all_10_6 = e4
% 72.71/10.86    (3)   ~ (e4 = e0)
% 72.71/10.86    (4)  all_10_0 = all_4_0
% 72.71/10.86    (5)   ~ (e4 = e2)
% 72.71/10.86    (6)   ~ (e4 = e3)
% 72.88/10.86    (7)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.88/10.86           all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4 &
% 72.88/10.86            ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 72.88/10.86             e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 72.88/10.86         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 &
% 72.88/10.86           all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4
% 72.88/10.86           &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7
% 72.88/10.86             = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.86    (8)  all_10_18 = e0
% 72.88/10.86    (9)   ~ (all_4_0 = e0)
% 72.88/10.86    (10)  all_10_12 = e3
% 72.88/10.86  
% 72.88/10.86  Begin of proof
% 72.88/10.86  | 
% 72.88/10.86  | BETA: splitting (7) gives:
% 72.88/10.86  | 
% 72.88/10.86  | Case 1:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (11)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 =
% 72.88/10.86  | |           e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 &
% 72.88/10.86  | |           all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12
% 72.88/10.86  | |           = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 72.88/10.86  | |           (all_10_3 = e4))
% 72.88/10.86  | | 
% 72.88/10.86  | | BETA: splitting (11) gives:
% 72.88/10.86  | | 
% 72.88/10.86  | | Case 1:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (12)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 =
% 72.88/10.86  | | |           e3 & all_10_6 = e4 &  ~ (all_10_5 = e3))
% 72.88/10.86  | | | 
% 72.88/10.86  | | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #181.
% 72.88/10.86  | | | 
% 72.88/10.86  | | Case 2:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (13)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0
% 72.88/10.86  | | |           = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 &
% 72.88/10.86  | | |           all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.88/10.86  | | | 
% 72.88/10.86  | | | REF_CLOSE: (3), (6), (8), (10), (13) are inconsistent by sub-proof #200.
% 72.88/10.86  | | | 
% 72.88/10.86  | | End of split
% 72.88/10.86  | | 
% 72.88/10.86  | Case 2:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (14)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 =
% 72.88/10.86  | |           e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 72.88/10.86  | |           all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12
% 72.88/10.86  | |           = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~
% 72.88/10.86  | |           (all_10_11 = e2))
% 72.88/10.86  | | 
% 72.88/10.86  | | BETA: splitting (14) gives:
% 72.88/10.86  | | 
% 72.88/10.86  | | Case 1:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (15)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0
% 72.88/10.86  | | |           = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4))
% 72.88/10.86  | | | 
% 72.88/10.86  | | | BETA: splitting (15) gives:
% 72.88/10.86  | | | 
% 72.88/10.86  | | | Case 1:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (16)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REF_CLOSE: (3), (8), (16) are inconsistent by sub-proof #199.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | Case 2:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (17)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | ALPHA: (17) implies:
% 72.88/10.86  | | | |   (18)  all_10_0 = e0
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | COMBINE_EQS: (4), (18) imply:
% 72.88/10.86  | | | |   (19)  all_4_0 = e0
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REDUCE: (9), (19) imply:
% 72.88/10.86  | | | |   (20)  $false
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | CLOSE: (20) is inconsistent.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | End of split
% 72.88/10.86  | | | 
% 72.88/10.86  | | Case 2:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (21)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6
% 72.88/10.86  | | |           = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 72.88/10.86  | | |           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.86  | | | 
% 72.88/10.86  | | | BETA: splitting (21) gives:
% 72.88/10.86  | | | 
% 72.88/10.86  | | | Case 1:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (22)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | ALPHA: (22) implies:
% 72.88/10.86  | | | |   (23)  all_10_0 = e0
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | COMBINE_EQS: (4), (23) imply:
% 72.88/10.86  | | | |   (24)  all_4_0 = e0
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REDUCE: (9), (24) imply:
% 72.88/10.86  | | | |   (25)  $false
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | CLOSE: (25) is inconsistent.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | Case 2:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (26)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 72.88/10.86  | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REF_CLOSE: (2), (5), (26) are inconsistent by sub-proof #197.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | End of split
% 72.88/10.86  | | | 
% 72.88/10.86  | | End of split
% 72.88/10.86  | | 
% 72.88/10.86  | End of split
% 72.88/10.86  | 
% 72.88/10.86  End of proof
% 72.88/10.86  
% 72.88/10.86  Sub-proof #122 shows that the following formulas are inconsistent:
% 72.88/10.86  ----------------------------------------------------------------
% 72.88/10.86    (1)  all_8_20 = all_4_4
% 72.88/10.86    (2)  all_8_20 = e3
% 72.88/10.86    (3)   ~ (all_4_4 = e3)
% 72.88/10.86  
% 72.88/10.86  Begin of proof
% 72.88/10.86  | 
% 72.88/10.86  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.86  |   (4)  all_4_4 = e3
% 72.88/10.86  | 
% 72.88/10.86  | SIMP: (4) implies:
% 72.88/10.86  |   (5)  all_4_4 = e3
% 72.88/10.86  | 
% 72.88/10.86  | REDUCE: (3), (5) imply:
% 72.88/10.86  |   (6)  $false
% 72.88/10.86  | 
% 72.88/10.86  | CLOSE: (6) is inconsistent.
% 72.88/10.86  | 
% 72.88/10.86  End of proof
% 72.88/10.86  
% 72.88/10.86  Sub-proof #123 shows that the following formulas are inconsistent:
% 72.88/10.86  ----------------------------------------------------------------
% 72.88/10.86    (1)   ~ (all_4_0 = e3)
% 72.88/10.86    (2)  all_10_6 = e4
% 72.88/10.86    (3)   ~ (e3 = e1)
% 72.88/10.86    (4)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.88/10.86           all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4 &
% 72.88/10.86            ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 72.88/10.86             e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 72.88/10.86         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 &
% 72.88/10.86           all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4
% 72.88/10.86           &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7
% 72.88/10.86             = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2)) |
% 72.88/10.86         (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.88/10.86           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 72.88/10.86           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 72.88/10.86             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 72.88/10.86         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.88/10.86           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 72.88/10.86           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.88/10.86           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 72.88/10.86             e0))
% 72.88/10.86    (5)   ~ (all_4_24 = e0)
% 72.88/10.86    (6)   ~ (e4 = e0)
% 72.88/10.86    (7)  all_10_24 = all_4_24
% 72.88/10.86    (8)   ~ (all_4_19 = e3)
% 72.88/10.86    (9)  all_10_0 = all_4_0
% 72.88/10.86    (10)  all_8_23 = all_4_19
% 72.88/10.86    (11)  all_8_22 = all_4_14
% 72.88/10.86    (12)   ~ (all_4_14 = e3)
% 72.88/10.86    (13)   ~ (e4 = e2)
% 72.88/10.86    (14)   ~ (e4 = e3)
% 72.88/10.86    (15)  all_8_24 = all_4_24
% 72.88/10.86    (16)   ~ (all_4_9 = e3)
% 72.88/10.86    (17)  all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3
% 72.88/10.86    (18)  all_10_18 = e0
% 72.88/10.86    (19)   ~ (e2 = e0)
% 72.88/10.86    (20)  all_10_12 = e3
% 72.88/10.86    (21)  all_8_21 = all_4_9
% 72.88/10.86  
% 72.88/10.86  Begin of proof
% 72.88/10.86  | 
% 72.88/10.86  | BETA: splitting (17) gives:
% 72.88/10.86  | 
% 72.88/10.86  | Case 1:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (22)  all_8_21 = e3
% 72.88/10.86  | | 
% 72.88/10.86  | | REF_CLOSE: (16), (21), (22) are inconsistent by sub-proof #147.
% 72.88/10.86  | | 
% 72.88/10.86  | Case 2:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (23)  all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3
% 72.88/10.86  | | 
% 72.88/10.86  | | BETA: splitting (23) gives:
% 72.88/10.86  | | 
% 72.88/10.86  | | Case 1:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (24)  all_8_22 = e3
% 72.88/10.86  | | | 
% 72.88/10.86  | | | REF_CLOSE: (11), (12), (24) are inconsistent by sub-proof #146.
% 72.88/10.86  | | | 
% 72.88/10.86  | | Case 2:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (25)  all_8_23 = e3 | all_8_24 = e3
% 72.88/10.86  | | | 
% 72.88/10.86  | | | BETA: splitting (25) gives:
% 72.88/10.86  | | | 
% 72.88/10.86  | | | Case 1:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (26)  all_8_23 = e3
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REF_CLOSE: (8), (10), (26) are inconsistent by sub-proof #145.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | Case 2:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (27)  all_8_24 = e3
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | COMBINE_EQS: (15), (27) imply:
% 72.88/10.86  | | | |   (28)  all_4_24 = e3
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | COMBINE_EQS: (7), (28) imply:
% 72.88/10.86  | | | |   (29)  all_10_24 = e3
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REDUCE: (5), (28) imply:
% 72.88/10.86  | | | |   (30)   ~ (e3 = e0)
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REF_CLOSE: (1), (2), (3), (4), (6), (9), (13), (14), (18), (19), (20),
% 72.88/10.86  | | | |            (29), (30) are inconsistent by sub-proof #176.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | End of split
% 72.88/10.86  | | | 
% 72.88/10.86  | | End of split
% 72.88/10.86  | | 
% 72.88/10.86  | End of split
% 72.88/10.86  | 
% 72.88/10.86  End of proof
% 72.88/10.86  
% 72.88/10.86  Sub-proof #124 shows that the following formulas are inconsistent:
% 72.88/10.86  ----------------------------------------------------------------
% 72.88/10.86    (1)  all_6_2 = all_4_10
% 72.88/10.86    (2)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 72.88/10.86    (3)  all_8_4 = all_4_10
% 72.88/10.86    (4)   ~ (all_4_10 = all_4_14)
% 72.88/10.86    (5)   ~ (all_4_14 = e2)
% 72.88/10.86    (6)   ~ (all_4_10 = e1)
% 72.88/10.86    (7)  all_6_22 = e4 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 = e0
% 72.88/10.86    (8)   ~ (all_8_4 = e0)
% 72.88/10.86    (9)  all_6_22 = all_4_14
% 72.88/10.86    (10)   ~ (all_4_14 = e1)
% 72.88/10.86    (11)   ~ (all_4_10 = e2)
% 72.88/10.86    (12)   ~ (all_4_14 = e0)
% 72.88/10.86  
% 72.88/10.86  Begin of proof
% 72.88/10.86  | 
% 72.88/10.86  | REDUCE: (3), (8) imply:
% 72.88/10.86  |   (13)   ~ (all_4_10 = e0)
% 72.88/10.86  | 
% 72.88/10.86  | BETA: splitting (7) gives:
% 72.88/10.86  | 
% 72.88/10.86  | Case 1:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (14)  all_6_22 = e2
% 72.88/10.86  | | 
% 72.88/10.86  | | COMBINE_EQS: (9), (14) imply:
% 72.88/10.86  | |   (15)  all_4_14 = e2
% 72.88/10.86  | | 
% 72.88/10.86  | | REDUCE: (5), (15) imply:
% 72.88/10.86  | |   (16)  $false
% 72.88/10.86  | | 
% 72.88/10.86  | | CLOSE: (16) is inconsistent.
% 72.88/10.86  | | 
% 72.88/10.86  | Case 2:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (17)  all_6_22 = e4 | all_6_22 = e1 | all_6_22 = e0
% 72.88/10.86  | | 
% 72.88/10.86  | | BETA: splitting (17) gives:
% 72.88/10.86  | | 
% 72.88/10.86  | | Case 1:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (18)  all_6_22 = e1
% 72.88/10.86  | | | 
% 72.88/10.86  | | | COMBINE_EQS: (9), (18) imply:
% 72.88/10.86  | | |   (19)  all_4_14 = e1
% 72.88/10.86  | | | 
% 72.88/10.86  | | | REDUCE: (10), (19) imply:
% 72.88/10.86  | | |   (20)  $false
% 72.88/10.86  | | | 
% 72.88/10.86  | | | CLOSE: (20) is inconsistent.
% 72.88/10.86  | | | 
% 72.88/10.86  | | Case 2:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (21)  all_6_22 = e4 | all_6_22 = e0
% 72.88/10.86  | | | 
% 72.88/10.86  | | | BETA: splitting (21) gives:
% 72.88/10.86  | | | 
% 72.88/10.86  | | | Case 1:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (22)  all_6_22 = e4
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | COMBINE_EQS: (9), (22) imply:
% 72.88/10.86  | | | |   (23)  all_4_14 = e4
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REDUCE: (4), (23) imply:
% 72.88/10.86  | | | |   (24)   ~ (all_4_10 = e4)
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REF_CLOSE: (1), (2), (6), (11), (13), (24) are inconsistent by sub-proof
% 72.88/10.86  | | | |            #125.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | Case 2:
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | |   (25)  all_6_22 = e0
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | COMBINE_EQS: (9), (25) imply:
% 72.88/10.86  | | | |   (26)  all_4_14 = e0
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | REDUCE: (12), (26) imply:
% 72.88/10.86  | | | |   (27)  $false
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | | CLOSE: (27) is inconsistent.
% 72.88/10.86  | | | | 
% 72.88/10.86  | | | End of split
% 72.88/10.86  | | | 
% 72.88/10.86  | | End of split
% 72.88/10.86  | | 
% 72.88/10.86  | End of split
% 72.88/10.86  | 
% 72.88/10.86  End of proof
% 72.88/10.86  
% 72.88/10.86  Sub-proof #125 shows that the following formulas are inconsistent:
% 72.88/10.86  ----------------------------------------------------------------
% 72.88/10.86    (1)  all_6_2 = all_4_10
% 72.88/10.86    (2)  all_6_2 = e4 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 72.88/10.86    (3)   ~ (all_4_10 = e0)
% 72.88/10.86    (4)   ~ (all_4_10 = e4)
% 72.88/10.86    (5)   ~ (all_4_10 = e1)
% 72.88/10.86    (6)   ~ (all_4_10 = e2)
% 72.88/10.86  
% 72.88/10.86  Begin of proof
% 72.88/10.86  | 
% 72.88/10.86  | BETA: splitting (2) gives:
% 72.88/10.86  | 
% 72.88/10.86  | Case 1:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (7)  all_6_2 = e2
% 72.88/10.86  | | 
% 72.88/10.86  | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #129.
% 72.88/10.86  | | 
% 72.88/10.86  | Case 2:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (8)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 72.88/10.86  | | 
% 72.88/10.86  | | REF_CLOSE: (1), (3), (4), (5), (8) are inconsistent by sub-proof #126.
% 72.88/10.86  | | 
% 72.88/10.86  | End of split
% 72.88/10.86  | 
% 72.88/10.86  End of proof
% 72.88/10.86  
% 72.88/10.86  Sub-proof #126 shows that the following formulas are inconsistent:
% 72.88/10.86  ----------------------------------------------------------------
% 72.88/10.86    (1)  all_6_2 = all_4_10
% 72.88/10.86    (2)   ~ (all_4_10 = e0)
% 72.88/10.86    (3)   ~ (all_4_10 = e4)
% 72.88/10.86    (4)   ~ (all_4_10 = e1)
% 72.88/10.86    (5)  all_6_2 = e4 | all_6_2 = e1 | all_6_2 = e0
% 72.88/10.86  
% 72.88/10.86  Begin of proof
% 72.88/10.86  | 
% 72.88/10.86  | BETA: splitting (5) gives:
% 72.88/10.86  | 
% 72.88/10.86  | Case 1:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (6)  all_6_2 = e1
% 72.88/10.86  | | 
% 72.88/10.86  | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #128.
% 72.88/10.86  | | 
% 72.88/10.86  | Case 2:
% 72.88/10.86  | | 
% 72.88/10.86  | |   (7)  all_6_2 = e4 | all_6_2 = e0
% 72.88/10.86  | | 
% 72.88/10.86  | | BETA: splitting (7) gives:
% 72.88/10.86  | | 
% 72.88/10.86  | | Case 1:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (8)  all_6_2 = e4
% 72.88/10.86  | | | 
% 72.88/10.86  | | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #127.
% 72.88/10.86  | | | 
% 72.88/10.86  | | Case 2:
% 72.88/10.86  | | | 
% 72.88/10.86  | | |   (9)  all_6_2 = e0
% 72.88/10.87  | | | 
% 72.88/10.87  | | | COMBINE_EQS: (1), (9) imply:
% 72.88/10.87  | | |   (10)  all_4_10 = e0
% 72.88/10.87  | | | 
% 72.88/10.87  | | | SIMP: (10) implies:
% 72.88/10.87  | | |   (11)  all_4_10 = e0
% 72.88/10.87  | | | 
% 72.88/10.87  | | | REDUCE: (2), (11) imply:
% 72.88/10.87  | | |   (12)  $false
% 72.88/10.87  | | | 
% 72.88/10.87  | | | CLOSE: (12) is inconsistent.
% 72.88/10.87  | | | 
% 72.88/10.87  | | End of split
% 72.88/10.87  | | 
% 72.88/10.87  | End of split
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #127 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_2 = all_4_10
% 72.88/10.87    (2)  all_6_2 = e4
% 72.88/10.87    (3)   ~ (all_4_10 = e4)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.87  |   (4)  all_4_10 = e4
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (4) implies:
% 72.88/10.87  |   (5)  all_4_10 = e4
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (5) imply:
% 72.88/10.87  |   (6)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (6) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #128 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_2 = all_4_10
% 72.88/10.87    (2)  all_6_2 = e1
% 72.88/10.87    (3)   ~ (all_4_10 = e1)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.87  |   (4)  all_4_10 = e1
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (4) implies:
% 72.88/10.87  |   (5)  all_4_10 = e1
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (5) imply:
% 72.88/10.87  |   (6)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (6) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #129 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_2 = all_4_10
% 72.88/10.87    (2)  all_6_2 = e2
% 72.88/10.87    (3)   ~ (all_4_10 = e2)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.87  |   (4)  all_4_10 = e2
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (4) implies:
% 72.88/10.87  |   (5)  all_4_10 = e2
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (5) imply:
% 72.88/10.87  |   (6)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (6) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #130 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_20 = e4 | all_6_20 = e0
% 72.88/10.87    (2)  all_6_20 = all_4_4
% 72.88/10.87    (3)   ~ (all_4_4 = e4)
% 72.88/10.87    (4)   ~ (all_4_4 = e0)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | BETA: splitting (1) gives:
% 72.88/10.87  | 
% 72.88/10.87  | Case 1:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (5)  all_6_20 = e4
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (2), (5) imply:
% 72.88/10.87  | |   (6)  all_4_4 = e4
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (3), (6) imply:
% 72.88/10.87  | |   (7)  $false
% 72.88/10.87  | | 
% 72.88/10.87  | | CLOSE: (7) is inconsistent.
% 72.88/10.87  | | 
% 72.88/10.87  | Case 2:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (8)  all_6_20 = e0
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (2), (8) imply:
% 72.88/10.87  | |   (9)  all_4_4 = e0
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (4), (9) imply:
% 72.88/10.87  | |   (10)  $false
% 72.88/10.87  | | 
% 72.88/10.87  | | CLOSE: (10) is inconsistent.
% 72.88/10.87  | | 
% 72.88/10.87  | End of split
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #131 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_11 = all_4_7
% 72.88/10.87    (2)   ~ (all_4_7 = e4)
% 72.88/10.87    (3)  all_6_11 = e4 | all_6_11 = e1 | all_6_11 = e0
% 72.88/10.87    (4)   ~ (all_4_7 = e1)
% 72.88/10.87    (5)   ~ (all_4_7 = e0)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | BETA: splitting (3) gives:
% 72.88/10.87  | 
% 72.88/10.87  | Case 1:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (6)  all_6_11 = e1
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (1), (6) imply:
% 72.88/10.87  | |   (7)  all_4_7 = e1
% 72.88/10.87  | | 
% 72.88/10.87  | | SIMP: (7) implies:
% 72.88/10.87  | |   (8)  all_4_7 = e1
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (4), (8) imply:
% 72.88/10.87  | |   (9)  $false
% 72.88/10.87  | | 
% 72.88/10.87  | | CLOSE: (9) is inconsistent.
% 72.88/10.87  | | 
% 72.88/10.87  | Case 2:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (10)  all_6_11 = e4 | all_6_11 = e0
% 72.88/10.87  | | 
% 72.88/10.87  | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #132.
% 72.88/10.87  | | 
% 72.88/10.87  | End of split
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #132 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_11 = e4 | all_6_11 = e0
% 72.88/10.87    (2)  all_6_11 = all_4_7
% 72.88/10.87    (3)   ~ (all_4_7 = e4)
% 72.88/10.87    (4)   ~ (all_4_7 = e0)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | BETA: splitting (1) gives:
% 72.88/10.87  | 
% 72.88/10.87  | Case 1:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (5)  all_6_11 = e4
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (2), (5) imply:
% 72.88/10.87  | |   (6)  all_4_7 = e4
% 72.88/10.87  | | 
% 72.88/10.87  | | SIMP: (6) implies:
% 72.88/10.87  | |   (7)  all_4_7 = e4
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (3), (7) imply:
% 72.88/10.87  | |   (8)  $false
% 72.88/10.87  | | 
% 72.88/10.87  | | CLOSE: (8) is inconsistent.
% 72.88/10.87  | | 
% 72.88/10.87  | Case 2:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (9)  all_6_11 = e0
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (2), (9) imply:
% 72.88/10.87  | |   (10)  all_4_7 = e0
% 72.88/10.87  | | 
% 72.88/10.87  | | SIMP: (10) implies:
% 72.88/10.87  | |   (11)  all_4_7 = e0
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (4), (11) imply:
% 72.88/10.87  | |   (12)  $false
% 72.88/10.87  | | 
% 72.88/10.87  | | CLOSE: (12) is inconsistent.
% 72.88/10.87  | | 
% 72.88/10.87  | End of split
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #133 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  op(unit, e3) = e3
% 72.88/10.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.88/10.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.88/10.87    (3)  unit = e2
% 72.88/10.87    (4)  op(e3, e2) = e1
% 72.88/10.87    (5)  op(e2, e3) = e2
% 72.88/10.87    (6)   ~ (e2 = e1)
% 72.88/10.87    (7)  op(e3, unit) = e3
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (1), (3) imply:
% 72.88/10.87  |   (8)  op(e2, e3) = e3
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (7) imply:
% 72.88/10.87  |   (9)  op(e3, e2) = e3
% 72.88/10.87  | 
% 72.88/10.87  | REF_CLOSE: (2), (4), (5), (6), (8), (9) are inconsistent by sub-proof #134.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #134 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  op(e3, e2) = e3
% 72.88/10.87    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.88/10.87           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.88/10.87    (3)  op(e3, e2) = e1
% 72.88/10.87    (4)  op(e2, e3) = e2
% 72.88/10.87    (5)  op(e2, e3) = e3
% 72.88/10.87    (6)   ~ (e2 = e1)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | GROUND_INST: instantiating (2) with e2, e3, e3, e2, simplifying with (4), (5)
% 72.88/10.87  |              gives:
% 72.88/10.87  |   (7)  e3 = e2
% 72.88/10.87  | 
% 72.88/10.87  | GROUND_INST: instantiating (2) with e1, e3, e2, e3, simplifying with (1), (3)
% 72.88/10.87  |              gives:
% 72.88/10.87  |   (8)  e3 = e1
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (7), (8) imply:
% 72.88/10.87  |   (9)  e2 = e1
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (9) implies:
% 72.88/10.87  |   (10)  e2 = e1
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (6), (10) imply:
% 72.88/10.87  |   (11)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (11) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #135 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)   ~ (e3 = e1)
% 72.88/10.87    (2)  all_8_1 = e1
% 72.88/10.87    (3)  all_8_13 = e3
% 72.88/10.87    (4)  all_10_14 = all_4_22
% 72.88/10.87    (5)   ~ (e4 = e0)
% 72.88/10.87    (6)  all_10_24 = e1
% 72.88/10.87    (7)  all_8_3 = e4
% 72.88/10.87    (8)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.88/10.87         e0
% 72.88/10.87    (9)  all_10_21 = all_4_9
% 72.88/10.87    (10)   ~ (e3 = e0)
% 72.88/10.87    (11)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))
% 72.88/10.87    (12)   ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))
% 72.88/10.87    (13)  all_8_7 = all_4_7
% 72.88/10.87    (14)   ~ (e1 = e0)
% 72.88/10.87    (15)  all_10_11 = all_4_7
% 72.88/10.87    (16)   ~ (all_4_22 = e3)
% 72.88/10.87    (17)  all_8_21 = all_4_9
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | BETA: splitting (12) gives:
% 72.88/10.87  | 
% 72.88/10.87  | Case 1:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (18)   ~ (all_10_21 = e0)
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (9), (18) imply:
% 72.88/10.87  | |   (19)   ~ (all_4_9 = e0)
% 72.88/10.87  | | 
% 72.88/10.87  | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10), (11), (13), (14), (15), (16),
% 72.88/10.87  | |            (17), (19) are inconsistent by sub-proof #218.
% 72.88/10.87  | | 
% 72.88/10.87  | Case 2:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (20)  all_10_24 = e3 &  ~ (unit = e0)
% 72.88/10.87  | | 
% 72.88/10.87  | | ALPHA: (20) implies:
% 72.88/10.87  | |   (21)  all_10_24 = e3
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (6), (21) imply:
% 72.88/10.87  | |   (22)  e3 = e1
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (1), (22) imply:
% 72.88/10.87  | |   (23)  $false
% 72.88/10.87  | | 
% 72.88/10.87  | | CLOSE: (23) is inconsistent.
% 72.88/10.87  | | 
% 72.88/10.87  | End of split
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #136 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_20 = all_4_4
% 72.88/10.87    (2)  all_6_20 = e2
% 72.88/10.87    (3)   ~ (all_4_4 = e2)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.87  |   (4)  all_4_4 = e2
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (4) implies:
% 72.88/10.87  |   (5)  all_4_4 = e2
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (5) imply:
% 72.88/10.87  |   (6)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (6) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #137 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_8_0 = e3
% 72.88/10.87    (2)  all_8_0 = e1
% 72.88/10.87    (3)   ~ (e3 = e1)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.87  |   (4)  e3 = e1
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (4) implies:
% 72.88/10.87  |   (5)  e3 = e1
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (5) imply:
% 72.88/10.87  |   (6)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (6) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #138 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_8_8 = e4
% 72.88/10.87    (2)  all_8_8 = e3
% 72.88/10.87    (3)   ~ (e4 = e3)
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.87  |   (4)  e4 = e3
% 72.88/10.87  | 
% 72.88/10.87  | SIMP: (4) implies:
% 72.88/10.87  |   (5)  e4 = e3
% 72.88/10.87  | 
% 72.88/10.87  | REDUCE: (3), (5) imply:
% 72.88/10.87  |   (6)  $false
% 72.88/10.87  | 
% 72.88/10.87  | CLOSE: (6) is inconsistent.
% 72.88/10.87  | 
% 72.88/10.87  End of proof
% 72.88/10.87  
% 72.88/10.87  Sub-proof #139 shows that the following formulas are inconsistent:
% 72.88/10.87  ----------------------------------------------------------------
% 72.88/10.87    (1)  all_6_17 = e4 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0
% 72.88/10.87    (2)  all_8_14 = all_4_13
% 72.88/10.87    (3)   ~ (all_4_13 = e1)
% 72.88/10.87    (4)  all_8_13 = e3
% 72.88/10.87    (5)  all_8_12 = e1
% 72.88/10.87    (6)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19
% 72.88/10.87         = e4
% 72.88/10.87    (7)   ~ (e4 = e0)
% 72.88/10.87    (8)  all_8_15 = e0
% 72.88/10.87    (9)  all_10_19 = all_4_23
% 72.88/10.87    (10)   ~ (e4 = e3)
% 72.88/10.87    (11)   ~ (all_4_13 = e4)
% 72.88/10.87    (12)  all_8_19 = all_4_23
% 72.88/10.87    (13)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))
% 72.88/10.87    (14)  all_10_18 = e0
% 72.88/10.87    (15)   ~ (e4 = e1)
% 72.88/10.87    (16)   ~ (all_4_13 = e0)
% 72.88/10.87    (17)  all_6_17 = all_4_13
% 72.88/10.87  
% 72.88/10.87  Begin of proof
% 72.88/10.87  | 
% 72.88/10.87  | BETA: splitting (1) gives:
% 72.88/10.87  | 
% 72.88/10.87  | Case 1:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (18)  all_6_17 = e2
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (17), (18) imply:
% 72.88/10.87  | |   (19)  all_4_13 = e2
% 72.88/10.87  | | 
% 72.88/10.87  | | SIMP: (19) implies:
% 72.88/10.87  | |   (20)  all_4_13 = e2
% 72.88/10.87  | | 
% 72.88/10.87  | | COMBINE_EQS: (2), (20) imply:
% 72.88/10.87  | |   (21)  all_8_14 = e2
% 72.88/10.87  | | 
% 72.88/10.87  | | REDUCE: (11), (20) imply:
% 72.88/10.87  | |   (22)   ~ (e4 = e2)
% 72.88/10.87  | | 
% 72.88/10.87  | | SIMP: (22) implies:
% 72.88/10.87  | |   (23)   ~ (e4 = e2)
% 72.88/10.87  | | 
% 72.88/10.87  | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (10), (12), (13), (14), (15), (21),
% 72.88/10.87  | |            (23) are inconsistent by sub-proof #162.
% 72.88/10.87  | | 
% 72.88/10.87  | Case 2:
% 72.88/10.87  | | 
% 72.88/10.87  | |   (24)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 72.88/10.87  | | 
% 72.88/10.88  | | REF_CLOSE: (3), (11), (16), (17), (24) are inconsistent by sub-proof #140.
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #140 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)   ~ (all_4_13 = e1)
% 72.88/10.88    (2)   ~ (all_4_13 = e4)
% 72.88/10.88    (3)  all_6_17 = e4 | all_6_17 = e1 | all_6_17 = e0
% 72.88/10.88    (4)   ~ (all_4_13 = e0)
% 72.88/10.88    (5)  all_6_17 = all_4_13
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (3) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (6)  all_6_17 = e1
% 72.88/10.88  | | 
% 72.88/10.88  | | COMBINE_EQS: (5), (6) imply:
% 72.88/10.88  | |   (7)  all_4_13 = e1
% 72.88/10.88  | | 
% 72.88/10.88  | | REDUCE: (1), (7) imply:
% 72.88/10.88  | |   (8)  $false
% 72.88/10.88  | | 
% 72.88/10.88  | | CLOSE: (8) is inconsistent.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (9)  all_6_17 = e4 | all_6_17 = e0
% 72.88/10.88  | | 
% 72.88/10.88  | | BETA: splitting (9) gives:
% 72.88/10.88  | | 
% 72.88/10.88  | | Case 1:
% 72.88/10.88  | | | 
% 72.88/10.88  | | |   (10)  all_6_17 = e4
% 72.88/10.88  | | | 
% 72.88/10.88  | | | COMBINE_EQS: (5), (10) imply:
% 72.88/10.88  | | |   (11)  all_4_13 = e4
% 72.88/10.88  | | | 
% 72.88/10.88  | | | REDUCE: (2), (11) imply:
% 72.88/10.88  | | |   (12)  $false
% 72.88/10.88  | | | 
% 72.88/10.88  | | | CLOSE: (12) is inconsistent.
% 72.88/10.88  | | | 
% 72.88/10.88  | | Case 2:
% 72.88/10.88  | | | 
% 72.88/10.88  | | |   (13)  all_6_17 = e0
% 72.88/10.88  | | | 
% 72.88/10.88  | | | COMBINE_EQS: (5), (13) imply:
% 72.88/10.88  | | |   (14)  all_4_13 = e0
% 72.88/10.88  | | | 
% 72.88/10.88  | | | REDUCE: (4), (14) imply:
% 72.88/10.88  | | |   (15)  $false
% 72.88/10.88  | | | 
% 72.88/10.88  | | | CLOSE: (15) is inconsistent.
% 72.88/10.88  | | | 
% 72.88/10.88  | | End of split
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #141 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_2 = e2
% 72.88/10.88    (2)  all_8_2 = e0
% 72.88/10.88    (3)   ~ (e2 = e0)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  e2 = e0
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  e2 = e0
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #142 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_14 = all_4_13
% 72.88/10.88    (2)  all_8_14 = e1
% 72.88/10.88    (3)   ~ (all_4_13 = e1)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_13 = e1
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_13 = e1
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #143 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_6_11 = all_4_7
% 72.88/10.88    (2)  all_6_11 = e3
% 72.88/10.88    (3)   ~ (all_4_7 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_7 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_7 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #144 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_6_2 = all_4_10
% 72.88/10.88    (2)  all_6_2 = e3
% 72.88/10.88    (3)   ~ (all_4_10 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_10 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_10 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #145 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_23 = all_4_19
% 72.88/10.88    (2)  all_8_23 = e3
% 72.88/10.88    (3)   ~ (all_4_19 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_19 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_19 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #146 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_22 = all_4_14
% 72.88/10.88    (2)  all_8_22 = e3
% 72.88/10.88    (3)   ~ (all_4_14 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_14 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_14 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #147 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_21 = all_4_9
% 72.88/10.88    (2)  all_8_21 = e3
% 72.88/10.88    (3)   ~ (all_4_9 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_9 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_9 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #148 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_9 = all_4_15
% 72.88/10.88    (2)  all_8_4 = all_4_10
% 72.88/10.88    (3)   ~ (all_4_10 = e3)
% 72.88/10.88    (4)   ~ (all_4_20 = e3)
% 72.88/10.88    (5)   ~ (all_4_15 = e3)
% 72.88/10.88    (6)  all_8_16 = all_4_20
% 72.88/10.88    (7)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (7) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (8)  all_8_4 = e3
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #150.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (9)  all_8_9 = e3 | all_8_16 = e3
% 72.88/10.88  | | 
% 72.88/10.88  | | BETA: splitting (9) gives:
% 72.88/10.88  | | 
% 72.88/10.88  | | Case 1:
% 72.88/10.88  | | | 
% 72.88/10.88  | | |   (10)  all_8_9 = e3
% 72.88/10.88  | | | 
% 72.88/10.88  | | | REF_CLOSE: (1), (5), (10) are inconsistent by sub-proof #267.
% 72.88/10.88  | | | 
% 72.88/10.88  | | Case 2:
% 72.88/10.88  | | | 
% 72.88/10.88  | | |   (11)  all_8_16 = e3
% 72.88/10.88  | | | 
% 72.88/10.88  | | | REF_CLOSE: (4), (6), (11) are inconsistent by sub-proof #149.
% 72.88/10.88  | | | 
% 72.88/10.88  | | End of split
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #149 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_16 = all_4_20
% 72.88/10.88    (2)  all_8_16 = e3
% 72.88/10.88    (3)   ~ (all_4_20 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_20 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_20 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #150 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_4 = all_4_10
% 72.88/10.88    (2)  all_8_4 = e3
% 72.88/10.88    (3)   ~ (all_4_10 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_10 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_10 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #151 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_1 = all_4_5
% 72.88/10.88    (2)  all_8_1 = e3
% 72.88/10.88    (3)   ~ (all_4_5 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_5 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_5 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #152 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_8_0 = all_4_0
% 72.88/10.88    (2)  all_8_0 = e3
% 72.88/10.88    (3)   ~ (all_4_0 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_0 = e3
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_0 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #153 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_10_4 = e4 &  ~ (unit = e0)
% 72.88/10.88    (2)  all_10_4 = e3
% 72.88/10.88    (3)   ~ (e4 = e3)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | ALPHA: (1) implies:
% 72.88/10.88  |   (4)  all_10_4 = e4
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.88  |   (5)  e4 = e3
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #154 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_6_0 = e4 | all_6_0 = e0
% 72.88/10.88    (2)  all_6_0 = all_4_0
% 72.88/10.88    (3)   ~ (all_4_0 = e4)
% 72.88/10.88    (4)   ~ (all_4_0 = e0)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (1) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (5)  all_6_0 = e4
% 72.88/10.88  | | 
% 72.88/10.88  | | COMBINE_EQS: (2), (5) imply:
% 72.88/10.88  | |   (6)  all_4_0 = e4
% 72.88/10.88  | | 
% 72.88/10.88  | | SIMP: (6) implies:
% 72.88/10.88  | |   (7)  all_4_0 = e4
% 72.88/10.88  | | 
% 72.88/10.88  | | REDUCE: (3), (7) imply:
% 72.88/10.88  | |   (8)  $false
% 72.88/10.88  | | 
% 72.88/10.88  | | CLOSE: (8) is inconsistent.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (9)  all_6_0 = e0
% 72.88/10.88  | | 
% 72.88/10.88  | | COMBINE_EQS: (2), (9) imply:
% 72.88/10.88  | |   (10)  all_4_0 = e0
% 72.88/10.88  | | 
% 72.88/10.88  | | SIMP: (10) implies:
% 72.88/10.88  | |   (11)  all_4_0 = e0
% 72.88/10.88  | | 
% 72.88/10.88  | | REDUCE: (4), (11) imply:
% 72.88/10.88  | |   (12)  $false
% 72.88/10.88  | | 
% 72.88/10.88  | | CLOSE: (12) is inconsistent.
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #155 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_10_24 = all_4_24
% 72.88/10.88    (2)   ~ (e3 = e0)
% 72.88/10.88    (3)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0
% 72.88/10.88           & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 =
% 72.88/10.88           e1 &  ~ (all_10_23 = e0))
% 72.88/10.88    (4)   ~ (all_4_24 = e1)
% 72.88/10.88    (5)  all_10_12 = e3
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (3) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (6)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)
% 72.88/10.88  | | 
% 72.88/10.88  | | ALPHA: (6) implies:
% 72.88/10.88  | |   (7)  all_10_12 = e0
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #159.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (8)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18
% 72.88/10.88  | |          = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #156.
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #156 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0
% 72.88/10.88           & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.88    (2)  all_10_24 = all_4_24
% 72.88/10.88    (3)   ~ (all_4_24 = e1)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (1) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (4)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)
% 72.88/10.88  | | 
% 72.88/10.88  | | ALPHA: (4) implies:
% 72.88/10.88  | |   (5)  all_10_24 = e1
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #157.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (6)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0)
% 72.88/10.88  | | 
% 72.88/10.88  | | ALPHA: (6) implies:
% 72.88/10.88  | |   (7)  all_10_24 = e1
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #157.
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #157 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_10_24 = all_4_24
% 72.88/10.88    (2)  all_10_24 = e1
% 72.88/10.88    (3)   ~ (all_4_24 = e1)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  all_4_24 = e1
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  all_4_24 = e1
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #158 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)   ~ (e3 = e0)
% 72.88/10.88    (2)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.88/10.88           & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 72.88/10.88    (3)  all_10_18 = e0
% 72.88/10.88    (4)   ~ (e2 = e0)
% 72.88/10.88    (5)  all_10_12 = e3
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (2) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (6)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #193.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (7)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 72.88/10.88  | | 
% 72.88/10.88  | | ALPHA: (7) implies:
% 72.88/10.88  | |   (8)  all_10_12 = e0
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #159.
% 72.88/10.88  | | 
% 72.88/10.88  | End of split
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #159 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)  all_10_12 = e3
% 72.88/10.88    (2)  all_10_12 = e0
% 72.88/10.88    (3)   ~ (e3 = e0)
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.88  |   (4)  e3 = e0
% 72.88/10.88  | 
% 72.88/10.88  | SIMP: (4) implies:
% 72.88/10.88  |   (5)  e3 = e0
% 72.88/10.88  | 
% 72.88/10.88  | REDUCE: (3), (5) imply:
% 72.88/10.88  |   (6)  $false
% 72.88/10.88  | 
% 72.88/10.88  | CLOSE: (6) is inconsistent.
% 72.88/10.88  | 
% 72.88/10.88  End of proof
% 72.88/10.88  
% 72.88/10.88  Sub-proof #160 shows that the following formulas are inconsistent:
% 72.88/10.88  ----------------------------------------------------------------
% 72.88/10.88    (1)   ~ (all_4_0 = e3)
% 72.88/10.88    (2)  all_10_6 = e4
% 72.88/10.88    (3)   ~ (e3 = e1)
% 72.88/10.88    (4)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.88/10.88           all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4 &
% 72.88/10.88            ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 72.88/10.88             e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 72.88/10.88         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 &
% 72.88/10.88           all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4
% 72.88/10.88           &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7
% 72.88/10.88             = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2)) |
% 72.88/10.88         (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.88/10.88           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 72.88/10.88           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 72.88/10.88             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 72.88/10.88         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.88/10.88           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 72.88/10.88           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.88/10.88           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 72.88/10.88             e0))
% 72.88/10.88    (5)   ~ (e4 = e0)
% 72.88/10.88    (6)  all_10_0 = all_4_0
% 72.88/10.88    (7)   ~ (e3 = e0)
% 72.88/10.88    (8)   ~ (e4 = e2)
% 72.88/10.88    (9)   ~ (e4 = e3)
% 72.88/10.88    (10)  all_10_18 = e0
% 72.88/10.88    (11)   ~ (e2 = e0)
% 72.88/10.88    (12)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 72.88/10.88            all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 =
% 72.88/10.88            e2 &  ~ (all_10_13 = e2))
% 72.88/10.88    (13)  all_10_12 = e3
% 72.88/10.88  
% 72.88/10.88  Begin of proof
% 72.88/10.88  | 
% 72.88/10.88  | BETA: splitting (12) gives:
% 72.88/10.88  | 
% 72.88/10.88  | Case 1:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (14)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 72.88/10.88  | | 
% 72.88/10.88  | | ALPHA: (14) implies:
% 72.88/10.88  | |   (15)  all_10_24 = e3
% 72.88/10.88  | | 
% 72.88/10.88  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 72.88/10.88  | |            (15) are inconsistent by sub-proof #176.
% 72.88/10.88  | | 
% 72.88/10.88  | Case 2:
% 72.88/10.88  | | 
% 72.88/10.88  | |   (16)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12
% 72.88/10.88  | |           = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.88  | | 
% 72.88/10.88  | | BETA: splitting (16) gives:
% 72.88/10.88  | | 
% 72.88/10.88  | | Case 1:
% 72.88/10.88  | | | 
% 72.88/10.88  | | |   (17)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 72.88/10.88  | | | 
% 72.88/10.88  | | | ALPHA: (17) implies:
% 72.88/10.88  | | |   (18)  all_10_24 = e3
% 72.88/10.88  | | | 
% 72.88/10.88  | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 72.88/10.88  | | |            (18) are inconsistent by sub-proof #176.
% 72.88/10.88  | | | 
% 72.88/10.88  | | Case 2:
% 72.88/10.88  | | | 
% 72.88/10.89  | | |   (19)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 72.88/10.89  | | | 
% 72.88/10.89  | | | REF_CLOSE: (10), (11), (19) are inconsistent by sub-proof #194.
% 72.88/10.89  | | | 
% 72.88/10.89  | | End of split
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #161 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_10_6 = e4
% 72.88/10.89    (2)  all_8_13 = e3
% 72.88/10.89    (3)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19
% 72.88/10.89         = e4
% 72.88/10.89    (4)   ~ (e4 = e0)
% 72.88/10.89    (5)  all_8_14 = e2
% 72.88/10.89    (6)  all_10_18 = e3
% 72.88/10.89    (7)  all_8_15 = e0
% 72.88/10.89    (8)  all_8_12 = e4
% 72.88/10.89    (9)   ~ (e4 = e2)
% 72.88/10.89    (10)  all_10_19 = all_4_23
% 72.88/10.89    (11)   ~ (e4 = e3)
% 72.88/10.89    (12)  all_8_19 = all_4_23
% 72.88/10.89    (13)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))
% 72.88/10.89    (14)  all_10_18 = e0
% 72.88/10.89    (15)   ~ (e4 = e1)
% 72.88/10.89    (16)  all_10_6 = e1
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (16) imply:
% 72.88/10.89  |   (17)  e4 = e1
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (17) implies:
% 72.88/10.89  |   (18)  e4 = e1
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (6), (14) imply:
% 72.88/10.89  |   (19)  e3 = e0
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (8), (18) imply:
% 72.88/10.89  |   (20)  all_8_12 = e1
% 72.88/10.89  | 
% 72.88/10.89  | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (11), (12), (13), (14), (15),
% 72.88/10.89  |            (20) are inconsistent by sub-proof #162.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #162 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_13 = e3
% 72.88/10.89    (2)  all_8_12 = e1
% 72.88/10.89    (3)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19
% 72.88/10.89         = e4
% 72.88/10.89    (4)   ~ (e4 = e0)
% 72.88/10.89    (5)  all_8_14 = e2
% 72.88/10.89    (6)  all_8_15 = e0
% 72.88/10.89    (7)   ~ (e4 = e2)
% 72.88/10.89    (8)  all_10_19 = all_4_23
% 72.88/10.89    (9)   ~ (e4 = e3)
% 72.88/10.89    (10)  all_8_19 = all_4_23
% 72.88/10.89    (11)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))
% 72.88/10.89    (12)  all_10_18 = e0
% 72.88/10.89    (13)   ~ (e4 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (3) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (14)  all_8_12 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (2), (14) imply:
% 72.88/10.89  | |   (15)  e4 = e1
% 72.88/10.89  | | 
% 72.88/10.89  | | REDUCE: (13), (15) imply:
% 72.88/10.89  | |   (16)  $false
% 72.88/10.89  | | 
% 72.88/10.89  | | CLOSE: (16) is inconsistent.
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (17)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13), (17)
% 72.88/10.89  | |            are inconsistent by sub-proof #163.
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #163 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_13 = e3
% 72.88/10.89    (2)   ~ (e4 = e0)
% 72.88/10.89    (3)  all_8_14 = e2
% 72.88/10.89    (4)  all_8_15 = e0
% 72.88/10.89    (5)   ~ (e4 = e2)
% 72.88/10.89    (6)  all_10_19 = all_4_23
% 72.88/10.89    (7)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.88/10.89    (8)   ~ (e4 = e3)
% 72.88/10.89    (9)  all_8_19 = all_4_23
% 72.88/10.89    (10)   ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~ (unit = e0))
% 72.88/10.89    (11)  all_10_18 = e0
% 72.88/10.89    (12)   ~ (e4 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (10) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (13)   ~ (all_10_18 = e0)
% 72.88/10.89  | | 
% 72.88/10.89  | | REDUCE: (11), (13) imply:
% 72.88/10.89  | |   (14)  $false
% 72.88/10.89  | | 
% 72.88/10.89  | | CLOSE: (14) is inconsistent.
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (15)  all_10_19 = e1 &  ~ (unit = e0)
% 72.88/10.89  | | 
% 72.88/10.89  | | ALPHA: (15) implies:
% 72.88/10.89  | |   (16)  all_10_19 = e1
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (6), (16) imply:
% 72.88/10.89  | |   (17)  all_4_23 = e1
% 72.88/10.89  | | 
% 72.88/10.89  | | SIMP: (17) implies:
% 72.88/10.89  | |   (18)  all_4_23 = e1
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (9), (18) imply:
% 72.88/10.89  | |   (19)  all_8_19 = e1
% 72.88/10.89  | | 
% 72.88/10.89  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (12), (19) are inconsistent by
% 72.88/10.89  | |            sub-proof #164.
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #164 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_13 = e3
% 72.88/10.89    (2)   ~ (e4 = e0)
% 72.88/10.89    (3)  all_8_14 = e2
% 72.88/10.89    (4)  all_8_15 = e0
% 72.88/10.89    (5)   ~ (e4 = e2)
% 72.88/10.89    (6)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.88/10.89    (7)   ~ (e4 = e3)
% 72.88/10.89    (8)  all_8_19 = e1
% 72.88/10.89    (9)   ~ (e4 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (6) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (10)  all_8_13 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (1), (10) imply:
% 72.88/10.89  | |   (11)  e4 = e3
% 72.88/10.89  | | 
% 72.88/10.89  | | REDUCE: (7), (11) imply:
% 72.88/10.89  | |   (12)  $false
% 72.88/10.89  | | 
% 72.88/10.89  | | CLOSE: (12) is inconsistent.
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (13)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | BETA: splitting (13) gives:
% 72.88/10.89  | | 
% 72.88/10.89  | | Case 1:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (14)  all_8_14 = e4
% 72.88/10.89  | | | 
% 72.88/10.89  | | | COMBINE_EQS: (3), (14) imply:
% 72.88/10.89  | | |   (15)  e4 = e2
% 72.88/10.89  | | | 
% 72.88/10.89  | | | REDUCE: (5), (15) imply:
% 72.88/10.89  | | |   (16)  $false
% 72.88/10.89  | | | 
% 72.88/10.89  | | | CLOSE: (16) is inconsistent.
% 72.88/10.89  | | | 
% 72.88/10.89  | | Case 2:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (17)  all_8_15 = e4 | all_8_19 = e4
% 72.88/10.89  | | | 
% 72.88/10.89  | | | BETA: splitting (17) gives:
% 72.88/10.89  | | | 
% 72.88/10.89  | | | Case 1:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (18)  all_8_15 = e4
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | COMBINE_EQS: (4), (18) imply:
% 72.88/10.89  | | | |   (19)  e4 = e0
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | REDUCE: (2), (19) imply:
% 72.88/10.89  | | | |   (20)  $false
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | CLOSE: (20) is inconsistent.
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | Case 2:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (21)  all_8_19 = e4
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | COMBINE_EQS: (8), (21) imply:
% 72.88/10.89  | | | |   (22)  e4 = e1
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | REDUCE: (9), (22) imply:
% 72.88/10.89  | | | |   (23)  $false
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | CLOSE: (23) is inconsistent.
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | End of split
% 72.88/10.89  | | | 
% 72.88/10.89  | | End of split
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #165 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)
% 72.88/10.89    (2)  all_10_0 = e1
% 72.88/10.89    (3)   ~ (e1 = e0)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | ALPHA: (1) implies:
% 72.88/10.89  |   (4)  all_10_0 = e0
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.89  |   (5)  e1 = e0
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #166 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)
% 72.88/10.89    (2)  all_10_0 = e1
% 72.88/10.89    (3)   ~ (e1 = e0)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | ALPHA: (1) implies:
% 72.88/10.89  |   (4)  all_10_0 = e0
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.89  |   (5)  e1 = e0
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #167 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_10_0 = e2
% 72.88/10.89    (2)  all_10_0 = e1
% 72.88/10.89    (3)   ~ (e2 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.89  |   (4)  e2 = e1
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (4) implies:
% 72.88/10.89  |   (5)  e2 = e1
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #168 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.88/10.89           all_10_6 = e4 &  ~ (all_10_5 = e3))
% 72.88/10.89    (2)  all_10_0 = e1
% 72.88/10.89    (3)   ~ (e3 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (1) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (4)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)
% 72.88/10.89  | | 
% 72.88/10.89  | | ALPHA: (4) implies:
% 72.88/10.89  | |   (5)  all_10_0 = e3
% 72.88/10.89  | | 
% 72.88/10.89  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #169.
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (6)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)
% 72.88/10.89  | | 
% 72.88/10.89  | | ALPHA: (6) implies:
% 72.88/10.89  | |   (7)  all_10_0 = e3
% 72.88/10.89  | | 
% 72.88/10.89  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #169.
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #169 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_10_0 = e3
% 72.88/10.89    (2)  all_10_0 = e1
% 72.88/10.89    (3)   ~ (e3 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.89  |   (4)  e3 = e1
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (4) implies:
% 72.88/10.89  |   (5)  e3 = e1
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #170 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_6_0 = all_4_0
% 72.88/10.89    (2)  all_6_0 = e3
% 72.88/10.89    (3)   ~ (all_4_0 = e3)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.89  |   (4)  all_4_0 = e3
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (4) implies:
% 72.88/10.89  |   (5)  all_4_0 = e3
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #171 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_8 = e3
% 72.88/10.89    (2)  all_8_8 = e2
% 72.88/10.89    (3)   ~ (e3 = e2)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.89  |   (4)  e3 = e2
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (4) implies:
% 72.88/10.89  |   (5)  e3 = e2
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #172 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 72.88/10.89    (2)   ~ (e4 = e0)
% 72.88/10.89    (3)  all_8_14 = e2
% 72.88/10.89    (4)  all_8_8 = e3
% 72.88/10.89    (5)  all_8_22 = e0
% 72.88/10.89    (6)   ~ (e4 = e2)
% 72.88/10.89    (7)   ~ (e4 = e3)
% 72.88/10.89    (8)  all_8_5 = e1
% 72.88/10.89    (9)   ~ (e4 = e1)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (1) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (10)  all_8_5 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (8), (10) imply:
% 72.88/10.89  | |   (11)  e4 = e1
% 72.88/10.89  | | 
% 72.88/10.89  | | REDUCE: (9), (11) imply:
% 72.88/10.89  | |   (12)  $false
% 72.88/10.89  | | 
% 72.88/10.89  | | CLOSE: (12) is inconsistent.
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (13)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | BETA: splitting (13) gives:
% 72.88/10.89  | | 
% 72.88/10.89  | | Case 1:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (14)  all_8_8 = e4
% 72.88/10.89  | | | 
% 72.88/10.89  | | | COMBINE_EQS: (4), (14) imply:
% 72.88/10.89  | | |   (15)  e4 = e3
% 72.88/10.89  | | | 
% 72.88/10.89  | | | REDUCE: (7), (15) imply:
% 72.88/10.89  | | |   (16)  $false
% 72.88/10.89  | | | 
% 72.88/10.89  | | | CLOSE: (16) is inconsistent.
% 72.88/10.89  | | | 
% 72.88/10.89  | | Case 2:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (17)  all_8_14 = e4 | all_8_22 = e4
% 72.88/10.89  | | | 
% 72.88/10.89  | | | REF_CLOSE: (2), (3), (5), (6), (17) are inconsistent by sub-proof #173.
% 72.88/10.89  | | | 
% 72.88/10.89  | | End of split
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #173 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)   ~ (e4 = e0)
% 72.88/10.89    (2)  all_8_14 = e4 | all_8_22 = e4
% 72.88/10.89    (3)  all_8_14 = e2
% 72.88/10.89    (4)  all_8_22 = e0
% 72.88/10.89    (5)   ~ (e4 = e2)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (2) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (6)  all_8_14 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (3), (6) imply:
% 72.88/10.89  | |   (7)  e4 = e2
% 72.88/10.89  | | 
% 72.88/10.89  | | REDUCE: (5), (7) imply:
% 72.88/10.89  | |   (8)  $false
% 72.88/10.89  | | 
% 72.88/10.89  | | CLOSE: (8) is inconsistent.
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (9)  all_8_22 = e4
% 72.88/10.89  | | 
% 72.88/10.89  | | COMBINE_EQS: (4), (9) imply:
% 72.88/10.89  | |   (10)  e4 = e0
% 72.88/10.89  | | 
% 72.88/10.89  | | REDUCE: (1), (10) imply:
% 72.88/10.89  | |   (11)  $false
% 72.88/10.89  | | 
% 72.88/10.89  | | CLOSE: (11) is inconsistent.
% 72.88/10.89  | | 
% 72.88/10.89  | End of split
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #174 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_14 = all_4_13
% 72.88/10.89    (2)  all_8_14 = e0
% 72.88/10.89    (3)   ~ (all_4_13 = e0)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.89  |   (4)  all_4_13 = e0
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (4) implies:
% 72.88/10.89  |   (5)  all_4_13 = e0
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #175 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)  all_8_8 = e3
% 72.88/10.89    (2)  all_8_8 = e0
% 72.88/10.89    (3)   ~ (e3 = e0)
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.89  |   (4)  e3 = e0
% 72.88/10.89  | 
% 72.88/10.89  | SIMP: (4) implies:
% 72.88/10.89  |   (5)  e3 = e0
% 72.88/10.89  | 
% 72.88/10.89  | REDUCE: (3), (5) imply:
% 72.88/10.89  |   (6)  $false
% 72.88/10.89  | 
% 72.88/10.89  | CLOSE: (6) is inconsistent.
% 72.88/10.89  | 
% 72.88/10.89  End of proof
% 72.88/10.89  
% 72.88/10.89  Sub-proof #176 shows that the following formulas are inconsistent:
% 72.88/10.89  ----------------------------------------------------------------
% 72.88/10.89    (1)   ~ (all_4_0 = e3)
% 72.88/10.89    (2)  all_10_6 = e4
% 72.88/10.89    (3)   ~ (e3 = e1)
% 72.88/10.89    (4)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.88/10.89           all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 & all_10_12 = e4 &
% 72.88/10.89            ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 =
% 72.88/10.89             e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)) |
% 72.88/10.89         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 &
% 72.88/10.89           all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4
% 72.88/10.89           &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7
% 72.88/10.89             = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2)) |
% 72.88/10.89         (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.88/10.89           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 72.88/10.89           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 72.88/10.89             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 72.88/10.89         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.88/10.89           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 72.88/10.89           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.88/10.89           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 72.88/10.89             e0))
% 72.88/10.89    (5)   ~ (e4 = e0)
% 72.88/10.89    (6)  all_10_0 = all_4_0
% 72.88/10.89    (7)  all_10_24 = e3
% 72.88/10.89    (8)   ~ (e3 = e0)
% 72.88/10.89    (9)   ~ (e4 = e2)
% 72.88/10.89    (10)   ~ (e4 = e3)
% 72.88/10.89    (11)  all_10_18 = e0
% 72.88/10.89    (12)   ~ (e2 = e0)
% 72.88/10.89    (13)  all_10_12 = e3
% 72.88/10.89  
% 72.88/10.89  Begin of proof
% 72.88/10.89  | 
% 72.88/10.89  | BETA: splitting (4) gives:
% 72.88/10.89  | 
% 72.88/10.89  | Case 1:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (14)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 =
% 72.88/10.89  | |           e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 &
% 72.88/10.89  | |           all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 & all_10_12
% 72.88/10.89  | |           = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4 &  ~
% 72.88/10.89  | |           (all_10_3 = e4)) | (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15
% 72.88/10.89  | |             = e1)) | (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) |
% 72.88/10.89  | |         (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 =
% 72.88/10.89  | |           e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 72.88/10.89  | |           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.89  | | 
% 72.88/10.89  | | BETA: splitting (14) gives:
% 72.88/10.89  | | 
% 72.88/10.89  | | Case 1:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (15)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 =
% 72.88/10.89  | | |           e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)) | (all_10_0 = e2 &
% 72.88/10.89  | | |           all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 72.88/10.89  | | |           all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 &
% 72.88/10.89  | | |           all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.88/10.89  | | | 
% 72.88/10.89  | | | BETA: splitting (15) gives:
% 72.88/10.89  | | | 
% 72.88/10.89  | | | Case 1:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (16)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0
% 72.88/10.89  | | | |           = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3))
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | REF_CLOSE: (1), (6), (16) are inconsistent by sub-proof #181.
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | Case 2:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (17)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) |
% 72.88/10.89  | | | |         (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) |
% 72.88/10.89  | | | |         (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | REF_CLOSE: (5), (10), (11), (13), (17) are inconsistent by sub-proof
% 72.88/10.89  | | | |            #200.
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | End of split
% 72.88/10.89  | | | 
% 72.88/10.89  | | Case 2:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (18)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0
% 72.88/10.89  | | |           = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 &
% 72.88/10.89  | | |           all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 = e2 &
% 72.88/10.89  | | |           all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 72.88/10.89  | | |           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.89  | | | 
% 72.88/10.89  | | | BETA: splitting (18) gives:
% 72.88/10.89  | | | 
% 72.88/10.89  | | | Case 1:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (19)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) |
% 72.88/10.89  | | | |         (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4))
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | BETA: splitting (19) gives:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | Case 1:
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | |   (20)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | REF_CLOSE: (5), (11), (20) are inconsistent by sub-proof #199.
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | Case 2:
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | |   (21)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | ALPHA: (21) implies:
% 72.88/10.89  | | | | |   (22)  all_10_24 = e4
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | COMBINE_EQS: (7), (22) imply:
% 72.88/10.89  | | | | |   (23)  e4 = e3
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | REDUCE: (10), (23) imply:
% 72.88/10.89  | | | | |   (24)  $false
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | CLOSE: (24) is inconsistent.
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | End of split
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | Case 2:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (25)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) |
% 72.88/10.89  | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 72.88/10.89  | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | BETA: splitting (25) gives:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | Case 1:
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | |   (26)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | ALPHA: (26) implies:
% 72.88/10.89  | | | | |   (27)  all_10_24 = e4
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | COMBINE_EQS: (7), (27) imply:
% 72.88/10.89  | | | | |   (28)  e4 = e3
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | REDUCE: (10), (28) imply:
% 72.88/10.89  | | | | |   (29)  $false
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | CLOSE: (29) is inconsistent.
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | Case 2:
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | |   (30)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) |
% 72.88/10.89  | | | | |         (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | REF_CLOSE: (2), (9), (30) are inconsistent by sub-proof #197.
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | End of split
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | End of split
% 72.88/10.89  | | | 
% 72.88/10.89  | | End of split
% 72.88/10.89  | | 
% 72.88/10.89  | Case 2:
% 72.88/10.89  | | 
% 72.88/10.89  | |   (31)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 72.88/10.89  | |           e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 &
% 72.88/10.89  | |           all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24
% 72.88/10.89  | |           = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 = e2 & 
% 72.88/10.89  | |           ~ (all_10_13 = e2)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 72.88/10.89  | |           (all_10_17 = e1)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 72.88/10.89  | |           (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 = e2 &  ~
% 72.88/10.89  | |           (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.88/10.89  | |           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.88/10.89  | |           (all_10_23 = e0))
% 72.88/10.89  | | 
% 72.88/10.89  | | BETA: splitting (31) gives:
% 72.88/10.89  | | 
% 72.88/10.89  | | Case 1:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (32)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6
% 72.88/10.89  | | |           = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 &
% 72.88/10.89  | | |           all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 &
% 72.88/10.89  | | |           all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 72.88/10.89  | | |           all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.89  | | | 
% 72.88/10.89  | | | REF_CLOSE: (2), (5), (8), (11), (12), (32) are inconsistent by sub-proof
% 72.88/10.89  | | |            #179.
% 72.88/10.89  | | | 
% 72.88/10.89  | | Case 2:
% 72.88/10.89  | | | 
% 72.88/10.89  | | |   (33)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 72.88/10.89  | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)) |
% 72.88/10.89  | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 72.88/10.89  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 72.88/10.89  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.89  | | | 
% 72.88/10.89  | | | BETA: splitting (33) gives:
% 72.88/10.89  | | | 
% 72.88/10.89  | | | Case 1:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | |   (34)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 72.88/10.89  | | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | BETA: splitting (34) gives:
% 72.88/10.89  | | | | 
% 72.88/10.89  | | | | Case 1:
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | |   (35)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | | REF_CLOSE: (11), (12), (35) are inconsistent by sub-proof #193.
% 72.88/10.89  | | | | | 
% 72.88/10.89  | | | | Case 2:
% 72.88/10.89  | | | | | 
% 72.88/10.90  | | | | |   (36)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | | ALPHA: (36) implies:
% 72.88/10.90  | | | | |   (37)  all_10_24 = e2
% 72.88/10.90  | | | | |   (38)  all_10_12 = e0
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | | REF_CLOSE: (7), (12), (13), (37), (38) are inconsistent by sub-proof
% 72.88/10.90  | | | | |            #178.
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | End of split
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | Case 2:
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | |   (39)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 72.88/10.90  | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 72.88/10.90  | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | | BETA: splitting (39) gives:
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | | Case 1:
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | |   (40)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | | ALPHA: (40) implies:
% 72.88/10.90  | | | | |   (41)  all_10_24 = e2
% 72.88/10.90  | | | | |   (42)  all_10_12 = e0
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | | REF_CLOSE: (7), (12), (13), (41), (42) are inconsistent by sub-proof
% 72.88/10.90  | | | | |            #178.
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | Case 2:
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | |   (43)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 72.88/10.90  | | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | | BETA: splitting (43) gives:
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | | Case 1:
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | |   (44)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | | ALPHA: (44) implies:
% 72.88/10.90  | | | | | |   (45)  all_10_24 = e1
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | | REF_CLOSE: (3), (7), (45) are inconsistent by sub-proof #177.
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | Case 2:
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | |   (46)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0)
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | | ALPHA: (46) implies:
% 72.88/10.90  | | | | | |   (47)  all_10_24 = e1
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | | REF_CLOSE: (3), (7), (47) are inconsistent by sub-proof #177.
% 72.88/10.90  | | | | | | 
% 72.88/10.90  | | | | | End of split
% 72.88/10.90  | | | | | 
% 72.88/10.90  | | | | End of split
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | End of split
% 72.88/10.90  | | | 
% 72.88/10.90  | | End of split
% 72.88/10.90  | | 
% 72.88/10.90  | End of split
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #177 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  all_10_24 = e3
% 72.88/10.90    (2)  all_10_24 = e1
% 72.88/10.90    (3)   ~ (e3 = e1)
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.90  |   (4)  e3 = e1
% 72.88/10.90  | 
% 72.88/10.90  | SIMP: (4) implies:
% 72.88/10.90  |   (5)  e3 = e1
% 72.88/10.90  | 
% 72.88/10.90  | REDUCE: (3), (5) imply:
% 72.88/10.90  |   (6)  $false
% 72.88/10.90  | 
% 72.88/10.90  | CLOSE: (6) is inconsistent.
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #178 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  all_10_24 = e3
% 72.88/10.90    (2)  all_10_12 = e0
% 72.88/10.90    (3)  all_10_24 = e2
% 72.88/10.90    (4)   ~ (e2 = e0)
% 72.88/10.90    (5)  all_10_12 = e3
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | COMBINE_EQS: (2), (5) imply:
% 72.88/10.90  |   (6)  e3 = e0
% 72.88/10.90  | 
% 72.88/10.90  | SIMP: (6) implies:
% 72.88/10.90  |   (7)  e3 = e0
% 72.88/10.90  | 
% 72.88/10.90  | COMBINE_EQS: (1), (3) imply:
% 72.88/10.90  |   (8)  e3 = e2
% 72.88/10.90  | 
% 72.88/10.90  | SIMP: (8) implies:
% 72.88/10.90  |   (9)  e3 = e2
% 72.88/10.90  | 
% 72.88/10.90  | COMBINE_EQS: (7), (9) imply:
% 72.88/10.90  |   (10)  e2 = e0
% 72.88/10.90  | 
% 72.88/10.90  | REDUCE: (4), (10) imply:
% 72.88/10.90  |   (11)  $false
% 72.88/10.90  | 
% 72.88/10.90  | CLOSE: (11) is inconsistent.
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #179 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  all_10_6 = e4
% 72.88/10.90    (2)   ~ (e4 = e0)
% 72.88/10.90    (3)   ~ (e3 = e0)
% 72.88/10.90    (4)  all_10_18 = e0
% 72.88/10.90    (5)   ~ (e2 = e0)
% 72.88/10.90    (6)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.88/10.90           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 72.88/10.90           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 72.88/10.90             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | BETA: splitting (6) gives:
% 72.88/10.90  | 
% 72.88/10.90  | Case 1:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (7)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 72.88/10.90  | |          e1 & all_10_18 = e3 &  ~ (all_10_16 = e1))
% 72.88/10.90  | | 
% 72.88/10.90  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #195.
% 72.88/10.90  | | 
% 72.88/10.90  | Case 2:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (8)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 =
% 72.88/10.90  | |          e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 72.88/10.90  | |          all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.90  | | 
% 72.88/10.90  | | BETA: splitting (8) gives:
% 72.88/10.90  | | 
% 72.88/10.90  | | Case 1:
% 72.88/10.90  | | | 
% 72.88/10.90  | | |   (9)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 72.88/10.90  | | | 
% 72.88/10.90  | | | ALPHA: (9) implies:
% 72.88/10.90  | | |   (10)  all_10_6 = e0
% 72.88/10.90  | | | 
% 72.88/10.90  | | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #180.
% 72.88/10.90  | | | 
% 72.88/10.90  | | Case 2:
% 72.88/10.90  | | | 
% 72.88/10.90  | | |   (11)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 72.88/10.90  | | |         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.90  | | | 
% 72.88/10.90  | | | BETA: splitting (11) gives:
% 72.88/10.90  | | | 
% 72.88/10.90  | | | Case 1:
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | |   (12)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | | ALPHA: (12) implies:
% 72.88/10.90  | | | |   (13)  all_10_6 = e0
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | | REF_CLOSE: (1), (2), (13) are inconsistent by sub-proof #180.
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | Case 2:
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | |   (14)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | | REF_CLOSE: (4), (5), (14) are inconsistent by sub-proof #194.
% 72.88/10.90  | | | | 
% 72.88/10.90  | | | End of split
% 72.88/10.90  | | | 
% 72.88/10.90  | | End of split
% 72.88/10.90  | | 
% 72.88/10.90  | End of split
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #180 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  all_10_6 = e4
% 72.88/10.90    (2)  all_10_6 = e0
% 72.88/10.90    (3)   ~ (e4 = e0)
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.90  |   (4)  e4 = e0
% 72.88/10.90  | 
% 72.88/10.90  | SIMP: (4) implies:
% 72.88/10.90  |   (5)  e4 = e0
% 72.88/10.90  | 
% 72.88/10.90  | REDUCE: (3), (5) imply:
% 72.88/10.90  |   (6)  $false
% 72.88/10.90  | 
% 72.88/10.90  | CLOSE: (6) is inconsistent.
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #181 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  (all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)) | (all_10_0 = e3 &
% 72.88/10.90           all_10_6 = e4 &  ~ (all_10_5 = e3))
% 72.88/10.90    (2)  all_10_0 = all_4_0
% 72.88/10.90    (3)   ~ (all_4_0 = e3)
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | BETA: splitting (1) gives:
% 72.88/10.90  | 
% 72.88/10.90  | Case 1:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (4)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_1 = e4)
% 72.88/10.90  | | 
% 72.88/10.90  | | ALPHA: (4) implies:
% 72.88/10.90  | |   (5)  all_10_0 = e3
% 72.88/10.90  | | 
% 72.88/10.90  | | COMBINE_EQS: (2), (5) imply:
% 72.88/10.90  | |   (6)  all_4_0 = e3
% 72.88/10.90  | | 
% 72.88/10.90  | | REDUCE: (3), (6) imply:
% 72.88/10.90  | |   (7)  $false
% 72.88/10.90  | | 
% 72.88/10.90  | | CLOSE: (7) is inconsistent.
% 72.88/10.90  | | 
% 72.88/10.90  | Case 2:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (8)  all_10_0 = e3 & all_10_6 = e4 &  ~ (all_10_5 = e3)
% 72.88/10.90  | | 
% 72.88/10.90  | | ALPHA: (8) implies:
% 72.88/10.90  | |   (9)  all_10_0 = e3
% 72.88/10.90  | | 
% 72.88/10.90  | | COMBINE_EQS: (2), (9) imply:
% 72.88/10.90  | |   (10)  all_4_0 = e3
% 72.88/10.90  | | 
% 72.88/10.90  | | REDUCE: (3), (10) imply:
% 72.88/10.90  | |   (11)  $false
% 72.88/10.90  | | 
% 72.88/10.90  | | CLOSE: (11) is inconsistent.
% 72.88/10.90  | | 
% 72.88/10.90  | End of split
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #182 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  all_10_6 = e4
% 72.88/10.90    (2)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 72.88/10.90         e0
% 72.88/10.90    (3)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1 =
% 72.88/10.90             e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.88/10.90           (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit = e2)))
% 72.88/10.90         & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) & ( ~ (all_10_5
% 72.88/10.90             = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 72.88/10.90           (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~ (unit =
% 72.88/10.90             e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 72.88/10.90           (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) & ( ~ (all_10_10 =
% 72.88/10.90             e2) | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 72.88/10.90           (all_10_12 = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit =
% 72.88/10.90             e2)) & ( ~ (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & (
% 72.88/10.90           ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 72.88/10.90           (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16
% 72.88/10.90             = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) | 
% 72.88/10.90           ~ (unit = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.88/10.90               e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) &
% 72.88/10.90         ( ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.90           (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~ (all_10_22
% 72.88/10.90             = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~
% 72.88/10.90             (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 72.88/10.90               e2)))
% 72.88/10.90    (4)  all_10_5 = all_4_1
% 72.88/10.90    (5)   ~ (all_4_21 = e4)
% 72.88/10.90    (6)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 72.88/10.90         e2
% 72.88/10.90    (7)   ~ (e4 = e0)
% 72.88/10.90    (8)  all_8_3 = e4
% 72.88/10.90    (9)   ~ (all_4_1 = e1)
% 72.88/10.90    (10)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.88/10.90                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.88/10.90                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.88/10.90                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.88/10.90                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.88/10.90                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.88/10.90              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.88/10.90                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.88/10.90                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.88/10.90              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.90              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.90              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.90              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.90              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.88/10.90              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.88/10.90              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.88/10.90              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.88/10.90              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.88/10.90                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.88/10.90            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.90              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.90              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.88/10.90              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.88/10.90                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.88/10.90                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.88/10.90                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.88/10.90                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.88/10.90            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.88/10.90              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.88/10.90                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.88/10.90                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.88/10.90                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.88/10.90              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.88/10.90              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.90              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.90              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.90              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.90              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.90              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.90              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.90              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.88/10.90                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.88/10.90            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.90              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.88/10.90              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.88/10.90                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.88/10.90              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.88/10.90                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.88/10.90            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.90              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.88/10.90                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.88/10.90                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.88/10.90                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.88/10.90                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.88/10.90                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.88/10.90                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.88/10.90              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.88/10.90              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.88/10.90              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.88/10.90                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.88/10.90            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.88/10.90              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.90              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.88/10.90              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.88/10.90              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.88/10.90              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.88/10.90              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.88/10.90                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.88/10.90                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.88/10.90              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.88/10.90                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.88/10.90              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.88/10.90                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.88/10.90            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.88/10.90              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.88/10.90              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.88/10.90              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.88/10.90              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.88/10.90                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.88/10.90            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.90              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.88/10.90              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.88/10.90              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.88/10.90                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.88/10.90                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.88/10.90                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.88/10.90                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.88/10.90              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.88/10.90                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.88/10.90                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.88/10.90              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.88/10.90              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.88/10.90              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.88/10.90              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.88/10.90              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.88/10.90                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.88/10.90            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.90              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.88/10.90    (11)  all_10_8 = e3
% 72.88/10.90    (12)   ~ (e3 = e0)
% 72.88/10.90    (13)  all_8_17 = all_4_21
% 72.88/10.90    (14)   ~ (all_4_1 = e3)
% 72.88/10.90    (15)   ~ (e4 = e2)
% 72.88/10.90    (16)  all_8_2 = all_4_1
% 72.88/10.90    (17)   ~ (e3 = e2)
% 72.88/10.90    (18)   ~ (e1 = e0)
% 72.88/10.90    (19)  all_8_10 = e3
% 72.88/10.90    (20)   ~ (e2 = e1)
% 72.88/10.90    (21)   ~ (all_4_21 = e3)
% 72.88/10.90    (22)  all_10_7 = e1
% 72.88/10.90    (23)  all_10_9 = all_4_21
% 72.88/10.90    (24)  all_8_5 = e1
% 72.88/10.90    (25)   ~ (e2 = e0)
% 72.88/10.90    (26)   ~ (e4 = e1)
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | ALPHA: (3) implies:
% 72.88/10.90  |   (27)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))
% 72.88/10.90  | 
% 72.88/10.90  | BETA: splitting (27) gives:
% 72.88/10.90  | 
% 72.88/10.90  | Case 1:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (28)   ~ (all_10_5 = e2)
% 72.88/10.90  | | 
% 72.88/10.90  | | REDUCE: (4), (28) imply:
% 72.88/10.90  | |   (29)   ~ (all_4_1 = e2)
% 72.88/10.90  | | 
% 72.88/10.90  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 72.88/10.90  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 72.88/10.90  | |            (25), (26), (29) are inconsistent by sub-proof #183.
% 72.88/10.90  | | 
% 72.88/10.90  | Case 2:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (30)  all_10_5 = e2
% 72.88/10.90  | | 
% 72.88/10.90  | | REF_CLOSE: (22), (26), (27), (30) are inconsistent by sub-proof #187.
% 72.88/10.90  | | 
% 72.88/10.90  | End of split
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #183 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.90    (1)  all_10_6 = e4
% 72.88/10.90    (2)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 72.88/10.90         e0
% 72.88/10.90    (3)  all_10_5 = all_4_1
% 72.88/10.90    (4)   ~ (all_4_21 = e4)
% 72.88/10.90    (5)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 72.88/10.90         e2
% 72.88/10.90    (6)   ~ (e4 = e0)
% 72.88/10.90    (7)  all_8_3 = e4
% 72.88/10.90    (8)   ~ (all_4_1 = e1)
% 72.88/10.90    (9)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.88/10.90               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.88/10.90               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.88/10.90                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.88/10.90           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.88/10.90               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.88/10.90               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.88/10.90                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.88/10.90           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.88/10.90             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.88/10.90             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.88/10.90             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.88/10.90             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.88/10.90               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.88/10.90           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.90             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.90             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.90             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.88/10.90             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.88/10.90             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.88/10.90             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.88/10.90             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.88/10.90             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.88/10.90               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.88/10.90             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.88/10.90               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.88/10.90             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.88/10.90               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.88/10.90             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.88/10.90               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.88/10.90             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.88/10.90               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.88/10.90           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.90             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.90             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.90             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.90             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.90             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.90             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.90             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.88/10.90               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.88/10.90           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.90             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.88/10.90             (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1 =
% 72.88/10.90               e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 72.88/10.90             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.88/10.90                 e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) &
% 72.88/10.90           ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6
% 72.88/10.90               = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 72.88/10.90             ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 72.88/10.90                 e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) &
% 72.88/10.90           ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.90             (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit = e2))) & ( ~
% 72.88/10.90             (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 72.88/10.90             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 72.88/10.90             (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.88/10.90             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.88/10.90             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.88/10.90               = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.88/10.90           & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.88/10.90             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.90             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.88/10.90             (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.88/10.90             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.88/10.90             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.88/10.90             (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 72.88/10.90               e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 72.88/10.90               (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.88/10.90             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 =
% 72.88/10.90               e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.88/10.90             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 =
% 72.88/10.90               e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 72.88/10.90             (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10
% 72.88/10.90               = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.88/10.90             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 72.88/10.90             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit
% 72.88/10.90               = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1)))
% 72.88/10.90           & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.90             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.90             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.90             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.88/10.90             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 72.88/10.90             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.88/10.90             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 72.88/10.90             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 72.88/10.90               = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit = e1))))
% 72.88/10.90         | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 =
% 72.88/10.90               e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 72.88/10.90             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 72.88/10.90               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & (
% 72.88/10.90             ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7
% 72.88/10.90               = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.88/10.90             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 72.88/10.90               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) &
% 72.88/10.90           ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.88/10.90             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.88/10.90             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.88/10.90             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.88/10.90             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.88/10.90               = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.88/10.90           & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.90             (all_10_24 = e0) |  ~ (unit = e0)))
% 72.88/10.90    (10)  all_10_8 = e3
% 72.88/10.90    (11)   ~ (e3 = e0)
% 72.88/10.90    (12)  all_8_17 = all_4_21
% 72.88/10.90    (13)   ~ (all_4_1 = e3)
% 72.88/10.90    (14)   ~ (e4 = e2)
% 72.88/10.90    (15)  all_8_2 = all_4_1
% 72.88/10.90    (16)   ~ (e3 = e2)
% 72.88/10.90    (17)   ~ (e1 = e0)
% 72.88/10.90    (18)  all_8_10 = e3
% 72.88/10.90    (19)   ~ (e2 = e1)
% 72.88/10.90    (20)   ~ (all_4_21 = e3)
% 72.88/10.90    (21)  all_10_7 = e1
% 72.88/10.90    (22)  all_10_9 = all_4_21
% 72.88/10.90    (23)  all_8_5 = e1
% 72.88/10.90    (24)   ~ (e2 = e0)
% 72.88/10.90    (25)   ~ (e4 = e1)
% 72.88/10.90    (26)   ~ (all_4_1 = e2)
% 72.88/10.90  
% 72.88/10.90  Begin of proof
% 72.88/10.90  | 
% 72.88/10.90  | BETA: splitting (5) gives:
% 72.88/10.90  | 
% 72.88/10.90  | Case 1:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (27)  all_8_2 = e2
% 72.88/10.90  | | 
% 72.88/10.90  | | COMBINE_EQS: (15), (27) imply:
% 72.88/10.90  | |   (28)  all_4_1 = e2
% 72.88/10.90  | | 
% 72.88/10.90  | | SIMP: (28) implies:
% 72.88/10.90  | |   (29)  all_4_1 = e2
% 72.88/10.90  | | 
% 72.88/10.90  | | REDUCE: (26), (29) imply:
% 72.88/10.90  | |   (30)  $false
% 72.88/10.90  | | 
% 72.88/10.90  | | CLOSE: (30) is inconsistent.
% 72.88/10.90  | | 
% 72.88/10.90  | Case 2:
% 72.88/10.90  | | 
% 72.88/10.90  | |   (31)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 72.88/10.90  | | 
% 72.88/10.90  | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 72.88/10.90  | |            (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 72.88/10.90  | |            (25), (31) are inconsistent by sub-proof #269.
% 72.88/10.90  | | 
% 72.88/10.90  | End of split
% 72.88/10.90  | 
% 72.88/10.90  End of proof
% 72.88/10.90  
% 72.88/10.90  Sub-proof #184 shows that the following formulas are inconsistent:
% 72.88/10.90  ----------------------------------------------------------------
% 72.88/10.91    (1)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.88/10.91               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.88/10.91               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.88/10.91                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.88/10.91           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.88/10.91               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.88/10.91               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.88/10.91                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.88/10.91           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.88/10.91             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.88/10.91             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.88/10.91             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.88/10.91             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.88/10.91               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.88/10.91           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.91             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.91             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.91             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.88/10.91             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.88/10.91             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.88/10.91             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.88/10.91             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.88/10.91             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.88/10.91               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.88/10.91             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.88/10.91               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.88/10.91             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.88/10.91               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.88/10.91             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.88/10.91               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.88/10.91             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.88/10.91               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.88/10.91           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.91             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.91             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.91             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.91             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.91             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.91             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.91             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.88/10.91               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.88/10.91           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.91             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 72.88/10.91    (2)  all_10_6 = e4
% 72.88/10.91    (3)  all_10_5 = all_4_1
% 72.88/10.91    (4)  all_10_8 = e3
% 72.88/10.91    (5)   ~ (all_4_1 = e3)
% 72.88/10.91    (6)   ~ (e4 = e1)
% 72.88/10.91  
% 72.88/10.91  Begin of proof
% 72.88/10.91  | 
% 72.88/10.91  | BETA: splitting (1) gives:
% 72.88/10.91  | 
% 72.88/10.91  | Case 1:
% 72.88/10.91  | | 
% 72.88/10.91  | |   (7)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.88/10.91  | |          (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0
% 72.88/10.91  | |            = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 & 
% 72.88/10.91  | |            ~ (unit = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit
% 72.88/10.91  | |              = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 72.88/10.91  | |            = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.88/10.91  | |          (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.88/10.91  | |            = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.88/10.91  | |            ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.88/10.91  | |          (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | |          (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | |          (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | |          (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | |          (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.88/10.91  | |          (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.88/10.91  | |          (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.88/10.91  | |          (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.88/10.91  | |          (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.88/10.91  | |          (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 72.88/10.91  | |              e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 72.88/10.91  | |              e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 72.88/10.91  | |              e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.88/10.91  | |              e4)))
% 72.88/10.91  | | 
% 72.88/10.91  | | ALPHA: (7) implies:
% 72.88/10.91  | |   (8)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 72.88/10.91  | | 
% 72.88/10.91  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #185.
% 72.88/10.91  | | 
% 72.88/10.91  | Case 2:
% 72.88/10.91  | | 
% 72.88/10.91  | |   (9)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | |          (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1
% 72.88/10.91  | |            = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 & 
% 72.88/10.91  | |            ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit
% 72.88/10.91  | |              = e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 72.88/10.91  | |              e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 =
% 72.88/10.91  | |            e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 72.88/10.91  | |          (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6
% 72.88/10.91  | |            = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4
% 72.88/10.91  | |            &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.88/10.91  | |          (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | |          (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | |          (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | |          (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | |          (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.91  | |          (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.91  | |          (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.91  | |          (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.91  | |          (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 72.88/10.91  | |          (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 72.88/10.91  | |              e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 72.88/10.91  | |              e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 72.88/10.91  | |              e3)))
% 72.88/10.91  | | 
% 72.88/10.91  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #273.
% 72.88/10.91  | | 
% 72.88/10.91  | End of split
% 72.88/10.91  | 
% 72.88/10.91  End of proof
% 72.88/10.91  
% 72.88/10.91  Sub-proof #185 shows that the following formulas are inconsistent:
% 72.88/10.91  ----------------------------------------------------------------
% 72.88/10.91    (1)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 72.88/10.91    (2)  all_10_6 = e4
% 72.88/10.91    (3)  all_10_5 = all_4_1
% 72.88/10.91    (4)   ~ (all_4_1 = e3)
% 72.88/10.91  
% 72.88/10.91  Begin of proof
% 72.88/10.91  | 
% 72.88/10.91  | BETA: splitting (1) gives:
% 72.88/10.91  | 
% 72.88/10.91  | Case 1:
% 72.88/10.91  | | 
% 72.88/10.91  | |   (5)   ~ (all_10_6 = e4)
% 72.88/10.91  | | 
% 72.88/10.91  | | REDUCE: (2), (5) imply:
% 72.88/10.91  | |   (6)  $false
% 72.88/10.91  | | 
% 72.88/10.91  | | CLOSE: (6) is inconsistent.
% 72.88/10.91  | | 
% 72.88/10.91  | Case 2:
% 72.88/10.91  | | 
% 72.88/10.91  | |   (7)  all_10_5 = e3 &  ~ (unit = e4)
% 72.88/10.91  | | 
% 72.88/10.91  | | ALPHA: (7) implies:
% 72.88/10.91  | |   (8)  all_10_5 = e3
% 72.88/10.91  | | 
% 72.88/10.91  | | COMBINE_EQS: (3), (8) imply:
% 72.88/10.91  | |   (9)  all_4_1 = e3
% 72.88/10.91  | | 
% 72.88/10.91  | | SIMP: (9) implies:
% 72.88/10.91  | |   (10)  all_4_1 = e3
% 72.88/10.91  | | 
% 72.88/10.91  | | REDUCE: (4), (10) imply:
% 72.88/10.91  | |   (11)  $false
% 72.88/10.91  | | 
% 72.88/10.91  | | CLOSE: (11) is inconsistent.
% 72.88/10.91  | | 
% 72.88/10.91  | End of split
% 72.88/10.91  | 
% 72.88/10.91  End of proof
% 72.88/10.91  
% 72.88/10.91  Sub-proof #186 shows that the following formulas are inconsistent:
% 72.88/10.91  ----------------------------------------------------------------
% 72.88/10.91    (1)  all_8_6 = all_4_2
% 72.88/10.91    (2)  all_10_6 = e4
% 72.88/10.91    (3)  all_8_9 = all_4_15
% 72.88/10.91    (4)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 72.88/10.91         e0
% 72.88/10.91    (5)   ~ (all_4_1 = e4)
% 72.88/10.91    (6)  all_10_5 = all_4_1
% 72.88/10.91    (7)  all_8_4 = all_4_10
% 72.88/10.91    (8)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 72.88/10.91    (9)   ~ (all_4_15 = e0)
% 72.88/10.91    (10)   ~ (all_4_10 = e0)
% 72.88/10.91    (11)  all_10_8 = all_4_16
% 72.88/10.91    (12)  all_6_8 = all_4_16
% 72.88/10.91    (13)   ~ (all_4_1 = e1)
% 72.88/10.91    (14)   ~ (all_4_20 = e3)
% 72.88/10.91    (15)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.88/10.91                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.88/10.91                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.88/10.91                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.88/10.91                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.88/10.91                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.88/10.91              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.88/10.91                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.88/10.91                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.88/10.91              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.91              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.91              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.91              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.91              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.88/10.91              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.88/10.91              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.88/10.91              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.88/10.91              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.88/10.91                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.88/10.91            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.91              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.91              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.88/10.91              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.88/10.91                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.88/10.91                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.88/10.91                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.88/10.91                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.88/10.91            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.88/10.91              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.88/10.91                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.88/10.91                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.88/10.91                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.88/10.91              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.88/10.91              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.91              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.91              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.91              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.91              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.91              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.91              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.91              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.88/10.91                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.88/10.91            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.91              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.88/10.91              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.88/10.91                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.88/10.91              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.88/10.91                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.88/10.91            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.91              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.88/10.91                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.88/10.91                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.88/10.91                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.88/10.91                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.88/10.91                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.88/10.91                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.88/10.91              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.88/10.91              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.88/10.91              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.88/10.91                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.88/10.91            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.88/10.91              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.91              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.88/10.91              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.88/10.91              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.88/10.91              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.88/10.91              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.88/10.91                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.88/10.91                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.88/10.91              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.88/10.91                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.88/10.91              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.88/10.91                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.88/10.91            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.88/10.91              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.88/10.91              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.88/10.91              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.88/10.91              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.88/10.91                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.88/10.91            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.91              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.88/10.91              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.88/10.91              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.88/10.91                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.88/10.91                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.88/10.91                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.88/10.91                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.88/10.91              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.88/10.91                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.88/10.91                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.88/10.91              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.88/10.91              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.88/10.91              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.88/10.91              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.88/10.91              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.88/10.91                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.88/10.91            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.91              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.88/10.91    (16)   ~ (all_4_16 = e0)
% 72.88/10.91    (17)  all_8_8 = e3
% 72.88/10.91    (18)  all_10_4 = all_4_20
% 72.88/10.91    (19)   ~ (all_4_1 = all_4_16)
% 72.88/10.91    (20)  all_6_5 = all_4_1
% 72.88/10.91    (21)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 =
% 72.88/10.91          e0
% 72.88/10.91    (22)   ~ (all_4_17 = e0)
% 72.88/10.91    (23)   ~ (all_4_1 = e3)
% 72.88/10.91    (24)   ~ (all_4_1 = all_4_2)
% 72.88/10.91    (25)  all_8_16 = all_4_20
% 72.88/10.91    (26)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 72.88/10.91    (27)  all_8_11 = all_4_17
% 72.88/10.91    (28)   ~ (all_4_7 = e3)
% 72.88/10.91    (29)  all_8_0 = e3
% 72.88/10.91    (30)   ~ (all_4_16 = e4)
% 72.88/10.91    (31)  all_8_2 = all_4_1
% 72.88/10.91    (32)  all_8_1 = all_4_5
% 72.88/10.91    (33)   ~ (all_4_16 = e1)
% 72.88/10.91    (34)  all_8_7 = all_4_7
% 72.88/10.91    (35)   ~ (all_4_22 = e0)
% 72.88/10.91    (36)  all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 =
% 72.88/10.91          e0
% 72.88/10.91    (37)   ~ (all_4_5 = all_4_7)
% 72.88/10.91    (38)   ~ (all_4_20 = e0)
% 72.88/10.91    (39)  all_10_7 = e1
% 72.88/10.91    (40)  all_8_18 = all_4_22
% 72.88/10.91    (41)   ~ (e4 = e1)
% 72.88/10.91    (42)  all_10_1 = all_4_5
% 72.88/10.91  
% 72.88/10.91  Begin of proof
% 72.88/10.91  | 
% 72.88/10.91  | BETA: splitting (4) gives:
% 72.88/10.91  | 
% 72.88/10.91  | Case 1:
% 72.88/10.91  | | 
% 72.88/10.91  | |   (43)  all_8_2 = e0
% 72.88/10.91  | | 
% 72.88/10.91  | | COMBINE_EQS: (31), (43) imply:
% 72.88/10.91  | |   (44)  all_4_1 = e0
% 72.88/10.91  | | 
% 72.88/10.91  | | SIMP: (44) implies:
% 72.88/10.91  | |   (45)  all_4_1 = e0
% 72.88/10.91  | | 
% 72.88/10.91  | | REDUCE: (24), (45) imply:
% 72.88/10.91  | |   (46)   ~ (all_4_2 = e0)
% 72.88/10.91  | | 
% 72.88/10.91  | | SIMP: (46) implies:
% 72.88/10.91  | |   (47)   ~ (all_4_2 = e0)
% 72.88/10.91  | | 
% 72.88/10.91  | | REDUCE: (23), (45) imply:
% 72.88/10.91  | |   (48)   ~ (e3 = e0)
% 72.88/10.91  | | 
% 72.88/10.91  | | SIMP: (48) implies:
% 72.88/10.91  | |   (49)   ~ (e3 = e0)
% 72.88/10.91  | | 
% 72.88/10.91  | | BETA: splitting (21) gives:
% 72.88/10.91  | | 
% 72.88/10.91  | | Case 1:
% 72.88/10.91  | | | 
% 72.88/10.91  | | |   (50)  all_8_6 = e0
% 72.88/10.91  | | | 
% 72.88/10.91  | | | COMBINE_EQS: (1), (50) imply:
% 72.88/10.91  | | |   (51)  all_4_2 = e0
% 72.88/10.91  | | | 
% 72.88/10.91  | | | REDUCE: (47), (51) imply:
% 72.88/10.91  | | |   (52)  $false
% 72.88/10.91  | | | 
% 72.88/10.91  | | | CLOSE: (52) is inconsistent.
% 72.88/10.91  | | | 
% 72.88/10.91  | | Case 2:
% 72.88/10.91  | | | 
% 72.88/10.91  | | |   (53)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 72.88/10.91  | | | 
% 72.88/10.91  | | | BETA: splitting (53) gives:
% 72.88/10.91  | | | 
% 72.88/10.91  | | | Case 1:
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | |   (54)  all_8_7 = e0
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | COMBINE_EQS: (34), (54) imply:
% 72.88/10.91  | | | |   (55)  all_4_7 = e0
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | REDUCE: (37), (55) imply:
% 72.88/10.91  | | | |   (56)   ~ (all_4_5 = e0)
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | BETA: splitting (36) gives:
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | Case 1:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | |   (57)  all_8_0 = e0
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | REF_CLOSE: (29), (49), (57) are inconsistent by sub-proof #191.
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | Case 2:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | |   (58)  all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | BETA: splitting (58) gives:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | Case 1:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | |   (59)  all_8_1 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | REF_CLOSE: (32), (56), (59) are inconsistent by sub-proof #277.
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | Case 2:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | |   (60)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | REF_CLOSE: (3), (7), (9), (10), (25), (38), (60) are inconsistent by
% 72.88/10.91  | | | | | |            sub-proof #190.
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | End of split
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | End of split
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | Case 2:
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | |   (61)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | BETA: splitting (61) gives:
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | Case 1:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | |   (62)  all_8_8 = e0
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | COMBINE_EQS: (17), (62) imply:
% 72.88/10.91  | | | | |   (63)  e3 = e0
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | REDUCE: (49), (63) imply:
% 72.88/10.91  | | | | |   (64)  $false
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | CLOSE: (64) is inconsistent.
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | Case 2:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | |   (65)  all_8_11 = e0 | all_8_18 = e0
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | BETA: splitting (65) gives:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | Case 1:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | |   (66)  all_8_11 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | COMBINE_EQS: (27), (66) imply:
% 72.88/10.91  | | | | | |   (67)  all_4_17 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | REDUCE: (22), (67) imply:
% 72.88/10.91  | | | | | |   (68)  $false
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | CLOSE: (68) is inconsistent.
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | Case 2:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | |   (69)  all_8_18 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | COMBINE_EQS: (40), (69) imply:
% 72.88/10.91  | | | | | |   (70)  all_4_22 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | SIMP: (70) implies:
% 72.88/10.91  | | | | | |   (71)  all_4_22 = e0
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | REDUCE: (35), (71) imply:
% 72.88/10.91  | | | | | |   (72)  $false
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | CLOSE: (72) is inconsistent.
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | End of split
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | End of split
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | End of split
% 72.88/10.91  | | | 
% 72.88/10.91  | | End of split
% 72.88/10.91  | | 
% 72.88/10.91  | Case 2:
% 72.88/10.91  | | 
% 72.88/10.91  | |   (73)   ~ (all_8_2 = e0)
% 72.88/10.91  | | 
% 72.88/10.91  | | REDUCE: (31), (73) imply:
% 72.88/10.91  | |   (74)   ~ (all_4_1 = e0)
% 72.88/10.91  | | 
% 72.88/10.91  | | BETA: splitting (8) gives:
% 72.88/10.91  | | 
% 72.88/10.91  | | Case 1:
% 72.88/10.91  | | | 
% 72.88/10.91  | | |   (75)  all_6_5 = e3
% 72.88/10.91  | | | 
% 72.88/10.91  | | | REF_CLOSE: (20), (23), (75) are inconsistent by sub-proof #207.
% 72.88/10.91  | | | 
% 72.88/10.91  | | Case 2:
% 72.88/10.91  | | | 
% 72.88/10.91  | | |   (76)  all_6_5 = e4 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 72.88/10.91  | | | 
% 72.88/10.91  | | | BETA: splitting (76) gives:
% 72.88/10.91  | | | 
% 72.88/10.91  | | | Case 1:
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | |   (77)  all_6_5 = e2
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | COMBINE_EQS: (20), (77) imply:
% 72.88/10.91  | | | |   (78)  all_4_1 = e2
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | SIMP: (78) implies:
% 72.88/10.91  | | | |   (79)  all_4_1 = e2
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | COMBINE_EQS: (6), (79) imply:
% 72.88/10.91  | | | |   (80)  all_10_5 = e2
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | REDUCE: (19), (79) imply:
% 72.88/10.91  | | | |   (81)   ~ (all_4_16 = e2)
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | SIMP: (81) implies:
% 72.88/10.91  | | | |   (82)   ~ (all_4_16 = e2)
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | BETA: splitting (26) gives:
% 72.88/10.91  | | | | 
% 72.88/10.91  | | | | Case 1:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | |   (83)  all_6_8 = e3
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | COMBINE_EQS: (12), (83) imply:
% 72.88/10.91  | | | | |   (84)  all_4_16 = e3
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | SIMP: (84) implies:
% 72.88/10.91  | | | | |   (85)  all_4_16 = e3
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | COMBINE_EQS: (11), (85) imply:
% 72.88/10.91  | | | | |   (86)  all_10_8 = e3
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | REDUCE: (82), (85) imply:
% 72.88/10.91  | | | | |   (87)   ~ (e3 = e2)
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | REDUCE: (16), (85) imply:
% 72.88/10.91  | | | | |   (88)   ~ (e3 = e0)
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | BETA: splitting (15) gives:
% 72.88/10.91  | | | | | 
% 72.88/10.91  | | | | | Case 1:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | |   (89)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4)
% 72.88/10.91  | | | | | |             | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 =
% 72.88/10.91  | | | | | |               e4) | (all_10_0 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.88/10.91  | | | | | |               e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit = e4))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit = e4))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 =
% 72.88/10.91  | | | | | |               e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e4))) & ( ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~
% 72.88/10.91  | | | | | |             (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 &  ~
% 72.88/10.91  | | | | | |               (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit = e4))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~
% 72.88/10.91  | | | | | |               (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1
% 72.88/10.91  | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20
% 72.88/10.91  | | | | | |               = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.88/10.91  | | | | | |             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3)
% 72.88/10.91  | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 72.88/10.91  | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 =
% 72.88/10.91  | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 72.88/10.91  | | | | | |             (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3)
% 72.88/10.91  | | | | | |             | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 =
% 72.88/10.91  | | | | | |               e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.88/10.91  | | | | | |             (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3)
% 72.88/10.91  | | | | | |             | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 =
% 72.88/10.91  | | | | | |               e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 =
% 72.88/10.91  | | | | | |               e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 72.88/10.91  | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit = e3)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~
% 72.88/10.91  | | | | | |               (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~
% 72.88/10.91  | | | | | |               (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0
% 72.88/10.91  | | | | | |               &  ~ (unit = e3))))
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | REF_CLOSE: (2), (41), (80), (86), (87), (89) are inconsistent by
% 72.88/10.91  | | | | | |            sub-proof #188.
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | Case 2:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | |   (90)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 =
% 72.88/10.91  | | | | | |               e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 72.88/10.91  | | | | | |               e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 72.88/10.91  | | | | | |             (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~
% 72.88/10.91  | | | | | |               (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~
% 72.88/10.91  | | | | | |               (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4
% 72.88/10.91  | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22
% 72.88/10.91  | | | | | |               = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 72.88/10.91  | | | | | |             (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 & 
% 72.88/10.91  | | | | | |               ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 72.88/10.91  | | | | | |               e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.88/10.91  | | | | | |             (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1)
% 72.88/10.91  | | | | | |             | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 =
% 72.88/10.91  | | | | | |               e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1)
% 72.88/10.91  | | | | | |             | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 =
% 72.88/10.91  | | | | | |               e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 72.88/10.91  | | | | | |               e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 72.88/10.91  | | | | | |             (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~
% 72.88/10.91  | | | | | |               (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~
% 72.88/10.91  | | | | | |               (unit = e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 72.88/10.91  | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23
% 72.88/10.91  | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 72.88/10.91  | | | | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 & 
% 72.88/10.91  | | | | | |               ~ (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 =
% 72.88/10.91  | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 72.88/10.91  | | | | | |             (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0)
% 72.88/10.91  | | | | | |             | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 72.88/10.91  | | | | | |               e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0)
% 72.88/10.91  | | | | | |             | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 72.88/10.91  | | | | | |               e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & (
% 72.88/10.91  | | | | | |             ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 =
% 72.88/10.91  | | | | | |               e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.88/10.91  | | | | | |             (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 72.88/10.91  | | | | | |             (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) &
% 72.88/10.91  | | | | | |           ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0)))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~
% 72.88/10.91  | | | | | |               (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0))
% 72.88/10.91  | | | | | |           & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 72.88/10.91  | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~
% 72.88/10.91  | | | | | |               (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2
% 72.88/10.91  | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24
% 72.88/10.91  | | | | | |               = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 72.88/10.91  | | | | | |             (unit = e0)))
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | BETA: splitting (90) gives:
% 72.88/10.91  | | | | | | 
% 72.88/10.91  | | | | | | Case 1:
% 72.88/10.91  | | | | | | | 
% 72.88/10.92  | | | | | | |   (91)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) &
% 72.88/10.92  | | | | | | |         ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) &
% 72.88/10.92  | | | | | | |         ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 =
% 72.88/10.92  | | | | | | |             e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 72.88/10.92  | | | | | | |           (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) & (
% 72.88/10.92  | | | | | | |           ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) &
% 72.88/10.92  | | | | | | |         ( ~ (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) &
% 72.88/10.92  | | | | | | |         ( ~ (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 72.88/10.92  | | | | | | |             e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 72.88/10.92  | | | | | | |           (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) & (
% 72.88/10.92  | | | | | | |           ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2)))
% 72.88/10.92  | | | | | | |         & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.88/10.92  | | | | | | |               e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 72.88/10.92  | | | | | | |           (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) &
% 72.88/10.92  | | | | | | |         ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2)))
% 72.88/10.92  | | | | | | |         & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 72.88/10.92  | | | | | | |               e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~
% 72.88/10.92  | | | | | | |             (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 72.88/10.92  | | | | | | |         & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 72.88/10.92  | | | | | | |               e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~
% 72.88/10.92  | | | | | | |             (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4
% 72.88/10.92  | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22
% 72.88/10.92  | | | | | | |             = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 72.88/10.92  | | | | | | |           (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 & 
% 72.88/10.92  | | | | | | |             ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 72.88/10.92  | | | | | | |             e0 &  ~ (unit = e2)))
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | | ALPHA: (91) implies:
% 72.88/10.92  | | | | | | |   (92)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | | REF_CLOSE: (39), (41), (80), (92) are inconsistent by sub-proof
% 72.88/10.92  | | | | | | |            #187.
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | Case 2:
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | |   (93)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) &
% 72.88/10.92  | | | | | | |           ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1)))
% 72.88/10.92  | | | | | | |           & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & (
% 72.88/10.92  | | | | | | |             ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1)))
% 72.88/10.92  | | | | | | |           & ( ~ (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~
% 72.88/10.92  | | | | | | |               (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2
% 72.88/10.92  | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit
% 72.88/10.92  | | | | | | |               = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~
% 72.88/10.92  | | | | | | |               (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 =
% 72.88/10.92  | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 72.88/10.92  | | | | | | |             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 =
% 72.88/10.92  | | | | | | |               e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.92  | | | | | | |             (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 =
% 72.88/10.92  | | | | | | |               e1) | (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 72.88/10.92  | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1)))
% 72.88/10.92  | | | | | | |           & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 & 
% 72.88/10.92  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit =
% 72.88/10.92  | | | | | | |               e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~
% 72.88/10.92  | | | | | | |               (unit = e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 72.88/10.92  | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 72.88/10.92  | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 =
% 72.88/10.92  | | | | | | |               e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.92  | | | | | | |             (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 72.88/10.92  | | | | | | |               e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 72.88/10.92  | | | | | | |             (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) &
% 72.88/10.92  | | | | | | |           ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0)))
% 72.88/10.92  | | | | | | |           & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~
% 72.88/10.92  | | | | | | |               (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 72.88/10.92  | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~
% 72.88/10.92  | | | | | | |               (unit = e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3
% 72.88/10.92  | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.88/10.92  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.88/10.92  | | | | | | |             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 =
% 72.88/10.92  | | | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 72.88/10.92  | | | | | | |             (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 72.88/10.92  | | | | | | |               e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.92  | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 72.88/10.92  | | | | | | |           & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 72.88/10.92  | | | | | | |             ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 & 
% 72.88/10.92  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19
% 72.88/10.92  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.88/10.92  | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 72.88/10.92  | | | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.88/10.92  | | | | | | |             (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 =
% 72.88/10.92  | | | | | | |               e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.92  | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0)))
% 72.88/10.92  | | | | | | |           & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 72.88/10.92  | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | | BETA: splitting (93) gives:
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | | Case 1:
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | |   (94)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1)))
% 72.88/10.92  | | | | | | | |         & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 72.88/10.92  | | | | | | | |             (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 72.88/10.92  | | | | | | | |             e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~
% 72.88/10.92  | | | | | | | |             (unit = e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 72.88/10.92  | | | | | | | |             &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) | (all_10_8
% 72.88/10.92  | | | | | | | |             = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 72.88/10.92  | | | | | | | |           (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 =
% 72.88/10.92  | | | | | | | |             e1) |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) |
% 72.88/10.92  | | | | | | | |           (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10 =
% 72.88/10.92  | | | | | | | |             e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.92  | | | | | | | |           (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 72.88/10.92  | | | | | | | |         & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & (
% 72.88/10.92  | | | | | | | |           ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4 & 
% 72.88/10.92  | | | | | | | |             ~ (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_18
% 72.88/10.92  | | | | | | | |             = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.88/10.92  | | | | | | | |           (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 =
% 72.88/10.92  | | | | | | | |             e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 72.88/10.92  | | | | | | | |           (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 =
% 72.88/10.92  | | | | | | | |             e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.92  | | | | | | | |           (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1)))
% 72.88/10.92  | | | | | | | |         & ( ~ (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1)) & (
% 72.88/10.92  | | | | | | | |           ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e1)))
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | | REF_CLOSE: (39), (86), (87), (94) are inconsistent by sub-proof
% 72.88/10.92  | | | | | | | |            #272.
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | Case 2:
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | |   (95)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0)))
% 72.88/10.92  | | | | | | | |         & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 72.88/10.92  | | | | | | | |             (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1
% 72.88/10.92  | | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit
% 72.88/10.92  | | | | | | | |             = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~
% 72.88/10.92  | | | | | | | |             (unit = e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3
% 72.88/10.92  | | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.88/10.92  | | | | | | | |             = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 72.88/10.92  | | | | | | | |           (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 =
% 72.88/10.92  | | | | | | | |             e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 72.88/10.92  | | | | | | | |           (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 72.88/10.92  | | | | | | | |             e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.92  | | | | | | | |           (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 72.88/10.92  | | | | | | | |         & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 72.88/10.92  | | | | | | | |           ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 & 
% 72.88/10.92  | | | | | | | |             ~ (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19
% 72.88/10.92  | | | | | | | |             = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.88/10.92  | | | | | | | |           (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 72.88/10.92  | | | | | | | |             e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 72.88/10.92  | | | | | | | |           (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 =
% 72.88/10.92  | | | | | | | |             e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.92  | | | | | | | |           (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0)))
% 72.88/10.92  | | | | | | | |         & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 72.88/10.92  | | | | | | | |               e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0))
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | | ALPHA: (95) implies:
% 72.88/10.92  | | | | | | | |   (96)   ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | | BETA: splitting (36) gives:
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | | Case 1:
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | |   (97)  all_8_0 = e0
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | REF_CLOSE: (29), (88), (97) are inconsistent by sub-proof
% 72.88/10.92  | | | | | | | | |            #191.
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | Case 2:
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | |   (98)  all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16
% 72.88/10.92  | | | | | | | | |         = e0
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | BETA: splitting (98) gives:
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | Case 1:
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | |   (99)  all_8_1 = e0
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | COMBINE_EQS: (32), (99) imply:
% 72.88/10.92  | | | | | | | | | |   (100)  all_4_5 = e0
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | SIMP: (100) implies:
% 72.88/10.92  | | | | | | | | | |   (101)  all_4_5 = e0
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | COMBINE_EQS: (42), (101) imply:
% 72.88/10.92  | | | | | | | | | |   (102)  all_10_1 = e0
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | BETA: splitting (96) gives:
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | Case 1:
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | |   (103)   ~ (all_10_1 = e0)
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | REDUCE: (102), (103) imply:
% 72.88/10.92  | | | | | | | | | | |   (104)  $false
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | Case 2:
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | |   (105)  all_10_4 = e3 &  ~ (unit = e0)
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | ALPHA: (105) implies:
% 72.88/10.92  | | | | | | | | | | |   (106)  all_10_4 = e3
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | COMBINE_EQS: (18), (106) imply:
% 72.88/10.92  | | | | | | | | | | |   (107)  all_4_20 = e3
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | SIMP: (107) implies:
% 72.88/10.92  | | | | | | | | | | |   (108)  all_4_20 = e3
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | REDUCE: (14), (108) imply:
% 72.88/10.92  | | | | | | | | | | |   (109)  $false
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | | CLOSE: (109) is inconsistent.
% 72.88/10.92  | | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | End of split
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | Case 2:
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | |   (110)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | | REF_CLOSE: (3), (7), (9), (10), (25), (38), (110) are
% 72.88/10.92  | | | | | | | | | |            inconsistent by sub-proof #190.
% 72.88/10.92  | | | | | | | | | | 
% 72.88/10.92  | | | | | | | | | End of split
% 72.88/10.92  | | | | | | | | | 
% 72.88/10.92  | | | | | | | | End of split
% 72.88/10.92  | | | | | | | | 
% 72.88/10.92  | | | | | | | End of split
% 72.88/10.92  | | | | | | | 
% 72.88/10.92  | | | | | | End of split
% 72.88/10.92  | | | | | | 
% 72.88/10.92  | | | | | End of split
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | Case 2:
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | |   (111)  all_6_8 = e4 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | REF_CLOSE: (12), (16), (30), (33), (82), (111) are inconsistent by
% 72.88/10.92  | | | | |            sub-proof #206.
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | End of split
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | Case 2:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (112)  all_6_5 = e4 | all_6_5 = e1 | all_6_5 = e0
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | REF_CLOSE: (5), (13), (20), (74), (112) are inconsistent by sub-proof
% 72.88/10.92  | | | |            #205.
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | End of split
% 72.88/10.92  | | | 
% 72.88/10.92  | | End of split
% 72.88/10.92  | | 
% 72.88/10.92  | End of split
% 72.88/10.92  | 
% 72.88/10.92  End of proof
% 72.88/10.92  
% 72.88/10.92  Sub-proof #187 shows that the following formulas are inconsistent:
% 72.88/10.92  ----------------------------------------------------------------
% 72.88/10.92    (1)   ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))
% 72.88/10.92    (2)  all_10_5 = e2
% 72.88/10.92    (3)  all_10_7 = e1
% 72.88/10.92    (4)   ~ (e4 = e1)
% 72.88/10.92  
% 72.88/10.92  Begin of proof
% 72.88/10.92  | 
% 72.88/10.92  | BETA: splitting (1) gives:
% 72.88/10.92  | 
% 72.88/10.92  | Case 1:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (5)   ~ (all_10_5 = e2)
% 72.88/10.92  | | 
% 72.88/10.92  | | REDUCE: (2), (5) imply:
% 72.88/10.92  | |   (6)  $false
% 72.88/10.92  | | 
% 72.88/10.92  | | CLOSE: (6) is inconsistent.
% 72.88/10.92  | | 
% 72.88/10.92  | Case 2:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (7)  all_10_7 = e4 &  ~ (unit = e2)
% 72.88/10.92  | | 
% 72.88/10.92  | | ALPHA: (7) implies:
% 72.88/10.92  | |   (8)  all_10_7 = e4
% 72.88/10.92  | | 
% 72.88/10.92  | | COMBINE_EQS: (3), (8) imply:
% 72.88/10.92  | |   (9)  e4 = e1
% 72.88/10.92  | | 
% 72.88/10.92  | | SIMP: (9) implies:
% 72.88/10.92  | |   (10)  e4 = e1
% 72.88/10.92  | | 
% 72.88/10.92  | | REDUCE: (4), (10) imply:
% 72.88/10.92  | |   (11)  $false
% 72.88/10.92  | | 
% 72.88/10.92  | | CLOSE: (11) is inconsistent.
% 72.88/10.92  | | 
% 72.88/10.92  | End of split
% 72.88/10.92  | 
% 72.88/10.92  End of proof
% 72.88/10.92  
% 72.88/10.92  Sub-proof #188 shows that the following formulas are inconsistent:
% 72.88/10.92  ----------------------------------------------------------------
% 72.88/10.92    (1)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.88/10.92               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 72.88/10.92               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 72.88/10.92                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 72.88/10.92           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 72.88/10.92               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 72.88/10.92               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 72.88/10.92                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 72.88/10.92           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 72.88/10.92             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 72.88/10.92             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 72.88/10.92             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 72.88/10.92             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 72.88/10.92               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 72.88/10.92           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.92             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.92             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.92             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 72.88/10.92             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 72.88/10.92             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 72.88/10.92             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 72.88/10.92             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 72.88/10.92             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 72.88/10.92               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 72.88/10.92             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 72.88/10.92               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 72.88/10.92             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 72.88/10.92               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 72.88/10.92             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 72.88/10.92               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 72.88/10.92             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 72.88/10.92               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 72.88/10.92           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.92             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.92             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.92             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.92             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.92             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.92             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.92             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.88/10.92               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.88/10.92           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.92             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 72.88/10.92    (2)  all_10_6 = e4
% 72.88/10.92    (3)  all_10_5 = e2
% 72.88/10.92    (4)  all_10_8 = e3
% 72.88/10.92    (5)   ~ (e3 = e2)
% 72.88/10.92    (6)   ~ (e4 = e1)
% 72.88/10.92  
% 72.88/10.92  Begin of proof
% 72.88/10.92  | 
% 72.88/10.92  | BETA: splitting (1) gives:
% 72.88/10.92  | 
% 72.88/10.92  | Case 1:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (7)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 72.88/10.92  | |          (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0
% 72.88/10.92  | |            = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 & 
% 72.88/10.92  | |            ~ (unit = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit
% 72.88/10.92  | |              = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6
% 72.88/10.92  | |            = e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.88/10.92  | |          (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.88/10.92  | |            = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.88/10.92  | |            ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.88/10.92  | |          (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.92  | |          (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.92  | |          (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.92  | |          (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.92  | |          (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.88/10.92  | |          (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.88/10.92  | |          (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.88/10.92  | |          (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.88/10.92  | |          (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 72.88/10.92  | |          (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 72.88/10.92  | |              e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 72.88/10.92  | |              e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 72.88/10.92  | |              e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 72.88/10.92  | |              e4)))
% 72.88/10.92  | | 
% 72.88/10.92  | | ALPHA: (7) implies:
% 72.88/10.92  | |   (8)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 72.88/10.92  | | 
% 72.88/10.92  | | REF_CLOSE: (2), (3), (5), (8) are inconsistent by sub-proof #189.
% 72.88/10.92  | | 
% 72.88/10.92  | Case 2:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (9)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.92  | |          (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1
% 72.88/10.92  | |            = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 & 
% 72.88/10.92  | |            ~ (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit
% 72.88/10.92  | |              = e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit =
% 72.88/10.92  | |              e3))) & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 =
% 72.88/10.92  | |            e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 72.88/10.92  | |          (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6
% 72.88/10.92  | |            = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4
% 72.88/10.92  | |            &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.88/10.92  | |          (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.88/10.92  | |          (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.92  | |          (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.92  | |          (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.92  | |          (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.92  | |          (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.92  | |          (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.92  | |          (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.92  | |          (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 72.88/10.92  | |          (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 72.88/10.92  | |              e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 72.88/10.92  | |              e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 72.88/10.92  | |              e3)))
% 72.88/10.92  | | 
% 72.88/10.92  | | REF_CLOSE: (2), (4), (6), (9) are inconsistent by sub-proof #273.
% 72.88/10.92  | | 
% 72.88/10.92  | End of split
% 72.88/10.92  | 
% 72.88/10.92  End of proof
% 72.88/10.92  
% 72.88/10.92  Sub-proof #189 shows that the following formulas are inconsistent:
% 72.88/10.92  ----------------------------------------------------------------
% 72.88/10.92    (1)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 72.88/10.92    (2)  all_10_6 = e4
% 72.88/10.92    (3)  all_10_5 = e2
% 72.88/10.92    (4)   ~ (e3 = e2)
% 72.88/10.92  
% 72.88/10.92  Begin of proof
% 72.88/10.92  | 
% 72.88/10.92  | BETA: splitting (1) gives:
% 72.88/10.92  | 
% 72.88/10.92  | Case 1:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (5)   ~ (all_10_6 = e4)
% 72.88/10.92  | | 
% 72.88/10.92  | | REDUCE: (2), (5) imply:
% 72.88/10.92  | |   (6)  $false
% 72.88/10.92  | | 
% 72.88/10.92  | | CLOSE: (6) is inconsistent.
% 72.88/10.92  | | 
% 72.88/10.92  | Case 2:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (7)  all_10_5 = e3 &  ~ (unit = e4)
% 72.88/10.92  | | 
% 72.88/10.92  | | ALPHA: (7) implies:
% 72.88/10.92  | |   (8)  all_10_5 = e3
% 72.88/10.92  | | 
% 72.88/10.92  | | COMBINE_EQS: (3), (8) imply:
% 72.88/10.92  | |   (9)  e3 = e2
% 72.88/10.92  | | 
% 72.88/10.92  | | REDUCE: (4), (9) imply:
% 72.88/10.92  | |   (10)  $false
% 72.88/10.92  | | 
% 72.88/10.92  | | CLOSE: (10) is inconsistent.
% 72.88/10.92  | | 
% 72.88/10.92  | End of split
% 72.88/10.92  | 
% 72.88/10.92  End of proof
% 72.88/10.92  
% 72.88/10.92  Sub-proof #190 shows that the following formulas are inconsistent:
% 72.88/10.92  ----------------------------------------------------------------
% 72.88/10.92    (1)  all_8_9 = all_4_15
% 72.88/10.92    (2)  all_8_4 = all_4_10
% 72.88/10.92    (3)   ~ (all_4_15 = e0)
% 72.88/10.92    (4)   ~ (all_4_10 = e0)
% 72.88/10.92    (5)  all_8_16 = all_4_20
% 72.88/10.92    (6)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 72.88/10.92    (7)   ~ (all_4_20 = e0)
% 72.88/10.92  
% 72.88/10.92  Begin of proof
% 72.88/10.92  | 
% 72.88/10.92  | BETA: splitting (6) gives:
% 72.88/10.92  | 
% 72.88/10.92  | Case 1:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (8)  all_8_4 = e0
% 72.88/10.92  | | 
% 72.88/10.92  | | COMBINE_EQS: (2), (8) imply:
% 72.88/10.92  | |   (9)  all_4_10 = e0
% 72.88/10.92  | | 
% 72.88/10.92  | | SIMP: (9) implies:
% 72.88/10.92  | |   (10)  all_4_10 = e0
% 72.88/10.92  | | 
% 72.88/10.92  | | REDUCE: (4), (10) imply:
% 72.88/10.92  | |   (11)  $false
% 72.88/10.92  | | 
% 72.88/10.92  | | CLOSE: (11) is inconsistent.
% 72.88/10.92  | | 
% 72.88/10.92  | Case 2:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (12)  all_8_9 = e0 | all_8_16 = e0
% 72.88/10.92  | | 
% 72.88/10.92  | | BETA: splitting (12) gives:
% 72.88/10.92  | | 
% 72.88/10.92  | | Case 1:
% 72.88/10.92  | | | 
% 72.88/10.92  | | |   (13)  all_8_9 = e0
% 72.88/10.92  | | | 
% 72.88/10.92  | | | COMBINE_EQS: (1), (13) imply:
% 72.88/10.92  | | |   (14)  all_4_15 = e0
% 72.88/10.92  | | | 
% 72.88/10.92  | | | REDUCE: (3), (14) imply:
% 72.88/10.92  | | |   (15)  $false
% 72.88/10.92  | | | 
% 72.88/10.92  | | | CLOSE: (15) is inconsistent.
% 72.88/10.92  | | | 
% 72.88/10.92  | | Case 2:
% 72.88/10.92  | | | 
% 72.88/10.92  | | |   (16)  all_8_16 = e0
% 72.88/10.92  | | | 
% 72.88/10.92  | | | COMBINE_EQS: (5), (16) imply:
% 72.88/10.92  | | |   (17)  all_4_20 = e0
% 72.88/10.92  | | | 
% 72.88/10.92  | | | SIMP: (17) implies:
% 72.88/10.92  | | |   (18)  all_4_20 = e0
% 72.88/10.92  | | | 
% 72.88/10.92  | | | REDUCE: (7), (18) imply:
% 72.88/10.92  | | |   (19)  $false
% 72.88/10.92  | | | 
% 72.88/10.92  | | | CLOSE: (19) is inconsistent.
% 72.88/10.92  | | | 
% 72.88/10.92  | | End of split
% 72.88/10.92  | | 
% 72.88/10.92  | End of split
% 72.88/10.92  | 
% 72.88/10.92  End of proof
% 72.88/10.92  
% 72.88/10.92  Sub-proof #191 shows that the following formulas are inconsistent:
% 72.88/10.92  ----------------------------------------------------------------
% 72.88/10.92    (1)  all_8_0 = e3
% 72.88/10.92    (2)  all_8_0 = e0
% 72.88/10.92    (3)   ~ (e3 = e0)
% 72.88/10.92  
% 72.88/10.92  Begin of proof
% 72.88/10.92  | 
% 72.88/10.92  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.92  |   (4)  e3 = e0
% 72.88/10.92  | 
% 72.88/10.92  | SIMP: (4) implies:
% 72.88/10.92  |   (5)  e3 = e0
% 72.88/10.92  | 
% 72.88/10.92  | REDUCE: (3), (5) imply:
% 72.88/10.92  |   (6)  $false
% 72.88/10.92  | 
% 72.88/10.92  | CLOSE: (6) is inconsistent.
% 72.88/10.92  | 
% 72.88/10.92  End of proof
% 72.88/10.92  
% 72.88/10.92  Sub-proof #192 shows that the following formulas are inconsistent:
% 72.88/10.92  ----------------------------------------------------------------
% 72.88/10.92    (1)   ~ (e3 = e0)
% 72.88/10.92    (2)  all_10_24 = e0
% 72.88/10.92    (3)   ~ (e1 = e0)
% 72.88/10.92    (4)  all_10_18 = e0
% 72.88/10.92    (5)   ~ (e2 = e0)
% 72.88/10.92    (6)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.88/10.92           all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 & all_10_24 = e3
% 72.88/10.92           &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21
% 72.88/10.92             = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)) |
% 72.88/10.92         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12 = e0
% 72.88/10.92           & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 & all_10_24 =
% 72.88/10.92           e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 & all_10_24 = e1 &  ~
% 72.88/10.92           (all_10_19 = e1)) | (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 =
% 72.88/10.92             e0))
% 72.88/10.92  
% 72.88/10.92  Begin of proof
% 72.88/10.92  | 
% 72.88/10.92  | BETA: splitting (6) gives:
% 72.88/10.92  | 
% 72.88/10.92  | Case 1:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (7)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 72.88/10.92  | |          e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)) | (all_10_6 = e0 &
% 72.88/10.92  | |          all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 = e0 & all_10_24 =
% 72.88/10.92  | |          e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 & all_10_18 = e2 &  ~
% 72.88/10.92  | |          (all_10_13 = e2))
% 72.88/10.92  | | 
% 72.88/10.92  | | BETA: splitting (7) gives:
% 72.88/10.92  | | 
% 72.88/10.92  | | Case 1:
% 72.88/10.92  | | | 
% 72.88/10.92  | | |   (8)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 =
% 72.88/10.92  | | |          e1 & all_10_18 = e3 &  ~ (all_10_16 = e1))
% 72.88/10.92  | | | 
% 72.88/10.92  | | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #195.
% 72.88/10.92  | | | 
% 72.88/10.92  | | Case 2:
% 72.88/10.92  | | | 
% 72.88/10.92  | | |   (9)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)) | (all_10_6 =
% 72.88/10.92  | | |          e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) | (all_10_12 = e1 &
% 72.88/10.92  | | |          all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.92  | | | 
% 72.88/10.92  | | | BETA: splitting (9) gives:
% 72.88/10.92  | | | 
% 72.88/10.92  | | | Case 1:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (10)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_9 = e3)
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | ALPHA: (10) implies:
% 72.88/10.92  | | | |   (11)  all_10_24 = e3
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | COMBINE_EQS: (2), (11) imply:
% 72.88/10.92  | | | |   (12)  e3 = e0
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | REDUCE: (1), (12) imply:
% 72.88/10.92  | | | |   (13)  $false
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | CLOSE: (13) is inconsistent.
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | Case 2:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (14)  (all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)) |
% 72.88/10.92  | | | |         (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2))
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | BETA: splitting (14) gives:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | Case 1:
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | |   (15)  all_10_6 = e0 & all_10_24 = e3 &  ~ (all_10_21 = e0)
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | ALPHA: (15) implies:
% 72.88/10.92  | | | | |   (16)  all_10_24 = e3
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | COMBINE_EQS: (2), (16) imply:
% 72.88/10.92  | | | | |   (17)  e3 = e0
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | REDUCE: (1), (17) imply:
% 72.88/10.92  | | | | |   (18)  $false
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | CLOSE: (18) is inconsistent.
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | Case 2:
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | |   (19)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | REF_CLOSE: (4), (5), (19) are inconsistent by sub-proof #194.
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | End of split
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | End of split
% 72.88/10.92  | | | 
% 72.88/10.92  | | End of split
% 72.88/10.92  | | 
% 72.88/10.92  | Case 2:
% 72.88/10.92  | | 
% 72.88/10.92  | |   (20)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) | (all_10_12
% 72.88/10.92  | |           = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)) | (all_10_12 = e0 &
% 72.88/10.92  | |           all_10_24 = e2 &  ~ (all_10_22 = e0)) | (all_10_18 = e0 &
% 72.88/10.92  | |           all_10_24 = e1 &  ~ (all_10_19 = e1)) | (all_10_18 = e0 &
% 72.88/10.92  | |           all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.92  | | 
% 72.88/10.92  | | BETA: splitting (20) gives:
% 72.88/10.92  | | 
% 72.88/10.92  | | Case 1:
% 72.88/10.92  | | | 
% 72.88/10.92  | | |   (21)  (all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)) |
% 72.88/10.92  | | |         (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2))
% 72.88/10.92  | | | 
% 72.88/10.92  | | | BETA: splitting (21) gives:
% 72.88/10.92  | | | 
% 72.88/10.92  | | | Case 1:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (22)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | REF_CLOSE: (4), (5), (22) are inconsistent by sub-proof #193.
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | Case 2:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (23)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_14 = e2)
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | ALPHA: (23) implies:
% 72.88/10.92  | | | |   (24)  all_10_24 = e2
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | COMBINE_EQS: (2), (24) imply:
% 72.88/10.92  | | | |   (25)  e2 = e0
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | REDUCE: (5), (25) imply:
% 72.88/10.92  | | | |   (26)  $false
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | CLOSE: (26) is inconsistent.
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | End of split
% 72.88/10.92  | | | 
% 72.88/10.92  | | Case 2:
% 72.88/10.92  | | | 
% 72.88/10.92  | | |   (27)  (all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)) |
% 72.88/10.92  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 72.88/10.92  | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.92  | | | 
% 72.88/10.92  | | | BETA: splitting (27) gives:
% 72.88/10.92  | | | 
% 72.88/10.92  | | | Case 1:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (28)  all_10_12 = e0 & all_10_24 = e2 &  ~ (all_10_22 = e0)
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | ALPHA: (28) implies:
% 72.88/10.92  | | | |   (29)  all_10_24 = e2
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | COMBINE_EQS: (2), (29) imply:
% 72.88/10.92  | | | |   (30)  e2 = e0
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | REDUCE: (5), (30) imply:
% 72.88/10.92  | | | |   (31)  $false
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | CLOSE: (31) is inconsistent.
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | Case 2:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | |   (32)  (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)) |
% 72.88/10.92  | | | |         (all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0))
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | BETA: splitting (32) gives:
% 72.88/10.92  | | | | 
% 72.88/10.92  | | | | Case 1:
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | |   (33)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_19 = e1)
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | ALPHA: (33) implies:
% 72.88/10.92  | | | | |   (34)  all_10_24 = e1
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | COMBINE_EQS: (2), (34) imply:
% 72.88/10.92  | | | | |   (35)  e1 = e0
% 72.88/10.92  | | | | | 
% 72.88/10.92  | | | | | REDUCE: (3), (35) imply:
% 72.88/10.93  | | | | |   (36)  $false
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | | CLOSE: (36) is inconsistent.
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | Case 2:
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | |   (37)  all_10_18 = e0 & all_10_24 = e1 &  ~ (all_10_23 = e0)
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | | ALPHA: (37) implies:
% 72.88/10.93  | | | | |   (38)  all_10_24 = e1
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | | COMBINE_EQS: (2), (38) imply:
% 72.88/10.93  | | | | |   (39)  e1 = e0
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | | REDUCE: (3), (39) imply:
% 72.88/10.93  | | | | |   (40)  $false
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | | CLOSE: (40) is inconsistent.
% 72.88/10.93  | | | | | 
% 72.88/10.93  | | | | End of split
% 72.88/10.93  | | | | 
% 72.88/10.93  | | | End of split
% 72.88/10.93  | | | 
% 72.88/10.93  | | End of split
% 72.88/10.93  | | 
% 72.88/10.93  | End of split
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #193 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_17 = e1)
% 72.88/10.93    (2)  all_10_18 = e0
% 72.88/10.93    (3)   ~ (e2 = e0)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | ALPHA: (1) implies:
% 72.88/10.93  |   (4)  all_10_18 = e2
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.93  |   (5)  e2 = e0
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #194 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_12 = e1 & all_10_18 = e2 &  ~ (all_10_13 = e2)
% 72.88/10.93    (2)  all_10_18 = e0
% 72.88/10.93    (3)   ~ (e2 = e0)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | ALPHA: (1) implies:
% 72.88/10.93  |   (4)  all_10_18 = e2
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.93  |   (5)  e2 = e0
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #195 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  (all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)) | (all_10_6 = e1 &
% 72.88/10.93           all_10_18 = e3 &  ~ (all_10_16 = e1))
% 72.88/10.93    (2)  all_10_18 = e0
% 72.88/10.93    (3)   ~ (e3 = e0)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | BETA: splitting (1) gives:
% 72.88/10.93  | 
% 72.88/10.93  | Case 1:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (4)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_8 = e3)
% 72.88/10.93  | | 
% 72.88/10.93  | | ALPHA: (4) implies:
% 72.88/10.93  | |   (5)  all_10_18 = e3
% 72.88/10.93  | | 
% 72.88/10.93  | | COMBINE_EQS: (2), (5) imply:
% 72.88/10.93  | |   (6)  e3 = e0
% 72.88/10.93  | | 
% 72.88/10.93  | | REDUCE: (3), (6) imply:
% 72.88/10.93  | |   (7)  $false
% 72.88/10.93  | | 
% 72.88/10.93  | | CLOSE: (7) is inconsistent.
% 72.88/10.93  | | 
% 72.88/10.93  | Case 2:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (8)  all_10_6 = e1 & all_10_18 = e3 &  ~ (all_10_16 = e1)
% 72.88/10.93  | | 
% 72.88/10.93  | | ALPHA: (8) implies:
% 72.88/10.93  | |   (9)  all_10_18 = e3
% 72.88/10.93  | | 
% 72.88/10.93  | | COMBINE_EQS: (2), (9) imply:
% 72.88/10.93  | |   (10)  e3 = e0
% 72.88/10.93  | | 
% 72.88/10.93  | | REDUCE: (3), (10) imply:
% 72.88/10.93  | |   (11)  $false
% 72.88/10.93  | | 
% 72.88/10.93  | | CLOSE: (11) is inconsistent.
% 72.88/10.93  | | 
% 72.88/10.93  | End of split
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #196 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_6 = e4
% 72.88/10.93    (2)   ~ (e4 = e0)
% 72.88/10.93    (3)   ~ (e4 = e2)
% 72.88/10.93    (4)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 = e0 &
% 72.88/10.93           all_10_24 = e4 &  ~ (all_10_4 = e4)) | (all_10_0 = e0 & all_10_24 = e4
% 72.88/10.93           &  ~ (all_10_20 = e0)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7
% 72.88/10.93             = e3)) | (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.93    (5)  all_10_24 = e0
% 72.88/10.93    (6)  all_10_18 = e0
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | BETA: splitting (4) gives:
% 72.88/10.93  | 
% 72.88/10.93  | Case 1:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (7)  (all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)) | (all_10_0 =
% 72.88/10.93  | |          e0 & all_10_24 = e4 &  ~ (all_10_4 = e4))
% 72.88/10.93  | | 
% 72.88/10.93  | | BETA: splitting (7) gives:
% 72.88/10.93  | | 
% 72.88/10.93  | | Case 1:
% 72.88/10.93  | | | 
% 72.88/10.93  | | |   (8)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)
% 72.88/10.93  | | | 
% 72.88/10.93  | | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #199.
% 72.88/10.93  | | | 
% 72.88/10.93  | | Case 2:
% 72.88/10.93  | | | 
% 72.88/10.93  | | |   (9)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_4 = e4)
% 72.88/10.93  | | | 
% 72.88/10.93  | | | ALPHA: (9) implies:
% 72.88/10.93  | | |   (10)  all_10_24 = e4
% 72.88/10.93  | | | 
% 72.88/10.93  | | | COMBINE_EQS: (5), (10) imply:
% 72.88/10.93  | | |   (11)  e4 = e0
% 72.88/10.93  | | | 
% 72.88/10.93  | | | REDUCE: (2), (11) imply:
% 72.88/10.93  | | |   (12)  $false
% 72.88/10.93  | | | 
% 72.88/10.93  | | | CLOSE: (12) is inconsistent.
% 72.88/10.93  | | | 
% 72.88/10.93  | | End of split
% 72.88/10.93  | | 
% 72.88/10.93  | Case 2:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (13)  (all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)) | (all_10_6 =
% 72.88/10.93  | |           e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 72.88/10.93  | |           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.93  | | 
% 72.88/10.93  | | BETA: splitting (13) gives:
% 72.88/10.93  | | 
% 72.88/10.93  | | Case 1:
% 72.88/10.93  | | | 
% 72.88/10.93  | | |   (14)  all_10_0 = e0 & all_10_24 = e4 &  ~ (all_10_20 = e0)
% 72.88/10.93  | | | 
% 72.88/10.93  | | | ALPHA: (14) implies:
% 72.88/10.93  | | |   (15)  all_10_24 = e4
% 72.88/10.93  | | | 
% 72.88/10.93  | | | COMBINE_EQS: (5), (15) imply:
% 72.88/10.93  | | |   (16)  e4 = e0
% 72.88/10.93  | | | 
% 72.88/10.93  | | | REDUCE: (2), (16) imply:
% 72.88/10.93  | | |   (17)  $false
% 72.88/10.93  | | | 
% 72.88/10.93  | | | CLOSE: (17) is inconsistent.
% 72.88/10.93  | | | 
% 72.88/10.93  | | Case 2:
% 72.88/10.93  | | | 
% 72.88/10.93  | | |   (18)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6
% 72.88/10.93  | | |           = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.93  | | | 
% 72.88/10.93  | | | REF_CLOSE: (1), (3), (18) are inconsistent by sub-proof #197.
% 72.88/10.93  | | | 
% 72.88/10.93  | | End of split
% 72.88/10.93  | | 
% 72.88/10.93  | End of split
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #197 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  (all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)) | (all_10_6 = e2 &
% 72.88/10.93           all_10_12 = e3 &  ~ (all_10_11 = e2))
% 72.88/10.93    (2)  all_10_6 = e4
% 72.88/10.93    (3)   ~ (e4 = e2)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | BETA: splitting (1) gives:
% 72.88/10.93  | 
% 72.88/10.93  | Case 1:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (4)  all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_7 = e3)
% 72.88/10.93  | | 
% 72.88/10.93  | | ALPHA: (4) implies:
% 72.88/10.93  | |   (5)  all_10_6 = e2
% 72.88/10.93  | | 
% 72.88/10.93  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #198.
% 72.88/10.93  | | 
% 72.88/10.93  | Case 2:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (6)  all_10_6 = e2 & all_10_12 = e3 &  ~ (all_10_11 = e2)
% 72.88/10.93  | | 
% 72.88/10.93  | | ALPHA: (6) implies:
% 72.88/10.93  | |   (7)  all_10_6 = e2
% 72.88/10.93  | | 
% 72.88/10.93  | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #198.
% 72.88/10.93  | | 
% 72.88/10.93  | End of split
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #198 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_6 = e4
% 72.88/10.93    (2)  all_10_6 = e2
% 72.88/10.93    (3)   ~ (e4 = e2)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (1), (2) imply:
% 72.88/10.93  |   (4)  e4 = e2
% 72.88/10.93  | 
% 72.88/10.93  | SIMP: (4) implies:
% 72.88/10.93  |   (5)  e4 = e2
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #199 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_15 = e1)
% 72.88/10.93    (2)  all_10_18 = e0
% 72.88/10.93    (3)   ~ (e4 = e0)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | ALPHA: (1) implies:
% 72.88/10.93  |   (4)  all_10_18 = e4
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.93  |   (5)  e4 = e0
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #200 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)   ~ (e4 = e0)
% 72.88/10.93    (2)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)) | (all_10_0 = e2 &
% 72.88/10.93           all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 = e1 & all_10_18 = e4
% 72.88/10.93           &  ~ (all_10_3 = e4))
% 72.88/10.93    (3)   ~ (e4 = e3)
% 72.88/10.93    (4)  all_10_18 = e0
% 72.88/10.93    (5)  all_10_12 = e3
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | BETA: splitting (2) gives:
% 72.88/10.93  | 
% 72.88/10.93  | Case 1:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (6)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)
% 72.88/10.93  | | 
% 72.88/10.93  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #203.
% 72.88/10.93  | | 
% 72.88/10.93  | Case 2:
% 72.88/10.93  | | 
% 72.88/10.93  | |   (7)  (all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)) | (all_10_0 =
% 72.88/10.93  | |          e1 & all_10_18 = e4 &  ~ (all_10_3 = e4))
% 72.88/10.93  | | 
% 72.88/10.93  | | BETA: splitting (7) gives:
% 72.88/10.93  | | 
% 72.88/10.93  | | Case 1:
% 72.88/10.93  | | | 
% 72.88/10.93  | | |   (8)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)
% 72.88/10.93  | | | 
% 72.88/10.93  | | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #202.
% 72.88/10.93  | | | 
% 72.88/10.93  | | Case 2:
% 72.88/10.93  | | | 
% 72.88/10.93  | | |   (9)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)
% 72.88/10.93  | | | 
% 72.88/10.93  | | | REF_CLOSE: (1), (4), (9) are inconsistent by sub-proof #201.
% 72.88/10.93  | | | 
% 72.88/10.93  | | End of split
% 72.88/10.93  | | 
% 72.88/10.93  | End of split
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #201 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_0 = e1 & all_10_18 = e4 &  ~ (all_10_3 = e4)
% 72.88/10.93    (2)  all_10_18 = e0
% 72.88/10.93    (3)   ~ (e4 = e0)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | ALPHA: (1) implies:
% 72.88/10.93  |   (4)  all_10_18 = e4
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.93  |   (5)  e4 = e0
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #202 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_10 = e2)
% 72.88/10.93    (2)  all_10_12 = e3
% 72.88/10.93    (3)   ~ (e4 = e3)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | ALPHA: (1) implies:
% 72.88/10.93  |   (4)  all_10_12 = e4
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.93  |   (5)  e4 = e3
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #203 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_10_0 = e2 & all_10_12 = e4 &  ~ (all_10_2 = e4)
% 72.88/10.93    (2)  all_10_12 = e3
% 72.88/10.93    (3)   ~ (e4 = e3)
% 72.88/10.93  
% 72.88/10.93  Begin of proof
% 72.88/10.93  | 
% 72.88/10.93  | ALPHA: (1) implies:
% 72.88/10.93  |   (4)  all_10_12 = e4
% 72.88/10.93  | 
% 72.88/10.93  | COMBINE_EQS: (2), (4) imply:
% 72.88/10.93  |   (5)  e4 = e3
% 72.88/10.93  | 
% 72.88/10.93  | REDUCE: (3), (5) imply:
% 72.88/10.93  |   (6)  $false
% 72.88/10.93  | 
% 72.88/10.93  | CLOSE: (6) is inconsistent.
% 72.88/10.93  | 
% 72.88/10.93  End of proof
% 72.88/10.93  
% 72.88/10.93  Sub-proof #204 shows that the following formulas are inconsistent:
% 72.88/10.93  ----------------------------------------------------------------
% 72.88/10.93    (1)  all_8_6 = all_4_2
% 72.88/10.93    (2)  all_10_2 = e0
% 72.88/10.93    (3)   ~ (all_4_21 = all_4_23)
% 72.88/10.93    (4)   ~ (all_4_5 = all_4_9)
% 72.88/10.93    (5)  all_10_6 = e4
% 72.88/10.93    (6)  op(e2, unit) = e2
% 72.88/10.93    (7)  all_8_9 = all_4_15
% 72.88/10.93    (8)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 72.88/10.93         e0
% 72.88/10.93    (9)   ~ (all_4_1 = e4)
% 72.88/10.93    (10)   ~ (all_4_16 = all_4_19)
% 72.88/10.93    (11)   ~ (all_4_4 = all_4_19)
% 72.88/10.93    (12)   ~ (e3 = e1)
% 72.88/10.93    (13)  all_8_24 = e0
% 72.88/10.93    (14)  all_10_5 = all_4_1
% 72.88/10.93    (15)  op(e0, e3) = all_4_9
% 72.88/10.93    (16)  all_8_14 = all_4_13
% 72.88/10.93    (17)  all_8_9 = e1 | all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 | all_8_23
% 72.88/10.93          = e1
% 72.88/10.93    (18)   ~ (all_4_15 = all_4_19)
% 72.88/10.93    (19)  all_10_15 = all_4_3
% 72.88/10.93    (20)  unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 72.88/10.93    (21)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 72.88/10.93    (22)  all_8_13 = all_4_8
% 72.88/10.93    (23)   ~ (all_4_21 = e4)
% 72.88/10.93    (24)   ~ (all_4_22 = all_4_23)
% 72.88/10.93    (25)   ~ (all_4_16 = all_4_17)
% 72.88/10.93    (26)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 72.88/10.93          e2
% 72.88/10.93    (27)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0
% 72.88/10.93    (28)   ~ (all_4_21 = all_4_22)
% 72.88/10.93    (29)   ~ (all_4_15 = e0)
% 72.88/10.93    (30)  all_10_3 = all_4_15
% 72.88/10.93    (31)   ~ (all_4_21 = e1)
% 72.88/10.93    (32)  op(unit, e3) = e3
% 72.88/10.93    (33)  all_10_14 = all_4_22
% 72.88/10.93    (34)   ~ (all_4_16 = all_4_21)
% 72.88/10.93    (35)  all_6_1 = all_4_5
% 72.88/10.93    (36)   ~ (all_4_5 = e4)
% 72.88/10.93    (37)  all_10_8 = all_4_16
% 72.88/10.93    (38)   ~ (e4 = e0)
% 72.88/10.93    (39)  all_6_8 = all_4_16
% 72.88/10.93    (40)  all_8_3 = e4
% 72.88/10.93    (41)   ~ (all_4_2 = all_4_4)
% 72.88/10.93    (42)  all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 | all_8_24
% 72.88/10.93          = e1
% 72.88/10.93    (43)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13
% 72.88/10.93          = e0
% 72.88/10.93    (44)   ~ (all_4_1 = e1)
% 72.88/10.93    (45)  all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24
% 72.88/10.93          = e2
% 72.88/10.93    (46)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20
% 72.88/10.93          = e0
% 72.88/10.93    (47)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 72.88/10.93          e0
% 72.88/10.93    (48)  all_10_21 = all_4_9
% 72.88/10.93    (49)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 72.88/10.93                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 72.88/10.93                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 72.88/10.93                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 72.88/10.93                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 72.88/10.93                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 72.88/10.93              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 72.88/10.93                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 72.88/10.93                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 72.88/10.93              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 72.88/10.93              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.93              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.93              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 72.88/10.93              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 72.88/10.93              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 72.88/10.93              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 72.88/10.93              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 72.88/10.93              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 72.88/10.93                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 72.88/10.93            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 72.88/10.93              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 72.88/10.93              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 72.88/10.93              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 72.88/10.93                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 72.88/10.93                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 72.88/10.93                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 72.88/10.93                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 72.88/10.93            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 72.88/10.93              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 72.88/10.93                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 72.88/10.93                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 72.88/10.93                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 72.88/10.93              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 72.88/10.93              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.93              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 72.88/10.93              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 72.88/10.93              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 72.88/10.93              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 72.88/10.93              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 72.88/10.93              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 72.88/10.93              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 72.88/10.93                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 72.88/10.93            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 72.88/10.93              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 72.88/10.93              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 72.88/10.93                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 72.88/10.93              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 72.88/10.93                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 72.88/10.93            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.93              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 72.88/10.93                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 72.88/10.93                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 72.88/10.93                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 72.88/10.93                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 72.88/10.93                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 72.88/10.93                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 72.88/10.93              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 72.88/10.93              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 72.88/10.93              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 72.88/10.93                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 72.88/10.93            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 72.88/10.93              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 72.88/10.93              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 72.88/10.93              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 72.88/10.93              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 72.88/10.93              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 72.88/10.93              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 72.88/10.93                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 72.88/10.93                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 72.88/10.93              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 72.88/10.93                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 72.88/10.93              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 72.88/10.93                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 72.88/10.93            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 72.88/10.93              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 72.88/10.93              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 72.88/10.93              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 72.88/10.93              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 72.88/10.93                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 72.88/10.93            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 72.88/10.93              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 72.88/10.93              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 72.88/10.93              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 72.88/10.93                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 72.88/10.93                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 72.88/10.93                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 72.88/10.93                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 72.88/10.93              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 72.88/10.93                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 72.88/10.93                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 72.88/10.93              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 72.88/10.93              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 72.88/10.93              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 72.88/10.93              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 72.88/10.93              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 72.88/10.93                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 72.88/10.93            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 72.88/10.93              (all_10_24 = e0) |  ~ (unit = e0)))
% 72.88/10.93    (50)  all_6_13 = all_4_17
% 72.88/10.93    (51)   ~ (all_4_8 = all_4_9)
% 72.88/10.93    (52)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 72.88/10.93          e1
% 72.88/10.93    (53)  all_8_15 = e0
% 72.88/10.93    (54)  all_10_23 = all_4_19
% 72.88/10.93    (55)   ~ (all_4_16 = e0)
% 72.88/10.93    (56)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | all_6_14
% 72.88/10.93          = e0
% 72.88/10.93    (57)   ~ (all_4_2 = all_4_3)
% 72.88/10.93    (58)   ~ (all_4_3 = e3)
% 72.88/10.93    (59)   ~ (all_4_5 = all_4_8)
% 72.88/10.93    (60)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 72.88/10.93            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 72.88/10.93    (61)  all_10_4 = all_4_20
% 72.88/10.93    (62)  all_8_10 = all_4_16
% 72.88/10.93    (63)   ~ (all_4_1 = all_4_16)
% 72.88/10.93    (64)  all_6_5 = all_4_1
% 72.88/10.93    (65)   ~ (all_4_8 = all_4_23)
% 72.88/10.93    (66)   ~ (all_4_17 = e0)
% 72.88/10.93    (67)  op(unit, e2) = e2
% 72.88/10.93    (68)  all_8_23 = all_4_19
% 72.88/10.93    (69)   ~ (all_4_2 = e3)
% 72.88/10.93    (70)  op(e2, e4) = all_4_2
% 72.88/10.93    (71)  op(e3, e2) = e1
% 72.88/10.93    (72)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 72.88/10.93    (73)  all_8_17 = all_4_21
% 72.88/10.93    (74)   ~ (all_4_1 = all_4_4)
% 72.88/10.93    (75)   ~ (all_4_1 = e3)
% 72.88/10.93    (76)  all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23
% 72.88/10.93          = e4
% 72.88/10.93    (77)   ~ (all_4_5 = all_4_20)
% 72.88/10.93    (78)   ~ (all_4_1 = all_4_2)
% 72.88/10.93    (79)   ~ (all_4_15 = e3)
% 72.88/10.93    (80)  all_8_16 = all_4_20
% 72.88/10.93    (81)   ~ (e4 = e2)
% 72.88/10.93    (82)   ~ (all_4_8 = e0)
% 72.88/10.93    (83)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 72.88/10.93    (84)   ~ (all_4_19 = e0)
% 72.88/10.93    (85)  all_10_22 = all_4_14
% 72.88/10.93    (86)   ~ (all_4_3 = all_4_4)
% 72.88/10.93    (87)  all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 | all_8_19
% 72.88/10.93          = e3
% 72.88/10.93    (88)  all_8_11 = all_4_17
% 72.88/10.93    (89)   ~ (all_4_5 = all_4_15)
% 72.88/10.93    (90)   ~ (all_4_2 = all_4_17)
% 72.88/10.93    (91)  all_6_20 = all_4_4
% 72.88/10.93    (92)   ~ (all_4_1 = all_4_21)
% 72.88/10.93    (93)  all_6_14 = all_4_22
% 72.88/10.93    (94)   ~ (all_4_17 = e3)
% 72.88/10.93    (95)   ~ (e4 = e3)
% 72.88/10.93    (96)  all_6_4 = all_4_20
% 72.88/10.93    (97)  all_8_0 = e3
% 72.88/10.93    (98)  op(e2, e0) = all_4_22
% 72.88/10.93    (99)   ~ (all_4_16 = e4)
% 72.88/10.93    (100)   ~ (all_4_8 = e4)
% 72.88/10.93    (101)  all_8_2 = all_4_1
% 72.88/10.93    (102)  all_8_1 = all_4_5
% 72.88/10.93    (103)  all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23
% 72.88/10.93           = e3
% 72.88/10.93    (104)   ~ (e3 = e2)
% 72.88/10.93    (105)   ~ (all_4_15 = all_4_20)
% 72.88/10.93    (106)  all_6_9 = all_4_21
% 72.88/10.93    (107)  all_8_19 = all_4_23
% 72.88/10.93    (108)   ~ (all_4_16 = e1)
% 72.88/10.93    (109)   ~ (all_4_1 = all_4_3)
% 72.88/10.93    (110)  all_8_7 = all_4_7
% 72.88/10.93    (111)   ~ (all_4_22 = e0)
% 72.88/10.93    (112)   ~ (e1 = e0)
% 72.88/10.93    (113)  all_10_11 = all_4_7
% 72.88/10.93    (114)   ~ (all_4_21 = e0)
% 72.88/10.93    (115)  all_8_0 = e4 | all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 | all_8_16 =
% 72.88/10.93           e4
% 72.88/10.93    (116)  all_6_21 = all_4_9
% 72.88/10.93    (117)   ~ (all_4_14 = all_4_19)
% 72.88/10.93    (118)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 72.88/10.93           all_6_15 = e0
% 72.88/10.93    (119)   ~ (all_4_20 = all_4_21)
% 72.88/10.93    (120)   ~ (all_4_13 = e3)
% 72.88/10.93    (121)   ~ (all_4_9 = e4)
% 72.88/10.93    (122)  op(unit, e0) = e0
% 72.88/10.93    (123)  all_6_15 = all_4_3
% 72.88/10.93    (124)  all_8_12 = all_4_3
% 72.88/10.93    (125)   ~ (all_4_17 = all_4_19)
% 72.88/10.93    (126)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 72.88/10.93           all_6_21 = e0
% 72.88/10.93    (127)   ~ (e2 = e1)
% 72.88/10.93    (128)  all_8_4 = e0
% 72.88/10.93    (129)   ~ (all_4_20 = e0)
% 72.88/10.93    (130)   ~ (all_4_2 = all_4_22)
% 72.88/10.93    (131)  all_6_10 = all_4_2
% 72.88/10.93    (132)   ~ (all_4_5 = e0)
% 72.88/10.93    (133)   ~ (all_4_9 = e0)
% 72.88/10.93    (134)  all_10_7 = e1
% 72.88/10.93    (135)  all_10_20 = all_4_4
% 72.88/10.93    (136)  all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 =
% 72.88/10.93           e3
% 72.88/10.93    (137)  all_8_18 = all_4_22
% 72.88/10.93    (138)  all_10_18 = e0
% 72.88/10.93    (139)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 72.88/10.93           e0
% 72.88/10.93    (140)  all_10_9 = all_4_21
% 72.88/10.93    (141)  all_8_5 = e1
% 72.88/10.93    (142)   ~ (e2 = e0)
% 72.88/10.93    (143)  all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 72.88/10.93           all_6_10 = e0
% 72.88/10.93    (144)   ~ (e4 = e1)
% 72.88/10.93    (145)   ~ (all_4_3 = all_4_8)
% 72.88/10.94    (146)  all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 =
% 72.88/10.94           e2
% 72.88/10.94    (147)  all_10_1 = all_4_5
% 72.88/10.94    (148)  all_10_12 = e3
% 72.88/10.94    (149)  all_8_21 = all_4_9
% 72.88/10.94    (150)  all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 =
% 72.88/10.94           e1
% 72.88/10.94  
% 72.88/10.94  Begin of proof
% 72.88/10.94  | 
% 72.88/10.94  | BETA: splitting (8) gives:
% 72.88/10.94  | 
% 72.88/10.94  | Case 1:
% 72.88/10.94  | | 
% 72.88/10.94  | |   (151)  all_8_2 = e0
% 72.88/10.94  | | 
% 72.88/10.94  | | COMBINE_EQS: (101), (151) imply:
% 72.88/10.94  | |   (152)  all_4_1 = e0
% 72.88/10.94  | | 
% 72.88/10.94  | | SIMP: (152) implies:
% 72.88/10.94  | |   (153)  all_4_1 = e0
% 72.88/10.94  | | 
% 72.88/10.94  | | COMBINE_EQS: (14), (153) imply:
% 72.88/10.94  | |   (154)  all_10_5 = e0
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (78), (153) imply:
% 72.88/10.94  | |   (155)   ~ (all_4_2 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | SIMP: (155) implies:
% 72.88/10.94  | |   (156)   ~ (all_4_2 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (109), (153) imply:
% 72.88/10.94  | |   (157)   ~ (all_4_3 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | SIMP: (157) implies:
% 72.88/10.94  | |   (158)   ~ (all_4_3 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (74), (153) imply:
% 72.88/10.94  | |   (159)   ~ (all_4_4 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | SIMP: (159) implies:
% 72.88/10.94  | |   (160)   ~ (all_4_4 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (63), (153) imply:
% 72.88/10.94  | |   (161)   ~ (all_4_16 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (92), (153) imply:
% 72.88/10.94  | |   (162)   ~ (all_4_21 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (9), (153) imply:
% 72.88/10.94  | |   (163)   ~ (e4 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (75), (153) imply:
% 72.88/10.94  | |   (164)   ~ (e3 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | SIMP: (164) implies:
% 72.88/10.94  | |   (165)   ~ (e3 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | REDUCE: (44), (153) imply:
% 72.88/10.94  | |   (166)   ~ (e1 = e0)
% 72.88/10.94  | | 
% 72.88/10.94  | | BETA: splitting (47) gives:
% 72.88/10.94  | | 
% 72.88/10.94  | | Case 1:
% 72.88/10.94  | | | 
% 72.88/10.94  | | |   (167)  all_8_1 = e0
% 72.88/10.94  | | | 
% 72.88/10.94  | | | REF_CLOSE: (102), (132), (167) are inconsistent by sub-proof #277.
% 72.88/10.94  | | | 
% 72.88/10.94  | | Case 2:
% 72.88/10.94  | | | 
% 72.88/10.94  | | |   (168)   ~ (all_8_1 = e0)
% 72.88/10.94  | | |   (169)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 72.88/10.94  | | | 
% 72.88/10.94  | | | BETA: splitting (169) gives:
% 72.88/10.94  | | | 
% 72.88/10.94  | | | Case 1:
% 72.88/10.94  | | | | 
% 72.88/10.94  | | | |   (170)  all_8_3 = e0
% 72.88/10.94  | | | | 
% 72.88/10.94  | | | | REF_CLOSE: (38), (40), (170) are inconsistent by sub-proof #276.
% 72.88/10.94  | | | | 
% 72.88/10.94  | | | Case 2:
% 72.88/10.94  | | | | 
% 72.88/10.94  | | | |   (171)   ~ (all_8_3 = e0)
% 72.88/10.94  | | | |   (172)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 72.88/10.94  | | | | 
% 72.88/10.94  | | | | BETA: splitting (83) gives:
% 72.88/10.94  | | | | 
% 72.88/10.94  | | | | Case 1:
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | |   (173)  all_6_8 = e3
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | COMBINE_EQS: (39), (173) imply:
% 72.88/10.94  | | | | |   (174)  all_4_16 = e3
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | SIMP: (174) implies:
% 72.88/10.94  | | | | |   (175)  all_4_16 = e3
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | COMBINE_EQS: (62), (175) imply:
% 72.88/10.94  | | | | |   (176)  all_8_10 = e3
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | COMBINE_EQS: (37), (175) imply:
% 72.88/10.94  | | | | |   (177)  all_10_8 = e3
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | REDUCE: (34), (175) imply:
% 72.88/10.94  | | | | |   (178)   ~ (all_4_21 = e3)
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | SIMP: (178) implies:
% 72.88/10.94  | | | | |   (179)   ~ (all_4_21 = e3)
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | REF_CLOSE: (5), (8), (14), (23), (26), (38), (40), (44), (49), (73),
% 72.88/10.94  | | | | |            (75), (81), (101), (104), (112), (127), (134), (140),
% 72.88/10.94  | | | | |            (141), (142), (144), (151), (165), (176), (177), (179) are
% 72.88/10.94  | | | | |            inconsistent by sub-proof #268.
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | Case 2:
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | |   (180)   ~ (all_6_8 = e3)
% 72.88/10.94  | | | | |   (181)  all_6_8 = e4 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | REDUCE: (39), (180) imply:
% 72.88/10.94  | | | | |   (182)   ~ (all_4_16 = e3)
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | BETA: splitting (181) gives:
% 72.88/10.94  | | | | | 
% 72.88/10.94  | | | | | Case 1:
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | |   (183)  all_6_8 = e2
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | COMBINE_EQS: (39), (183) imply:
% 72.88/10.94  | | | | | |   (184)  all_4_16 = e2
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | SIMP: (184) implies:
% 72.88/10.94  | | | | | |   (185)  all_4_16 = e2
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | COMBINE_EQS: (62), (185) imply:
% 72.88/10.94  | | | | | |   (186)  all_8_10 = e2
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | REDUCE: (25), (185) imply:
% 72.88/10.94  | | | | | |   (187)   ~ (all_4_17 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | SIMP: (187) implies:
% 72.88/10.94  | | | | | |   (188)   ~ (all_4_17 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | REDUCE: (10), (185) imply:
% 72.88/10.94  | | | | | |   (189)   ~ (all_4_19 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | SIMP: (189) implies:
% 72.88/10.94  | | | | | |   (190)   ~ (all_4_19 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | REDUCE: (34), (185) imply:
% 72.88/10.94  | | | | | |   (191)   ~ (all_4_21 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | SIMP: (191) implies:
% 72.88/10.94  | | | | | |   (192)   ~ (all_4_21 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | REDUCE: (99), (185) imply:
% 72.88/10.94  | | | | | |   (193)   ~ (e4 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | REDUCE: (182), (185) imply:
% 72.88/10.94  | | | | | |   (194)   ~ (e3 = e2)
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | BETA: splitting (27) gives:
% 72.88/10.94  | | | | | | 
% 72.88/10.94  | | | | | | Case 1:
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | |   (195)  all_6_9 = e3
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | COMBINE_EQS: (106), (195) imply:
% 72.88/10.94  | | | | | | |   (196)  all_4_21 = e3
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | SIMP: (196) implies:
% 72.88/10.94  | | | | | | |   (197)  all_4_21 = e3
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | COMBINE_EQS: (73), (197) imply:
% 72.88/10.94  | | | | | | |   (198)  all_8_17 = e3
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | REDUCE: (119), (197) imply:
% 72.88/10.94  | | | | | | |   (199)   ~ (all_4_20 = e3)
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | REDUCE: (28), (197) imply:
% 72.88/10.94  | | | | | | |   (200)   ~ (all_4_22 = e3)
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | SIMP: (200) implies:
% 72.88/10.94  | | | | | | |   (201)   ~ (all_4_22 = e3)
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | REDUCE: (3), (197) imply:
% 72.88/10.94  | | | | | | |   (202)   ~ (all_4_23 = e3)
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | SIMP: (202) implies:
% 72.88/10.94  | | | | | | |   (203)   ~ (all_4_23 = e3)
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | BETA: splitting (103) gives:
% 72.88/10.94  | | | | | | | 
% 72.88/10.94  | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | 
% 72.88/10.94  | | | | | | | |   (204)  all_8_9 = e3
% 72.88/10.94  | | | | | | | | 
% 72.88/10.94  | | | | | | | | REF_CLOSE: (7), (79), (204) are inconsistent by sub-proof #267.
% 72.88/10.94  | | | | | | | | 
% 72.88/10.94  | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | 
% 72.88/10.94  | | | | | | | |   (205)  all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 72.88/10.94  | | | | | | | |          all_8_23 = e3
% 72.88/10.94  | | | | | | | | 
% 72.88/10.94  | | | | | | | | BETA: splitting (205) gives:
% 72.88/10.94  | | | | | | | | 
% 72.88/10.94  | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | |   (206)  all_8_10 = e3
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | COMBINE_EQS: (186), (206) imply:
% 72.88/10.94  | | | | | | | | |   (207)  e3 = e2
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | REDUCE: (104), (207) imply:
% 72.88/10.94  | | | | | | | | |   (208)  $false
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | CLOSE: (208) is inconsistent.
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | |   (209)  all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | BETA: splitting (209) gives:
% 72.88/10.94  | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | |   (210)  all_8_11 = e3
% 72.88/10.94  | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | REF_CLOSE: (88), (94), (210) are inconsistent by sub-proof
% 72.88/10.94  | | | | | | | | | |            #266.
% 72.88/10.94  | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | |   (211)  all_8_15 = e3 | all_8_23 = e3
% 72.88/10.94  | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | BETA: splitting (211) gives:
% 72.88/10.94  | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | |   (212)  all_8_15 = e3
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | COMBINE_EQS: (53), (212) imply:
% 72.88/10.94  | | | | | | | | | | |   (213)  e3 = e0
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | REDUCE: (165), (213) imply:
% 72.88/10.94  | | | | | | | | | | |   (214)  $false
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | |   (215)  all_8_23 = e3
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | COMBINE_EQS: (68), (215) imply:
% 72.88/10.94  | | | | | | | | | | |   (216)  all_4_19 = e3
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | SIMP: (216) implies:
% 72.88/10.94  | | | | | | | | | | |   (217)  all_4_19 = e3
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | COMBINE_EQS: (54), (217) imply:
% 72.88/10.94  | | | | | | | | | | |   (218)  all_10_23 = e3
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | REDUCE: (11), (217) imply:
% 72.88/10.94  | | | | | | | | | | |   (219)   ~ (all_4_4 = e3)
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | REDUCE: (117), (217) imply:
% 72.88/10.94  | | | | | | | | | | |   (220)   ~ (all_4_14 = e3)
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | BETA: splitting (87) gives:
% 72.88/10.94  | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | |   (221)  all_8_12 = e3
% 72.88/10.94  | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | REF_CLOSE: (58), (124), (221) are inconsistent by sub-proof
% 72.88/10.94  | | | | | | | | | | | |            #265.
% 72.88/10.94  | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | |   (222)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 72.88/10.94  | | | | | | | | | | | |          all_8_19 = e3
% 72.88/10.94  | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | BETA: splitting (222) gives:
% 72.88/10.94  | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | |   (223)  all_8_13 = e3
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | COMBINE_EQS: (22), (223) imply:
% 72.88/10.94  | | | | | | | | | | | | |   (224)  all_4_8 = e3
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | REDUCE: (59), (224) imply:
% 72.88/10.94  | | | | | | | | | | | | |   (225)   ~ (all_4_5 = e3)
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | REDUCE: (51), (224) imply:
% 72.88/10.94  | | | | | | | | | | | | |   (226)   ~ (all_4_9 = e3)
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | SIMP: (226) implies:
% 72.88/10.94  | | | | | | | | | | | | |   (227)   ~ (all_4_9 = e3)
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | REDUCE: (100), (224) imply:
% 72.88/10.94  | | | | | | | | | | | | |   (228)   ~ (e4 = e3)
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | BETA: splitting (43) gives:
% 72.88/10.94  | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | |   (229)  all_6_13 = e3
% 72.88/10.94  | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | REF_CLOSE: (50), (94), (229) are inconsistent by sub-proof
% 72.88/10.94  | | | | | | | | | | | | | |            #264.
% 72.88/10.94  | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | |   (230)   ~ (all_6_13 = e3)
% 72.88/10.94  | | | | | | | | | | | | | |   (231)  all_6_13 = e4 | all_6_13 = e2 | all_6_13 = e1 |
% 72.88/10.94  | | | | | | | | | | | | | |          all_6_13 = e0
% 72.88/10.94  | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | BETA: splitting (139) gives:
% 72.88/10.94  | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | |   (232)  all_6_1 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | REF_CLOSE: (35), (225), (232) are inconsistent by sub-proof
% 72.88/10.94  | | | | | | | | | | | | | | |            #263.
% 72.88/10.94  | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | |   (233)   ~ (all_6_1 = e3)
% 72.88/10.94  | | | | | | | | | | | | | | |   (234)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 |
% 72.88/10.94  | | | | | | | | | | | | | | |          all_6_1 = e0
% 72.88/10.94  | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 72.88/10.94  | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | |   (235)  all_6_21 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (235) imply:
% 72.88/10.94  | | | | | | | | | | | | | | | |   (236)  all_4_9 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | REDUCE: (227), (236) imply:
% 72.88/10.94  | | | | | | | | | | | | | | | |   (237)  $false
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | CLOSE: (237) is inconsistent.
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | |   (238)  all_6_21 = e4 | all_6_21 = e2 | all_6_21 = e1 |
% 72.88/10.94  | | | | | | | | | | | | | | | |          all_6_21 = e0
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 72.88/10.94  | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | |   (239)  unit = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (67), (71), (127), (239) are inconsistent by
% 72.88/10.94  | | | | | | | | | | | | | | | | |            sub-proof #262.
% 72.88/10.94  | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | |   (240)  unit = e4 | unit = e2 | unit = e1 | unit = e0
% 72.88/10.94  | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 72.88/10.94  | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | |   (241)  all_6_15 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (123), (241) imply:
% 72.88/10.94  | | | | | | | | | | | | | | | | | |   (242)  all_4_3 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | REDUCE: (58), (242) imply:
% 72.88/10.94  | | | | | | | | | | | | | | | | | |   (243)  $false
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | CLOSE: (243) is inconsistent.
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | |   (244)  all_6_15 = e4 | all_6_15 = e2 | all_6_15 = e1 |
% 72.88/10.94  | | | | | | | | | | | | | | | | | |          all_6_15 = e0
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | |   (245)  all_6_20 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (91), (219), (245) are inconsistent by sub-proof
% 72.88/10.94  | | | | | | | | | | | | | | | | | | |            #261.
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | |   (246)  all_6_20 = e4 | all_6_20 = e2 | all_6_20 = e1 |
% 72.88/10.94  | | | | | | | | | | | | | | | | | | |          all_6_20 = e0
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | Case 1:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |   (247)  all_8_0 = e4
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (97), (247) imply:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |   (248)  e4 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | SIMP: (248) implies:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |   (249)  e4 = e3
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (249) imply:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |   (250)  $false
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | CLOSE: (250) is inconsistent.
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | Case 2:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |   (251)   ~ (all_8_0 = e4)
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |   (252)  all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 |
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | |          all_8_16 = e4
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | 
% 72.88/10.94  | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | |   (253)  all_8_9 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (253) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | |   (254)  all_4_15 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | SIMP: (254) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | |   (255)  all_4_15 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (255) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | |   (256)   ~ (all_4_5 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (255) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | |   (257)   ~ (all_4_20 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | SIMP: (257) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | |   (258)   ~ (all_4_20 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | |   (259)  all_8_1 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (36), (102), (259) are inconsistent by sub-proof
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | |            #260.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | |   (260)  all_8_4 = e4 | all_8_9 = e4 | all_8_16 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (260) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | |   (261)  all_8_4 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (128), (261) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | |   (262)  e4 = e0
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (262) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | |   (263)  $false
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (263) is inconsistent.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | |   (264)   ~ (all_8_4 = e4)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | |   (265)  all_8_9 = e4 | all_8_16 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |   (266)  all_8_1 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (266) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |   (267)  all_4_5 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (267) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |   (268)  all_4_5 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (268) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |   (269)  $false
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |   (270)   ~ (all_8_1 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |   (271)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | |          all_8_21 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (272)  all_8_3 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (40), (144), (272) are inconsistent by sub-proof
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | |            #259.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (273)   ~ (all_8_3 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | |   (274)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (275)  all_8_7 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (40), (112), (133), (149), (165), (169),
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | |            (223), (275) are inconsistent by sub-proof #257.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | |   (276)  all_8_13 = e1 | all_8_21 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (277)  all_8_9 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (277) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (278)  e4 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (278) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (279)  $false
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (279) is inconsistent.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (280)  all_8_16 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (280) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (281)  all_4_20 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (281) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (282)  all_4_20 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (283)  all_8_0 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (97), (104), (283) are inconsistent by sub-proof
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #256.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (284)  all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_16 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (285)  all_8_1 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (285) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (286)  all_4_5 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (286) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (287)  all_4_5 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (147), (287) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (288)  all_10_1 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (287) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (289)   ~ (all_4_9 = e2)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (289) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (290)   ~ (all_4_9 = e2)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (291)  all_8_9 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (253), (291) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (292)  e4 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (292) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (293)  $false
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (293) is inconsistent.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (294)  all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_23 = e4
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (295)  all_6_21 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (295) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (296)  all_4_9 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (296) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (297)  all_4_9 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (290), (297) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (298)  $false
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (298) is inconsistent.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (299)   ~ (all_6_21 = e2)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (300)  all_6_21 = e4 | all_6_21 = e1 | all_6_21 = e0
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (301)  all_6_21 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (301) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (302)  all_4_9 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (302) implies:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (303)  all_4_9 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (303) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (304)  all_8_21 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (303) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (305)  all_10_21 = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (303) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (306)   ~ (e4 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (290), (303) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (307)   ~ (e2 = e1)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (303) imply:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (308)  op(e0, e3) = e1
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (309)  all_6_13 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (188), (309) are inconsistent by sub-proof
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #255.
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (310)   ~ (all_6_13 = e2)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (311)  all_6_13 = e4 | all_6_13 = e1 | all_6_13 = e0
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (312)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.94  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (38), (40), (48), (82), (110), (112),
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (142), (148), (149), (154), (165), (169),
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (312) are inconsistent by sub-proof #252.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (313)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (314)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (314) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (315)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (165), (288), (315) are inconsistent by
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #251.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (316)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (317)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (317) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (318)   ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (319)   ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (320)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (321)  all_8_10 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (321) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (322)  e4 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (322) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (323)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (325)   ~ (all_10_21 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (305), (325) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (326)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (326) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (327)  all_10_23 = e3 &  ~ (unit = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (327) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (328)   ~ (unit = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_6_13 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (329) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (330)  all_4_17 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (330) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  all_4_17 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (331) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  all_8_11 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (53), (95), (144), (215), (324), (332) are
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  all_6_13 = e4 | all_6_13 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  all_6_13 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (50), (334) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  all_4_17 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (335) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (336)  all_4_17 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (336) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (337)  all_8_11 = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (336) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (338)   ~ (all_4_2 = e4)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (339)   ~ (all_10_15 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (339) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (340)   ~ (all_4_3 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_6_14 = e3
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (201), (341) are inconsistent by sub-proof
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #248.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_6_14 = e4 | all_6_14 = e2 | all_6_14 = e1 |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_14 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (52) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (343)  all_8_6 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1), (343) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_4_2 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (344) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (345)   ~ (all_4_22 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (345) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (346)   ~ (all_4_22 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (344) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (347)   ~ (e3 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (344) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  op(e2, e4) = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_8_16 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (280), (349) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  e4 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (350) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  e4 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (337), (351) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (352)  all_8_11 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (53), (95), (144), (215), (324), (352) are
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (353)  all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_24 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (354)  all_8_17 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (198), (354) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (355)  e3 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (355) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (356)  e3 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (356) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (357)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (357) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (358)   ~ (all_8_17 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (359)  all_8_18 = e1 | all_8_19 = e1 | all_8_24 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (359) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (360)  all_8_18 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (137), (360) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (361)  all_4_22 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (361) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (362)  all_4_22 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (346), (362) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (363)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (363) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (364)  all_8_19 = e1 | all_8_24 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (365)  all_8_19 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (365) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (366)  all_4_23 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (366) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (367)  all_4_23 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (368)  all_6_14 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (93), (368) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (369)  all_4_22 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (369) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (370)  all_4_22 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (370) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (371)  op(e2, e0) = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (372)  unit = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (372) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (373)  op(e2, e0) = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (142), (371), (373) are inconsistent by
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #247.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (374)  unit = e4 | unit = e1 | unit = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (375)  unit = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (328), (375) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (376)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (376) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (377)  unit = e4 | unit = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (378)  unit = e4
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (60), (127), (348), (378) are inconsistent by
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #246.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (379)  unit = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (379) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (380)  op(e0, e3) = e3
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (60) with e1, e3, e3, e0,
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              simplifying with (308), (380) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  e3 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (381) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (382) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (383)   ~ (all_6_14 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (383) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (384)   ~ (all_4_22 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_8_16 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (81), (280), (385) are inconsistent by sub-proof
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #245.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_24 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  all_8_17 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (104), (198), (387) are inconsistent by sub-proof
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #244.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  all_8_18 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (137), (384), (389) are inconsistent by sub-proof
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #243.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  all_8_19 = e2 | all_8_24 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  all_8_19 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (365), (391) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)  e2 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (392) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (393) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  all_8_24 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (394) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)  e2 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (395) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (396) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)  all_8_24 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (397) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)  e1 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (398) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  e1 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (304), (399) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_8_21 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (112), (223), (276), (400) are inconsistent
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #241.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)   ~ (all_8_6 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1), (401) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)   ~ (all_4_2 = e1)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_6_10 = e3
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (69), (131), (403) are inconsistent by sub-proof
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #240.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  all_6_10 = e4 | all_6_10 = e2 | all_6_10 = e1 |
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_10 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_6_10 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (131), (405) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_4_2 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (406) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_4_2 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (407) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)   ~ (all_4_3 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (408) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)   ~ (all_4_3 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (407) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)   ~ (all_4_4 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (410) implies:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)   ~ (all_4_4 = e2)
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  all_6_20 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (412) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  all_4_4 = e2
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (413) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  $false
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (414) is inconsistent.
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)  all_6_20 = e4 | all_6_20 = e1 | all_6_20 = e0
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (415) gives:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)  all_6_20 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (416) imply:
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_4_4 = e1
% 73.20/10.95  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (135), (417) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (418)  all_10_20 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (218), (319), (418) are inconsistent by
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #239.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (419)  all_6_20 = e4 | all_6_20 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (419) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_6_20 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (420) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_4_4 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (421) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (422)   ~ (all_4_3 = e4)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (123), (158), (244), (340), (409), (422) are
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #237.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (423)  all_6_20 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (423) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (424)  all_4_4 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (160), (424) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (425)  $false
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (425) is inconsistent.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (426)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (131), (156), (338), (402), (426) are inconsistent
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #235.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (427)  all_10_15 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (138), (320), (427) are inconsistent by
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #234.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (428)  all_6_13 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (50), (66), (428) are inconsistent by sub-proof
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #233.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (429)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (429) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (430)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (110), (113), (133), (149), (165), (172),
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (223), (430) are inconsistent by sub-proof
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #231.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (431)  all_6_21 = e4 | all_6_21 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (116), (121), (133), (431) are inconsistent by
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #230.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (432)   ~ (all_8_1 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (432) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (433)   ~ (all_4_5 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (132), (234), (256), (433) are
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #226.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | |   (434)  all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | |          all_8_23 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (434) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | |   (435)  all_8_10 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (127), (186), (435) are inconsistent by sub-proof
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | |            #225.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | |   (436)  all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (436) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | |   (437)  all_8_11 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (437) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | |   (438)  all_4_17 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (438) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | |   (439)  all_4_17 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | |   (440)  all_8_9 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (440) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | |   (441)  all_4_15 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (441) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | |   (442)  all_4_15 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (30), (442) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | |   (443)  all_10_3 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (442) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | |   (444)   ~ (all_4_20 = e4)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (444) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | |   (445)   ~ (all_4_20 = e4)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (446)  all_6_4 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (199), (446) are inconsistent by sub-proof
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | |            #224.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | |   (447)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_4 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (150) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (448)  all_8_1 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (448) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (449)  all_4_5 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (147), (449) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (450)  all_10_1 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (449) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (451)   ~ (all_4_9 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (451) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (452)   ~ (all_4_9 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (453)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (38), (40), (48), (82), (110), (112),
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (142), (148), (149), (154), (165), (169),
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (453) are inconsistent by sub-proof #252.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (454)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (454) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (455)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (455) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (456)   ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (457)  all_6_21 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (457) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (458)  all_4_9 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (48), (458) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (459)  all_10_21 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (456) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (460)   ~ (all_10_21 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (459), (460) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (461)  $false
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (461) is inconsistent.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (462)  all_10_22 = e3 &  ~ (unit = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (220), (462) are inconsistent by sub-proof
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #223.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (463)  all_6_21 = e4 | all_6_21 = e1 | all_6_21 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (116), (121), (133), (452), (463) are inconsistent
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #222.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (464)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (464) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (465)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (465) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (466)   ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (95), (443), (450), (466) are inconsistent by
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #221.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (467)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (467) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (468)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (38), (40), (47), (110), (112), (113),
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (133), (149), (165), (201), (223), (448), (468)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #218.
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (469)   ~ (all_8_1 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (469) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | |   (470)   ~ (all_4_5 = e1)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (471)  all_6_1 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (35), (471) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (472)  all_4_5 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (147), (472) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (473)  all_10_1 = e2
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (472) imply:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (474)   ~ (all_4_20 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (474) implies:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (475)   ~ (all_4_20 = e2)
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.96  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (476)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e4) | (all_10_0 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_2 = e4) | (all_10_0 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e1 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_9 = e3) | (all_10_6 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (22), (38), (40), (48), (82), (110), (112),
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (113), (142), (148), (149), (154), (165), (169),
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (218), (476) are inconsistent by sub-proof #252.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (477)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) | (all_10_2 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_3 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_7 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_7 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_13 = e2) | (all_10_12 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_16 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (477) gives:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (478)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) | (all_10_2 = e3
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_4 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_6 = e2) | (all_10_7 = e3
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) |  ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_11 = e2) | (all_10_12 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e1 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_19 = e2) | (all_10_17 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_20 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0 &  ~ (unit = e2)))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (478) implies:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (479)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (165), (473), (479) are inconsistent by
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #251.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (480)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_8 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_15 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_20 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_22 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1)))) | (( ~ (all_10_0 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_2 = e0) | (all_10_4 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_9 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0)) & ( ~ (all_10_10 = e0) | (all_10_14 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_13 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_21 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_23 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (480) gives:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (481)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_3 = e3
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 & 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_12 = e1) | (all_10_13 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_16 = e1) | (all_10_18 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e1) |  ~ (unit = e1)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_23 = e1) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1)))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (481) implies:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (482)   ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (482) gives:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (483)   ~ (all_10_4 = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (483) imply:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (484)   ~ (all_4_20 = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (129), (445), (447), (475), (484) are
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #215.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (485)  all_10_3 = e0 &  ~ (unit = e1)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (443), (485) are inconsistent by sub-proof
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #214.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (486)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_4 = e3
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 & 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e0)) & ( ~ (all_10_10 = e0) | (all_10_14
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_13 = e0) | (all_10_14 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_14 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e4 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_17 = e0) | (all_10_19 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e1 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) |  ~ (unit = e0)) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_21 = e0) | (all_10_24 =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_22 = e0) |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_24 = e0) |  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (487)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit =
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (110), (113), (133), (149), (165), (172),
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (201), (223), (487) are inconsistent by sub-proof
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #231.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (488)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (36), (132), (470), (488) are inconsistent
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #227.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | |   (489)  all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | |          all_8_23 = e4
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (489) gives:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (490)  all_8_10 = e4
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (186), (490) imply:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (491)  e4 = e2
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (491) imply:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (492)  $false
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (492) is inconsistent.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | |   (493)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (38), (53), (95), (144), (215), (437), (493) are
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #249.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | |   (494)  all_8_15 = e1 | all_8_23 = e1
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (53), (112), (215), (494) are inconsistent
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #213.
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | |   (495)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 73.20/10.97  | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | | REF_CLOSE: (16), (53), (107), (120), (165), (203), (495) are
% 73.20/10.97  | | | | | | | | | | | | |            inconsistent by sub-proof #211.
% 73.20/10.97  | | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | | 
% 73.20/10.97  | | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | | 
% 73.20/10.97  | | | | | | | | End of split
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | End of split
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | Case 2:
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | |   (496)   ~ (all_6_9 = e3)
% 73.20/10.97  | | | | | | |   (497)  all_6_9 = e4 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | | REDUCE: (106), (496) imply:
% 73.20/10.97  | | | | | | |   (498)   ~ (all_4_21 = e3)
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | | BETA: splitting (136) gives:
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | | Case 1:
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | |   (499)  all_8_2 = e3
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | COMBINE_EQS: (151), (499) imply:
% 73.20/10.97  | | | | | | | |   (500)  e3 = e0
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | REDUCE: (165), (500) imply:
% 73.20/10.97  | | | | | | | |   (501)  $false
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | CLOSE: (501) is inconsistent.
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | |   (502)  all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17
% 73.20/10.97  | | | | | | | |          = e3
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | REF_CLOSE: (12), (23), (31), (40), (73), (95), (104), (106),
% 73.20/10.97  | | | | | | | |            (141), (186), (192), (497), (498), (502) are
% 73.20/10.97  | | | | | | | |            inconsistent by sub-proof #209.
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | End of split
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | End of split
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | Case 2:
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | |   (503)  all_6_8 = e4 | all_6_8 = e1 | all_6_8 = e0
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | REF_CLOSE: (39), (55), (99), (108), (503) are inconsistent by
% 73.20/10.97  | | | | | |            sub-proof #208.
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | End of split
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | End of split
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | End of split
% 73.20/10.97  | | | 
% 73.20/10.97  | | End of split
% 73.20/10.97  | | 
% 73.20/10.97  | Case 2:
% 73.20/10.97  | | 
% 73.20/10.97  | |   (504)   ~ (all_8_2 = e0)
% 73.20/10.97  | |   (505)  all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 73.20/10.97  | | 
% 73.20/10.97  | | REDUCE: (101), (504) imply:
% 73.20/10.97  | |   (506)   ~ (all_4_1 = e0)
% 73.20/10.97  | | 
% 73.20/10.97  | | BETA: splitting (505) gives:
% 73.20/10.97  | | 
% 73.20/10.97  | | Case 1:
% 73.20/10.97  | | | 
% 73.20/10.97  | | |   (507)  all_8_3 = e0
% 73.20/10.97  | | | 
% 73.20/10.97  | | | REF_CLOSE: (38), (40), (507) are inconsistent by sub-proof #276.
% 73.20/10.97  | | | 
% 73.20/10.97  | | Case 2:
% 73.20/10.97  | | | 
% 73.20/10.97  | | |   (508)  all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 73.20/10.97  | | | 
% 73.20/10.97  | | | BETA: splitting (21) gives:
% 73.20/10.97  | | | 
% 73.20/10.97  | | | Case 1:
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | |   (509)  all_6_5 = e3
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | | REF_CLOSE: (64), (75), (509) are inconsistent by sub-proof #207.
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | Case 2:
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | |   (510)  all_6_5 = e4 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | | BETA: splitting (510) gives:
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | | Case 1:
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | |   (511)  all_6_5 = e2
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | COMBINE_EQS: (64), (511) imply:
% 73.20/10.97  | | | | |   (512)  all_4_1 = e2
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | SIMP: (512) implies:
% 73.20/10.97  | | | | |   (513)  all_4_1 = e2
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | REDUCE: (63), (513) imply:
% 73.20/10.97  | | | | |   (514)   ~ (all_4_16 = e2)
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | SIMP: (514) implies:
% 73.20/10.97  | | | | |   (515)   ~ (all_4_16 = e2)
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | BETA: splitting (83) gives:
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | Case 1:
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | |   (516)  all_6_8 = e3
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | COMBINE_EQS: (39), (516) imply:
% 73.20/10.97  | | | | | |   (517)  all_4_16 = e3
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | SIMP: (517) implies:
% 73.20/10.97  | | | | | |   (518)  all_4_16 = e3
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | COMBINE_EQS: (62), (518) imply:
% 73.20/10.97  | | | | | |   (519)  all_8_10 = e3
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | REDUCE: (55), (518) imply:
% 73.20/10.97  | | | | | |   (520)   ~ (e3 = e0)
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | BETA: splitting (508) gives:
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | Case 1:
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | |   (521)  all_8_5 = e0
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | | REF_CLOSE: (112), (141), (521) are inconsistent by sub-proof #271.
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | Case 2:
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | |   (522)  all_8_10 = e0 | all_8_17 = e0
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | | BETA: splitting (522) gives:
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | | Case 1:
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | |   (523)  all_8_10 = e0
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | COMBINE_EQS: (519), (523) imply:
% 73.20/10.97  | | | | | | | |   (524)  e3 = e0
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | REDUCE: (520), (524) imply:
% 73.20/10.97  | | | | | | | |   (525)  $false
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | CLOSE: (525) is inconsistent.
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | Case 2:
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | |   (526)  all_8_17 = e0
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | COMBINE_EQS: (73), (526) imply:
% 73.20/10.97  | | | | | | | |   (527)  all_4_21 = e0
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | SIMP: (527) implies:
% 73.20/10.97  | | | | | | | |   (528)  all_4_21 = e0
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | REDUCE: (114), (528) imply:
% 73.20/10.97  | | | | | | | |   (529)  $false
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | | CLOSE: (529) is inconsistent.
% 73.20/10.97  | | | | | | | | 
% 73.20/10.97  | | | | | | | End of split
% 73.20/10.97  | | | | | | | 
% 73.20/10.97  | | | | | | End of split
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | Case 2:
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | |   (530)  all_6_8 = e4 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | | REF_CLOSE: (39), (55), (99), (108), (515), (530) are inconsistent by
% 73.20/10.97  | | | | | |            sub-proof #206.
% 73.20/10.97  | | | | | | 
% 73.20/10.97  | | | | | End of split
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | Case 2:
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | |   (531)  all_6_5 = e4 | all_6_5 = e1 | all_6_5 = e0
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | | REF_CLOSE: (9), (44), (64), (506), (531) are inconsistent by sub-proof
% 73.20/10.97  | | | | |            #205.
% 73.20/10.97  | | | | | 
% 73.20/10.97  | | | | End of split
% 73.20/10.97  | | | | 
% 73.20/10.97  | | | End of split
% 73.20/10.97  | | | 
% 73.20/10.97  | | End of split
% 73.20/10.97  | | 
% 73.20/10.97  | End of split
% 73.20/10.97  | 
% 73.20/10.97  End of proof
% 73.20/10.97  
% 73.20/10.97  Sub-proof #205 shows that the following formulas are inconsistent:
% 73.20/10.97  ----------------------------------------------------------------
% 73.20/10.97    (1)   ~ (all_4_1 = e4)
% 73.20/10.97    (2)  all_6_5 = e4 | all_6_5 = e1 | all_6_5 = e0
% 73.20/10.97    (3)   ~ (all_4_1 = e1)
% 73.20/10.97    (4)  all_6_5 = all_4_1
% 73.20/10.97    (5)   ~ (all_4_1 = e0)
% 73.20/10.97  
% 73.20/10.97  Begin of proof
% 73.20/10.97  | 
% 73.20/10.97  | BETA: splitting (2) gives:
% 73.20/10.97  | 
% 73.20/10.97  | Case 1:
% 73.20/10.97  | | 
% 73.20/10.97  | |   (6)  all_6_5 = e1
% 73.20/10.97  | | 
% 73.20/10.97  | | COMBINE_EQS: (4), (6) imply:
% 73.20/10.97  | |   (7)  all_4_1 = e1
% 73.20/10.97  | | 
% 73.20/10.97  | | SIMP: (7) implies:
% 73.20/10.97  | |   (8)  all_4_1 = e1
% 73.20/10.97  | | 
% 73.20/10.97  | | REDUCE: (3), (8) imply:
% 73.20/10.97  | |   (9)  $false
% 73.20/10.97  | | 
% 73.20/10.97  | | CLOSE: (9) is inconsistent.
% 73.20/10.97  | | 
% 73.20/10.97  | Case 2:
% 73.20/10.97  | | 
% 73.20/10.97  | |   (10)  all_6_5 = e4 | all_6_5 = e0
% 73.20/10.97  | | 
% 73.20/10.97  | | BETA: splitting (10) gives:
% 73.20/10.97  | | 
% 73.20/10.97  | | Case 1:
% 73.20/10.97  | | | 
% 73.20/10.97  | | |   (11)  all_6_5 = e4
% 73.20/10.97  | | | 
% 73.20/10.97  | | | COMBINE_EQS: (4), (11) imply:
% 73.20/10.97  | | |   (12)  all_4_1 = e4
% 73.20/10.97  | | | 
% 73.20/10.97  | | | SIMP: (12) implies:
% 73.20/10.97  | | |   (13)  all_4_1 = e4
% 73.20/10.97  | | | 
% 73.20/10.97  | | | REDUCE: (1), (13) imply:
% 73.20/10.97  | | |   (14)  $false
% 73.20/10.97  | | | 
% 73.20/10.97  | | | CLOSE: (14) is inconsistent.
% 73.20/10.97  | | | 
% 73.20/10.97  | | Case 2:
% 73.20/10.97  | | | 
% 73.20/10.97  | | |   (15)  all_6_5 = e0
% 73.20/10.97  | | | 
% 73.20/10.97  | | | COMBINE_EQS: (4), (15) imply:
% 73.20/10.97  | | |   (16)  all_4_1 = e0
% 73.20/10.97  | | | 
% 73.20/10.97  | | | SIMP: (16) implies:
% 73.20/10.97  | | |   (17)  all_4_1 = e0
% 73.20/10.97  | | | 
% 73.20/10.97  | | | REDUCE: (5), (17) imply:
% 73.20/10.97  | | |   (18)  $false
% 73.20/10.97  | | | 
% 73.20/10.97  | | | CLOSE: (18) is inconsistent.
% 73.20/10.97  | | | 
% 73.20/10.97  | | End of split
% 73.20/10.97  | | 
% 73.20/10.97  | End of split
% 73.20/10.97  | 
% 73.20/10.97  End of proof
% 73.20/10.97  
% 73.20/10.97  Sub-proof #206 shows that the following formulas are inconsistent:
% 73.20/10.97  ----------------------------------------------------------------
% 73.20/10.97    (1)  all_6_8 = e4 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 73.20/10.97    (2)  all_6_8 = all_4_16
% 73.20/10.97    (3)   ~ (all_4_16 = e0)
% 73.20/10.97    (4)   ~ (all_4_16 = e2)
% 73.20/10.97    (5)   ~ (all_4_16 = e4)
% 73.20/10.97    (6)   ~ (all_4_16 = e1)
% 73.20/10.97  
% 73.20/10.97  Begin of proof
% 73.20/10.97  | 
% 73.20/10.97  | BETA: splitting (1) gives:
% 73.20/10.97  | 
% 73.20/10.97  | Case 1:
% 73.20/10.97  | | 
% 73.20/10.97  | |   (7)  all_6_8 = e2
% 73.20/10.97  | | 
% 73.20/10.97  | | COMBINE_EQS: (2), (7) imply:
% 73.20/10.97  | |   (8)  all_4_16 = e2
% 73.20/10.97  | | 
% 73.20/10.97  | | SIMP: (8) implies:
% 73.20/10.97  | |   (9)  all_4_16 = e2
% 73.20/10.97  | | 
% 73.20/10.97  | | REDUCE: (4), (9) imply:
% 73.20/10.97  | |   (10)  $false
% 73.20/10.97  | | 
% 73.20/10.97  | | CLOSE: (10) is inconsistent.
% 73.20/10.97  | | 
% 73.20/10.97  | Case 2:
% 73.20/10.97  | | 
% 73.20/10.97  | |   (11)  all_6_8 = e4 | all_6_8 = e1 | all_6_8 = e0
% 73.20/10.97  | | 
% 73.20/10.98  | | REF_CLOSE: (2), (3), (5), (6), (11) are inconsistent by sub-proof #208.
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #207 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_6_5 = all_4_1
% 73.20/10.98    (2)  all_6_5 = e3
% 73.20/10.98    (3)   ~ (all_4_1 = e3)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.20/10.98  |   (4)  all_4_1 = e3
% 73.20/10.98  | 
% 73.20/10.98  | SIMP: (4) implies:
% 73.20/10.98  |   (5)  all_4_1 = e3
% 73.20/10.98  | 
% 73.20/10.98  | REDUCE: (3), (5) imply:
% 73.20/10.98  |   (6)  $false
% 73.20/10.98  | 
% 73.20/10.98  | CLOSE: (6) is inconsistent.
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #208 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_6_8 = e4 | all_6_8 = e1 | all_6_8 = e0
% 73.20/10.98    (2)  all_6_8 = all_4_16
% 73.20/10.98    (3)   ~ (all_4_16 = e0)
% 73.20/10.98    (4)   ~ (all_4_16 = e4)
% 73.20/10.98    (5)   ~ (all_4_16 = e1)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (1) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (6)  all_6_8 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | COMBINE_EQS: (2), (6) imply:
% 73.20/10.98  | |   (7)  all_4_16 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | SIMP: (7) implies:
% 73.20/10.98  | |   (8)  all_4_16 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | REDUCE: (5), (8) imply:
% 73.20/10.98  | |   (9)  $false
% 73.20/10.98  | | 
% 73.20/10.98  | | CLOSE: (9) is inconsistent.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (10)  all_6_8 = e4 | all_6_8 = e0
% 73.20/10.98  | | 
% 73.20/10.98  | | BETA: splitting (10) gives:
% 73.20/10.98  | | 
% 73.20/10.98  | | Case 1:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (11)  all_6_8 = e4
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (2), (11) imply:
% 73.20/10.98  | | |   (12)  all_4_16 = e4
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (12) implies:
% 73.20/10.98  | | |   (13)  all_4_16 = e4
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (4), (13) imply:
% 73.20/10.98  | | |   (14)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (14) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | Case 2:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (15)  all_6_8 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (2), (15) imply:
% 73.20/10.98  | | |   (16)  all_4_16 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (16) implies:
% 73.20/10.98  | | |   (17)  all_4_16 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (3), (17) imply:
% 73.20/10.98  | | |   (18)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (18) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | End of split
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #209 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)   ~ (e3 = e1)
% 73.20/10.98    (2)   ~ (all_4_21 = e4)
% 73.20/10.98    (3)   ~ (all_4_21 = e1)
% 73.20/10.98    (4)  all_8_10 = e2
% 73.20/10.98    (5)  all_8_3 = e4
% 73.20/10.98    (6)  all_6_9 = e4 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0
% 73.20/10.98    (7)  all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3
% 73.20/10.98    (8)  all_8_17 = all_4_21
% 73.20/10.98    (9)   ~ (e4 = e3)
% 73.20/10.98    (10)   ~ (all_4_21 = e2)
% 73.20/10.98    (11)   ~ (e3 = e2)
% 73.20/10.98    (12)  all_6_9 = all_4_21
% 73.20/10.98    (13)   ~ (all_4_21 = e3)
% 73.20/10.98    (14)  all_8_5 = e1
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (6) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (15)  all_6_9 = e2
% 73.20/10.98  | | 
% 73.20/10.98  | | COMBINE_EQS: (12), (15) imply:
% 73.20/10.98  | |   (16)  all_4_21 = e2
% 73.20/10.98  | | 
% 73.20/10.98  | | SIMP: (16) implies:
% 73.20/10.98  | |   (17)  all_4_21 = e2
% 73.20/10.98  | | 
% 73.20/10.98  | | REDUCE: (10), (17) imply:
% 73.20/10.98  | |   (18)  $false
% 73.20/10.98  | | 
% 73.20/10.98  | | CLOSE: (18) is inconsistent.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (19)  all_6_9 = e4 | all_6_9 = e1 | all_6_9 = e0
% 73.20/10.98  | | 
% 73.20/10.98  | | BETA: splitting (19) gives:
% 73.20/10.98  | | 
% 73.20/10.98  | | Case 1:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (20)  all_6_9 = e1
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (12), (20) imply:
% 73.20/10.98  | | |   (21)  all_4_21 = e1
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (21) implies:
% 73.20/10.98  | | |   (22)  all_4_21 = e1
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (3), (22) imply:
% 73.20/10.98  | | |   (23)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (23) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | Case 2:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (24)  all_6_9 = e4 | all_6_9 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | BETA: splitting (24) gives:
% 73.20/10.98  | | | 
% 73.20/10.98  | | | Case 1:
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | |   (25)  all_6_9 = e4
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | COMBINE_EQS: (12), (25) imply:
% 73.20/10.98  | | | |   (26)  all_4_21 = e4
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | SIMP: (26) implies:
% 73.20/10.98  | | | |   (27)  all_4_21 = e4
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | REDUCE: (2), (27) imply:
% 73.20/10.98  | | | |   (28)  $false
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | CLOSE: (28) is inconsistent.
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | Case 2:
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | |   (29)  all_6_9 = e0
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | COMBINE_EQS: (12), (29) imply:
% 73.20/10.98  | | | |   (30)  all_4_21 = e0
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | SIMP: (30) implies:
% 73.20/10.98  | | | |   (31)  all_4_21 = e0
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | COMBINE_EQS: (8), (31) imply:
% 73.20/10.98  | | | |   (32)  all_8_17 = e0
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | REDUCE: (13), (31) imply:
% 73.20/10.98  | | | |   (33)   ~ (e3 = e0)
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | SIMP: (33) implies:
% 73.20/10.98  | | | |   (34)   ~ (e3 = e0)
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | BETA: splitting (7) gives:
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | | Case 1:
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | |   (35)  all_8_3 = e3
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | | REF_CLOSE: (5), (9), (35) are inconsistent by sub-proof #210.
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | Case 2:
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | |   (36)  all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | | BETA: splitting (36) gives:
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | | Case 1:
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | |   (37)  all_8_5 = e3
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | | COMBINE_EQS: (14), (37) imply:
% 73.20/10.98  | | | | | |   (38)  e3 = e1
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | | REDUCE: (1), (38) imply:
% 73.20/10.98  | | | | | |   (39)  $false
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | | CLOSE: (39) is inconsistent.
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | Case 2:
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | |   (40)  all_8_10 = e3 | all_8_17 = e3
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | | BETA: splitting (40) gives:
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | | Case 1:
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | |   (41)  all_8_10 = e3
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | | COMBINE_EQS: (4), (41) imply:
% 73.20/10.98  | | | | | | |   (42)  e3 = e2
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | | REDUCE: (11), (42) imply:
% 73.20/10.98  | | | | | | |   (43)  $false
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | | CLOSE: (43) is inconsistent.
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | Case 2:
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | |   (44)  all_8_17 = e3
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | | COMBINE_EQS: (32), (44) imply:
% 73.20/10.98  | | | | | | |   (45)  e3 = e0
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | | REDUCE: (34), (45) imply:
% 73.20/10.98  | | | | | | |   (46)  $false
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | | CLOSE: (46) is inconsistent.
% 73.20/10.98  | | | | | | | 
% 73.20/10.98  | | | | | | End of split
% 73.20/10.98  | | | | | | 
% 73.20/10.98  | | | | | End of split
% 73.20/10.98  | | | | | 
% 73.20/10.98  | | | | End of split
% 73.20/10.98  | | | | 
% 73.20/10.98  | | | End of split
% 73.20/10.98  | | | 
% 73.20/10.98  | | End of split
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #210 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_8_3 = e4
% 73.20/10.98    (2)  all_8_3 = e3
% 73.20/10.98    (3)   ~ (e4 = e3)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.20/10.98  |   (4)  e4 = e3
% 73.20/10.98  | 
% 73.20/10.98  | SIMP: (4) implies:
% 73.20/10.98  |   (5)  e4 = e3
% 73.20/10.98  | 
% 73.20/10.98  | REDUCE: (3), (5) imply:
% 73.20/10.98  |   (6)  $false
% 73.20/10.98  | 
% 73.20/10.98  | CLOSE: (6) is inconsistent.
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #211 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_8_14 = all_4_13
% 73.20/10.98    (2)  all_8_15 = e0
% 73.20/10.98    (3)   ~ (e3 = e0)
% 73.20/10.98    (4)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 73.20/10.98    (5)  all_8_19 = all_4_23
% 73.20/10.98    (6)   ~ (all_4_23 = e3)
% 73.20/10.98    (7)   ~ (all_4_13 = e3)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (4) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (8)  all_8_14 = e3
% 73.20/10.98  | | 
% 73.20/10.98  | | REF_CLOSE: (1), (7), (8) are inconsistent by sub-proof #212.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (9)  all_8_15 = e3 | all_8_19 = e3
% 73.20/10.98  | | 
% 73.20/10.98  | | BETA: splitting (9) gives:
% 73.20/10.98  | | 
% 73.20/10.98  | | Case 1:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (10)  all_8_15 = e3
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (2), (10) imply:
% 73.20/10.98  | | |   (11)  e3 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (3), (11) imply:
% 73.20/10.98  | | |   (12)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (12) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | Case 2:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (13)  all_8_19 = e3
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (5), (13) imply:
% 73.20/10.98  | | |   (14)  all_4_23 = e3
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (14) implies:
% 73.20/10.98  | | |   (15)  all_4_23 = e3
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (6), (15) imply:
% 73.20/10.98  | | |   (16)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (16) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | End of split
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #212 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_8_14 = all_4_13
% 73.20/10.98    (2)  all_8_14 = e3
% 73.20/10.98    (3)   ~ (all_4_13 = e3)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.20/10.98  |   (4)  all_4_13 = e3
% 73.20/10.98  | 
% 73.20/10.98  | SIMP: (4) implies:
% 73.20/10.98  |   (5)  all_4_13 = e3
% 73.20/10.98  | 
% 73.20/10.98  | REDUCE: (3), (5) imply:
% 73.20/10.98  |   (6)  $false
% 73.20/10.98  | 
% 73.20/10.98  | CLOSE: (6) is inconsistent.
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #213 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)   ~ (e3 = e1)
% 73.20/10.98    (2)  all_8_23 = e3
% 73.20/10.98    (3)  all_8_15 = e0
% 73.20/10.98    (4)   ~ (e1 = e0)
% 73.20/10.98    (5)  all_8_15 = e1 | all_8_23 = e1
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (5) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (6)  all_8_15 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | COMBINE_EQS: (3), (6) imply:
% 73.20/10.98  | |   (7)  e1 = e0
% 73.20/10.98  | | 
% 73.20/10.98  | | REDUCE: (4), (7) imply:
% 73.20/10.98  | |   (8)  $false
% 73.20/10.98  | | 
% 73.20/10.98  | | CLOSE: (8) is inconsistent.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (9)  all_8_23 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | COMBINE_EQS: (2), (9) imply:
% 73.20/10.98  | |   (10)  e3 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | SIMP: (10) implies:
% 73.20/10.98  | |   (11)  e3 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | REDUCE: (1), (11) imply:
% 73.20/10.98  | |   (12)  $false
% 73.20/10.98  | | 
% 73.20/10.98  | | CLOSE: (12) is inconsistent.
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #214 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_10_3 = e0 &  ~ (unit = e1)
% 73.20/10.98    (2)  all_10_3 = e4
% 73.20/10.98    (3)   ~ (e4 = e0)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | ALPHA: (1) implies:
% 73.20/10.98  |   (4)  all_10_3 = e0
% 73.20/10.98  | 
% 73.20/10.98  | COMBINE_EQS: (2), (4) imply:
% 73.20/10.98  |   (5)  e4 = e0
% 73.20/10.98  | 
% 73.20/10.98  | REDUCE: (3), (5) imply:
% 73.20/10.98  |   (6)  $false
% 73.20/10.98  | 
% 73.20/10.98  | CLOSE: (6) is inconsistent.
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #215 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_6_4 = e4 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 73.20/10.98    (2)   ~ (all_4_20 = e1)
% 73.20/10.98    (3)   ~ (all_4_20 = e2)
% 73.20/10.98    (4)   ~ (all_4_20 = e4)
% 73.20/10.98    (5)  all_6_4 = all_4_20
% 73.20/10.98    (6)   ~ (all_4_20 = e0)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (1) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (7)  all_6_4 = e2
% 73.20/10.98  | | 
% 73.20/10.98  | | COMBINE_EQS: (5), (7) imply:
% 73.20/10.98  | |   (8)  all_4_20 = e2
% 73.20/10.98  | | 
% 73.20/10.98  | | SIMP: (8) implies:
% 73.20/10.98  | |   (9)  all_4_20 = e2
% 73.20/10.98  | | 
% 73.20/10.98  | | REDUCE: (3), (9) imply:
% 73.20/10.98  | |   (10)  $false
% 73.20/10.98  | | 
% 73.20/10.98  | | CLOSE: (10) is inconsistent.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (11)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 73.20/10.98  | | 
% 73.20/10.98  | | REF_CLOSE: (2), (4), (5), (6), (11) are inconsistent by sub-proof #216.
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #216 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)   ~ (all_4_20 = e1)
% 73.20/10.98    (2)   ~ (all_4_20 = e4)
% 73.20/10.98    (3)  all_6_4 = all_4_20
% 73.20/10.98    (4)  all_6_4 = e4 | all_6_4 = e1 | all_6_4 = e0
% 73.20/10.98    (5)   ~ (all_4_20 = e0)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (4) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (6)  all_6_4 = e1
% 73.20/10.98  | | 
% 73.20/10.98  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #217.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (7)  all_6_4 = e4 | all_6_4 = e0
% 73.20/10.98  | | 
% 73.20/10.98  | | BETA: splitting (7) gives:
% 73.20/10.98  | | 
% 73.20/10.98  | | Case 1:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (8)  all_6_4 = e4
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (3), (8) imply:
% 73.20/10.98  | | |   (9)  all_4_20 = e4
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (9) implies:
% 73.20/10.98  | | |   (10)  all_4_20 = e4
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (2), (10) imply:
% 73.20/10.98  | | |   (11)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (11) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | Case 2:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (12)  all_6_4 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (3), (12) imply:
% 73.20/10.98  | | |   (13)  all_4_20 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (13) implies:
% 73.20/10.98  | | |   (14)  all_4_20 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (5), (14) imply:
% 73.20/10.98  | | |   (15)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (15) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | End of split
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #217 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_6_4 = all_4_20
% 73.20/10.98    (2)  all_6_4 = e1
% 73.20/10.98    (3)   ~ (all_4_20 = e1)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.20/10.98  |   (4)  all_4_20 = e1
% 73.20/10.98  | 
% 73.20/10.98  | SIMP: (4) implies:
% 73.20/10.98  |   (5)  all_4_20 = e1
% 73.20/10.98  | 
% 73.20/10.98  | REDUCE: (3), (5) imply:
% 73.20/10.98  |   (6)  $false
% 73.20/10.98  | 
% 73.20/10.98  | CLOSE: (6) is inconsistent.
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #218 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_8_1 = e1
% 73.20/10.98    (2)  all_8_13 = e3
% 73.20/10.98    (3)  all_10_14 = all_4_22
% 73.20/10.98    (4)   ~ (e4 = e0)
% 73.20/10.98    (5)  all_8_3 = e4
% 73.20/10.98    (6)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 =
% 73.20/10.98         e0
% 73.20/10.98    (7)   ~ (e3 = e0)
% 73.20/10.98    (8)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))
% 73.20/10.98    (9)  all_8_7 = all_4_7
% 73.20/10.98    (10)   ~ (e1 = e0)
% 73.20/10.98    (11)  all_10_11 = all_4_7
% 73.20/10.98    (12)   ~ (all_4_22 = e3)
% 73.20/10.98    (13)   ~ (all_4_9 = e0)
% 73.20/10.98    (14)  all_8_21 = all_4_9
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (8) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (15)   ~ (all_10_11 = e0)
% 73.20/10.98  | | 
% 73.20/10.98  | | REDUCE: (11), (15) imply:
% 73.20/10.98  | |   (16)   ~ (all_4_7 = e0)
% 73.20/10.98  | | 
% 73.20/10.98  | | BETA: splitting (6) gives:
% 73.20/10.98  | | 
% 73.20/10.98  | | Case 1:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (17)  all_8_1 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | COMBINE_EQS: (1), (17) imply:
% 73.20/10.98  | | |   (18)  e1 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | SIMP: (18) implies:
% 73.20/10.98  | | |   (19)  e1 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REDUCE: (10), (19) imply:
% 73.20/10.98  | | |   (20)  $false
% 73.20/10.98  | | | 
% 73.20/10.98  | | | CLOSE: (20) is inconsistent.
% 73.20/10.98  | | | 
% 73.20/10.98  | | Case 2:
% 73.20/10.98  | | | 
% 73.20/10.98  | | |   (21)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.20/10.98  | | | 
% 73.20/10.98  | | | REF_CLOSE: (2), (4), (5), (7), (9), (13), (14), (16), (21) are
% 73.20/10.98  | | |            inconsistent by sub-proof #220.
% 73.20/10.98  | | | 
% 73.20/10.98  | | End of split
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (22)  all_10_14 = e3 &  ~ (unit = e0)
% 73.20/10.98  | | 
% 73.20/10.98  | | REF_CLOSE: (3), (12), (22) are inconsistent by sub-proof #219.
% 73.20/10.98  | | 
% 73.20/10.98  | End of split
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #219 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_10_14 = e3 &  ~ (unit = e0)
% 73.20/10.98    (2)  all_10_14 = all_4_22
% 73.20/10.98    (3)   ~ (all_4_22 = e3)
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | ALPHA: (1) implies:
% 73.20/10.98  |   (4)  all_10_14 = e3
% 73.20/10.98  | 
% 73.20/10.98  | COMBINE_EQS: (2), (4) imply:
% 73.20/10.98  |   (5)  all_4_22 = e3
% 73.20/10.98  | 
% 73.20/10.98  | SIMP: (5) implies:
% 73.20/10.98  |   (6)  all_4_22 = e3
% 73.20/10.98  | 
% 73.20/10.98  | REDUCE: (3), (6) imply:
% 73.20/10.98  |   (7)  $false
% 73.20/10.98  | 
% 73.20/10.98  | CLOSE: (7) is inconsistent.
% 73.20/10.98  | 
% 73.20/10.98  End of proof
% 73.20/10.98  
% 73.20/10.98  Sub-proof #220 shows that the following formulas are inconsistent:
% 73.20/10.98  ----------------------------------------------------------------
% 73.20/10.98    (1)  all_8_13 = e3
% 73.20/10.98    (2)   ~ (e4 = e0)
% 73.20/10.98    (3)  all_8_3 = e4
% 73.20/10.98    (4)   ~ (e3 = e0)
% 73.20/10.98    (5)  all_8_7 = all_4_7
% 73.20/10.98    (6)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.20/10.98    (7)   ~ (all_4_9 = e0)
% 73.20/10.98    (8)   ~ (all_4_7 = e0)
% 73.20/10.98    (9)  all_8_21 = all_4_9
% 73.20/10.98  
% 73.20/10.98  Begin of proof
% 73.20/10.98  | 
% 73.20/10.98  | BETA: splitting (6) gives:
% 73.20/10.98  | 
% 73.20/10.98  | Case 1:
% 73.20/10.98  | | 
% 73.20/10.98  | |   (10)  all_8_3 = e0
% 73.20/10.98  | | 
% 73.20/10.98  | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #276.
% 73.20/10.98  | | 
% 73.20/10.98  | Case 2:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (11)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/10.98  | | 
% 73.36/10.98  | | REF_CLOSE: (1), (4), (5), (7), (8), (9), (11) are inconsistent by sub-proof
% 73.36/10.98  | |            #232.
% 73.36/10.98  | | 
% 73.36/10.98  | End of split
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #221 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)   ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1))
% 73.36/10.98    (2)  all_10_1 = e1
% 73.36/10.98    (3)  all_10_3 = e4
% 73.36/10.98    (4)   ~ (e4 = e3)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | BETA: splitting (1) gives:
% 73.36/10.98  | 
% 73.36/10.98  | Case 1:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (5)   ~ (all_10_1 = e1)
% 73.36/10.98  | | 
% 73.36/10.98  | | REDUCE: (2), (5) imply:
% 73.36/10.98  | |   (6)  $false
% 73.36/10.98  | | 
% 73.36/10.98  | | CLOSE: (6) is inconsistent.
% 73.36/10.98  | | 
% 73.36/10.98  | Case 2:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (7)  all_10_3 = e3 &  ~ (unit = e1)
% 73.36/10.98  | | 
% 73.36/10.98  | | ALPHA: (7) implies:
% 73.36/10.98  | |   (8)  all_10_3 = e3
% 73.36/10.98  | | 
% 73.36/10.98  | | COMBINE_EQS: (3), (8) imply:
% 73.36/10.98  | |   (9)  e4 = e3
% 73.36/10.98  | | 
% 73.36/10.98  | | REDUCE: (4), (9) imply:
% 73.36/10.98  | |   (10)  $false
% 73.36/10.98  | | 
% 73.36/10.98  | | CLOSE: (10) is inconsistent.
% 73.36/10.98  | | 
% 73.36/10.98  | End of split
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #222 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_6_21 = e4 | all_6_21 = e1 | all_6_21 = e0
% 73.36/10.98    (2)   ~ (all_4_9 = e1)
% 73.36/10.98    (3)  all_6_21 = all_4_9
% 73.36/10.98    (4)   ~ (all_4_9 = e4)
% 73.36/10.98    (5)   ~ (all_4_9 = e0)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | BETA: splitting (1) gives:
% 73.36/10.98  | 
% 73.36/10.98  | Case 1:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (6)  all_6_21 = e1
% 73.36/10.98  | | 
% 73.36/10.98  | | COMBINE_EQS: (3), (6) imply:
% 73.36/10.98  | |   (7)  all_4_9 = e1
% 73.36/10.98  | | 
% 73.36/10.98  | | REDUCE: (2), (7) imply:
% 73.36/10.98  | |   (8)  $false
% 73.36/10.98  | | 
% 73.36/10.98  | | CLOSE: (8) is inconsistent.
% 73.36/10.98  | | 
% 73.36/10.98  | Case 2:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (9)  all_6_21 = e4 | all_6_21 = e0
% 73.36/10.98  | | 
% 73.36/10.98  | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #230.
% 73.36/10.98  | | 
% 73.36/10.98  | End of split
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #223 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_10_22 = e3 &  ~ (unit = e2)
% 73.36/10.98    (2)  all_10_22 = all_4_14
% 73.36/10.98    (3)   ~ (all_4_14 = e3)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | ALPHA: (1) implies:
% 73.36/10.98  |   (4)  all_10_22 = e3
% 73.36/10.98  | 
% 73.36/10.98  | COMBINE_EQS: (2), (4) imply:
% 73.36/10.98  |   (5)  all_4_14 = e3
% 73.36/10.98  | 
% 73.36/10.98  | SIMP: (5) implies:
% 73.36/10.98  |   (6)  all_4_14 = e3
% 73.36/10.98  | 
% 73.36/10.98  | REDUCE: (3), (6) imply:
% 73.36/10.98  |   (7)  $false
% 73.36/10.98  | 
% 73.36/10.98  | CLOSE: (7) is inconsistent.
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #224 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_6_4 = all_4_20
% 73.36/10.98    (2)  all_6_4 = e3
% 73.36/10.98    (3)   ~ (all_4_20 = e3)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.98  |   (4)  all_4_20 = e3
% 73.36/10.98  | 
% 73.36/10.98  | SIMP: (4) implies:
% 73.36/10.98  |   (5)  all_4_20 = e3
% 73.36/10.98  | 
% 73.36/10.98  | REDUCE: (3), (5) imply:
% 73.36/10.98  |   (6)  $false
% 73.36/10.98  | 
% 73.36/10.98  | CLOSE: (6) is inconsistent.
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #225 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_8_10 = e2
% 73.36/10.98    (2)  all_8_10 = e1
% 73.36/10.98    (3)   ~ (e2 = e1)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.98  |   (4)  e2 = e1
% 73.36/10.98  | 
% 73.36/10.98  | SIMP: (4) implies:
% 73.36/10.98  |   (5)  e2 = e1
% 73.36/10.98  | 
% 73.36/10.98  | REDUCE: (3), (5) imply:
% 73.36/10.98  |   (6)  $false
% 73.36/10.98  | 
% 73.36/10.98  | CLOSE: (6) is inconsistent.
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #226 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)   ~ (all_4_5 = e1)
% 73.36/10.98    (2)  all_6_1 = all_4_5
% 73.36/10.98    (3)   ~ (all_4_5 = e4)
% 73.36/10.98    (4)   ~ (all_4_5 = e2)
% 73.36/10.98    (5)   ~ (all_4_5 = e0)
% 73.36/10.98    (6)  all_6_1 = e4 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | BETA: splitting (6) gives:
% 73.36/10.98  | 
% 73.36/10.98  | Case 1:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (7)  all_6_1 = e2
% 73.36/10.98  | | 
% 73.36/10.98  | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #229.
% 73.36/10.98  | | 
% 73.36/10.98  | Case 2:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (8)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 73.36/10.98  | | 
% 73.36/10.98  | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #227.
% 73.36/10.98  | | 
% 73.36/10.98  | End of split
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #227 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_6_1 = e4 | all_6_1 = e1 | all_6_1 = e0
% 73.36/10.98    (2)   ~ (all_4_5 = e1)
% 73.36/10.98    (3)  all_6_1 = all_4_5
% 73.36/10.98    (4)   ~ (all_4_5 = e4)
% 73.36/10.98    (5)   ~ (all_4_5 = e0)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | BETA: splitting (1) gives:
% 73.36/10.98  | 
% 73.36/10.98  | Case 1:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (6)  all_6_1 = e1
% 73.36/10.98  | | 
% 73.36/10.98  | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #228.
% 73.36/10.98  | | 
% 73.36/10.98  | Case 2:
% 73.36/10.98  | | 
% 73.36/10.98  | |   (7)  all_6_1 = e4 | all_6_1 = e0
% 73.36/10.98  | | 
% 73.36/10.98  | | BETA: splitting (7) gives:
% 73.36/10.98  | | 
% 73.36/10.98  | | Case 1:
% 73.36/10.98  | | | 
% 73.36/10.98  | | |   (8)  all_6_1 = e4
% 73.36/10.98  | | | 
% 73.36/10.98  | | | COMBINE_EQS: (3), (8) imply:
% 73.36/10.98  | | |   (9)  all_4_5 = e4
% 73.36/10.98  | | | 
% 73.36/10.98  | | | REDUCE: (4), (9) imply:
% 73.36/10.98  | | |   (10)  $false
% 73.36/10.98  | | | 
% 73.36/10.98  | | | CLOSE: (10) is inconsistent.
% 73.36/10.98  | | | 
% 73.36/10.98  | | Case 2:
% 73.36/10.98  | | | 
% 73.36/10.98  | | |   (11)  all_6_1 = e0
% 73.36/10.98  | | | 
% 73.36/10.98  | | | COMBINE_EQS: (3), (11) imply:
% 73.36/10.98  | | |   (12)  all_4_5 = e0
% 73.36/10.98  | | | 
% 73.36/10.98  | | | REDUCE: (5), (12) imply:
% 73.36/10.98  | | |   (13)  $false
% 73.36/10.98  | | | 
% 73.36/10.98  | | | CLOSE: (13) is inconsistent.
% 73.36/10.98  | | | 
% 73.36/10.98  | | End of split
% 73.36/10.98  | | 
% 73.36/10.98  | End of split
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #228 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_6_1 = all_4_5
% 73.36/10.98    (2)  all_6_1 = e1
% 73.36/10.98    (3)   ~ (all_4_5 = e1)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.98  |   (4)  all_4_5 = e1
% 73.36/10.98  | 
% 73.36/10.98  | SIMP: (4) implies:
% 73.36/10.98  |   (5)  all_4_5 = e1
% 73.36/10.98  | 
% 73.36/10.98  | REDUCE: (3), (5) imply:
% 73.36/10.98  |   (6)  $false
% 73.36/10.98  | 
% 73.36/10.98  | CLOSE: (6) is inconsistent.
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #229 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_6_1 = all_4_5
% 73.36/10.98    (2)  all_6_1 = e2
% 73.36/10.98    (3)   ~ (all_4_5 = e2)
% 73.36/10.98  
% 73.36/10.98  Begin of proof
% 73.36/10.98  | 
% 73.36/10.98  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.98  |   (4)  all_4_5 = e2
% 73.36/10.98  | 
% 73.36/10.98  | SIMP: (4) implies:
% 73.36/10.98  |   (5)  all_4_5 = e2
% 73.36/10.98  | 
% 73.36/10.98  | REDUCE: (3), (5) imply:
% 73.36/10.98  |   (6)  $false
% 73.36/10.98  | 
% 73.36/10.98  | CLOSE: (6) is inconsistent.
% 73.36/10.98  | 
% 73.36/10.98  End of proof
% 73.36/10.98  
% 73.36/10.98  Sub-proof #230 shows that the following formulas are inconsistent:
% 73.36/10.98  ----------------------------------------------------------------
% 73.36/10.98    (1)  all_6_21 = e4 | all_6_21 = e0
% 73.36/10.99    (2)  all_6_21 = all_4_9
% 73.36/10.99    (3)   ~ (all_4_9 = e4)
% 73.36/10.99    (4)   ~ (all_4_9 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (1) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (5)  all_6_21 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (2), (5) imply:
% 73.36/10.99  | |   (6)  all_4_9 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (3), (6) imply:
% 73.36/10.99  | |   (7)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (7) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (8)  all_6_21 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (2), (8) imply:
% 73.36/10.99  | |   (9)  all_4_9 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (4), (9) imply:
% 73.36/10.99  | |   (10)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (10) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #231 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_8_13 = e3
% 73.36/10.99    (2)  all_10_14 = all_4_22
% 73.36/10.99    (3)   ~ (e3 = e0)
% 73.36/10.99    (4)   ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))
% 73.36/10.99    (5)  all_8_7 = all_4_7
% 73.36/10.99    (6)  all_10_11 = all_4_7
% 73.36/10.99    (7)   ~ (all_4_22 = e3)
% 73.36/10.99    (8)   ~ (all_4_9 = e0)
% 73.36/10.99    (9)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/10.99    (10)  all_8_21 = all_4_9
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (4) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (11)   ~ (all_10_11 = e0)
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (6), (11) imply:
% 73.36/10.99  | |   (12)   ~ (all_4_7 = e0)
% 73.36/10.99  | | 
% 73.36/10.99  | | REF_CLOSE: (1), (3), (5), (8), (9), (10), (12) are inconsistent by sub-proof
% 73.36/10.99  | |            #232.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (13)  all_10_14 = e3 &  ~ (unit = e0)
% 73.36/10.99  | | 
% 73.36/10.99  | | ALPHA: (13) implies:
% 73.36/10.99  | |   (14)  all_10_14 = e3
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (2), (14) imply:
% 73.36/10.99  | |   (15)  all_4_22 = e3
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (7), (15) imply:
% 73.36/10.99  | |   (16)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (16) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #232 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_8_13 = e3
% 73.36/10.99    (2)   ~ (e3 = e0)
% 73.36/10.99    (3)  all_8_7 = all_4_7
% 73.36/10.99    (4)   ~ (all_4_9 = e0)
% 73.36/10.99    (5)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/10.99    (6)   ~ (all_4_7 = e0)
% 73.36/10.99    (7)  all_8_21 = all_4_9
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (5) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (8)  all_8_7 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (3), (8) imply:
% 73.36/10.99  | |   (9)  all_4_7 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (6), (9) imply:
% 73.36/10.99  | |   (10)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (10) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (11)  all_8_13 = e0 | all_8_21 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REF_CLOSE: (1), (2), (4), (7), (11) are inconsistent by sub-proof #258.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #233 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_6_13 = all_4_17
% 73.36/10.99    (2)  all_6_13 = e0
% 73.36/10.99    (3)   ~ (all_4_17 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  all_4_17 = e0
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  all_4_17 = e0
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #234 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))
% 73.36/10.99    (2)  all_10_15 = e1
% 73.36/10.99    (3)  all_10_18 = e0
% 73.36/10.99    (4)   ~ (e4 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (1) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (5)   ~ (all_10_15 = e1)
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (2), (5) imply:
% 73.36/10.99  | |   (6)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (6) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (7)  all_10_18 = e4 &  ~ (unit = e1)
% 73.36/10.99  | | 
% 73.36/10.99  | | ALPHA: (7) implies:
% 73.36/10.99  | |   (8)  all_10_18 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (3), (8) imply:
% 73.36/10.99  | |   (9)  e4 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (4), (9) imply:
% 73.36/10.99  | |   (10)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (10) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #235 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (all_4_2 = e1)
% 73.36/10.99    (2)  all_6_10 = e4 | all_6_10 = e1 | all_6_10 = e0
% 73.36/10.99    (3)   ~ (all_4_2 = e4)
% 73.36/10.99    (4)   ~ (all_4_2 = e0)
% 73.36/10.99    (5)  all_6_10 = all_4_2
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (2) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (6)  all_6_10 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (5), (6) imply:
% 73.36/10.99  | |   (7)  all_4_2 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | SIMP: (7) implies:
% 73.36/10.99  | |   (8)  all_4_2 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (1), (8) imply:
% 73.36/10.99  | |   (9)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (9) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (10)  all_6_10 = e4 | all_6_10 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #236.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #236 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_6_10 = e4 | all_6_10 = e0
% 73.36/10.99    (2)  all_6_10 = all_4_2
% 73.36/10.99    (3)   ~ (all_4_2 = e4)
% 73.36/10.99    (4)   ~ (all_4_2 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (1) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (5)  all_6_10 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (2), (5) imply:
% 73.36/10.99  | |   (6)  all_4_2 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | SIMP: (6) implies:
% 73.36/10.99  | |   (7)  all_4_2 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (3), (7) imply:
% 73.36/10.99  | |   (8)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (8) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (9)  all_6_10 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (2), (9) imply:
% 73.36/10.99  | |   (10)  all_4_2 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | SIMP: (10) implies:
% 73.36/10.99  | |   (11)  all_4_2 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (4), (11) imply:
% 73.36/10.99  | |   (12)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (12) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #237 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (all_4_3 = e4)
% 73.36/10.99    (2)   ~ (all_4_3 = e0)
% 73.36/10.99    (3)  all_6_15 = e4 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0
% 73.36/10.99    (4)   ~ (all_4_3 = e1)
% 73.36/10.99    (5)   ~ (all_4_3 = e2)
% 73.36/10.99    (6)  all_6_15 = all_4_3
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (3) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (7)  all_6_15 = e2
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (6), (7) imply:
% 73.36/10.99  | |   (8)  all_4_3 = e2
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (5), (8) imply:
% 73.36/10.99  | |   (9)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (9) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (10)  all_6_15 = e4 | all_6_15 = e1 | all_6_15 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REF_CLOSE: (1), (2), (4), (6), (10) are inconsistent by sub-proof #238.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #238 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (all_4_3 = e4)
% 73.36/10.99    (2)   ~ (all_4_3 = e0)
% 73.36/10.99    (3)   ~ (all_4_3 = e1)
% 73.36/10.99    (4)  all_6_15 = all_4_3
% 73.36/10.99    (5)  all_6_15 = e4 | all_6_15 = e1 | all_6_15 = e0
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (5) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (6)  all_6_15 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (4), (6) imply:
% 73.36/10.99  | |   (7)  all_4_3 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | SIMP: (7) implies:
% 73.36/10.99  | |   (8)  all_4_3 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (3), (8) imply:
% 73.36/10.99  | |   (9)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (9) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (10)  all_6_15 = e4 | all_6_15 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | BETA: splitting (10) gives:
% 73.36/10.99  | | 
% 73.36/10.99  | | Case 1:
% 73.36/10.99  | | | 
% 73.36/10.99  | | |   (11)  all_6_15 = e4
% 73.36/10.99  | | | 
% 73.36/10.99  | | | COMBINE_EQS: (4), (11) imply:
% 73.36/10.99  | | |   (12)  all_4_3 = e4
% 73.36/10.99  | | | 
% 73.36/10.99  | | | SIMP: (12) implies:
% 73.36/10.99  | | |   (13)  all_4_3 = e4
% 73.36/10.99  | | | 
% 73.36/10.99  | | | REDUCE: (1), (13) imply:
% 73.36/10.99  | | |   (14)  $false
% 73.36/10.99  | | | 
% 73.36/10.99  | | | CLOSE: (14) is inconsistent.
% 73.36/10.99  | | | 
% 73.36/10.99  | | Case 2:
% 73.36/10.99  | | | 
% 73.36/10.99  | | |   (15)  all_6_15 = e0
% 73.36/10.99  | | | 
% 73.36/10.99  | | | COMBINE_EQS: (4), (15) imply:
% 73.36/10.99  | | |   (16)  all_4_3 = e0
% 73.36/10.99  | | | 
% 73.36/10.99  | | | SIMP: (16) implies:
% 73.36/10.99  | | |   (17)  all_4_3 = e0
% 73.36/10.99  | | | 
% 73.36/10.99  | | | REDUCE: (2), (17) imply:
% 73.36/10.99  | | |   (18)  $false
% 73.36/10.99  | | | 
% 73.36/10.99  | | | CLOSE: (18) is inconsistent.
% 73.36/10.99  | | | 
% 73.36/10.99  | | End of split
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #239 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))
% 73.36/10.99    (2)  all_10_20 = e1
% 73.36/10.99    (3)  all_10_23 = e3
% 73.36/10.99    (4)   ~ (e4 = e3)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (1) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (5)   ~ (all_10_20 = e1)
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (2), (5) imply:
% 73.36/10.99  | |   (6)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (6) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (7)  all_10_23 = e4 &  ~ (unit = e1)
% 73.36/10.99  | | 
% 73.36/10.99  | | ALPHA: (7) implies:
% 73.36/10.99  | |   (8)  all_10_23 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (3), (8) imply:
% 73.36/10.99  | |   (9)  e4 = e3
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (4), (9) imply:
% 73.36/10.99  | |   (10)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (10) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #240 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_6_10 = all_4_2
% 73.36/10.99    (2)  all_6_10 = e3
% 73.36/10.99    (3)   ~ (all_4_2 = e3)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  all_4_2 = e3
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  all_4_2 = e3
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #241 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (e3 = e1)
% 73.36/10.99    (2)  all_8_13 = e3
% 73.36/10.99    (3)  all_8_13 = e1 | all_8_21 = e1
% 73.36/10.99    (4)  all_8_21 = e0
% 73.36/10.99    (5)   ~ (e1 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (3) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (6)  all_8_13 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #242.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (7)  all_8_21 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (4), (7) imply:
% 73.36/10.99  | |   (8)  e1 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (5), (8) imply:
% 73.36/10.99  | |   (9)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (9) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #242 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_8_13 = e3
% 73.36/10.99    (2)  all_8_13 = e1
% 73.36/10.99    (3)   ~ (e3 = e1)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  e3 = e1
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  e3 = e1
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #243 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_8_18 = all_4_22
% 73.36/10.99    (2)  all_8_18 = e2
% 73.36/10.99    (3)   ~ (all_4_22 = e2)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  all_4_22 = e2
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  all_4_22 = e2
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #244 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_8_17 = e3
% 73.36/10.99    (2)  all_8_17 = e2
% 73.36/10.99    (3)   ~ (e3 = e2)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  e3 = e2
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  e3 = e2
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #245 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_8_16 = e4
% 73.36/10.99    (2)  all_8_16 = e2
% 73.36/10.99    (3)   ~ (e4 = e2)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  e4 = e2
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  e4 = e2
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #246 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  op(e2, unit) = e2
% 73.36/10.99    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.36/10.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.36/10.99    (3)  unit = e4
% 73.36/10.99    (4)  op(e2, e4) = e1
% 73.36/10.99    (5)   ~ (e2 = e1)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (1), (3) imply:
% 73.36/10.99  |   (6)  op(e2, e4) = e2
% 73.36/10.99  | 
% 73.36/10.99  | GROUND_INST: instantiating (2) with e1, e2, e4, e2, simplifying with (4), (6)
% 73.36/10.99  |              gives:
% 73.36/10.99  |   (7)  e2 = e1
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (5), (7) imply:
% 73.36/10.99  |   (8)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (8) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #247 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.36/10.99           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.36/10.99    (2)  op(e2, e0) = e2
% 73.36/10.99    (3)  op(e2, e0) = e0
% 73.36/10.99    (4)   ~ (e2 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | GROUND_INST: instantiating (1) with e0, e2, e0, e2, simplifying with (2), (3)
% 73.36/10.99  |              gives:
% 73.36/10.99  |   (5)  e2 = e0
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (4), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #248 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  all_6_14 = all_4_22
% 73.36/10.99    (2)  all_6_14 = e3
% 73.36/10.99    (3)   ~ (all_4_22 = e3)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | COMBINE_EQS: (1), (2) imply:
% 73.36/10.99  |   (4)  all_4_22 = e3
% 73.36/10.99  | 
% 73.36/10.99  | SIMP: (4) implies:
% 73.36/10.99  |   (5)  all_4_22 = e3
% 73.36/10.99  | 
% 73.36/10.99  | REDUCE: (3), (5) imply:
% 73.36/10.99  |   (6)  $false
% 73.36/10.99  | 
% 73.36/10.99  | CLOSE: (6) is inconsistent.
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #249 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (e4 = e0)
% 73.36/10.99    (2)  all_8_23 = e3
% 73.36/10.99    (3)  all_8_15 = e0
% 73.36/10.99    (4)   ~ (e4 = e3)
% 73.36/10.99    (5)  all_8_11 = e1
% 73.36/10.99    (6)   ~ (e4 = e1)
% 73.36/10.99    (7)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (7) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (8)  all_8_11 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (5), (8) imply:
% 73.36/10.99  | |   (9)  e4 = e1
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (6), (9) imply:
% 73.36/10.99  | |   (10)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (10) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (11)  all_8_15 = e4 | all_8_23 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | REF_CLOSE: (1), (2), (3), (4), (11) are inconsistent by sub-proof #250.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #250 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (e4 = e0)
% 73.36/10.99    (2)  all_8_23 = e3
% 73.36/10.99    (3)  all_8_15 = e0
% 73.36/10.99    (4)   ~ (e4 = e3)
% 73.36/10.99    (5)  all_8_15 = e4 | all_8_23 = e4
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (5) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (6)  all_8_15 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (3), (6) imply:
% 73.36/10.99  | |   (7)  e4 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (1), (7) imply:
% 73.36/10.99  | |   (8)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (8) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (9)  all_8_23 = e4
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (2), (9) imply:
% 73.36/10.99  | |   (10)  e4 = e3
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (4), (10) imply:
% 73.36/10.99  | |   (11)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (11) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #251 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)   ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))
% 73.36/10.99    (2)  all_10_1 = e2
% 73.36/10.99    (3)  all_10_2 = e0
% 73.36/10.99    (4)   ~ (e3 = e0)
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (1) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (5)   ~ (all_10_1 = e2)
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (2), (5) imply:
% 73.36/10.99  | |   (6)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (6) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | Case 2:
% 73.36/10.99  | | 
% 73.36/10.99  | |   (7)  all_10_2 = e3 &  ~ (unit = e2)
% 73.36/10.99  | | 
% 73.36/10.99  | | ALPHA: (7) implies:
% 73.36/10.99  | |   (8)  all_10_2 = e3
% 73.36/10.99  | | 
% 73.36/10.99  | | COMBINE_EQS: (3), (8) imply:
% 73.36/10.99  | |   (9)  e3 = e0
% 73.36/10.99  | | 
% 73.36/10.99  | | REDUCE: (4), (9) imply:
% 73.36/10.99  | |   (10)  $false
% 73.36/10.99  | | 
% 73.36/10.99  | | CLOSE: (10) is inconsistent.
% 73.36/10.99  | | 
% 73.36/10.99  | End of split
% 73.36/10.99  | 
% 73.36/10.99  End of proof
% 73.36/10.99  
% 73.36/10.99  Sub-proof #252 shows that the following formulas are inconsistent:
% 73.36/10.99  ----------------------------------------------------------------
% 73.36/10.99    (1)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 73.36/10.99               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 73.36/10.99               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 73.36/10.99                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 73.36/10.99           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 73.36/10.99               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 73.36/10.99               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 73.36/10.99                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 73.36/10.99           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 73.36/10.99             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 73.36/10.99             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 73.36/10.99             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 73.36/10.99             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 73.36/10.99               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 73.36/10.99           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/10.99             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 73.36/10.99             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 73.36/10.99             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 73.36/10.99             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 73.36/10.99             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 73.36/10.99             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 73.36/10.99             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 73.36/10.99             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 73.36/10.99               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 73.36/10.99             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 73.36/10.99               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 73.36/10.99             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 73.36/10.99               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 73.36/10.99             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 73.36/10.99               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 73.36/10.99             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 73.36/10.99               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 73.36/10.99           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/10.99             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 73.36/10.99             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 73.36/10.99             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 73.36/10.99             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 73.36/10.99             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 73.36/10.99             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 73.36/10.99             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 73.36/10.99               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 73.36/10.99           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/10.99             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 73.36/10.99    (2)  all_10_6 = e4
% 73.36/10.99    (3)  all_8_13 = all_4_8
% 73.36/10.99    (4)  all_10_23 = e3
% 73.36/10.99    (5)   ~ (e4 = e0)
% 73.36/10.99    (6)  all_8_3 = e4
% 73.36/10.99    (7)  all_10_5 = e0
% 73.36/10.99    (8)  all_10_21 = all_4_9
% 73.36/10.99    (9)   ~ (e3 = e0)
% 73.36/10.99    (10)   ~ (all_4_8 = e0)
% 73.36/10.99    (11)  all_8_7 = all_4_7
% 73.36/10.99    (12)   ~ (e1 = e0)
% 73.36/10.99    (13)  all_10_11 = all_4_7
% 73.36/10.99    (14)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/10.99    (15)   ~ (e2 = e0)
% 73.36/10.99    (16)  all_10_12 = e3
% 73.36/10.99    (17)  all_8_21 = all_4_9
% 73.36/10.99  
% 73.36/10.99  Begin of proof
% 73.36/10.99  | 
% 73.36/10.99  | BETA: splitting (1) gives:
% 73.36/10.99  | 
% 73.36/10.99  | Case 1:
% 73.36/10.99  | | 
% 73.36/11.00  | |   (18)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) |
% 73.36/11.00  | |           (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 73.36/11.00  | |           (all_10_0 = e2 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 73.36/11.00  | |           (all_10_0 = e1 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |
% 73.36/11.00  | |           (all_10_0 = e0 &  ~ (unit = e4))) & ( ~ (all_10_5 = e4) |  ~ (unit
% 73.36/11.00  | |             = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4)))
% 73.36/11.00  | |         & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/11.00  | |           (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 73.36/11.00  | |           (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 73.36/11.00  | |           (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 73.36/11.00  | |           (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 73.36/11.00  | |           (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 73.36/11.00  | |           (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 73.36/11.00  | |           (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~
% 73.36/11.00  | |           (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit =
% 73.36/11.00  | |               e4))) & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 73.36/11.00  | |               e4))) & ( ~ (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 73.36/11.00  | |               e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit =
% 73.36/11.00  | |               e4))) & ( ~ (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 73.36/11.00  | |           (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.00  | |           (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/11.00  | |           (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 73.36/11.00  | |           (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))
% 73.36/11.00  | | 
% 73.36/11.00  | | ALPHA: (18) implies:
% 73.36/11.00  | |   (19)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 73.36/11.00  | | 
% 73.36/11.00  | | REF_CLOSE: (2), (7), (9), (19) are inconsistent by sub-proof #274.
% 73.36/11.00  | | 
% 73.36/11.00  | Case 2:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (20)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~
% 73.36/11.00  | |           (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) |
% 73.36/11.00  | |           (all_10_1 = e2 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 73.36/11.00  | |           (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 73.36/11.00  | |           (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 73.36/11.00  | |           (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit
% 73.36/11.00  | |             = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3)))
% 73.36/11.00  | |         & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/11.00  | |           (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 73.36/11.00  | |           (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 73.36/11.00  | |           (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 73.36/11.00  | |           (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 73.36/11.00  | |           (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 73.36/11.00  | |           (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 73.36/11.00  | |           (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |  ~
% 73.36/11.00  | |           (unit = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 73.36/11.00  | |               e3))) & ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit =
% 73.36/11.00  | |               e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 73.36/11.00  | |               e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 73.36/11.00  | |               e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 73.36/11.00  | |           (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3))) & ( ~
% 73.36/11.00  | |           (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/11.00  | |           (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))
% 73.36/11.00  | | 
% 73.36/11.00  | | ALPHA: (20) implies:
% 73.36/11.00  | |   (21)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 73.36/11.00  | |   (22)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))
% 73.36/11.00  | | 
% 73.36/11.00  | | REF_CLOSE: (3), (4), (5), (6), (8), (10), (11), (12), (13), (14), (15),
% 73.36/11.00  | |            (16), (17), (21), (22) are inconsistent by sub-proof #253.
% 73.36/11.00  | | 
% 73.36/11.00  | End of split
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #253 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_13 = all_4_8
% 73.36/11.00    (2)  all_10_23 = e3
% 73.36/11.00    (3)   ~ (e4 = e0)
% 73.36/11.00    (4)   ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))
% 73.36/11.00    (5)  all_8_3 = e4
% 73.36/11.00    (6)  all_10_21 = all_4_9
% 73.36/11.00    (7)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 73.36/11.00    (8)   ~ (all_4_8 = e0)
% 73.36/11.00    (9)  all_8_7 = all_4_7
% 73.36/11.00    (10)   ~ (e1 = e0)
% 73.36/11.00    (11)  all_10_11 = all_4_7
% 73.36/11.00    (12)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00    (13)   ~ (e2 = e0)
% 73.36/11.00    (14)  all_10_12 = e3
% 73.36/11.00    (15)  all_8_21 = all_4_9
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | BETA: splitting (4) gives:
% 73.36/11.00  | 
% 73.36/11.00  | Case 1:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (16)   ~ (all_10_12 = e3)
% 73.36/11.00  | | 
% 73.36/11.00  | | REDUCE: (14), (16) imply:
% 73.36/11.00  | |   (17)  $false
% 73.36/11.00  | | 
% 73.36/11.00  | | CLOSE: (17) is inconsistent.
% 73.36/11.00  | | 
% 73.36/11.00  | Case 2:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (18)  all_10_11 = e2 &  ~ (unit = e3)
% 73.36/11.00  | | 
% 73.36/11.00  | | ALPHA: (18) implies:
% 73.36/11.00  | |   (19)  all_10_11 = e2
% 73.36/11.00  | | 
% 73.36/11.00  | | COMBINE_EQS: (11), (19) imply:
% 73.36/11.00  | |   (20)  all_4_7 = e2
% 73.36/11.00  | | 
% 73.36/11.00  | | SIMP: (20) implies:
% 73.36/11.00  | |   (21)  all_4_7 = e2
% 73.36/11.00  | | 
% 73.36/11.00  | | COMBINE_EQS: (9), (21) imply:
% 73.36/11.00  | |   (22)  all_8_7 = e2
% 73.36/11.00  | | 
% 73.36/11.00  | | BETA: splitting (7) gives:
% 73.36/11.00  | | 
% 73.36/11.00  | | Case 1:
% 73.36/11.00  | | | 
% 73.36/11.00  | | |   (23)   ~ (all_10_23 = e3)
% 73.36/11.00  | | | 
% 73.36/11.00  | | | REDUCE: (2), (23) imply:
% 73.36/11.00  | | |   (24)  $false
% 73.36/11.00  | | | 
% 73.36/11.00  | | | CLOSE: (24) is inconsistent.
% 73.36/11.00  | | | 
% 73.36/11.00  | | Case 2:
% 73.36/11.00  | | | 
% 73.36/11.00  | | |   (25)  all_10_21 = e1 &  ~ (unit = e3)
% 73.36/11.00  | | | 
% 73.36/11.00  | | | ALPHA: (25) implies:
% 73.36/11.00  | | |   (26)  all_10_21 = e1
% 73.36/11.00  | | | 
% 73.36/11.00  | | | COMBINE_EQS: (6), (26) imply:
% 73.36/11.00  | | |   (27)  all_4_9 = e1
% 73.36/11.00  | | | 
% 73.36/11.00  | | | SIMP: (27) implies:
% 73.36/11.00  | | |   (28)  all_4_9 = e1
% 73.36/11.00  | | | 
% 73.36/11.00  | | | COMBINE_EQS: (15), (28) imply:
% 73.36/11.00  | | |   (29)  all_8_21 = e1
% 73.36/11.00  | | | 
% 73.36/11.00  | | | REF_CLOSE: (1), (3), (5), (8), (10), (12), (13), (22), (29) are
% 73.36/11.00  | | |            inconsistent by sub-proof #254.
% 73.36/11.00  | | | 
% 73.36/11.00  | | End of split
% 73.36/11.00  | | 
% 73.36/11.00  | End of split
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #254 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_13 = all_4_8
% 73.36/11.00    (2)  all_8_7 = e2
% 73.36/11.00    (3)   ~ (e4 = e0)
% 73.36/11.00    (4)  all_8_3 = e4
% 73.36/11.00    (5)  all_8_21 = e1
% 73.36/11.00    (6)   ~ (all_4_8 = e0)
% 73.36/11.00    (7)   ~ (e1 = e0)
% 73.36/11.00    (8)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00    (9)   ~ (e2 = e0)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | BETA: splitting (8) gives:
% 73.36/11.00  | 
% 73.36/11.00  | Case 1:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (10)  all_8_3 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #276.
% 73.36/11.00  | | 
% 73.36/11.00  | Case 2:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (11)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | BETA: splitting (11) gives:
% 73.36/11.00  | | 
% 73.36/11.00  | | Case 1:
% 73.36/11.00  | | | 
% 73.36/11.00  | | |   (12)  all_8_7 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | COMBINE_EQS: (2), (12) imply:
% 73.36/11.00  | | |   (13)  e2 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | SIMP: (13) implies:
% 73.36/11.00  | | |   (14)  e2 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | REDUCE: (9), (14) imply:
% 73.36/11.00  | | |   (15)  $false
% 73.36/11.00  | | | 
% 73.36/11.00  | | | CLOSE: (15) is inconsistent.
% 73.36/11.00  | | | 
% 73.36/11.00  | | Case 2:
% 73.36/11.00  | | | 
% 73.36/11.00  | | |   (16)  all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | BETA: splitting (16) gives:
% 73.36/11.00  | | | 
% 73.36/11.00  | | | Case 1:
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | |   (17)  all_8_13 = e0
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | COMBINE_EQS: (1), (17) imply:
% 73.36/11.00  | | | |   (18)  all_4_8 = e0
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | SIMP: (18) implies:
% 73.36/11.00  | | | |   (19)  all_4_8 = e0
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | REDUCE: (6), (19) imply:
% 73.36/11.00  | | | |   (20)  $false
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | CLOSE: (20) is inconsistent.
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | Case 2:
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | |   (21)  all_8_21 = e0
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | COMBINE_EQS: (5), (21) imply:
% 73.36/11.00  | | | |   (22)  e1 = e0
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | SIMP: (22) implies:
% 73.36/11.00  | | | |   (23)  e1 = e0
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | REDUCE: (7), (23) imply:
% 73.36/11.00  | | | |   (24)  $false
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | | CLOSE: (24) is inconsistent.
% 73.36/11.00  | | | | 
% 73.36/11.00  | | | End of split
% 73.36/11.00  | | | 
% 73.36/11.00  | | End of split
% 73.36/11.00  | | 
% 73.36/11.00  | End of split
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #255 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_6_13 = all_4_17
% 73.36/11.00    (2)  all_6_13 = e2
% 73.36/11.00    (3)   ~ (all_4_17 = e2)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.00  |   (4)  all_4_17 = e2
% 73.36/11.00  | 
% 73.36/11.00  | SIMP: (4) implies:
% 73.36/11.00  |   (5)  all_4_17 = e2
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (3), (5) imply:
% 73.36/11.00  |   (6)  $false
% 73.36/11.00  | 
% 73.36/11.00  | CLOSE: (6) is inconsistent.
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #256 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_0 = e3
% 73.36/11.00    (2)  all_8_0 = e2
% 73.36/11.00    (3)   ~ (e3 = e2)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.00  |   (4)  e3 = e2
% 73.36/11.00  | 
% 73.36/11.00  | SIMP: (4) implies:
% 73.36/11.00  |   (5)  e3 = e2
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (3), (5) imply:
% 73.36/11.00  |   (6)  $false
% 73.36/11.00  | 
% 73.36/11.00  | CLOSE: (6) is inconsistent.
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #257 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_13 = e3
% 73.36/11.00    (2)   ~ (e4 = e0)
% 73.36/11.00    (3)  all_8_3 = e4
% 73.36/11.00    (4)   ~ (e3 = e0)
% 73.36/11.00    (5)  all_8_7 = e1
% 73.36/11.00    (6)   ~ (e1 = e0)
% 73.36/11.00    (7)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00    (8)   ~ (all_4_9 = e0)
% 73.36/11.00    (9)  all_8_21 = all_4_9
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | BETA: splitting (7) gives:
% 73.36/11.00  | 
% 73.36/11.00  | Case 1:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (10)  all_8_3 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #276.
% 73.36/11.00  | | 
% 73.36/11.00  | Case 2:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (11)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | BETA: splitting (11) gives:
% 73.36/11.00  | | 
% 73.36/11.00  | | Case 1:
% 73.36/11.00  | | | 
% 73.36/11.00  | | |   (12)  all_8_7 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | COMBINE_EQS: (5), (12) imply:
% 73.36/11.00  | | |   (13)  e1 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | SIMP: (13) implies:
% 73.36/11.00  | | |   (14)  e1 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | REDUCE: (6), (14) imply:
% 73.36/11.00  | | |   (15)  $false
% 73.36/11.00  | | | 
% 73.36/11.00  | | | CLOSE: (15) is inconsistent.
% 73.36/11.00  | | | 
% 73.36/11.00  | | Case 2:
% 73.36/11.00  | | | 
% 73.36/11.00  | | |   (16)  all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00  | | | 
% 73.36/11.00  | | | REF_CLOSE: (1), (4), (8), (9), (16) are inconsistent by sub-proof #258.
% 73.36/11.00  | | | 
% 73.36/11.00  | | End of split
% 73.36/11.00  | | 
% 73.36/11.00  | End of split
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #258 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_13 = e3
% 73.36/11.00    (2)  all_8_13 = e0 | all_8_21 = e0
% 73.36/11.00    (3)   ~ (e3 = e0)
% 73.36/11.00    (4)   ~ (all_4_9 = e0)
% 73.36/11.00    (5)  all_8_21 = all_4_9
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | BETA: splitting (2) gives:
% 73.36/11.00  | 
% 73.36/11.00  | Case 1:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (6)  all_8_13 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | COMBINE_EQS: (1), (6) imply:
% 73.36/11.00  | |   (7)  e3 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | SIMP: (7) implies:
% 73.36/11.00  | |   (8)  e3 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | REDUCE: (3), (8) imply:
% 73.36/11.00  | |   (9)  $false
% 73.36/11.00  | | 
% 73.36/11.00  | | CLOSE: (9) is inconsistent.
% 73.36/11.00  | | 
% 73.36/11.00  | Case 2:
% 73.36/11.00  | | 
% 73.36/11.00  | |   (10)  all_8_21 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | COMBINE_EQS: (5), (10) imply:
% 73.36/11.00  | |   (11)  all_4_9 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | SIMP: (11) implies:
% 73.36/11.00  | |   (12)  all_4_9 = e0
% 73.36/11.00  | | 
% 73.36/11.00  | | REDUCE: (4), (12) imply:
% 73.36/11.00  | |   (13)  $false
% 73.36/11.00  | | 
% 73.36/11.00  | | CLOSE: (13) is inconsistent.
% 73.36/11.00  | | 
% 73.36/11.00  | End of split
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #259 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_3 = e4
% 73.36/11.00    (2)  all_8_3 = e1
% 73.36/11.00    (3)   ~ (e4 = e1)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.00  |   (4)  e4 = e1
% 73.36/11.00  | 
% 73.36/11.00  | SIMP: (4) implies:
% 73.36/11.00  |   (5)  e4 = e1
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (3), (5) imply:
% 73.36/11.00  |   (6)  $false
% 73.36/11.00  | 
% 73.36/11.00  | CLOSE: (6) is inconsistent.
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #260 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_8_1 = all_4_5
% 73.36/11.00    (2)  all_8_1 = e4
% 73.36/11.00    (3)   ~ (all_4_5 = e4)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.00  |   (4)  all_4_5 = e4
% 73.36/11.00  | 
% 73.36/11.00  | SIMP: (4) implies:
% 73.36/11.00  |   (5)  all_4_5 = e4
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (3), (5) imply:
% 73.36/11.00  |   (6)  $false
% 73.36/11.00  | 
% 73.36/11.00  | CLOSE: (6) is inconsistent.
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #261 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  all_6_20 = all_4_4
% 73.36/11.00    (2)  all_6_20 = e3
% 73.36/11.00    (3)   ~ (all_4_4 = e3)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.00  |   (4)  all_4_4 = e3
% 73.36/11.00  | 
% 73.36/11.00  | SIMP: (4) implies:
% 73.36/11.00  |   (5)  all_4_4 = e3
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (3), (5) imply:
% 73.36/11.00  |   (6)  $false
% 73.36/11.00  | 
% 73.36/11.00  | CLOSE: (6) is inconsistent.
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #262 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.00    (1)  unit = e3
% 73.36/11.00    (2)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 73.36/11.00           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 73.36/11.00    (3)  op(unit, e2) = e2
% 73.36/11.00    (4)  op(e3, e2) = e1
% 73.36/11.00    (5)   ~ (e2 = e1)
% 73.36/11.00  
% 73.36/11.00  Begin of proof
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (1), (3) imply:
% 73.36/11.00  |   (6)  op(e3, e2) = e2
% 73.36/11.00  | 
% 73.36/11.00  | GROUND_INST: instantiating (2) with e1, e2, e2, e3, simplifying with (4), (6)
% 73.36/11.00  |              gives:
% 73.36/11.00  |   (7)  e2 = e1
% 73.36/11.00  | 
% 73.36/11.00  | REDUCE: (5), (7) imply:
% 73.36/11.00  |   (8)  $false
% 73.36/11.00  | 
% 73.36/11.00  | CLOSE: (8) is inconsistent.
% 73.36/11.00  | 
% 73.36/11.00  End of proof
% 73.36/11.00  
% 73.36/11.00  Sub-proof #263 shows that the following formulas are inconsistent:
% 73.36/11.00  ----------------------------------------------------------------
% 73.36/11.01    (1)  all_6_1 = all_4_5
% 73.36/11.01    (2)  all_6_1 = e3
% 73.36/11.01    (3)   ~ (all_4_5 = e3)
% 73.36/11.01  
% 73.36/11.01  Begin of proof
% 73.36/11.01  | 
% 73.36/11.01  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.01  |   (4)  all_4_5 = e3
% 73.36/11.01  | 
% 73.36/11.01  | SIMP: (4) implies:
% 73.36/11.01  |   (5)  all_4_5 = e3
% 73.36/11.01  | 
% 73.36/11.01  | REDUCE: (3), (5) imply:
% 73.36/11.01  |   (6)  $false
% 73.36/11.01  | 
% 73.36/11.01  | CLOSE: (6) is inconsistent.
% 73.36/11.01  | 
% 73.36/11.01  End of proof
% 73.36/11.01  
% 73.36/11.01  Sub-proof #264 shows that the following formulas are inconsistent:
% 73.36/11.01  ----------------------------------------------------------------
% 73.36/11.01    (1)  all_6_13 = all_4_17
% 73.36/11.01    (2)  all_6_13 = e3
% 73.36/11.01    (3)   ~ (all_4_17 = e3)
% 73.36/11.01  
% 73.36/11.01  Begin of proof
% 73.36/11.02  | 
% 73.36/11.02  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.02  |   (4)  all_4_17 = e3
% 73.36/11.02  | 
% 73.36/11.02  | SIMP: (4) implies:
% 73.36/11.02  |   (5)  all_4_17 = e3
% 73.36/11.02  | 
% 73.36/11.02  | REDUCE: (3), (5) imply:
% 73.36/11.02  |   (6)  $false
% 73.36/11.02  | 
% 73.36/11.02  | CLOSE: (6) is inconsistent.
% 73.36/11.02  | 
% 73.36/11.02  End of proof
% 73.36/11.02  
% 73.36/11.02  Sub-proof #265 shows that the following formulas are inconsistent:
% 73.36/11.02  ----------------------------------------------------------------
% 73.36/11.02    (1)  all_8_12 = all_4_3
% 73.36/11.02    (2)  all_8_12 = e3
% 73.36/11.02    (3)   ~ (all_4_3 = e3)
% 73.36/11.02  
% 73.36/11.02  Begin of proof
% 73.36/11.02  | 
% 73.36/11.02  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.02  |   (4)  all_4_3 = e3
% 73.36/11.02  | 
% 73.36/11.02  | SIMP: (4) implies:
% 73.36/11.02  |   (5)  all_4_3 = e3
% 73.36/11.02  | 
% 73.36/11.02  | REDUCE: (3), (5) imply:
% 73.36/11.02  |   (6)  $false
% 73.36/11.02  | 
% 73.36/11.02  | CLOSE: (6) is inconsistent.
% 73.36/11.02  | 
% 73.36/11.02  End of proof
% 73.36/11.02  
% 73.36/11.02  Sub-proof #266 shows that the following formulas are inconsistent:
% 73.36/11.02  ----------------------------------------------------------------
% 73.36/11.02    (1)  all_8_11 = all_4_17
% 73.36/11.02    (2)  all_8_11 = e3
% 73.36/11.02    (3)   ~ (all_4_17 = e3)
% 73.36/11.02  
% 73.36/11.02  Begin of proof
% 73.36/11.02  | 
% 73.36/11.02  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.02  |   (4)  all_4_17 = e3
% 73.36/11.02  | 
% 73.36/11.02  | SIMP: (4) implies:
% 73.36/11.02  |   (5)  all_4_17 = e3
% 73.36/11.02  | 
% 73.36/11.02  | REDUCE: (3), (5) imply:
% 73.36/11.02  |   (6)  $false
% 73.36/11.02  | 
% 73.36/11.02  | CLOSE: (6) is inconsistent.
% 73.36/11.02  | 
% 73.36/11.02  End of proof
% 73.36/11.02  
% 73.36/11.02  Sub-proof #267 shows that the following formulas are inconsistent:
% 73.36/11.02  ----------------------------------------------------------------
% 73.36/11.02    (1)  all_8_9 = all_4_15
% 73.36/11.02    (2)  all_8_9 = e3
% 73.36/11.02    (3)   ~ (all_4_15 = e3)
% 73.36/11.02  
% 73.36/11.02  Begin of proof
% 73.36/11.02  | 
% 73.36/11.02  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.02  |   (4)  all_4_15 = e3
% 73.36/11.02  | 
% 73.36/11.02  | SIMP: (4) implies:
% 73.36/11.02  |   (5)  all_4_15 = e3
% 73.36/11.02  | 
% 73.36/11.02  | REDUCE: (3), (5) imply:
% 73.36/11.02  |   (6)  $false
% 73.36/11.02  | 
% 73.36/11.02  | CLOSE: (6) is inconsistent.
% 73.36/11.02  | 
% 73.36/11.02  End of proof
% 73.36/11.02  
% 73.36/11.02  Sub-proof #268 shows that the following formulas are inconsistent:
% 73.36/11.02  ----------------------------------------------------------------
% 73.36/11.02    (1)  all_10_6 = e4
% 73.36/11.02    (2)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 73.36/11.02         e0
% 73.36/11.02    (3)  all_8_2 = e0
% 73.36/11.02    (4)  all_10_5 = all_4_1
% 73.36/11.02    (5)   ~ (all_4_21 = e4)
% 73.36/11.02    (6)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 73.36/11.02         e2
% 73.36/11.02    (7)   ~ (e4 = e0)
% 73.36/11.02    (8)  all_8_3 = e4
% 73.36/11.02    (9)   ~ (all_4_1 = e1)
% 73.36/11.02    (10)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 73.36/11.02                = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 & 
% 73.36/11.02                ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit
% 73.36/11.02                  = e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit =
% 73.36/11.02                  e4))) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 73.36/11.02                e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 73.36/11.02              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 73.36/11.02                = e1 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 & 
% 73.36/11.02                ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 73.36/11.02              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.02              (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/11.02              (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 73.36/11.02              (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 73.36/11.02              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 73.36/11.02              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 73.36/11.02              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 73.36/11.02              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 73.36/11.02              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 73.36/11.02                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 73.36/11.02            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/11.02              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 73.36/11.02              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 73.36/11.02              (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1
% 73.36/11.02                = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 & 
% 73.36/11.02                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit
% 73.36/11.02                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit =
% 73.36/11.02                  e3))) & ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3)))
% 73.36/11.02            & ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 73.36/11.02              (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6
% 73.36/11.02                = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 & 
% 73.36/11.02                ~ (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~
% 73.36/11.02                (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 73.36/11.02              (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 73.36/11.02              (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/11.02              (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 73.36/11.02              (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 73.36/11.02              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 73.36/11.02              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 73.36/11.02              (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 73.36/11.02              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 73.36/11.02              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 73.36/11.02                = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 73.36/11.02            & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/11.02              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 73.36/11.02              (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1
% 73.36/11.02                = e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) | 
% 73.36/11.02              ~ (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 73.36/11.02                  e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2)))
% 73.36/11.02            & ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~
% 73.36/11.02              (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7
% 73.36/11.02                = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 & 
% 73.36/11.02                ~ (unit = e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit
% 73.36/11.02                  = e2))) & ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit =
% 73.36/11.02                  e2))) & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 73.36/11.02                  e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13
% 73.36/11.02                = e2) | (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2)
% 73.36/11.02              | (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 73.36/11.02              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 73.36/11.02              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 73.36/11.02                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 73.36/11.02            & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 73.36/11.02              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 73.36/11.02              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 73.36/11.02              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 73.36/11.02              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 73.36/11.02              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 73.36/11.02              (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3
% 73.36/11.02                = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 & 
% 73.36/11.02                ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.36/11.02              (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5
% 73.36/11.02                = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 73.36/11.02              (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8
% 73.36/11.02                = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) &
% 73.36/11.02            ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 = e1) |
% 73.36/11.02              (all_10_13 = e0 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 73.36/11.02              (all_10_18 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 73.36/11.02              (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 73.36/11.02              (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit
% 73.36/11.02                = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit = e1)))
% 73.36/11.02            & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.36/11.02              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 73.36/11.02              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 73.36/11.02              (all_10_4 = e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_4
% 73.36/11.02                = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 & 
% 73.36/11.02                ~ (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~ (unit
% 73.36/11.02                  = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5
% 73.36/11.02                = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 73.36/11.02              (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 73.36/11.02                = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) | (all_10_9 = e1 & 
% 73.36/11.02                ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~
% 73.36/11.02              (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 73.36/11.02              (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 73.36/11.02              (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 73.36/11.02              (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.36/11.02              (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 73.36/11.02                = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 73.36/11.02            & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.36/11.02              (all_10_24 = e0) |  ~ (unit = e0)))
% 73.36/11.02    (11)  all_10_8 = e3
% 73.36/11.02    (12)   ~ (e3 = e0)
% 73.36/11.02    (13)  all_8_17 = all_4_21
% 73.36/11.02    (14)   ~ (all_4_1 = e3)
% 73.36/11.02    (15)   ~ (e4 = e2)
% 73.36/11.02    (16)  all_8_2 = all_4_1
% 73.36/11.02    (17)   ~ (e3 = e2)
% 73.36/11.02    (18)   ~ (e1 = e0)
% 73.36/11.02    (19)  all_8_10 = e3
% 73.36/11.02    (20)   ~ (e2 = e1)
% 73.36/11.02    (21)   ~ (all_4_21 = e3)
% 73.36/11.02    (22)  all_10_7 = e1
% 73.36/11.02    (23)  all_10_9 = all_4_21
% 73.36/11.02    (24)  all_8_5 = e1
% 73.36/11.02    (25)   ~ (e2 = e0)
% 73.36/11.02    (26)   ~ (e4 = e1)
% 73.36/11.02  
% 73.36/11.02  Begin of proof
% 73.36/11.02  | 
% 73.36/11.02  | BETA: splitting (6) gives:
% 73.36/11.02  | 
% 73.36/11.02  | Case 1:
% 73.36/11.02  | | 
% 73.36/11.02  | |   (27)  all_8_2 = e2
% 73.36/11.02  | | 
% 73.36/11.02  | | COMBINE_EQS: (3), (27) imply:
% 73.36/11.02  | |   (28)  e2 = e0
% 73.36/11.02  | | 
% 73.36/11.02  | | REDUCE: (25), (28) imply:
% 73.36/11.02  | |   (29)  $false
% 73.36/11.02  | | 
% 73.36/11.02  | | CLOSE: (29) is inconsistent.
% 73.36/11.02  | | 
% 73.36/11.02  | Case 2:
% 73.36/11.02  | | 
% 73.36/11.02  | |   (30)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 73.36/11.02  | | 
% 73.36/11.02  | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (9), (10), (11), (12), (13), (14),
% 73.36/11.02  | |            (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 73.36/11.02  | |            (26), (30) are inconsistent by sub-proof #269.
% 73.36/11.02  | | 
% 73.36/11.02  | End of split
% 73.36/11.02  | 
% 73.36/11.02  End of proof
% 73.36/11.02  
% 73.36/11.02  Sub-proof #269 shows that the following formulas are inconsistent:
% 73.36/11.02  ----------------------------------------------------------------
% 73.36/11.02    (1)  all_10_6 = e4
% 73.36/11.02    (2)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 73.36/11.02         e0
% 73.36/11.02    (3)  all_10_5 = all_4_1
% 73.36/11.02    (4)   ~ (all_4_21 = e4)
% 73.36/11.02    (5)   ~ (e4 = e0)
% 73.36/11.02    (6)  all_8_3 = e4
% 73.36/11.02    (7)   ~ (all_4_1 = e1)
% 73.36/11.02    (8)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4) | (all_10_0
% 73.36/11.02               = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) | (all_10_0 = e2 &  ~
% 73.36/11.02               (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit =
% 73.36/11.02                 e4))) & ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 73.36/11.02           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5
% 73.36/11.02               = e3 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e2 &  ~
% 73.36/11.02               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit =
% 73.36/11.02                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 73.36/11.02           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 73.36/11.02             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 73.36/11.02             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 73.36/11.02             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 73.36/11.02             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 73.36/11.02               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 73.36/11.02           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/11.02             (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 73.36/11.02             (all_10_19 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 73.36/11.02             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 73.36/11.02             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 73.36/11.02             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 73.36/11.02             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 73.36/11.02             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 73.36/11.02             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3) |  ~ (unit =
% 73.36/11.02               e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~ (unit = e3))) & (
% 73.36/11.02             ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & ( ~ (all_10_4
% 73.36/11.02               = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 73.36/11.02             (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |  ~ (unit =
% 73.36/11.02               e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~ (unit = e3))) & (
% 73.36/11.02             ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9
% 73.36/11.02               = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~ (all_10_10 = e3) |
% 73.36/11.02             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 73.36/11.02               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e2 &  ~ (unit = e3)))
% 73.36/11.02           & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/11.02             (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 73.36/11.02             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 73.36/11.02             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 73.36/11.02             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 73.36/11.02             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 73.36/11.02             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 73.36/11.02             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 73.36/11.02               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 73.36/11.02           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 73.36/11.02             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~
% 73.36/11.02             (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & ( ~ (all_10_1 =
% 73.36/11.02               e2) | (all_10_2 = e3 &  ~ (unit = e2))) & ( ~ (all_10_2 = e2) |  ~
% 73.36/11.02             (unit = e2)) & ( ~ (all_10_3 = e2) | (all_10_2 = e1 &  ~ (unit =
% 73.36/11.02                 e2))) & ( ~ (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) &
% 73.36/11.02           ( ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6
% 73.36/11.02               = e2) | (all_10_7 = e3 &  ~ (unit = e2))) & ( ~ (all_10_7 = e2) | 
% 73.36/11.02             ~ (unit = e2)) & ( ~ (all_10_8 = e2) | (all_10_7 = e1 &  ~ (unit =
% 73.36/11.02                 e2))) & ( ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) &
% 73.36/11.02           ( ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2))) & ( ~
% 73.36/11.02             (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit = e2))) & ( ~
% 73.36/11.02             (all_10_12 = e2) |  ~ (unit = e2)) & ( ~ (all_10_13 = e2) |
% 73.36/11.02             (all_10_12 = e1 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 73.36/11.02             (all_10_12 = e0 &  ~ (unit = e2))) & ( ~ (all_10_15 = e2) |
% 73.36/11.02             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 73.36/11.02             (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 73.36/11.02               = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit = e2)))
% 73.36/11.02           & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 73.36/11.02             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 73.36/11.02             (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 73.36/11.02             (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 73.36/11.02             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 73.36/11.02             (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 73.36/11.02             (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_3 =
% 73.36/11.02               e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 73.36/11.02               (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & ( ~
% 73.36/11.02             (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 =
% 73.36/11.02               e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 73.36/11.02             (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 =
% 73.36/11.02               e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~
% 73.36/11.02             (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10
% 73.36/11.02               = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 73.36/11.02             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 73.36/11.02             (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit
% 73.36/11.02               = e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1)))
% 73.36/11.02           & ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.02             (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~
% 73.36/11.02             (all_10_17 = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~
% 73.36/11.02             (all_10_18 = e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 73.36/11.02             (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 = e1) |
% 73.36/11.02             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 73.36/11.02             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 73.36/11.02             (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 73.36/11.02               = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit = e1))))
% 73.36/11.02         | (( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 =
% 73.36/11.02               e0) | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |
% 73.36/11.02             (all_10_4 = e1 &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 73.36/11.02               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))) & (
% 73.36/11.02             ~ (all_10_6 = e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~ (all_10_7
% 73.36/11.02               = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 73.36/11.02             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 = e0) |  ~ (unit =
% 73.36/11.02               e0)) & ( ~ (all_10_10 = e0) | (all_10_14 = e4 &  ~ (unit = e0))) &
% 73.36/11.02           ( ~ (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_14 = e0) |  ~ (unit = e0)) & ( ~ (all_10_15 = e0) |
% 73.36/11.02             (all_10_19 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 73.36/11.02             (all_10_19 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 73.36/11.02             (all_10_19 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.36/11.02             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit
% 73.36/11.02               = e0)) & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0)))
% 73.36/11.02           & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 73.36/11.02             (all_10_24 = e0) |  ~ (unit = e0)))
% 73.36/11.02    (9)  all_10_8 = e3
% 73.36/11.02    (10)   ~ (e3 = e0)
% 73.36/11.02    (11)  all_8_17 = all_4_21
% 73.36/11.02    (12)   ~ (all_4_1 = e3)
% 73.36/11.02    (13)   ~ (e4 = e2)
% 73.36/11.02    (14)  all_8_2 = all_4_1
% 73.36/11.02    (15)   ~ (e3 = e2)
% 73.36/11.02    (16)   ~ (e1 = e0)
% 73.36/11.02    (17)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 73.36/11.02    (18)  all_8_10 = e3
% 73.36/11.02    (19)   ~ (e2 = e1)
% 73.36/11.02    (20)   ~ (all_4_21 = e3)
% 73.36/11.02    (21)  all_10_7 = e1
% 73.36/11.02    (22)  all_10_9 = all_4_21
% 73.36/11.02    (23)  all_8_5 = e1
% 73.36/11.02    (24)   ~ (e2 = e0)
% 73.36/11.02    (25)   ~ (e4 = e1)
% 73.36/11.02  
% 73.36/11.02  Begin of proof
% 73.36/11.02  | 
% 73.36/11.02  | BETA: splitting (17) gives:
% 73.36/11.02  | 
% 73.36/11.02  | Case 1:
% 73.36/11.02  | | 
% 73.36/11.02  | |   (26)  all_8_3 = e2
% 73.36/11.02  | | 
% 73.36/11.02  | | REF_CLOSE: (6), (13), (26) are inconsistent by sub-proof #275.
% 73.36/11.02  | | 
% 73.36/11.02  | Case 2:
% 73.36/11.02  | | 
% 73.36/11.02  | |   (27)  all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 73.36/11.02  | | 
% 73.36/11.02  | | BETA: splitting (27) gives:
% 73.36/11.02  | | 
% 73.36/11.02  | | Case 1:
% 73.36/11.02  | | | 
% 73.36/11.02  | | |   (28)  all_8_5 = e2
% 73.36/11.02  | | | 
% 73.36/11.02  | | | COMBINE_EQS: (23), (28) imply:
% 73.36/11.02  | | |   (29)  e2 = e1
% 73.36/11.02  | | | 
% 73.36/11.02  | | | REDUCE: (19), (29) imply:
% 73.36/11.02  | | |   (30)  $false
% 73.36/11.02  | | | 
% 73.36/11.02  | | | CLOSE: (30) is inconsistent.
% 73.36/11.02  | | | 
% 73.36/11.02  | | Case 2:
% 73.36/11.02  | | | 
% 73.36/11.02  | | |   (31)  all_8_10 = e2 | all_8_17 = e2
% 73.36/11.02  | | | 
% 73.36/11.02  | | | BETA: splitting (31) gives:
% 73.36/11.02  | | | 
% 73.36/11.02  | | | Case 1:
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | |   (32)  all_8_10 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | COMBINE_EQS: (18), (32) imply:
% 73.36/11.02  | | | |   (33)  e3 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | SIMP: (33) implies:
% 73.36/11.02  | | | |   (34)  e3 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | REDUCE: (15), (34) imply:
% 73.36/11.02  | | | |   (35)  $false
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | CLOSE: (35) is inconsistent.
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | Case 2:
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | |   (36)  all_8_17 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | COMBINE_EQS: (11), (36) imply:
% 73.36/11.02  | | | |   (37)  all_4_21 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | SIMP: (37) implies:
% 73.36/11.02  | | | |   (38)  all_4_21 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | COMBINE_EQS: (22), (38) imply:
% 73.36/11.02  | | | |   (39)  all_10_9 = e2
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | REDUCE: (4), (38) imply:
% 73.36/11.02  | | | |   (40)   ~ (e4 = e2)
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | REDUCE: (20), (38) imply:
% 73.36/11.02  | | | |   (41)   ~ (e3 = e2)
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | BETA: splitting (2) gives:
% 73.36/11.02  | | | | 
% 73.36/11.02  | | | | Case 1:
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | |   (42)  all_8_2 = e0
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | COMBINE_EQS: (14), (42) imply:
% 73.36/11.02  | | | | |   (43)  all_4_1 = e0
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | SIMP: (43) implies:
% 73.36/11.02  | | | | |   (44)  all_4_1 = e0
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | COMBINE_EQS: (3), (44) imply:
% 73.36/11.02  | | | | |   (45)  all_10_5 = e0
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | REDUCE: (12), (44) imply:
% 73.36/11.02  | | | | |   (46)   ~ (e3 = e0)
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | REDUCE: (7), (44) imply:
% 73.36/11.02  | | | | |   (47)   ~ (e1 = e0)
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | BETA: splitting (8) gives:
% 73.36/11.02  | | | | | 
% 73.36/11.02  | | | | | Case 1:
% 73.36/11.02  | | | | | | 
% 73.36/11.02  | | | | | |   (48)  (( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 = e4)
% 73.36/11.02  | | | | | |             | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~ (all_10_2 =
% 73.36/11.02  | | | | | |               e4) | (all_10_0 = e2 &  ~ (unit = e4))) & ( ~
% 73.36/11.02  | | | | | |             (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4))) & (
% 73.36/11.02  | | | | | |             ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 73.36/11.02  | | | | | |               e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.02  | | | | | |             (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit = e4))) & (
% 73.36/11.02  | | | | | |             ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 =
% 73.36/11.02  | | | | | |               e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.02  | | | | | |             (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4)))
% 73.36/11.02  | | | | | |           & ( ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit =
% 73.36/11.02  | | | | | |                 e4))) & ( ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~
% 73.36/11.02  | | | | | |             (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4)))
% 73.36/11.02  | | | | | |           & ( ~ (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 73.36/11.02  | | | | | |                 e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 &  ~
% 73.36/11.02  | | | | | |               (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit = e4))
% 73.36/11.02  | | | | | |           & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 73.36/11.02  | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~
% 73.36/11.02  | | | | | |               (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1
% 73.36/11.02  | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20
% 73.36/11.02  | | | | | |               = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |
% 73.36/11.02  | | | | | |             (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 = e3)
% 73.36/11.02  | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2
% 73.36/11.02  | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 =
% 73.36/11.02  | | | | | |               e1 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 73.36/11.02  | | | | | |             (all_10_1 = e0 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3)
% 73.36/11.02  | | | | | |             | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 =
% 73.36/11.02  | | | | | |               e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) |
% 73.36/11.02  | | | | | |             (all_10_6 = e2 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3)
% 73.36/11.02  | | | | | |             | (all_10_6 = e1 &  ~ (unit = e3))) & ( ~ (all_10_9 =
% 73.36/11.02  | | | | | |               e3) | (all_10_6 = e0 &  ~ (unit = e3))) & ( ~
% 73.36/11.02  | | | | | |             (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 =
% 73.36/11.02  | | | | | |               e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 73.36/11.02  | | | | | |             (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3)))
% 73.36/11.02  | | | | | |           & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit =
% 73.36/11.02  | | | | | |                 e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 73.36/11.02  | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | |           ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit = e3)))
% 73.36/11.02  | | | | | |           & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 73.36/11.02  | | | | | |                 e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~
% 73.36/11.02  | | | | | |               (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3))
% 73.36/11.02  | | | | | |           & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 73.36/11.02  | | | | | |                 e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~
% 73.36/11.02  | | | | | |               (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0
% 73.36/11.02  | | | | | |               &  ~ (unit = e3))))
% 73.36/11.02  | | | | | | 
% 73.36/11.02  | | | | | | BETA: splitting (48) gives:
% 73.36/11.02  | | | | | | 
% 73.36/11.02  | | | | | | Case 1:
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | |   (49)  ( ~ (all_10_0 = e4) |  ~ (unit = e4)) & ( ~ (all_10_1 =
% 73.36/11.02  | | | | | | |             e4) | (all_10_0 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_2 = e4) | (all_10_0 = e2 &  ~ (unit = e4))) & (
% 73.36/11.02  | | | | | | |           ~ (all_10_3 = e4) | (all_10_0 = e1 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_4 = e4) | (all_10_0 = e0 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 73.36/11.02  | | | | | | |             e4) | (all_10_5 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_7 = e4) | (all_10_5 = e2 &  ~ (unit = e4))) & (
% 73.36/11.02  | | | | | | |           ~ (all_10_8 = e4) | (all_10_5 = e1 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_9 = e4) | (all_10_5 = e0 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 =
% 73.36/11.02  | | | | | | |             e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_12 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_13 = e4) | (all_10_10 = e1 &  ~ (unit = e4)))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_14 = e4) | (all_10_10 = e0 &  ~ (unit =
% 73.36/11.02  | | | | | | |               e4))) & ( ~ (all_10_15 = e4) |  ~ (unit = e4)) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4)))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_18 = e4) | (all_10_15 = e1 &  ~ (unit =
% 73.36/11.02  | | | | | | |               e4))) & ( ~ (all_10_19 = e4) | (all_10_15 = e0 &  ~
% 73.36/11.02  | | | | | | |             (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit = e4))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 73.36/11.02  | | | | | | |               e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~
% 73.36/11.02  | | | | | | |             (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1
% 73.36/11.02  | | | | | | |             &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20
% 73.36/11.02  | | | | | | |             = e0 &  ~ (unit = e4)))
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | | ALPHA: (49) implies:
% 73.36/11.02  | | | | | | |   (50)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | | REF_CLOSE: (1), (10), (45), (50) are inconsistent by sub-proof
% 73.36/11.02  | | | | | | |            #274.
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | Case 2:
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | |   (51)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_1 = e3) |  ~ (unit = e3)) & ( ~ (all_10_2 =
% 73.36/11.02  | | | | | | |             e3) | (all_10_1 = e2 &  ~ (unit = e3))) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit = e3))) & (
% 73.36/11.02  | | | | | | |           ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_6 = e3) |  ~ (unit = e3)) & ( ~ (all_10_7 =
% 73.36/11.02  | | | | | | |             e3) | (all_10_6 = e2 &  ~ (unit = e3))) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))) & (
% 73.36/11.02  | | | | | | |           ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3)))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12
% 73.36/11.02  | | | | | | |             = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_13 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit = e3)))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit =
% 73.36/11.02  | | | | | | |               e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 73.36/11.02  | | | | | | |           (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) &
% 73.36/11.02  | | | | | | |         ( ~ (all_10_18 = e3) | (all_10_16 = e1 &  ~ (unit = e3)))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~ (unit =
% 73.36/11.02  | | | | | | |               e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~
% 73.36/11.02  | | | | | | |             (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3))
% 73.36/11.02  | | | | | | |         & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 73.36/11.02  | | | | | | |               e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~
% 73.36/11.02  | | | | | | |             (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0
% 73.36/11.02  | | | | | | |             &  ~ (unit = e3)))
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | | REF_CLOSE: (1), (9), (25), (51) are inconsistent by sub-proof
% 73.36/11.02  | | | | | | |            #273.
% 73.36/11.02  | | | | | | | 
% 73.36/11.02  | | | | | | End of split
% 73.36/11.02  | | | | | | 
% 73.36/11.02  | | | | | Case 2:
% 73.36/11.02  | | | | | | 
% 73.36/11.03  | | | | | |   (52)  (( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) & (
% 73.36/11.03  | | | | | |             ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 =
% 73.36/11.03  | | | | | |               e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) & (
% 73.36/11.03  | | | | | |             ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 73.36/11.03  | | | | | |               e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) & (
% 73.36/11.03  | | | | | |             ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2)))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 73.36/11.03  | | | | | |             (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2)))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~
% 73.36/11.03  | | | | | |               (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~
% 73.36/11.03  | | | | | |               (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4
% 73.36/11.03  | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22
% 73.36/11.03  | | | | | |               = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 73.36/11.03  | | | | | |             (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 & 
% 73.36/11.03  | | | | | |               ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 73.36/11.03  | | | | | |               e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 73.36/11.03  | | | | | |             (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1)
% 73.36/11.03  | | | | | |             | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 =
% 73.36/11.03  | | | | | |               e1) | (all_10_3 = e2 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_3 = e1) |  ~ (unit = e1)) & ( ~ (all_10_4 = e1)
% 73.36/11.03  | | | | | |             | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~ (all_10_5 =
% 73.36/11.03  | | | | | |               e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_6 = e1) | (all_10_8 = e3 &  ~ (unit = e1))) & (
% 73.36/11.03  | | | | | |             ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_8 = e1) |  ~ (unit = e1)) & ( ~ (all_10_9 =
% 73.36/11.03  | | | | | |               e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & ( ~
% 73.36/11.03  | | | | | |             (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 &  ~
% 73.36/11.03  | | | | | |               (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit = e1))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~
% 73.36/11.03  | | | | | |               (unit = e1))) & ( ~ (all_10_21 = e1) | (all_10_23 = e3
% 73.36/11.03  | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) | (all_10_23
% 73.36/11.03  | | | | | |               = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 73.36/11.03  | | | | | |             (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 & 
% 73.36/11.03  | | | | | |               ~ (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_4 =
% 73.36/11.03  | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 73.36/11.03  | | | | | |             (all_10_4 = e3 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0)
% 73.36/11.03  | | | | | |             | (all_10_4 = e2 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 73.36/11.03  | | | | | |               e0) | (all_10_4 = e1 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_4 = e0) |  ~ (unit = e0)) & ( ~ (all_10_5 = e0)
% 73.36/11.03  | | | | | |             | (all_10_9 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 =
% 73.36/11.03  | | | | | |               e0) | (all_10_9 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_7 = e0) | (all_10_9 = e2 &  ~ (unit = e0))) & (
% 73.36/11.03  | | | | | |             ~ (all_10_8 = e0) | (all_10_9 = e1 &  ~ (unit = e0))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_9 = e0) |  ~ (unit = e0)) & ( ~ (all_10_10 =
% 73.36/11.03  | | | | | |               e0) | (all_10_14 = e4 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | |             (all_10_11 = e0) | (all_10_14 = e3 &  ~ (unit = e0))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & ( ~
% 73.36/11.03  | | | | | |             (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit = e0))) &
% 73.36/11.03  | | | | | |           ( ~ (all_10_16 = e0) | (all_10_19 = e3 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_17 = e0) | (all_10_19 = e2 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e0))) & ( ~ (all_10_18 = e0) | (all_10_19 = e1 &  ~
% 73.36/11.03  | | | | | |               (unit = e0))) & ( ~ (all_10_19 = e0) |  ~ (unit = e0))
% 73.36/11.03  | | | | | |           & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit =
% 73.36/11.03  | | | | | |                 e0))) & ( ~ (all_10_21 = e0) | (all_10_24 = e3 &  ~
% 73.36/11.03  | | | | | |               (unit = e0))) & ( ~ (all_10_22 = e0) | (all_10_24 = e2
% 73.36/11.03  | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_23 = e0) | (all_10_24
% 73.36/11.03  | | | | | |               = e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |  ~
% 73.36/11.03  | | | | | |             (unit = e0)))
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | | BETA: splitting (52) gives:
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | | Case 1:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | |   (53)  ( ~ (all_10_0 = e2) | (all_10_2 = e4 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | | |         ( ~ (all_10_1 = e2) | (all_10_2 = e3 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | | |         ( ~ (all_10_2 = e2) |  ~ (unit = e2)) & ( ~ (all_10_3 =
% 73.36/11.03  | | | | | | |             e2) | (all_10_2 = e1 &  ~ (unit = e2))) & ( ~
% 73.36/11.03  | | | | | | |           (all_10_4 = e2) | (all_10_2 = e0 &  ~ (unit = e2))) & (
% 73.36/11.03  | | | | | | |           ~ (all_10_5 = e2) | (all_10_7 = e4 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | | |         ( ~ (all_10_6 = e2) | (all_10_7 = e3 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | | |         ( ~ (all_10_7 = e2) |  ~ (unit = e2)) & ( ~ (all_10_8 =
% 73.36/11.03  | | | | | | |             e2) | (all_10_7 = e1 &  ~ (unit = e2))) & ( ~
% 73.36/11.03  | | | | | | |           (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))) & (
% 73.36/11.03  | | | | | | |           ~ (all_10_10 = e2) | (all_10_12 = e4 &  ~ (unit = e2)))
% 73.36/11.03  | | | | | | |         & ( ~ (all_10_11 = e2) | (all_10_12 = e3 &  ~ (unit =
% 73.36/11.03  | | | | | | |               e2))) & ( ~ (all_10_12 = e2) |  ~ (unit = e2)) & ( ~
% 73.36/11.03  | | | | | | |           (all_10_13 = e2) | (all_10_12 = e1 &  ~ (unit = e2))) &
% 73.36/11.03  | | | | | | |         ( ~ (all_10_14 = e2) | (all_10_12 = e0 &  ~ (unit = e2)))
% 73.36/11.03  | | | | | | |         & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 73.36/11.03  | | | | | | |               e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~
% 73.36/11.03  | | | | | | |             (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2))
% 73.36/11.03  | | | | | | |         & ( ~ (all_10_18 = e2) | (all_10_17 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | | |               e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e0 &  ~
% 73.36/11.03  | | | | | | |             (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4
% 73.36/11.03  | | | | | | |             &  ~ (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22
% 73.36/11.03  | | | | | | |             = e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |  ~
% 73.36/11.03  | | | | | | |           (unit = e2)) & ( ~ (all_10_23 = e2) | (all_10_22 = e1 & 
% 73.36/11.03  | | | | | | |             ~ (unit = e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 73.36/11.03  | | | | | | |             e0 &  ~ (unit = e2)))
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | ALPHA: (53) implies:
% 73.36/11.03  | | | | | | |   (54)   ~ (all_10_9 = e2) | (all_10_7 = e0 &  ~ (unit = e2))
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | BETA: splitting (54) gives:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | Case 1:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | |   (55)   ~ (all_10_9 = e2)
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | REDUCE: (39), (55) imply:
% 73.36/11.03  | | | | | | | |   (56)  $false
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | CLOSE: (56) is inconsistent.
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | Case 2:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | |   (57)  all_10_7 = e0 &  ~ (unit = e2)
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | ALPHA: (57) implies:
% 73.36/11.03  | | | | | | | |   (58)  all_10_7 = e0
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | COMBINE_EQS: (21), (58) imply:
% 73.36/11.03  | | | | | | | |   (59)  e1 = e0
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | REDUCE: (16), (59) imply:
% 73.36/11.03  | | | | | | | |   (60)  $false
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | CLOSE: (60) is inconsistent.
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | End of split
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | Case 2:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | |   (61)  (( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) &
% 73.36/11.03  | | | | | | |           ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | | |           & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e1))) & ( ~ (all_10_3 = e1) |  ~ (unit = e1)) & (
% 73.36/11.03  | | | | | | |             ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | | |           & ( ~ (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_8 = e3 &  ~
% 73.36/11.03  | | | | | | |               (unit = e1))) & ( ~ (all_10_7 = e1) | (all_10_8 = e2
% 73.36/11.03  | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit
% 73.36/11.03  | | | | | | |               = e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~
% 73.36/11.03  | | | | | | |               (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_13 =
% 73.36/11.03  | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 73.36/11.03  | | | | | | |             (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 =
% 73.36/11.03  | | | | | | |               e1) | (all_10_13 = e2 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | | |             (all_10_13 = e1) |  ~ (unit = e1)) & ( ~ (all_10_14 =
% 73.36/11.03  | | | | | | |               e1) | (all_10_13 = e0 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | | |             (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | | |           & ( ~ (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e1))) & ( ~ (all_10_17 = e1) | (all_10_18 = e2 & 
% 73.36/11.03  | | | | | | |               ~ (unit = e1))) & ( ~ (all_10_18 = e1) |  ~ (unit =
% 73.36/11.03  | | | | | | |               e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~
% 73.36/11.03  | | | | | | |               (unit = e1))) & ( ~ (all_10_20 = e1) | (all_10_23 =
% 73.36/11.03  | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 73.36/11.03  | | | | | | |             (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 =
% 73.36/11.03  | | | | | | |               e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | | |             (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 =
% 73.36/11.03  | | | | | | |               e1) | (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~
% 73.36/11.03  | | | | | | |             (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0))) &
% 73.36/11.03  | | | | | | |           ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | | |           & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1 &  ~
% 73.36/11.03  | | | | | | |               (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit =
% 73.36/11.03  | | | | | | |               e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~
% 73.36/11.03  | | | | | | |               (unit = e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3
% 73.36/11.03  | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 73.36/11.03  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 73.36/11.03  | | | | | | |             (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 =
% 73.36/11.03  | | | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 73.36/11.03  | | | | | | |             (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 73.36/11.03  | | | | | | |               e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | | |             (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | | |           & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 73.36/11.03  | | | | | | |             ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 & 
% 73.36/11.03  | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19
% 73.36/11.03  | | | | | | |               = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.36/11.03  | | | | | | |             (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 73.36/11.03  | | | | | | |               e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 73.36/11.03  | | | | | | |             (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 =
% 73.36/11.03  | | | | | | |               e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | | |           & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | | |                 e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0)))
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | BETA: splitting (61) gives:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | Case 1:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | |   (62)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | | | |         & ( ~ (all_10_1 = e1) | (all_10_3 = e3 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e1))) & ( ~ (all_10_2 = e1) | (all_10_3 = e2 &  ~
% 73.36/11.03  | | | | | | | |             (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 73.36/11.03  | | | | | | | |             e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~
% 73.36/11.03  | | | | | | | |             (unit = e1))) & ( ~ (all_10_5 = e1) | (all_10_8 = e4
% 73.36/11.03  | | | | | | | |             &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) | (all_10_8
% 73.36/11.03  | | | | | | | |             = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 73.36/11.03  | | | | | | | |           (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 =
% 73.36/11.03  | | | | | | | |             e1) |  ~ (unit = e1)) & ( ~ (all_10_9 = e1) |
% 73.36/11.03  | | | | | | | |           (all_10_8 = e0 &  ~ (unit = e1))) & ( ~ (all_10_10 =
% 73.36/11.03  | | | | | | | |             e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | | | |           (all_10_11 = e1) | (all_10_13 = e3 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | | | |         & ( ~ (all_10_12 = e1) | (all_10_13 = e2 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e1))) & ( ~ (all_10_13 = e1) |  ~ (unit = e1)) & (
% 73.36/11.03  | | | | | | | |           ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e1))) & ( ~ (all_10_15 = e1) | (all_10_18 = e4 & 
% 73.36/11.03  | | | | | | | |             ~ (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_18
% 73.36/11.03  | | | | | | | |             = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 73.36/11.03  | | | | | | | |           (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 =
% 73.36/11.03  | | | | | | | |             e1) |  ~ (unit = e1)) & ( ~ (all_10_19 = e1) |
% 73.36/11.03  | | | | | | | |           (all_10_18 = e0 &  ~ (unit = e1))) & ( ~ (all_10_20 =
% 73.36/11.03  | | | | | | | |             e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.03  | | | | | | | |           (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1)))
% 73.36/11.03  | | | | | | | |         & ( ~ (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e1))) & ( ~ (all_10_23 = e1) |  ~ (unit = e1)) & (
% 73.36/11.03  | | | | | | | |           ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e1)))
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | REF_CLOSE: (9), (15), (21), (62) are inconsistent by sub-proof
% 73.36/11.03  | | | | | | | |            #272.
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | Case 2:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | |   (63)  ( ~ (all_10_0 = e0) | (all_10_4 = e4 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | | | |         & ( ~ (all_10_1 = e0) | (all_10_4 = e3 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e0))) & ( ~ (all_10_2 = e0) | (all_10_4 = e2 &  ~
% 73.36/11.03  | | | | | | | |             (unit = e0))) & ( ~ (all_10_3 = e0) | (all_10_4 = e1
% 73.36/11.03  | | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_4 = e0) |  ~ (unit
% 73.36/11.03  | | | | | | | |             = e0)) & ( ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~
% 73.36/11.03  | | | | | | | |             (unit = e0))) & ( ~ (all_10_6 = e0) | (all_10_9 = e3
% 73.36/11.03  | | | | | | | |             &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_9
% 73.36/11.03  | | | | | | | |             = e2 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 73.36/11.03  | | | | | | | |           (all_10_9 = e1 &  ~ (unit = e0))) & ( ~ (all_10_9 =
% 73.36/11.03  | | | | | | | |             e0) |  ~ (unit = e0)) & ( ~ (all_10_10 = e0) |
% 73.36/11.03  | | | | | | | |           (all_10_14 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 73.36/11.03  | | | | | | | |             e0) | (all_10_14 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | | | |           (all_10_12 = e0) | (all_10_14 = e2 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | | | |         & ( ~ (all_10_13 = e0) | (all_10_14 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e0))) & ( ~ (all_10_14 = e0) |  ~ (unit = e0)) & (
% 73.36/11.03  | | | | | | | |           ~ (all_10_15 = e0) | (all_10_19 = e4 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e0))) & ( ~ (all_10_16 = e0) | (all_10_19 = e3 & 
% 73.36/11.03  | | | | | | | |             ~ (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_19
% 73.36/11.03  | | | | | | | |             = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |
% 73.36/11.03  | | | | | | | |           (all_10_19 = e1 &  ~ (unit = e0))) & ( ~ (all_10_19 =
% 73.36/11.03  | | | | | | | |             e0) |  ~ (unit = e0)) & ( ~ (all_10_20 = e0) |
% 73.36/11.03  | | | | | | | |           (all_10_24 = e4 &  ~ (unit = e0))) & ( ~ (all_10_21 =
% 73.36/11.03  | | | | | | | |             e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 73.36/11.03  | | | | | | | |           (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0)))
% 73.36/11.03  | | | | | | | |         & ( ~ (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit =
% 73.36/11.03  | | | | | | | |               e0))) & ( ~ (all_10_24 = e0) |  ~ (unit = e0))
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | ALPHA: (63) implies:
% 73.36/11.03  | | | | | | | |   (64)   ~ (all_10_5 = e0) | (all_10_9 = e4 &  ~ (unit = e0))
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | BETA: splitting (64) gives:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | Case 1:
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | |   (65)   ~ (all_10_5 = e0)
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | | REDUCE: (45), (65) imply:
% 73.36/11.03  | | | | | | | | |   (66)  $false
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | | CLOSE: (66) is inconsistent.
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | Case 2:
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | |   (67)  all_10_9 = e4 &  ~ (unit = e0)
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | | ALPHA: (67) implies:
% 73.36/11.03  | | | | | | | | |   (68)  all_10_9 = e4
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | | COMBINE_EQS: (39), (68) imply:
% 73.36/11.03  | | | | | | | | |   (69)  e4 = e2
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | | REDUCE: (13), (69) imply:
% 73.36/11.03  | | | | | | | | |   (70)  $false
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | | CLOSE: (70) is inconsistent.
% 73.36/11.03  | | | | | | | | | 
% 73.36/11.03  | | | | | | | | End of split
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | End of split
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | End of split
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | End of split
% 73.36/11.03  | | | | | 
% 73.36/11.03  | | | | Case 2:
% 73.36/11.03  | | | | | 
% 73.36/11.03  | | | | |   (71)  all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 73.36/11.03  | | | | | 
% 73.36/11.03  | | | | | BETA: splitting (71) gives:
% 73.36/11.03  | | | | | 
% 73.36/11.03  | | | | | Case 1:
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | |   (72)  all_8_3 = e0
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | | REF_CLOSE: (5), (6), (72) are inconsistent by sub-proof #276.
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | Case 2:
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | |   (73)  all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | | BETA: splitting (73) gives:
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | | Case 1:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | |   (74)  all_8_5 = e0
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | REF_CLOSE: (16), (23), (74) are inconsistent by sub-proof #271.
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | Case 2:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | |   (75)  all_8_10 = e0 | all_8_17 = e0
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | BETA: splitting (75) gives:
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | | Case 1:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | |   (76)  all_8_10 = e0
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | REF_CLOSE: (10), (18), (76) are inconsistent by sub-proof #270.
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | Case 2:
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | |   (77)  all_8_17 = e0
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | COMBINE_EQS: (36), (77) imply:
% 73.36/11.03  | | | | | | | |   (78)  e2 = e0
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | SIMP: (78) implies:
% 73.36/11.03  | | | | | | | |   (79)  e2 = e0
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | REDUCE: (24), (79) imply:
% 73.36/11.03  | | | | | | | |   (80)  $false
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | | CLOSE: (80) is inconsistent.
% 73.36/11.03  | | | | | | | | 
% 73.36/11.03  | | | | | | | End of split
% 73.36/11.03  | | | | | | | 
% 73.36/11.03  | | | | | | End of split
% 73.36/11.03  | | | | | | 
% 73.36/11.03  | | | | | End of split
% 73.36/11.03  | | | | | 
% 73.36/11.03  | | | | End of split
% 73.36/11.03  | | | | 
% 73.36/11.03  | | | End of split
% 73.36/11.03  | | | 
% 73.36/11.03  | | End of split
% 73.36/11.03  | | 
% 73.36/11.03  | End of split
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #270 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  all_8_10 = e3
% 73.36/11.03    (2)  all_8_10 = e0
% 73.36/11.03    (3)   ~ (e3 = e0)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.03  |   (4)  e3 = e0
% 73.36/11.03  | 
% 73.36/11.03  | SIMP: (4) implies:
% 73.36/11.03  |   (5)  e3 = e0
% 73.36/11.03  | 
% 73.36/11.03  | REDUCE: (3), (5) imply:
% 73.36/11.03  |   (6)  $false
% 73.36/11.03  | 
% 73.36/11.03  | CLOSE: (6) is inconsistent.
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #271 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  all_8_5 = e1
% 73.36/11.03    (2)  all_8_5 = e0
% 73.36/11.03    (3)   ~ (e1 = e0)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.03  |   (4)  e1 = e0
% 73.36/11.03  | 
% 73.36/11.03  | SIMP: (4) implies:
% 73.36/11.03  |   (5)  e1 = e0
% 73.36/11.03  | 
% 73.36/11.03  | REDUCE: (3), (5) imply:
% 73.36/11.03  |   (6)  $false
% 73.36/11.03  | 
% 73.36/11.03  | CLOSE: (6) is inconsistent.
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #272 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  ( ~ (all_10_0 = e1) | (all_10_3 = e4 &  ~ (unit = e1))) & ( ~ (all_10_1 =
% 73.36/11.03             e1) | (all_10_3 = e3 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |
% 73.36/11.03           (all_10_3 = e2 &  ~ (unit = e1))) & ( ~ (all_10_3 = e1) |  ~ (unit =
% 73.36/11.03             e1)) & ( ~ (all_10_4 = e1) | (all_10_3 = e0 &  ~ (unit = e1))) & ( ~
% 73.36/11.03           (all_10_5 = e1) | (all_10_8 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 =
% 73.36/11.03             e1) | (all_10_8 = e3 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 73.36/11.03           (all_10_8 = e2 &  ~ (unit = e1))) & ( ~ (all_10_8 = e1) |  ~ (unit =
% 73.36/11.03             e1)) & ( ~ (all_10_9 = e1) | (all_10_8 = e0 &  ~ (unit = e1))) & ( ~
% 73.36/11.03           (all_10_10 = e1) | (all_10_13 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11
% 73.36/11.03             = e1) | (all_10_13 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 73.36/11.03           (all_10_13 = e2 &  ~ (unit = e1))) & ( ~ (all_10_13 = e1) |  ~ (unit =
% 73.36/11.03             e1)) & ( ~ (all_10_14 = e1) | (all_10_13 = e0 &  ~ (unit = e1))) & (
% 73.36/11.03           ~ (all_10_15 = e1) | (all_10_18 = e4 &  ~ (unit = e1))) & ( ~
% 73.36/11.03           (all_10_16 = e1) | (all_10_18 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17
% 73.36/11.03             = e1) | (all_10_18 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) | 
% 73.36/11.03           ~ (unit = e1)) & ( ~ (all_10_19 = e1) | (all_10_18 = e0 &  ~ (unit =
% 73.36/11.03               e1))) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) &
% 73.36/11.03         ( ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 73.36/11.03           (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23
% 73.36/11.03             = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~
% 73.36/11.03             (unit = e1)))
% 73.36/11.03    (2)  all_10_7 = e1
% 73.36/11.03    (3)  all_10_8 = e3
% 73.36/11.03    (4)   ~ (e3 = e2)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | ALPHA: (1) implies:
% 73.36/11.03  |   (5)   ~ (all_10_7 = e1) | (all_10_8 = e2 &  ~ (unit = e1))
% 73.36/11.03  | 
% 73.36/11.03  | BETA: splitting (5) gives:
% 73.36/11.03  | 
% 73.36/11.03  | Case 1:
% 73.36/11.03  | | 
% 73.36/11.03  | |   (6)   ~ (all_10_7 = e1)
% 73.36/11.03  | | 
% 73.36/11.03  | | REDUCE: (2), (6) imply:
% 73.36/11.03  | |   (7)  $false
% 73.36/11.03  | | 
% 73.36/11.03  | | CLOSE: (7) is inconsistent.
% 73.36/11.03  | | 
% 73.36/11.03  | Case 2:
% 73.36/11.03  | | 
% 73.36/11.03  | |   (8)  all_10_8 = e2 &  ~ (unit = e1)
% 73.36/11.03  | | 
% 73.36/11.03  | | ALPHA: (8) implies:
% 73.36/11.03  | |   (9)  all_10_8 = e2
% 73.36/11.03  | | 
% 73.36/11.03  | | COMBINE_EQS: (3), (9) imply:
% 73.36/11.03  | |   (10)  e3 = e2
% 73.36/11.03  | | 
% 73.36/11.03  | | SIMP: (10) implies:
% 73.36/11.03  | |   (11)  e3 = e2
% 73.36/11.03  | | 
% 73.36/11.03  | | REDUCE: (4), (11) imply:
% 73.36/11.03  | |   (12)  $false
% 73.36/11.03  | | 
% 73.36/11.03  | | CLOSE: (12) is inconsistent.
% 73.36/11.03  | | 
% 73.36/11.03  | End of split
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #273 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  ( ~ (all_10_0 = e3) | (all_10_1 = e4 &  ~ (unit = e3))) & ( ~ (all_10_1 =
% 73.36/11.03             e3) |  ~ (unit = e3)) & ( ~ (all_10_2 = e3) | (all_10_1 = e2 &  ~
% 73.36/11.03             (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_1 = e1 &  ~ (unit =
% 73.36/11.03               e3))) & ( ~ (all_10_4 = e3) | (all_10_1 = e0 &  ~ (unit = e3))) & (
% 73.36/11.03           ~ (all_10_5 = e3) | (all_10_6 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 =
% 73.36/11.03             e3) |  ~ (unit = e3)) & ( ~ (all_10_7 = e3) | (all_10_6 = e2 &  ~
% 73.36/11.03             (unit = e3))) & ( ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit =
% 73.36/11.03               e3))) & ( ~ (all_10_9 = e3) | (all_10_6 = e0 &  ~ (unit = e3))) & (
% 73.36/11.03           ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 73.36/11.03           (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11
% 73.36/11.03             = e2 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e1 &  ~
% 73.36/11.03             (unit = e3))) & ( ~ (all_10_14 = e3) | (all_10_11 = e0 &  ~ (unit =
% 73.36/11.03               e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) &
% 73.36/11.03         ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 73.36/11.03           (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) | (all_10_16
% 73.36/11.03             = e1 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) | (all_10_16 = e0 &  ~
% 73.36/11.03             (unit = e3))) & ( ~ (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 73.36/11.03               e3))) & ( ~ (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 =
% 73.36/11.03             e3) | (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 73.36/11.03           (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) | (all_10_21
% 73.36/11.03             = e0 &  ~ (unit = e3)))
% 73.36/11.03    (2)  all_10_8 = e3
% 73.36/11.03    (3)  all_10_6 = e4
% 73.36/11.03    (4)   ~ (e4 = e1)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | ALPHA: (1) implies:
% 73.36/11.03  |   (5)   ~ (all_10_8 = e3) | (all_10_6 = e1 &  ~ (unit = e3))
% 73.36/11.03  | 
% 73.36/11.03  | BETA: splitting (5) gives:
% 73.36/11.03  | 
% 73.36/11.03  | Case 1:
% 73.36/11.03  | | 
% 73.36/11.03  | |   (6)   ~ (all_10_8 = e3)
% 73.36/11.03  | | 
% 73.36/11.03  | | REDUCE: (2), (6) imply:
% 73.36/11.03  | |   (7)  $false
% 73.36/11.03  | | 
% 73.36/11.03  | | CLOSE: (7) is inconsistent.
% 73.36/11.03  | | 
% 73.36/11.03  | Case 2:
% 73.36/11.03  | | 
% 73.36/11.03  | |   (8)  all_10_6 = e1 &  ~ (unit = e3)
% 73.36/11.03  | | 
% 73.36/11.03  | | ALPHA: (8) implies:
% 73.36/11.03  | |   (9)  all_10_6 = e1
% 73.36/11.03  | | 
% 73.36/11.03  | | COMBINE_EQS: (3), (9) imply:
% 73.36/11.03  | |   (10)  e4 = e1
% 73.36/11.03  | | 
% 73.36/11.03  | | SIMP: (10) implies:
% 73.36/11.03  | |   (11)  e4 = e1
% 73.36/11.03  | | 
% 73.36/11.03  | | REDUCE: (4), (11) imply:
% 73.36/11.03  | |   (12)  $false
% 73.36/11.03  | | 
% 73.36/11.03  | | CLOSE: (12) is inconsistent.
% 73.36/11.03  | | 
% 73.36/11.03  | End of split
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #274 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)   ~ (all_10_6 = e4) | (all_10_5 = e3 &  ~ (unit = e4))
% 73.36/11.03    (2)  all_10_6 = e4
% 73.36/11.03    (3)  all_10_5 = e0
% 73.36/11.03    (4)   ~ (e3 = e0)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | BETA: splitting (1) gives:
% 73.36/11.03  | 
% 73.36/11.03  | Case 1:
% 73.36/11.03  | | 
% 73.36/11.03  | |   (5)   ~ (all_10_6 = e4)
% 73.36/11.03  | | 
% 73.36/11.03  | | REDUCE: (2), (5) imply:
% 73.36/11.03  | |   (6)  $false
% 73.36/11.03  | | 
% 73.36/11.03  | | CLOSE: (6) is inconsistent.
% 73.36/11.03  | | 
% 73.36/11.03  | Case 2:
% 73.36/11.03  | | 
% 73.36/11.03  | |   (7)  all_10_5 = e3 &  ~ (unit = e4)
% 73.36/11.03  | | 
% 73.36/11.03  | | ALPHA: (7) implies:
% 73.36/11.03  | |   (8)  all_10_5 = e3
% 73.36/11.03  | | 
% 73.36/11.03  | | COMBINE_EQS: (3), (8) imply:
% 73.36/11.03  | |   (9)  e3 = e0
% 73.36/11.03  | | 
% 73.36/11.03  | | REDUCE: (4), (9) imply:
% 73.36/11.03  | |   (10)  $false
% 73.36/11.03  | | 
% 73.36/11.03  | | CLOSE: (10) is inconsistent.
% 73.36/11.03  | | 
% 73.36/11.03  | End of split
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #275 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  all_8_3 = e4
% 73.36/11.03    (2)  all_8_3 = e2
% 73.36/11.03    (3)   ~ (e4 = e2)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.03  |   (4)  e4 = e2
% 73.36/11.03  | 
% 73.36/11.03  | SIMP: (4) implies:
% 73.36/11.03  |   (5)  e4 = e2
% 73.36/11.03  | 
% 73.36/11.03  | REDUCE: (3), (5) imply:
% 73.36/11.03  |   (6)  $false
% 73.36/11.03  | 
% 73.36/11.03  | CLOSE: (6) is inconsistent.
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #276 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  all_8_3 = e4
% 73.36/11.03    (2)  all_8_3 = e0
% 73.36/11.03    (3)   ~ (e4 = e0)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.03  |   (4)  e4 = e0
% 73.36/11.03  | 
% 73.36/11.03  | SIMP: (4) implies:
% 73.36/11.03  |   (5)  e4 = e0
% 73.36/11.03  | 
% 73.36/11.03  | REDUCE: (3), (5) imply:
% 73.36/11.03  |   (6)  $false
% 73.36/11.03  | 
% 73.36/11.03  | CLOSE: (6) is inconsistent.
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  
% 73.36/11.03  Sub-proof #277 shows that the following formulas are inconsistent:
% 73.36/11.03  ----------------------------------------------------------------
% 73.36/11.03    (1)  all_8_1 = all_4_5
% 73.36/11.03    (2)  all_8_1 = e0
% 73.36/11.03    (3)   ~ (all_4_5 = e0)
% 73.36/11.03  
% 73.36/11.03  Begin of proof
% 73.36/11.03  | 
% 73.36/11.03  | COMBINE_EQS: (1), (2) imply:
% 73.36/11.03  |   (4)  all_4_5 = e0
% 73.36/11.03  | 
% 73.36/11.03  | SIMP: (4) implies:
% 73.36/11.03  |   (5)  all_4_5 = e0
% 73.36/11.03  | 
% 73.36/11.03  | REDUCE: (3), (5) imply:
% 73.36/11.03  |   (6)  $false
% 73.36/11.03  | 
% 73.36/11.03  | CLOSE: (6) is inconsistent.
% 73.36/11.03  | 
% 73.36/11.03  End of proof
% 73.36/11.03  % SZS output end Proof for theBenchmark
% 73.36/11.03  
% 73.36/11.03  10425ms
%------------------------------------------------------------------------------