%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG066+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 : n027.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 16:36:09 EDT 2023

% Result   : Theorem 16.05s 2.88s
% Output   : Proof 57.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG066+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Mon Aug 28 03:09:36 EDT 2023
% 0.14/0.33  % CPUTime  : 
% 0.19/0.59  ________       _____
% 0.19/0.59  ___  __ \_________(_)________________________________
% 0.19/0.59  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.19/0.59  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.19/0.59  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59  
% 0.19/0.59  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59  (2023-06-19)
% 0.19/0.59  
% 0.19/0.59  (c) Philipp Rümmer, 2009-2023
% 0.19/0.59  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59                Amanda Stjerna.
% 0.19/0.59  Free software under BSD-3-Clause.
% 0.19/0.59  
% 0.19/0.59  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59  
% 0.19/0.59  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.60  Running up to 7 provers in parallel.
% 0.19/0.62  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.62  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.62  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.62  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.62  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.62  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.62  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 7.86/1.82  Prover 1: Preprocessing ...
% 7.86/1.82  Prover 4: Preprocessing ...
% 8.54/1.85  Prover 5: Preprocessing ...
% 8.54/1.85  Prover 6: Preprocessing ...
% 8.54/1.85  Prover 2: Preprocessing ...
% 8.54/1.85  Prover 3: Preprocessing ...
% 8.54/1.86  Prover 0: Preprocessing ...
% 13.27/2.52  Prover 1: Constructing countermodel ...
% 13.27/2.53  Prover 3: Constructing countermodel ...
% 13.27/2.53  Prover 4: Constructing countermodel ...
% 13.27/2.54  Prover 2: Constructing countermodel ...
% 13.82/2.66  Prover 6: Constructing countermodel ...
% 13.82/2.66  Prover 0: Constructing countermodel ...
% 16.05/2.88  Prover 2: proved (2274ms)
% 16.05/2.88  
% 16.05/2.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.05/2.88  
% 16.13/2.89  Prover 3: stopped
% 16.13/2.90  Prover 6: stopped
% 16.13/2.90  Prover 0: stopped
% 16.34/2.92  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 16.34/2.92  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 16.34/2.92  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 16.34/2.92  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 17.03/3.06  Prover 5: Constructing countermodel ...
% 17.03/3.07  Prover 5: stopped
% 17.03/3.08  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 18.58/3.23  Prover 11: Preprocessing ...
% 18.58/3.23  Prover 7: Preprocessing ...
% 18.58/3.34  Prover 8: Preprocessing ...
% 19.47/3.38  Prover 10: Preprocessing ...
% 19.47/3.44  Prover 13: Preprocessing ...
% 20.48/3.53  Prover 8: Constructing countermodel ...
% 21.12/3.56  Prover 7: Constructing countermodel ...
% 21.36/3.61  Prover 11: Constructing countermodel ...
% 21.87/3.67  Prover 10: Constructing countermodel ...
% 21.87/3.68  Prover 13: Constructing countermodel ...
% 52.87/7.72  Prover 8: Found proof (size 10194)
% 52.87/7.72  Prover 8: proved (4805ms)
% 52.87/7.72  Prover 10: stopped
% 52.87/7.72  Prover 1: stopped
% 52.87/7.72  Prover 11: stopped
% 52.87/7.72  Prover 4: stopped
% 52.87/7.72  Prover 13: stopped
% 52.87/7.72  Prover 7: stopped
% 52.87/7.72  
% 52.87/7.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.87/7.72  
% 53.80/7.95  % SZS output start Proof for theBenchmark
% 53.80/7.98  Assumptions after simplification:
% 53.80/7.98  ---------------------------------
% 53.80/7.98  
% 53.80/7.98    (ax1)
% 53.89/8.04    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 53.89/8.04    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 53.89/8.04    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 53.89/8.04    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 53.89/8.04    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 53.89/8.04    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 53.89/8.04      v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 53.89/8.04      v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 53.89/8.04      v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 53.89/8.04      v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 53.89/8.04      & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 53.89/8.04      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 53.89/8.04      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 53.89/8.04      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 53.89/8.04      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 53.89/8.04        v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 53.89/8.04        e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 53.89/8.04      (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 53.89/8.04        e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 53.89/8.04        v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 53.89/8.04        e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 53.89/8.04        v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 53.89/8.04        e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 53.89/8.04        v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 53.89/8.04        = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 53.89/8.04        v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 53.89/8.04        e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 53.89/8.04        e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 53.89/8.04        | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 53.89/8.04      (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 53.89/8.04        = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 53.89/8.04        e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 53.89/8.04        e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 53.89/8.04        | v0 = e0))
% 53.89/8.04  
% 53.89/8.04    (ax2)
% 53.89/8.04    op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1
% 53.89/8.04    & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) =
% 53.89/8.04    e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) &
% 53.89/8.04    $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 |
% 53.89/8.04      unit = e0)
% 53.89/8.04  
% 53.89/8.04    (ax3)
% 54.09/8.06    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 54.09/8.06    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 54.09/8.06    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 54.09/8.06    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 54.09/8.06    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 54.09/8.06    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 54.09/8.06      v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 54.09/8.06      v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 54.09/8.06      v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 54.09/8.06      v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 54.09/8.06      v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 54.09/8.06      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 54.09/8.06      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 54.09/8.06      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 54.09/8.06      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 54.09/8.06        v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 54.09/8.06        e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 54.09/8.06      (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 54.09/8.06        | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 54.09/8.06        e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 54.09/8.06      (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 54.09/8.06        | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 54.09/8.06        e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 54.09/8.06      (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 54.09/8.06        | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 54.09/8.06        e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 54.09/8.06      (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 54.09/8.06        | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 54.09/8.06        e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 54.09/8.06      (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 54.09/8.06        | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 54.09/8.06        e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 54.09/8.06      (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 54.09/8.06        | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 54.09/8.06        e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 54.09/8.06      (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 54.09/8.06        | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 54.09/8.06        e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 54.09/8.06      (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 54.09/8.06        | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 54.09/8.06        e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 54.09/8.06      (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 54.09/8.06        | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 54.09/8.06        e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 54.09/8.06      (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 54.09/8.06        v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 54.09/8.06        = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 54.09/8.06        = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 54.09/8.06        e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 54.09/8.06        e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 54.09/8.06        | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 54.09/8.06          & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 54.09/8.06  
% 54.09/8.06    (ax4)
% 54.09/8.07    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 54.09/8.07    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 54.09/8.07    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 54.09/8.07    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 54.09/8.07    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 54.09/8.08    [v23: $i] :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &
% 54.09/8.08       ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24 =
% 54.09/8.08        v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23 = v18) & 
% 54.09/8.08      ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 = v21) &  ~ (v22 =
% 54.09/8.08        v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 = v7) &  ~ (v22 = v2) & 
% 54.09/8.08      ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 =
% 54.09/8.08        v1) &  ~ (v20 = v15) &  ~ (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~
% 54.09/8.08      (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 =
% 54.09/8.08        v14) &  ~ (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) & 
% 54.09/8.08      ~ (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 54.09/8.08        v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 = v2) & 
% 54.09/8.08      ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 = v1) &  ~ (v15 =
% 54.09/8.08        v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 = v13) &  ~ (v14 = v12) & 
% 54.09/8.08      ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 =
% 54.09/8.08        v12) &  ~ (v13 = v11) &  ~ (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) & 
% 54.09/8.08      ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 =
% 54.09/8.08        v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~
% 54.09/8.08      (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~
% 54.09/8.08      (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~
% 54.09/8.08      (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~
% 54.09/8.08      (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~
% 54.09/8.08      (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) &
% 54.09/8.08      op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 54.09/8.08      op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 54.09/8.08      op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 54.09/8.08      op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 54.09/8.08      op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 54.09/8.08      op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 54.09/8.08      op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 54.09/8.08      & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 54.09/8.08      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 54.09/8.08      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 54.09/8.08  
% 54.09/8.08    (ax5)
% 54.09/8.08     ~ (e4 = e3) &  ~ (e4 = e2) &  ~ (e4 = e1) &  ~ (e4 = e0) &  ~ (e3 = e2) &  ~
% 54.09/8.08    (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~ (e1 = e0) & $i(e4)
% 54.09/8.08    & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 54.09/8.08  
% 54.09/8.08    (ax6)
% 54.09/8.08    op(e4, e2) = e1 & op(e2, e4) = e3 & op(e1, e1) = e0 & $i(e4) & $i(e3) & $i(e2)
% 54.09/8.08    & $i(e1) & $i(e0)
% 54.09/8.08  
% 54.09/8.08    (co1)
% 54.09/8.11    $i(unit) & $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1:
% 54.09/8.11      $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] : 
% 54.09/8.11    ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ?
% 54.09/8.11    [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ?
% 54.09/8.11    [v17: $i] :  ? [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ?
% 54.09/8.11    [v22: $i] :  ? [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v20 & op(e4, e3) = v24
% 54.09/8.11      & op(e4, e2) = v23 & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v19
% 54.09/8.11      & op(e3, e3) = v15 & op(e3, e2) = v18 & op(e3, e1) = v17 & op(e3, e0) = v16
% 54.09/8.11      & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v10 & op(e2, e1) = v12
% 54.09/8.11      & op(e2, e0) = v11 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 &
% 54.09/8.11      op(e1, e1) = v5 & op(e1, e0) = v6 & op(e0, e4) = v4 & op(e0, e3) = v3 &
% 54.09/8.11      op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) &
% 54.09/8.11      $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 54.09/8.11      $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 54.09/8.11      & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (
% 54.09/8.11        ~ (v20 = e3) | v24 = e4) & ( ~ (v20 = e2) | v23 = e4) & ( ~ (v20 = e1) |
% 54.09/8.11        v22 = e4) & ( ~ (v20 = e0) | v21 = e4) & ( ~ (v15 = e4) | v19 = e3) & ( ~
% 54.09/8.11        (v15 = e2) | v18 = e3) & ( ~ (v15 = e1) | v17 = e3) & ( ~ (v15 = e0) | v16
% 54.09/8.11        = e3) & ( ~ (v10 = e4) | v14 = e2) & ( ~ (v10 = e3) | v13 = e2) & ( ~ (v10
% 54.09/8.11          = e1) | v12 = e2) & ( ~ (v10 = e0) | v11 = e2) & ( ~ (v5 = e4) | v9 =
% 54.09/8.11        e1) & ( ~ (v5 = e3) | v8 = e1) & ( ~ (v5 = e2) | v7 = e1) & ( ~ (v5 = e0)
% 54.09/8.11        | v6 = e1) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0
% 54.09/8.11          = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0) & ((( ~ (v24 = e4) | (v20 =
% 54.09/8.11              e3 &  ~ (unit = e4))) & ( ~ (v23 = e4) | (v20 = e2 &  ~ (unit =
% 54.09/8.11                e4))) & ( ~ (v22 = e4) | (v20 = e1 &  ~ (unit = e4))) & ( ~ (v21 =
% 54.09/8.11              e4) | (v20 = e0 &  ~ (unit = e4))) & ( ~ (v20 = e4) |  ~ (unit =
% 54.09/8.11              e4)) & ( ~ (v19 = e4) |  ~ (unit = e4)) & ( ~ (v18 = e4) | (v19 = e2
% 54.09/8.11              &  ~ (unit = e4))) & ( ~ (v17 = e4) | (v19 = e1 &  ~ (unit = e4))) &
% 54.09/8.11          ( ~ (v16 = e4) | (v19 = e0 &  ~ (unit = e4))) & ( ~ (v15 = e4) | (v19 =
% 54.09/8.11              e3 &  ~ (unit = e4))) & ( ~ (v14 = e4) |  ~ (unit = e4)) & ( ~ (v13
% 54.09/8.11              = e4) | (v14 = e3 &  ~ (unit = e4))) & ( ~ (v12 = e4) | (v14 = e1 & 
% 54.09/8.11              ~ (unit = e4))) & ( ~ (v11 = e4) | (v14 = e0 &  ~ (unit = e4))) & (
% 54.09/8.11            ~ (v10 = e4) | (v14 = e2 &  ~ (unit = e4))) & ( ~ (v9 = e4) |  ~ (unit
% 54.09/8.11              = e4)) & ( ~ (v8 = e4) | (v9 = e3 &  ~ (unit = e4))) & ( ~ (v7 = e4)
% 54.09/8.11            | (v9 = e2 &  ~ (unit = e4))) & ( ~ (v6 = e4) | (v9 = e0 &  ~ (unit =
% 54.09/8.11                e4))) & ( ~ (v5 = e4) | (v9 = e1 &  ~ (unit = e4))) & ( ~ (v4 =
% 54.09/8.11              e4) |  ~ (unit = e4)) & ( ~ (v3 = e4) | (v4 = e3 &  ~ (unit = e4)))
% 54.09/8.11          & ( ~ (v2 = e4) | (v4 = e2 &  ~ (unit = e4))) & ( ~ (v1 = e4) | (v4 = e1
% 54.09/8.11              &  ~ (unit = e4))) & ( ~ (v0 = e4) | (v4 = e0 &  ~ (unit = e4)))) |
% 54.09/8.11        (( ~ (v24 = e3) |  ~ (unit = e3)) & ( ~ (v23 = e3) | (v24 = e2 &  ~ (unit
% 54.09/8.11                = e3))) & ( ~ (v22 = e3) | (v24 = e1 &  ~ (unit = e3))) & ( ~ (v21
% 54.09/8.11              = e3) | (v24 = e0 &  ~ (unit = e3))) & ( ~ (v20 = e3) | (v24 = e4 & 
% 54.09/8.11              ~ (unit = e3))) & ( ~ (v19 = e3) | (v15 = e4 &  ~ (unit = e3))) & (
% 54.09/8.11            ~ (v18 = e3) | (v15 = e2 &  ~ (unit = e3))) & ( ~ (v17 = e3) | (v15 =
% 54.09/8.11              e1 &  ~ (unit = e3))) & ( ~ (v16 = e3) | (v15 = e0 &  ~ (unit =
% 54.09/8.11                e3))) & ( ~ (v15 = e3) |  ~ (unit = e3)) & ( ~ (v14 = e3) | (v13 =
% 54.09/8.11              e4 &  ~ (unit = e3))) & ( ~ (v13 = e3) |  ~ (unit = e3)) & ( ~ (v12
% 54.09/8.11              = e3) | (v13 = e1 &  ~ (unit = e3))) & ( ~ (v11 = e3) | (v13 = e0 & 
% 54.09/8.11              ~ (unit = e3))) & ( ~ (v10 = e3) | (v13 = e2 &  ~ (unit = e3))) & (
% 54.09/8.11            ~ (v9 = e3) | (v8 = e4 &  ~ (unit = e3))) & ( ~ (v8 = e3) |  ~ (unit =
% 54.09/8.11              e3)) & ( ~ (v7 = e3) | (v8 = e2 &  ~ (unit = e3))) & ( ~ (v6 = e3) |
% 54.09/8.11            (v8 = e0 &  ~ (unit = e3))) & ( ~ (v5 = e3) | (v8 = e1 &  ~ (unit =
% 54.09/8.11                e3))) & ( ~ (v4 = e3) | (v3 = e4 &  ~ (unit = e3))) & ( ~ (v3 =
% 54.09/8.11              e3) |  ~ (unit = e3)) & ( ~ (v2 = e3) | (v3 = e2 &  ~ (unit = e3)))
% 54.09/8.11          & ( ~ (v1 = e3) | (v3 = e1 &  ~ (unit = e3))) & ( ~ (v0 = e3) | (v3 = e0
% 54.09/8.11              &  ~ (unit = e3)))) | (( ~ (v24 = e2) | (v23 = e3 &  ~ (unit = e2)))
% 54.09/8.11          & ( ~ (v23 = e2) |  ~ (unit = e2)) & ( ~ (v22 = e2) | (v23 = e1 &  ~
% 54.09/8.11              (unit = e2))) & ( ~ (v21 = e2) | (v23 = e0 &  ~ (unit = e2))) & ( ~
% 54.09/8.11            (v20 = e2) | (v23 = e4 &  ~ (unit = e2))) & ( ~ (v19 = e2) | (v18 = e4
% 54.09/8.11              &  ~ (unit = e2))) & ( ~ (v18 = e2) |  ~ (unit = e2)) & ( ~ (v17 =
% 54.09/8.11              e2) | (v18 = e1 &  ~ (unit = e2))) & ( ~ (v16 = e2) | (v18 = e0 &  ~
% 54.09/8.11              (unit = e2))) & ( ~ (v15 = e2) | (v18 = e3 &  ~ (unit = e2))) & ( ~
% 54.09/8.11            (v14 = e2) | (v10 = e4 &  ~ (unit = e2))) & ( ~ (v13 = e2) | (v10 = e3
% 54.09/8.11              &  ~ (unit = e2))) & ( ~ (v12 = e2) | (v10 = e1 &  ~ (unit = e2))) &
% 54.09/8.11          ( ~ (v11 = e2) | (v10 = e0 &  ~ (unit = e2))) & ( ~ (v10 = e2) |  ~
% 54.09/8.11            (unit = e2)) & ( ~ (v9 = e2) | (v7 = e4 &  ~ (unit = e2))) & ( ~ (v8 =
% 54.09/8.11              e2) | (v7 = e3 &  ~ (unit = e2))) & ( ~ (v7 = e2) |  ~ (unit = e2))
% 54.09/8.11          & ( ~ (v6 = e2) | (v7 = e0 &  ~ (unit = e2))) & ( ~ (v5 = e2) | (v7 = e1
% 54.09/8.11              &  ~ (unit = e2))) & ( ~ (v4 = e2) | (v2 = e4 &  ~ (unit = e2))) & (
% 54.09/8.11            ~ (v3 = e2) | (v2 = e3 &  ~ (unit = e2))) & ( ~ (v2 = e2) |  ~ (unit =
% 54.09/8.11              e2)) & ( ~ (v1 = e2) | (v2 = e1 &  ~ (unit = e2))) & ( ~ (v0 = e2) |
% 54.09/8.11            (v2 = e0 &  ~ (unit = e2)))) | (( ~ (v24 = e1) | (v22 = e3 &  ~ (unit
% 54.09/8.11                = e1))) & ( ~ (v23 = e1) | (v22 = e2 &  ~ (unit = e1))) & ( ~ (v22
% 54.09/8.11              = e1) |  ~ (unit = e1)) & ( ~ (v21 = e1) | (v22 = e0 &  ~ (unit =
% 54.09/8.11                e1))) & ( ~ (v20 = e1) | (v22 = e4 &  ~ (unit = e1))) & ( ~ (v19 =
% 54.09/8.11              e1) | (v17 = e4 &  ~ (unit = e1))) & ( ~ (v18 = e1) | (v17 = e2 &  ~
% 54.09/8.11              (unit = e1))) & ( ~ (v17 = e1) |  ~ (unit = e1)) & ( ~ (v16 = e1) |
% 54.09/8.11            (v17 = e0 &  ~ (unit = e1))) & ( ~ (v15 = e1) | (v17 = e3 &  ~ (unit =
% 54.09/8.11                e1))) & ( ~ (v14 = e1) | (v12 = e4 &  ~ (unit = e1))) & ( ~ (v13 =
% 54.09/8.11              e1) | (v12 = e3 &  ~ (unit = e1))) & ( ~ (v12 = e1) |  ~ (unit =
% 54.09/8.11              e1)) & ( ~ (v11 = e1) | (v12 = e0 &  ~ (unit = e1))) & ( ~ (v10 =
% 54.09/8.11              e1) | (v12 = e2 &  ~ (unit = e1))) & ( ~ (v9 = e1) | (v5 = e4 &  ~
% 54.09/8.11              (unit = e1))) & ( ~ (v8 = e1) | (v5 = e3 &  ~ (unit = e1))) & ( ~
% 54.09/8.11            (v7 = e1) | (v5 = e2 &  ~ (unit = e1))) & ( ~ (v6 = e1) | (v5 = e0 & 
% 54.09/8.11              ~ (unit = e1))) & ( ~ (v5 = e1) |  ~ (unit = e1)) & ( ~ (v4 = e1) |
% 54.09/8.11            (v1 = e4 &  ~ (unit = e1))) & ( ~ (v3 = e1) | (v1 = e3 &  ~ (unit =
% 54.09/8.11                e1))) & ( ~ (v2 = e1) | (v1 = e2 &  ~ (unit = e1))) & ( ~ (v1 =
% 54.09/8.11              e1) |  ~ (unit = e1)) & ( ~ (v0 = e1) | (v1 = e0 &  ~ (unit = e1))))
% 54.09/8.11        | (( ~ (v24 = e0) | (v21 = e3 &  ~ (unit = e0))) & ( ~ (v23 = e0) | (v21 =
% 54.09/8.11              e2 &  ~ (unit = e0))) & ( ~ (v22 = e0) | (v21 = e1 &  ~ (unit =
% 54.09/8.11                e0))) & ( ~ (v21 = e0) |  ~ (unit = e0)) & ( ~ (v20 = e0) | (v21 =
% 54.09/8.11              e4 &  ~ (unit = e0))) & ( ~ (v19 = e0) | (v16 = e4 &  ~ (unit =
% 54.09/8.11                e0))) & ( ~ (v18 = e0) | (v16 = e2 &  ~ (unit = e0))) & ( ~ (v17 =
% 54.09/8.11              e0) | (v16 = e1 &  ~ (unit = e0))) & ( ~ (v16 = e0) |  ~ (unit =
% 54.09/8.11              e0)) & ( ~ (v15 = e0) | (v16 = e3 &  ~ (unit = e0))) & ( ~ (v14 =
% 54.09/8.11              e0) | (v11 = e4 &  ~ (unit = e0))) & ( ~ (v13 = e0) | (v11 = e3 &  ~
% 54.09/8.11              (unit = e0))) & ( ~ (v12 = e0) | (v11 = e1 &  ~ (unit = e0))) & ( ~
% 54.09/8.11            (v11 = e0) |  ~ (unit = e0)) & ( ~ (v10 = e0) | (v11 = e2 &  ~ (unit =
% 54.09/8.11                e0))) & ( ~ (v9 = e0) | (v6 = e4 &  ~ (unit = e0))) & ( ~ (v8 =
% 54.09/8.11              e0) | (v6 = e3 &  ~ (unit = e0))) & ( ~ (v7 = e0) | (v6 = e2 &  ~
% 54.09/8.11              (unit = e0))) & ( ~ (v6 = e0) |  ~ (unit = e0)) & ( ~ (v5 = e0) |
% 54.09/8.11            (v6 = e1 &  ~ (unit = e0))) & ( ~ (v4 = e0) | (v0 = e4 &  ~ (unit =
% 54.09/8.11                e0))) & ( ~ (v3 = e0) | (v0 = e3 &  ~ (unit = e0))) & ( ~ (v2 =
% 54.09/8.11              e0) | (v0 = e2 &  ~ (unit = e0))) & ( ~ (v1 = e0) | (v0 = e1 &  ~
% 54.09/8.11              (unit = e0))) & ( ~ (v0 = e0) |  ~ (unit = e0)))))
% 54.09/8.11  
% 54.09/8.11    (function-axioms)
% 54.09/8.11     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 54.09/8.11          v2) = v1) |  ~ (op(v3, v2) = v0))
% 54.09/8.11  
% 54.09/8.11  Those formulas are unsatisfiable:
% 54.09/8.11  ---------------------------------
% 54.09/8.11  
% 54.09/8.11  Begin of proof
% 54.09/8.11  | 
% 54.09/8.11  | ALPHA: (ax1) implies:
% 54.09/8.12  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 54.09/8.12  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 54.09/8.12  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 54.09/8.12  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 54.09/8.12  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 54.09/8.12  |        [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 54.09/8.12  |          op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 54.09/8.12  |          v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 54.09/8.12  |            e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 54.09/8.12  |          & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 54.09/8.12  |          v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 54.09/8.12  |          = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 54.09/8.12  |          & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 54.09/8.12  |          & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 54.09/8.12  |          & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 54.09/8.12  |          $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 54.09/8.12  |            | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 54.09/8.12  |            e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 54.09/8.12  |            = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 54.09/8.12  |            = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 54.09/8.12  |            = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 54.09/8.12  |            = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 54.09/8.12  |            = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 54.09/8.12  |          (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 54.09/8.12  |            v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 54.09/8.12  |            v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 54.09/8.13  |            v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 54.09/8.13  |            v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 54.09/8.13  |          & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 54.09/8.13  |            e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 54.09/8.13  |            v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 54.09/8.13  |            e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 54.09/8.13  |            | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 54.09/8.13  |            = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 54.09/8.13  |            | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 54.09/8.13  |          (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 54.09/8.13  | 
% 54.09/8.13  | ALPHA: (ax2) implies:
% 54.09/8.13  |   (2)  op(e0, unit) = e0
% 54.09/8.13  |   (3)  op(e1, unit) = e1
% 54.09/8.13  |   (4)  op(e2, unit) = e2
% 54.09/8.13  |   (5)  op(e3, unit) = e3
% 54.09/8.13  |   (6)  op(e4, unit) = e4
% 54.09/8.13  |   (7)  op(unit, e1) = e1
% 54.09/8.13  |   (8)  op(unit, e2) = e2
% 54.09/8.13  |   (9)  op(unit, e3) = e3
% 54.09/8.13  |   (10)  op(unit, e4) = e4
% 54.09/8.13  |   (11)  unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 54.09/8.13  | 
% 54.09/8.13  | ALPHA: (ax3) implies:
% 54.09/8.14  |   (12)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 54.09/8.14  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 54.09/8.14  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 54.09/8.14  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 54.09/8.14  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 54.09/8.14  |         :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 54.09/8.14  |           v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3,
% 54.09/8.14  |             e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7
% 54.09/8.14  |           & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2,
% 54.09/8.14  |             e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11
% 54.09/8.14  |           & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4)
% 54.09/8.14  |           = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0,
% 54.09/8.14  |             e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 54.09/8.14  |           $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 54.09/8.14  |           & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 54.09/8.14  |           $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 |
% 54.09/8.14  |             v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 |
% 54.09/8.14  |             v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 |
% 54.09/8.14  |             v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 |
% 54.09/8.14  |             v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) &
% 54.09/8.14  |           (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 |
% 54.09/8.14  |             v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 |
% 54.09/8.14  |             v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 |
% 54.09/8.14  |             v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 |
% 54.09/8.14  |             v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 54.09/8.14  |           (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 |
% 54.09/8.14  |             v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 |
% 54.09/8.14  |             v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 |
% 54.09/8.14  |             v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 |
% 54.09/8.14  |             v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) &
% 54.09/8.14  |           (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 |
% 54.09/8.14  |             v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 |
% 54.09/8.14  |             v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 |
% 54.09/8.14  |             v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 |
% 54.09/8.14  |             v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 54.09/8.14  |           (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 |
% 54.09/8.14  |             v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 |
% 54.09/8.14  |             v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 |
% 54.09/8.14  |             v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 |
% 54.09/8.14  |             v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) &
% 54.09/8.14  |           (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 |
% 54.09/8.14  |             v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 |
% 54.09/8.14  |             v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 |
% 54.09/8.14  |             v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 |
% 54.09/8.14  |             v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 54.09/8.14  |           (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 |
% 54.09/8.14  |             v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 |
% 54.09/8.14  |             v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 |
% 54.09/8.14  |             v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 |
% 54.09/8.14  |             v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8
% 54.09/8.14  |             = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2
% 54.09/8.14  |             | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5
% 54.09/8.14  |             = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 =
% 54.09/8.14  |             e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2
% 54.09/8.14  |             | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2
% 54.09/8.14  |             = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 =
% 54.09/8.14  |                 e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 54.09/8.14  | 
% 54.09/8.14  | ALPHA: (ax4) implies:
% 54.55/8.15  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 54.55/8.15  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 54.55/8.15  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 54.55/8.15  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 54.55/8.15  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 54.55/8.15  |         :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) & 
% 54.55/8.15  |           ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~
% 54.55/8.15  |           (v24 = v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~
% 54.55/8.15  |           (v23 = v18) &  ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~
% 54.55/8.15  |           (v22 = v21) &  ~ (v22 = v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~
% 54.55/8.15  |           (v22 = v7) &  ~ (v22 = v2) &  ~ (v21 = v20) &  ~ (v21 = v16) &  ~
% 54.55/8.15  |           (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 = v1) &  ~ (v20 = v15) &  ~
% 54.55/8.15  |           (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~ (v19 = v18) &  ~
% 54.55/8.15  |           (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 = v14) &  ~
% 54.55/8.15  |           (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) &  ~
% 54.55/8.15  |           (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~
% 54.55/8.15  |           (v17 = v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~
% 54.55/8.15  |           (v17 = v2) &  ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~
% 54.55/8.15  |           (v16 = v1) &  ~ (v15 = v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~
% 54.55/8.15  |           (v14 = v13) &  ~ (v14 = v12) &  ~ (v14 = v11) &  ~ (v14 = v10) &  ~
% 54.55/8.15  |           (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 = v12) &  ~ (v13 = v11) &  ~
% 54.55/8.15  |           (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) &  ~ (v12 = v11) &  ~
% 54.55/8.15  |           (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 = v10) &  ~
% 54.55/8.15  |           (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v9
% 54.55/8.15  |             = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4)
% 54.55/8.15  |           &  ~ (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7
% 54.55/8.15  |             = v6) &  ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1)
% 54.55/8.15  |           &  ~ (v5 = v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4
% 54.55/8.15  |             = v0) &  ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1)
% 54.55/8.15  |           &  ~ (v2 = v0) &  ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19
% 54.55/8.15  |           & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4)
% 54.55/8.15  |           = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 &
% 54.55/8.15  |           op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) =
% 54.55/8.15  |           v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1,
% 54.55/8.15  |             e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 54.55/8.15  |           op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1)
% 54.55/8.15  |           = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 54.55/8.15  |           $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 54.55/8.15  |           & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 54.55/8.15  |           $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 54.55/8.15  | 
% 54.55/8.15  | ALPHA: (ax5) implies:
% 54.55/8.15  |   (14)   ~ (e2 = e0)
% 54.55/8.15  |   (15)   ~ (e2 = e1)
% 54.55/8.15  |   (16)   ~ (e3 = e0)
% 54.55/8.15  |   (17)   ~ (e3 = e1)
% 54.55/8.15  |   (18)   ~ (e3 = e2)
% 54.55/8.15  |   (19)   ~ (e4 = e1)
% 54.55/8.15  |   (20)   ~ (e4 = e2)
% 54.55/8.15  |   (21)   ~ (e4 = e3)
% 54.55/8.15  | 
% 54.55/8.15  | ALPHA: (ax6) implies:
% 54.55/8.15  |   (22)  op(e1, e1) = e0
% 54.55/8.15  |   (23)  op(e2, e4) = e3
% 54.55/8.15  |   (24)  op(e4, e2) = e1
% 54.55/8.15  | 
% 54.55/8.15  | ALPHA: (co1) implies:
% 54.55/8.18  |   (25)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 54.55/8.18  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 54.55/8.18  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 54.55/8.18  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 54.55/8.18  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 54.55/8.18  |         :  ? [v24: $i] : (op(e4, e4) = v20 & op(e4, e3) = v24 & op(e4, e2) =
% 54.55/8.18  |           v23 & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v19 &
% 54.55/8.18  |           op(e3, e3) = v15 & op(e3, e2) = v18 & op(e3, e1) = v17 & op(e3, e0)
% 54.55/8.18  |           = v16 & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v10 &
% 54.55/8.18  |           op(e2, e1) = v12 & op(e2, e0) = v11 & op(e1, e4) = v9 & op(e1, e3) =
% 54.55/8.18  |           v8 & op(e1, e2) = v7 & op(e1, e1) = v5 & op(e1, e0) = v6 & op(e0,
% 54.55/8.18  |             e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 &
% 54.55/8.18  |           op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 54.55/8.18  |           $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 54.55/8.18  |           & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 54.55/8.18  |           $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v20 = e3)
% 54.55/8.18  |             | v24 = e4) & ( ~ (v20 = e2) | v23 = e4) & ( ~ (v20 = e1) | v22 =
% 54.55/8.18  |             e4) & ( ~ (v20 = e0) | v21 = e4) & ( ~ (v15 = e4) | v19 = e3) & (
% 54.55/8.18  |             ~ (v15 = e2) | v18 = e3) & ( ~ (v15 = e1) | v17 = e3) & ( ~ (v15 =
% 54.55/8.18  |               e0) | v16 = e3) & ( ~ (v10 = e4) | v14 = e2) & ( ~ (v10 = e3) |
% 54.55/8.18  |             v13 = e2) & ( ~ (v10 = e1) | v12 = e2) & ( ~ (v10 = e0) | v11 =
% 54.55/8.18  |             e2) & ( ~ (v5 = e4) | v9 = e1) & ( ~ (v5 = e3) | v8 = e1) & ( ~
% 54.55/8.18  |             (v5 = e2) | v7 = e1) & ( ~ (v5 = e0) | v6 = e1) & ( ~ (v0 = e4) |
% 54.55/8.18  |             v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & (
% 54.55/8.18  |             ~ (v0 = e1) | v1 = e0) & ((( ~ (v24 = e4) | (v20 = e3 &  ~ (unit =
% 54.55/8.18  |                     e4))) & ( ~ (v23 = e4) | (v20 = e2 &  ~ (unit = e4))) & (
% 54.55/8.18  |                 ~ (v22 = e4) | (v20 = e1 &  ~ (unit = e4))) & ( ~ (v21 = e4) |
% 54.55/8.18  |                 (v20 = e0 &  ~ (unit = e4))) & ( ~ (v20 = e4) |  ~ (unit =
% 54.55/8.18  |                   e4)) & ( ~ (v19 = e4) |  ~ (unit = e4)) & ( ~ (v18 = e4) |
% 54.55/8.18  |                 (v19 = e2 &  ~ (unit = e4))) & ( ~ (v17 = e4) | (v19 = e1 &  ~
% 54.55/8.18  |                   (unit = e4))) & ( ~ (v16 = e4) | (v19 = e0 &  ~ (unit =
% 54.55/8.19  |                     e4))) & ( ~ (v15 = e4) | (v19 = e3 &  ~ (unit = e4))) & (
% 54.55/8.19  |                 ~ (v14 = e4) |  ~ (unit = e4)) & ( ~ (v13 = e4) | (v14 = e3 & 
% 54.55/8.19  |                   ~ (unit = e4))) & ( ~ (v12 = e4) | (v14 = e1 &  ~ (unit =
% 54.55/8.19  |                     e4))) & ( ~ (v11 = e4) | (v14 = e0 &  ~ (unit = e4))) & (
% 54.55/8.19  |                 ~ (v10 = e4) | (v14 = e2 &  ~ (unit = e4))) & ( ~ (v9 = e4) | 
% 54.55/8.19  |                 ~ (unit = e4)) & ( ~ (v8 = e4) | (v9 = e3 &  ~ (unit = e4))) &
% 54.55/8.19  |               ( ~ (v7 = e4) | (v9 = e2 &  ~ (unit = e4))) & ( ~ (v6 = e4) |
% 54.55/8.19  |                 (v9 = e0 &  ~ (unit = e4))) & ( ~ (v5 = e4) | (v9 = e1 &  ~
% 54.55/8.19  |                   (unit = e4))) & ( ~ (v4 = e4) |  ~ (unit = e4)) & ( ~ (v3 =
% 54.55/8.19  |                   e4) | (v4 = e3 &  ~ (unit = e4))) & ( ~ (v2 = e4) | (v4 = e2
% 54.55/8.19  |                   &  ~ (unit = e4))) & ( ~ (v1 = e4) | (v4 = e1 &  ~ (unit =
% 54.55/8.19  |                     e4))) & ( ~ (v0 = e4) | (v4 = e0 &  ~ (unit = e4)))) | ((
% 54.55/8.19  |                 ~ (v24 = e3) |  ~ (unit = e3)) & ( ~ (v23 = e3) | (v24 = e2 & 
% 54.55/8.19  |                   ~ (unit = e3))) & ( ~ (v22 = e3) | (v24 = e1 &  ~ (unit =
% 54.55/8.19  |                     e3))) & ( ~ (v21 = e3) | (v24 = e0 &  ~ (unit = e3))) & (
% 54.55/8.19  |                 ~ (v20 = e3) | (v24 = e4 &  ~ (unit = e3))) & ( ~ (v19 = e3) |
% 54.55/8.19  |                 (v15 = e4 &  ~ (unit = e3))) & ( ~ (v18 = e3) | (v15 = e2 &  ~
% 54.55/8.19  |                   (unit = e3))) & ( ~ (v17 = e3) | (v15 = e1 &  ~ (unit =
% 54.55/8.19  |                     e3))) & ( ~ (v16 = e3) | (v15 = e0 &  ~ (unit = e3))) & (
% 54.55/8.19  |                 ~ (v15 = e3) |  ~ (unit = e3)) & ( ~ (v14 = e3) | (v13 = e4 & 
% 54.55/8.19  |                   ~ (unit = e3))) & ( ~ (v13 = e3) |  ~ (unit = e3)) & ( ~
% 54.55/8.19  |                 (v12 = e3) | (v13 = e1 &  ~ (unit = e3))) & ( ~ (v11 = e3) |
% 54.55/8.19  |                 (v13 = e0 &  ~ (unit = e3))) & ( ~ (v10 = e3) | (v13 = e2 &  ~
% 54.55/8.19  |                   (unit = e3))) & ( ~ (v9 = e3) | (v8 = e4 &  ~ (unit = e3)))
% 54.55/8.19  |               & ( ~ (v8 = e3) |  ~ (unit = e3)) & ( ~ (v7 = e3) | (v8 = e2 & 
% 54.55/8.19  |                   ~ (unit = e3))) & ( ~ (v6 = e3) | (v8 = e0 &  ~ (unit =
% 54.55/8.19  |                     e3))) & ( ~ (v5 = e3) | (v8 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.19  |                 (v4 = e3) | (v3 = e4 &  ~ (unit = e3))) & ( ~ (v3 = e3) |  ~
% 54.55/8.19  |                 (unit = e3)) & ( ~ (v2 = e3) | (v3 = e2 &  ~ (unit = e3))) & (
% 54.55/8.19  |                 ~ (v1 = e3) | (v3 = e1 &  ~ (unit = e3))) & ( ~ (v0 = e3) |
% 54.55/8.19  |                 (v3 = e0 &  ~ (unit = e3)))) | (( ~ (v24 = e2) | (v23 = e3 & 
% 54.55/8.19  |                   ~ (unit = e2))) & ( ~ (v23 = e2) |  ~ (unit = e2)) & ( ~
% 54.55/8.19  |                 (v22 = e2) | (v23 = e1 &  ~ (unit = e2))) & ( ~ (v21 = e2) |
% 54.55/8.19  |                 (v23 = e0 &  ~ (unit = e2))) & ( ~ (v20 = e2) | (v23 = e4 &  ~
% 54.55/8.19  |                   (unit = e2))) & ( ~ (v19 = e2) | (v18 = e4 &  ~ (unit =
% 54.55/8.19  |                     e2))) & ( ~ (v18 = e2) |  ~ (unit = e2)) & ( ~ (v17 = e2)
% 54.55/8.19  |                 | (v18 = e1 &  ~ (unit = e2))) & ( ~ (v16 = e2) | (v18 = e0 & 
% 54.55/8.19  |                   ~ (unit = e2))) & ( ~ (v15 = e2) | (v18 = e3 &  ~ (unit =
% 54.55/8.19  |                     e2))) & ( ~ (v14 = e2) | (v10 = e4 &  ~ (unit = e2))) & (
% 54.55/8.19  |                 ~ (v13 = e2) | (v10 = e3 &  ~ (unit = e2))) & ( ~ (v12 = e2) |
% 54.55/8.19  |                 (v10 = e1 &  ~ (unit = e2))) & ( ~ (v11 = e2) | (v10 = e0 &  ~
% 54.55/8.19  |                   (unit = e2))) & ( ~ (v10 = e2) |  ~ (unit = e2)) & ( ~ (v9 =
% 54.55/8.19  |                   e2) | (v7 = e4 &  ~ (unit = e2))) & ( ~ (v8 = e2) | (v7 = e3
% 54.55/8.19  |                   &  ~ (unit = e2))) & ( ~ (v7 = e2) |  ~ (unit = e2)) & ( ~
% 54.55/8.19  |                 (v6 = e2) | (v7 = e0 &  ~ (unit = e2))) & ( ~ (v5 = e2) | (v7
% 54.55/8.19  |                   = e1 &  ~ (unit = e2))) & ( ~ (v4 = e2) | (v2 = e4 &  ~
% 54.55/8.19  |                   (unit = e2))) & ( ~ (v3 = e2) | (v2 = e3 &  ~ (unit = e2)))
% 54.55/8.19  |               & ( ~ (v2 = e2) |  ~ (unit = e2)) & ( ~ (v1 = e2) | (v2 = e1 & 
% 54.55/8.19  |                   ~ (unit = e2))) & ( ~ (v0 = e2) | (v2 = e0 &  ~ (unit =
% 54.55/8.19  |                     e2)))) | (( ~ (v24 = e1) | (v22 = e3 &  ~ (unit = e1))) &
% 54.55/8.19  |               ( ~ (v23 = e1) | (v22 = e2 &  ~ (unit = e1))) & ( ~ (v22 = e1) |
% 54.55/8.19  |                  ~ (unit = e1)) & ( ~ (v21 = e1) | (v22 = e0 &  ~ (unit =
% 54.55/8.19  |                     e1))) & ( ~ (v20 = e1) | (v22 = e4 &  ~ (unit = e1))) & (
% 54.55/8.19  |                 ~ (v19 = e1) | (v17 = e4 &  ~ (unit = e1))) & ( ~ (v18 = e1) |
% 54.55/8.19  |                 (v17 = e2 &  ~ (unit = e1))) & ( ~ (v17 = e1) |  ~ (unit =
% 54.55/8.19  |                   e1)) & ( ~ (v16 = e1) | (v17 = e0 &  ~ (unit = e1))) & ( ~
% 54.55/8.19  |                 (v15 = e1) | (v17 = e3 &  ~ (unit = e1))) & ( ~ (v14 = e1) |
% 54.55/8.19  |                 (v12 = e4 &  ~ (unit = e1))) & ( ~ (v13 = e1) | (v12 = e3 &  ~
% 54.55/8.19  |                   (unit = e1))) & ( ~ (v12 = e1) |  ~ (unit = e1)) & ( ~ (v11
% 54.55/8.19  |                   = e1) | (v12 = e0 &  ~ (unit = e1))) & ( ~ (v10 = e1) | (v12
% 54.55/8.19  |                   = e2 &  ~ (unit = e1))) & ( ~ (v9 = e1) | (v5 = e4 &  ~
% 54.55/8.19  |                   (unit = e1))) & ( ~ (v8 = e1) | (v5 = e3 &  ~ (unit = e1)))
% 54.55/8.19  |               & ( ~ (v7 = e1) | (v5 = e2 &  ~ (unit = e1))) & ( ~ (v6 = e1) |
% 54.55/8.19  |                 (v5 = e0 &  ~ (unit = e1))) & ( ~ (v5 = e1) |  ~ (unit = e1))
% 54.55/8.19  |               & ( ~ (v4 = e1) | (v1 = e4 &  ~ (unit = e1))) & ( ~ (v3 = e1) |
% 54.55/8.19  |                 (v1 = e3 &  ~ (unit = e1))) & ( ~ (v2 = e1) | (v1 = e2 &  ~
% 54.55/8.19  |                   (unit = e1))) & ( ~ (v1 = e1) |  ~ (unit = e1)) & ( ~ (v0 =
% 54.55/8.19  |                   e1) | (v1 = e0 &  ~ (unit = e1)))) | (( ~ (v24 = e0) | (v21
% 54.55/8.19  |                   = e3 &  ~ (unit = e0))) & ( ~ (v23 = e0) | (v21 = e2 &  ~
% 54.55/8.19  |                   (unit = e0))) & ( ~ (v22 = e0) | (v21 = e1 &  ~ (unit =
% 54.55/8.19  |                     e0))) & ( ~ (v21 = e0) |  ~ (unit = e0)) & ( ~ (v20 = e0)
% 54.55/8.19  |                 | (v21 = e4 &  ~ (unit = e0))) & ( ~ (v19 = e0) | (v16 = e4 & 
% 54.55/8.19  |                   ~ (unit = e0))) & ( ~ (v18 = e0) | (v16 = e2 &  ~ (unit =
% 54.55/8.19  |                     e0))) & ( ~ (v17 = e0) | (v16 = e1 &  ~ (unit = e0))) & (
% 54.55/8.19  |                 ~ (v16 = e0) |  ~ (unit = e0)) & ( ~ (v15 = e0) | (v16 = e3 & 
% 54.55/8.19  |                   ~ (unit = e0))) & ( ~ (v14 = e0) | (v11 = e4 &  ~ (unit =
% 54.55/8.19  |                     e0))) & ( ~ (v13 = e0) | (v11 = e3 &  ~ (unit = e0))) & (
% 54.55/8.19  |                 ~ (v12 = e0) | (v11 = e1 &  ~ (unit = e0))) & ( ~ (v11 = e0) |
% 54.55/8.19  |                  ~ (unit = e0)) & ( ~ (v10 = e0) | (v11 = e2 &  ~ (unit =
% 54.55/8.19  |                     e0))) & ( ~ (v9 = e0) | (v6 = e4 &  ~ (unit = e0))) & ( ~
% 54.55/8.19  |                 (v8 = e0) | (v6 = e3 &  ~ (unit = e0))) & ( ~ (v7 = e0) | (v6
% 54.55/8.19  |                   = e2 &  ~ (unit = e0))) & ( ~ (v6 = e0) |  ~ (unit = e0)) &
% 54.55/8.19  |               ( ~ (v5 = e0) | (v6 = e1 &  ~ (unit = e0))) & ( ~ (v4 = e0) |
% 54.55/8.19  |                 (v0 = e4 &  ~ (unit = e0))) & ( ~ (v3 = e0) | (v0 = e3 &  ~
% 54.55/8.19  |                   (unit = e0))) & ( ~ (v2 = e0) | (v0 = e2 &  ~ (unit = e0)))
% 54.55/8.19  |               & ( ~ (v1 = e0) | (v0 = e1 &  ~ (unit = e0))) & ( ~ (v0 = e0) | 
% 54.55/8.19  |                 ~ (unit = e0)))))
% 54.55/8.19  | 
% 54.55/8.19  | DELTA: instantiating (13) with fresh symbols all_4_0, all_4_1, all_4_2,
% 54.55/8.19  |        all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 54.55/8.19  |        all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 54.55/8.19  |        all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 54.55/8.19  |        all_4_24 gives:
% 54.55/8.19  |   (26)   ~ (all_4_0 = all_4_1) &  ~ (all_4_0 = all_4_2) &  ~ (all_4_0 =
% 54.55/8.19  |           all_4_3) &  ~ (all_4_0 = all_4_4) &  ~ (all_4_0 = all_4_5) &  ~
% 54.55/8.19  |         (all_4_0 = all_4_10) &  ~ (all_4_0 = all_4_15) &  ~ (all_4_0 =
% 54.55/8.19  |           all_4_20) &  ~ (all_4_1 = all_4_2) &  ~ (all_4_1 = all_4_3) &  ~
% 54.55/8.19  |         (all_4_1 = all_4_4) &  ~ (all_4_1 = all_4_6) &  ~ (all_4_1 = all_4_11)
% 54.55/8.19  |         &  ~ (all_4_1 = all_4_16) &  ~ (all_4_1 = all_4_21) &  ~ (all_4_2 =
% 54.55/8.19  |           all_4_3) &  ~ (all_4_2 = all_4_4) &  ~ (all_4_2 = all_4_7) &  ~
% 54.55/8.19  |         (all_4_2 = all_4_12) &  ~ (all_4_2 = all_4_17) &  ~ (all_4_2 =
% 54.55/8.19  |           all_4_22) &  ~ (all_4_3 = all_4_4) &  ~ (all_4_3 = all_4_8) &  ~
% 54.55/8.19  |         (all_4_3 = all_4_13) &  ~ (all_4_3 = all_4_18) &  ~ (all_4_3 =
% 54.55/8.19  |           all_4_23) &  ~ (all_4_4 = all_4_9) &  ~ (all_4_4 = all_4_14) &  ~
% 54.55/8.19  |         (all_4_4 = all_4_19) &  ~ (all_4_4 = all_4_24) &  ~ (all_4_5 =
% 54.55/8.19  |           all_4_6) &  ~ (all_4_5 = all_4_7) &  ~ (all_4_5 = all_4_8) &  ~
% 54.55/8.19  |         (all_4_5 = all_4_9) &  ~ (all_4_5 = all_4_10) &  ~ (all_4_5 =
% 54.55/8.19  |           all_4_15) &  ~ (all_4_5 = all_4_20) &  ~ (all_4_6 = all_4_7) &  ~
% 54.55/8.19  |         (all_4_6 = all_4_8) &  ~ (all_4_6 = all_4_9) &  ~ (all_4_6 = all_4_11)
% 54.55/8.19  |         &  ~ (all_4_6 = all_4_16) &  ~ (all_4_6 = all_4_21) &  ~ (all_4_7 =
% 54.55/8.19  |           all_4_8) &  ~ (all_4_7 = all_4_9) &  ~ (all_4_7 = all_4_12) &  ~
% 54.55/8.19  |         (all_4_7 = all_4_17) &  ~ (all_4_7 = all_4_22) &  ~ (all_4_8 =
% 54.55/8.19  |           all_4_9) &  ~ (all_4_8 = all_4_13) &  ~ (all_4_8 = all_4_18) &  ~
% 54.55/8.19  |         (all_4_8 = all_4_23) &  ~ (all_4_9 = all_4_14) &  ~ (all_4_9 =
% 54.55/8.19  |           all_4_19) &  ~ (all_4_9 = all_4_24) &  ~ (all_4_10 = all_4_11) &  ~
% 54.55/8.19  |         (all_4_10 = all_4_12) &  ~ (all_4_10 = all_4_13) &  ~ (all_4_10 =
% 54.55/8.19  |           all_4_14) &  ~ (all_4_10 = all_4_15) &  ~ (all_4_10 = all_4_20) &  ~
% 54.55/8.19  |         (all_4_11 = all_4_12) &  ~ (all_4_11 = all_4_13) &  ~ (all_4_11 =
% 54.55/8.19  |           all_4_14) &  ~ (all_4_11 = all_4_16) &  ~ (all_4_11 = all_4_21) &  ~
% 54.55/8.19  |         (all_4_12 = all_4_13) &  ~ (all_4_12 = all_4_14) &  ~ (all_4_12 =
% 54.55/8.19  |           all_4_17) &  ~ (all_4_12 = all_4_22) &  ~ (all_4_13 = all_4_14) &  ~
% 54.55/8.19  |         (all_4_13 = all_4_18) &  ~ (all_4_13 = all_4_23) &  ~ (all_4_14 =
% 54.55/8.19  |           all_4_19) &  ~ (all_4_14 = all_4_24) &  ~ (all_4_15 = all_4_16) &  ~
% 54.55/8.19  |         (all_4_15 = all_4_17) &  ~ (all_4_15 = all_4_18) &  ~ (all_4_15 =
% 54.55/8.19  |           all_4_19) &  ~ (all_4_15 = all_4_20) &  ~ (all_4_16 = all_4_17) &  ~
% 54.55/8.19  |         (all_4_16 = all_4_18) &  ~ (all_4_16 = all_4_19) &  ~ (all_4_16 =
% 54.55/8.19  |           all_4_21) &  ~ (all_4_17 = all_4_18) &  ~ (all_4_17 = all_4_19) &  ~
% 54.55/8.19  |         (all_4_17 = all_4_22) &  ~ (all_4_18 = all_4_19) &  ~ (all_4_18 =
% 54.55/8.19  |           all_4_23) &  ~ (all_4_19 = all_4_24) &  ~ (all_4_20 = all_4_21) &  ~
% 54.55/8.19  |         (all_4_20 = all_4_22) &  ~ (all_4_20 = all_4_23) &  ~ (all_4_20 =
% 54.55/8.19  |           all_4_24) &  ~ (all_4_21 = all_4_22) &  ~ (all_4_21 = all_4_23) &  ~
% 54.55/8.19  |         (all_4_21 = all_4_24) &  ~ (all_4_22 = all_4_23) &  ~ (all_4_22 =
% 54.55/8.19  |           all_4_24) &  ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 54.55/8.19  |           e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 54.55/8.19  |         op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 54.55/8.19  |         op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 54.55/8.19  |         & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 54.55/8.19  |         & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 54.55/8.19  |         & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 54.55/8.19  |         & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 54.55/8.19  |         & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 54.55/8.19  |         all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 54.55/8.19  |         $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 54.55/8.19  |         $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 54.55/8.19  |         $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 54.55/8.19  |         $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 54.55/8.19  |         $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 54.55/8.19  | 
% 54.55/8.19  | ALPHA: (26) implies:
% 54.55/8.20  |   (27)   ~ (all_4_23 = all_4_24)
% 54.55/8.20  |   (28)   ~ (all_4_22 = all_4_24)
% 54.55/8.20  |   (29)   ~ (all_4_22 = all_4_23)
% 54.55/8.20  |   (30)   ~ (all_4_21 = all_4_24)
% 54.55/8.20  |   (31)   ~ (all_4_21 = all_4_23)
% 54.55/8.20  |   (32)   ~ (all_4_21 = all_4_22)
% 54.55/8.20  |   (33)   ~ (all_4_20 = all_4_24)
% 54.55/8.20  |   (34)   ~ (all_4_20 = all_4_23)
% 54.55/8.20  |   (35)   ~ (all_4_20 = all_4_22)
% 54.55/8.20  |   (36)   ~ (all_4_20 = all_4_21)
% 54.55/8.20  |   (37)   ~ (all_4_19 = all_4_24)
% 54.55/8.20  |   (38)   ~ (all_4_18 = all_4_23)
% 54.55/8.20  |   (39)   ~ (all_4_18 = all_4_19)
% 54.55/8.20  |   (40)   ~ (all_4_17 = all_4_22)
% 54.55/8.20  |   (41)   ~ (all_4_17 = all_4_19)
% 54.55/8.20  |   (42)   ~ (all_4_17 = all_4_18)
% 54.55/8.20  |   (43)   ~ (all_4_16 = all_4_21)
% 54.55/8.20  |   (44)   ~ (all_4_16 = all_4_19)
% 54.55/8.20  |   (45)   ~ (all_4_16 = all_4_18)
% 54.55/8.20  |   (46)   ~ (all_4_16 = all_4_17)
% 54.55/8.20  |   (47)   ~ (all_4_15 = all_4_20)
% 54.55/8.20  |   (48)   ~ (all_4_15 = all_4_19)
% 54.55/8.20  |   (49)   ~ (all_4_15 = all_4_18)
% 54.55/8.20  |   (50)   ~ (all_4_15 = all_4_17)
% 54.55/8.20  |   (51)   ~ (all_4_15 = all_4_16)
% 54.55/8.20  |   (52)   ~ (all_4_14 = all_4_24)
% 54.55/8.20  |   (53)   ~ (all_4_14 = all_4_19)
% 54.55/8.20  |   (54)   ~ (all_4_13 = all_4_23)
% 54.55/8.20  |   (55)   ~ (all_4_13 = all_4_18)
% 54.55/8.20  |   (56)   ~ (all_4_13 = all_4_14)
% 54.55/8.20  |   (57)   ~ (all_4_12 = all_4_22)
% 54.55/8.20  |   (58)   ~ (all_4_12 = all_4_17)
% 54.55/8.20  |   (59)   ~ (all_4_12 = all_4_14)
% 54.55/8.20  |   (60)   ~ (all_4_12 = all_4_13)
% 54.55/8.20  |   (61)   ~ (all_4_11 = all_4_21)
% 54.55/8.20  |   (62)   ~ (all_4_11 = all_4_16)
% 54.55/8.20  |   (63)   ~ (all_4_11 = all_4_14)
% 54.55/8.20  |   (64)   ~ (all_4_11 = all_4_13)
% 54.55/8.20  |   (65)   ~ (all_4_11 = all_4_12)
% 54.55/8.20  |   (66)   ~ (all_4_10 = all_4_15)
% 54.55/8.20  |   (67)   ~ (all_4_10 = all_4_14)
% 54.55/8.20  |   (68)   ~ (all_4_10 = all_4_12)
% 54.55/8.20  |   (69)   ~ (all_4_10 = all_4_11)
% 54.55/8.20  |   (70)   ~ (all_4_9 = all_4_24)
% 54.55/8.20  |   (71)   ~ (all_4_9 = all_4_19)
% 54.55/8.20  |   (72)   ~ (all_4_9 = all_4_14)
% 54.55/8.20  |   (73)   ~ (all_4_8 = all_4_23)
% 54.55/8.20  |   (74)   ~ (all_4_8 = all_4_18)
% 54.55/8.20  |   (75)   ~ (all_4_8 = all_4_13)
% 54.55/8.20  |   (76)   ~ (all_4_8 = all_4_9)
% 54.55/8.20  |   (77)   ~ (all_4_7 = all_4_22)
% 54.55/8.20  |   (78)   ~ (all_4_7 = all_4_17)
% 54.55/8.20  |   (79)   ~ (all_4_7 = all_4_12)
% 54.55/8.20  |   (80)   ~ (all_4_7 = all_4_9)
% 54.55/8.20  |   (81)   ~ (all_4_7 = all_4_8)
% 54.55/8.20  |   (82)   ~ (all_4_6 = all_4_21)
% 54.55/8.20  |   (83)   ~ (all_4_6 = all_4_16)
% 54.55/8.20  |   (84)   ~ (all_4_6 = all_4_11)
% 54.55/8.20  |   (85)   ~ (all_4_6 = all_4_9)
% 54.55/8.20  |   (86)   ~ (all_4_6 = all_4_8)
% 54.55/8.20  |   (87)   ~ (all_4_6 = all_4_7)
% 54.55/8.20  |   (88)   ~ (all_4_5 = all_4_20)
% 54.55/8.20  |   (89)   ~ (all_4_5 = all_4_15)
% 54.55/8.20  |   (90)   ~ (all_4_5 = all_4_10)
% 54.55/8.20  |   (91)   ~ (all_4_5 = all_4_9)
% 54.55/8.20  |   (92)   ~ (all_4_5 = all_4_8)
% 54.55/8.20  |   (93)   ~ (all_4_5 = all_4_7)
% 54.55/8.20  |   (94)   ~ (all_4_5 = all_4_6)
% 54.55/8.20  |   (95)   ~ (all_4_4 = all_4_24)
% 54.55/8.20  |   (96)   ~ (all_4_4 = all_4_19)
% 54.55/8.20  |   (97)   ~ (all_4_4 = all_4_14)
% 54.55/8.20  |   (98)   ~ (all_4_4 = all_4_9)
% 54.55/8.20  |   (99)   ~ (all_4_3 = all_4_23)
% 54.55/8.20  |   (100)   ~ (all_4_3 = all_4_18)
% 54.55/8.20  |   (101)   ~ (all_4_3 = all_4_13)
% 54.55/8.20  |   (102)   ~ (all_4_3 = all_4_8)
% 54.55/8.20  |   (103)   ~ (all_4_3 = all_4_4)
% 54.55/8.20  |   (104)   ~ (all_4_2 = all_4_22)
% 54.55/8.21  |   (105)   ~ (all_4_2 = all_4_17)
% 54.55/8.21  |   (106)   ~ (all_4_2 = all_4_12)
% 54.55/8.21  |   (107)   ~ (all_4_2 = all_4_7)
% 54.55/8.21  |   (108)   ~ (all_4_2 = all_4_4)
% 54.55/8.21  |   (109)   ~ (all_4_2 = all_4_3)
% 54.55/8.21  |   (110)   ~ (all_4_1 = all_4_21)
% 54.55/8.21  |   (111)   ~ (all_4_1 = all_4_16)
% 54.55/8.21  |   (112)   ~ (all_4_1 = all_4_11)
% 54.55/8.21  |   (113)   ~ (all_4_1 = all_4_6)
% 54.55/8.21  |   (114)   ~ (all_4_1 = all_4_4)
% 54.55/8.21  |   (115)   ~ (all_4_1 = all_4_3)
% 54.55/8.21  |   (116)   ~ (all_4_1 = all_4_2)
% 54.55/8.21  |   (117)   ~ (all_4_0 = all_4_20)
% 54.55/8.21  |   (118)   ~ (all_4_0 = all_4_15)
% 54.55/8.21  |   (119)   ~ (all_4_0 = all_4_10)
% 54.55/8.21  |   (120)   ~ (all_4_0 = all_4_5)
% 54.55/8.21  |   (121)   ~ (all_4_0 = all_4_4)
% 54.55/8.21  |   (122)   ~ (all_4_0 = all_4_3)
% 54.55/8.21  |   (123)   ~ (all_4_0 = all_4_2)
% 54.55/8.21  |   (124)   ~ (all_4_0 = all_4_1)
% 54.55/8.21  |   (125)  op(e0, e0) = all_4_24
% 54.55/8.21  |   (126)  op(e0, e1) = all_4_19
% 54.55/8.21  |   (127)  op(e0, e2) = all_4_14
% 54.55/8.21  |   (128)  op(e0, e3) = all_4_9
% 54.55/8.21  |   (129)  op(e0, e4) = all_4_4
% 54.55/8.21  |   (130)  op(e1, e0) = all_4_23
% 54.55/8.21  |   (131)  op(e1, e1) = all_4_18
% 54.55/8.21  |   (132)  op(e1, e2) = all_4_13
% 54.55/8.21  |   (133)  op(e1, e3) = all_4_8
% 54.55/8.21  |   (134)  op(e1, e4) = all_4_3
% 54.55/8.21  |   (135)  op(e2, e0) = all_4_22
% 54.55/8.21  |   (136)  op(e2, e1) = all_4_17
% 54.55/8.21  |   (137)  op(e2, e2) = all_4_12
% 54.55/8.21  |   (138)  op(e2, e3) = all_4_7
% 54.55/8.21  |   (139)  op(e2, e4) = all_4_2
% 54.55/8.21  |   (140)  op(e3, e0) = all_4_21
% 54.55/8.21  |   (141)  op(e3, e1) = all_4_16
% 54.55/8.21  |   (142)  op(e3, e2) = all_4_11
% 54.55/8.21  |   (143)  op(e3, e3) = all_4_6
% 54.55/8.21  |   (144)  op(e3, e4) = all_4_1
% 54.55/8.21  |   (145)  op(e4, e0) = all_4_20
% 54.55/8.21  |   (146)  op(e4, e1) = all_4_15
% 54.55/8.21  |   (147)  op(e4, e2) = all_4_10
% 54.55/8.21  |   (148)  op(e4, e3) = all_4_5
% 54.55/8.21  |   (149)  op(e4, e4) = all_4_0
% 54.55/8.21  | 
% 54.55/8.21  | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 54.55/8.21  |        all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 54.55/8.21  |        all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 54.55/8.21  |        all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 54.55/8.21  |        all_6_24 gives:
% 54.55/8.21  |   (150)  op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 54.55/8.21  |          op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 54.55/8.21  |          op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 54.55/8.21  |          op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 54.55/8.21  |          & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 54.55/8.21  |          all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 54.55/8.21  |          = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 54.55/8.21  |            e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 54.55/8.21  |          op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 54.55/8.21  |          $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 54.55/8.21  |          $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 54.55/8.21  |          & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 54.55/8.21  |          $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 54.55/8.21  |          $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 54.55/8.21  |          $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 54.55/8.21  |            = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 54.55/8.21  |            | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 54.55/8.21  |            all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 54.55/8.21  |          (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 54.55/8.21  |            = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 54.55/8.21  |            | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 54.55/8.21  |            all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 54.55/8.21  |            all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 54.55/8.21  |            all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 54.55/8.21  |          (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 54.55/8.21  |            = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 54.55/8.21  |            | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 54.55/8.21  |            all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 54.55/8.21  |            all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 54.55/8.21  |            all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 54.55/8.21  |          (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 54.55/8.21  |            all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 54.55/8.21  |            all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 54.55/8.21  |            all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 54.55/8.21  |            all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 54.55/8.21  |          (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 54.55/8.21  |            all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 54.55/8.21  |            all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 54.55/8.21  |            all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 54.55/8.21  |            all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 54.55/8.21  |          (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 54.55/8.21  |            all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 54.55/8.21  |            all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 54.55/8.21  |            all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 54.55/8.21  |            all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 54.55/8.21  | 
% 54.55/8.21  | ALPHA: (150) implies:
% 54.55/8.22  |   (151)  op(e0, e0) = all_6_24
% 54.55/8.22  |   (152)  op(e0, e1) = all_6_23
% 54.55/8.22  |   (153)  op(e0, e2) = all_6_22
% 54.55/8.22  |   (154)  op(e0, e3) = all_6_21
% 54.55/8.22  |   (155)  op(e0, e4) = all_6_20
% 54.55/8.22  |   (156)  op(e1, e1) = all_6_18
% 54.55/8.22  |   (157)  op(e1, e2) = all_6_17
% 54.55/8.22  |   (158)  op(e1, e3) = all_6_16
% 54.55/8.22  |   (159)  op(e1, e4) = all_6_15
% 54.55/8.22  |   (160)  op(e2, e0) = all_6_14
% 54.55/8.22  |   (161)  op(e2, e1) = all_6_13
% 54.55/8.22  |   (162)  op(e2, e2) = all_6_12
% 54.55/8.22  |   (163)  op(e2, e3) = all_6_11
% 54.55/8.22  |   (164)  op(e2, e4) = all_6_10
% 54.55/8.22  |   (165)  op(e3, e0) = all_6_9
% 54.55/8.22  |   (166)  op(e3, e1) = all_6_8
% 54.55/8.22  |   (167)  op(e3, e2) = all_6_7
% 54.55/8.22  |   (168)  op(e3, e3) = all_6_6
% 54.55/8.22  |   (169)  op(e3, e4) = all_6_5
% 54.55/8.22  |   (170)  op(e4, e0) = all_6_4
% 54.55/8.22  |   (171)  op(e4, e1) = all_6_3
% 54.55/8.22  |   (172)  op(e4, e2) = all_6_2
% 54.55/8.22  |   (173)  op(e4, e3) = all_6_1
% 54.55/8.22  |   (174)  op(e4, e4) = all_6_0
% 54.55/8.22  |   (175)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 |
% 54.55/8.22  |          all_6_24 = e0
% 54.55/8.22  |   (176)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 54.55/8.22  |          all_6_23 = e0
% 54.55/8.22  |   (177)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 |
% 54.55/8.22  |          all_6_22 = e0
% 54.55/8.22  |   (178)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 54.55/8.22  |          all_6_21 = e0
% 54.55/8.22  |   (179)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 54.55/8.22  |          all_6_20 = e0
% 54.55/8.22  |   (180)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 54.55/8.22  |          all_6_17 = e0
% 54.55/8.22  |   (181)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 54.55/8.22  |          all_6_16 = e0
% 54.55/8.22  |   (182)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 54.55/8.22  |          all_6_15 = e0
% 54.55/8.22  |   (183)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 |
% 54.55/8.22  |          all_6_14 = e0
% 54.55/8.22  |   (184)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 54.55/8.22  |          all_6_13 = e0
% 54.55/8.22  |   (185)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 |
% 54.55/8.22  |          all_6_12 = e0
% 54.55/8.22  |   (186)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 54.55/8.22  |          all_6_11 = e0
% 54.55/8.22  |   (187)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (188)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (189)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (190)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (191)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (192)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (193)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (194)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 54.55/8.22  |          e0
% 54.55/8.22  |   (195)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 =
% 54.55/8.22  |          e0
% 54.55/8.22  | 
% 54.55/8.22  | DELTA: instantiating (12) with fresh symbols all_8_0, all_8_1, all_8_2,
% 54.55/8.22  |        all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 54.55/8.22  |        all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 54.55/8.22  |        all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 54.55/8.22  |        all_8_24 gives:
% 54.55/8.23  |   (196)  op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_4 &
% 54.55/8.23  |          op(e4, e1) = all_8_9 & op(e4, e0) = all_8_16 & op(e3, e4) = all_8_2 &
% 54.55/8.23  |          op(e3, e3) = all_8_3 & op(e3, e2) = all_8_5 & op(e3, e1) = all_8_10 &
% 54.55/8.23  |          op(e3, e0) = all_8_17 & op(e2, e4) = all_8_6 & op(e2, e3) = all_8_7 &
% 54.55/8.23  |          op(e2, e2) = all_8_8 & op(e2, e1) = all_8_11 & op(e2, e0) = all_8_18
% 54.55/8.23  |          & op(e1, e4) = all_8_12 & op(e1, e3) = all_8_13 & op(e1, e2) =
% 54.55/8.23  |          all_8_14 & op(e1, e1) = all_8_15 & op(e1, e0) = all_8_19 & op(e0, e4)
% 54.55/8.23  |          = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 & op(e0,
% 54.55/8.23  |            e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) & $i(all_8_1)
% 54.55/8.23  |          & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6)
% 54.55/8.23  |          & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) &
% 54.55/8.23  |          $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) &
% 54.55/8.23  |          $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) &
% 54.55/8.23  |          $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) &
% 54.55/8.23  |          $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_1 = e4 | all_8_4
% 54.55/8.23  |            = e4 | all_8_9 = e4 | all_8_16 = e4) & (all_8_0 = e4 | all_8_2 = e4
% 54.55/8.23  |            | all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4) & (all_8_0 = e3 |
% 54.55/8.23  |            all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3) &
% 54.55/8.23  |          (all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 54.55/8.23  |            all_8_20 = e3) & (all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 |
% 54.55/8.23  |            all_8_9 = e2 | all_8_16 = e2) & (all_8_0 = e2 | all_8_2 = e2 |
% 54.55/8.23  |            all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2) & (all_8_0 = e1 |
% 54.55/8.23  |            all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1) &
% 54.55/8.23  |          (all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 54.55/8.23  |            all_8_20 = e1) & (all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 |
% 54.55/8.23  |            all_8_9 = e0 | all_8_16 = e0) & (all_8_0 = e0 | all_8_2 = e0 |
% 54.55/8.23  |            all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0) & (all_8_1 = e4 |
% 54.55/8.23  |            all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4) &
% 54.55/8.23  |          (all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 54.55/8.23  |            all_8_21 = e3) & (all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 |
% 54.55/8.23  |            all_8_13 = e2 | all_8_21 = e2) & (all_8_1 = e1 | all_8_3 = e1 |
% 54.55/8.23  |            all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1) & (all_8_1 = e0 |
% 54.55/8.23  |            all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0) &
% 54.55/8.23  |          (all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 54.55/8.23  |            all_8_17 = e4) & (all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 |
% 54.55/8.23  |            all_8_10 = e3 | all_8_17 = e3) & (all_8_2 = e2 | all_8_3 = e2 |
% 54.55/8.23  |            all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2) & (all_8_2 = e1 |
% 54.55/8.23  |            all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1) &
% 54.55/8.23  |          (all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 54.55/8.23  |            all_8_17 = e0) & (all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 |
% 54.55/8.23  |            all_8_14 = e4 | all_8_22 = e4) & (all_8_4 = e3 | all_8_5 = e3 |
% 54.55/8.23  |            all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3) & (all_8_4 = e2 |
% 54.55/8.23  |            all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2) &
% 54.55/8.23  |          (all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 54.55/8.23  |            all_8_22 = e1) & (all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 |
% 54.55/8.23  |            all_8_14 = e0 | all_8_22 = e0) & (all_8_6 = e4 | all_8_7 = e4 |
% 54.55/8.23  |            all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4) & (all_8_6 = e3 |
% 54.55/8.23  |            all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3) &
% 54.55/8.23  |          (all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 54.55/8.23  |            all_8_18 = e2) & (all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 |
% 54.55/8.23  |            all_8_11 = e1 | all_8_18 = e1) & (all_8_6 = e0 | all_8_7 = e0 |
% 54.55/8.23  |            all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0) & (all_8_9 = e4 |
% 54.55/8.23  |            all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4) &
% 54.55/8.23  |          (all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 54.55/8.23  |            all_8_23 = e3) & (all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 |
% 54.55/8.23  |            all_8_15 = e2 | all_8_23 = e2) & (all_8_9 = e1 | all_8_10 = e1 |
% 54.55/8.23  |            all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1) & (all_8_9 = e0 |
% 54.55/8.23  |            all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0) &
% 54.55/8.23  |          (all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 54.55/8.23  |            all_8_19 = e4) & (all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 |
% 54.55/8.23  |            all_8_15 = e3 | all_8_19 = e3) & (all_8_12 = e2 | all_8_13 = e2 |
% 54.55/8.23  |            all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2) & (all_8_12 = e1 |
% 54.55/8.23  |            all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1) &
% 54.55/8.23  |          (all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 54.55/8.23  |            all_8_19 = e0) & (all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 |
% 54.55/8.23  |            all_8_19 = e4 | all_8_24 = e4) & (all_8_16 = e3 | all_8_17 = e3 |
% 54.55/8.23  |            all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3) & (all_8_16 = e2 |
% 54.55/8.23  |            all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2) &
% 54.55/8.23  |          (all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 54.55/8.23  |            all_8_24 = e1) & (all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 |
% 54.55/8.23  |            all_8_23 = e4 | all_8_24 = e4) & (all_8_20 = e3 | all_8_21 = e3 |
% 54.55/8.23  |            all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3) & (all_8_20 = e2 |
% 54.55/8.23  |            all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2) &
% 54.55/8.23  |          (all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 54.55/8.23  |            all_8_24 = e1) & (all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 |
% 54.55/8.23  |                all_8_18 = e0 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0
% 54.55/8.23  |                | all_8_22 = e0 | all_8_23 = e0)))
% 54.55/8.23  | 
% 54.55/8.23  | ALPHA: (196) implies:
% 54.55/8.23  |   (197)  op(e0, e0) = all_8_24
% 54.55/8.23  |   (198)  op(e0, e1) = all_8_23
% 54.55/8.23  |   (199)  op(e0, e2) = all_8_22
% 54.55/8.23  |   (200)  op(e0, e3) = all_8_21
% 54.55/8.23  |   (201)  op(e0, e4) = all_8_20
% 54.55/8.23  |   (202)  op(e1, e0) = all_8_19
% 54.55/8.23  |   (203)  op(e1, e1) = all_8_15
% 54.55/8.23  |   (204)  op(e1, e2) = all_8_14
% 54.55/8.23  |   (205)  op(e1, e3) = all_8_13
% 54.55/8.23  |   (206)  op(e1, e4) = all_8_12
% 54.55/8.23  |   (207)  op(e2, e0) = all_8_18
% 54.55/8.23  |   (208)  op(e2, e1) = all_8_11
% 54.55/8.23  |   (209)  op(e2, e2) = all_8_8
% 54.55/8.23  |   (210)  op(e2, e3) = all_8_7
% 54.55/8.23  |   (211)  op(e2, e4) = all_8_6
% 54.55/8.23  |   (212)  op(e3, e0) = all_8_17
% 54.55/8.23  |   (213)  op(e3, e1) = all_8_10
% 54.55/8.23  |   (214)  op(e3, e2) = all_8_5
% 54.55/8.23  |   (215)  op(e3, e3) = all_8_3
% 54.55/8.23  |   (216)  op(e3, e4) = all_8_2
% 54.55/8.23  |   (217)  op(e4, e0) = all_8_16
% 54.55/8.23  |   (218)  op(e4, e1) = all_8_9
% 54.55/8.23  |   (219)  op(e4, e2) = all_8_4
% 54.55/8.23  |   (220)  op(e4, e3) = all_8_1
% 54.55/8.23  |   (221)  op(e4, e4) = all_8_0
% 54.55/8.23  |   (222)  all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 |
% 54.55/8.23  |              all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 |
% 54.55/8.23  |              all_8_23 = e0))
% 54.55/8.23  |   (223)  all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 54.55/8.23  |          all_8_24 = e1
% 54.55/8.24  |   (224)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 |
% 54.55/8.24  |          all_8_24 = e2
% 54.55/8.24  |   (225)  all_8_20 = e3 | all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 54.55/8.24  |          all_8_24 = e3
% 54.55/8.24  |   (226)  all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 54.55/8.24  |          all_8_24 = e4
% 54.55/8.24  |   (227)  all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 54.55/8.24  |          all_8_24 = e2
% 54.55/8.24  |   (228)  all_8_16 = e3 | all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 54.55/8.24  |          all_8_24 = e3
% 54.55/8.24  |   (229)  all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 54.55/8.24  |          all_8_24 = e4
% 54.55/8.24  |   (230)  all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 54.55/8.24  |          all_8_19 = e2
% 54.55/8.24  |   (231)  all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 54.55/8.24  |          all_8_19 = e3
% 54.55/8.24  |   (232)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 54.55/8.24  |          all_8_19 = e4
% 54.55/8.24  |   (233)  all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 54.55/8.24  |          all_8_23 = e2
% 54.55/8.24  |   (234)  all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 54.55/8.24  |          all_8_23 = e3
% 54.55/8.24  |   (235)  all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 54.55/8.24  |          all_8_23 = e4
% 54.55/8.24  |   (236)  all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18
% 54.55/8.24  |          = e0
% 54.55/8.24  |   (237)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 54.55/8.24  |          = e1
% 54.55/8.24  |   (238)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18
% 54.55/8.24  |          = e4
% 54.55/8.24  |   (239)  all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22
% 54.55/8.24  |          = e0
% 54.55/8.24  |   (240)  all_8_4 = e3 | all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 | all_8_22
% 54.55/8.24  |          = e3
% 54.55/8.24  |   (241)  all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22
% 54.55/8.24  |          = e4
% 54.55/8.24  |   (242)  all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17
% 54.55/8.24  |          = e0
% 54.55/8.24  |   (243)  all_8_2 = e1 | all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17
% 54.55/8.24  |          = e1
% 54.55/8.24  |   (244)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17
% 54.55/8.24  |          = e2
% 54.55/8.24  |   (245)  all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17
% 54.55/8.24  |          = e4
% 54.55/8.24  |   (246)  all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21
% 54.55/8.24  |          = e0
% 54.55/8.24  |   (247)  all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21
% 54.55/8.24  |          = e1
% 54.55/8.24  |   (248)  all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21
% 54.55/8.24  |          = e2
% 54.55/8.24  |   (249)  all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | all_8_21
% 54.55/8.24  |          = e3
% 54.55/8.24  |   (250)  all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21
% 54.55/8.24  |          = e4
% 54.55/8.24  |   (251)  all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20
% 54.55/8.24  |          = e0
% 54.55/8.24  |   (252)  all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16
% 54.55/8.24  |          = e0
% 54.55/8.24  |   (253)  all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20
% 54.55/8.24  |          = e1
% 54.55/8.24  |   (254)  all_8_0 = e2 | all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 | all_8_20
% 54.55/8.24  |          = e2
% 54.55/8.24  |   (255)  all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16
% 54.55/8.24  |          = e2
% 54.55/8.24  |   (256)  all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16
% 54.55/8.24  |          = e3
% 54.55/8.24  |   (257)  all_8_0 = e4 | all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20
% 54.55/8.24  |          = e4
% 54.55/8.24  | 
% 54.55/8.24  | DELTA: instantiating (25) with fresh symbols all_10_0, all_10_1, all_10_2,
% 54.55/8.24  |        all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 54.55/8.24  |        all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 54.55/8.24  |        all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 54.55/8.24  |        all_10_22, all_10_23, all_10_24 gives:
% 54.55/8.25  |   (258)  op(e4, e4) = all_10_4 & op(e4, e3) = all_10_0 & op(e4, e2) = all_10_1
% 54.55/8.25  |          & op(e4, e1) = all_10_2 & op(e4, e0) = all_10_3 & op(e3, e4) =
% 54.55/8.25  |          all_10_5 & op(e3, e3) = all_10_9 & op(e3, e2) = all_10_6 & op(e3, e1)
% 54.55/8.25  |          = all_10_7 & op(e3, e0) = all_10_8 & op(e2, e4) = all_10_10 & op(e2,
% 54.55/8.25  |            e3) = all_10_11 & op(e2, e2) = all_10_14 & op(e2, e1) = all_10_12 &
% 54.55/8.25  |          op(e2, e0) = all_10_13 & op(e1, e4) = all_10_15 & op(e1, e3) =
% 54.55/8.25  |          all_10_16 & op(e1, e2) = all_10_17 & op(e1, e1) = all_10_19 & op(e1,
% 54.55/8.25  |            e0) = all_10_18 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 &
% 54.55/8.25  |          op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) =
% 54.55/8.25  |          all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3)
% 54.55/8.25  |          & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) &
% 54.55/8.25  |          $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) &
% 54.55/8.25  |          $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) &
% 54.55/8.25  |          $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) &
% 54.55/8.25  |          $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) &
% 54.55/8.25  |          $i(all_10_24) & ( ~ (all_10_4 = e3) | all_10_0 = e4) & ( ~ (all_10_4
% 54.55/8.25  |              = e2) | all_10_1 = e4) & ( ~ (all_10_4 = e1) | all_10_2 = e4) & (
% 54.55/8.25  |            ~ (all_10_4 = e0) | all_10_3 = e4) & ( ~ (all_10_9 = e4) | all_10_5
% 54.55/8.25  |            = e3) & ( ~ (all_10_9 = e2) | all_10_6 = e3) & ( ~ (all_10_9 = e1)
% 54.55/8.25  |            | all_10_7 = e3) & ( ~ (all_10_9 = e0) | all_10_8 = e3) & ( ~
% 54.55/8.25  |            (all_10_14 = e4) | all_10_10 = e2) & ( ~ (all_10_14 = e3) |
% 54.55/8.25  |            all_10_11 = e2) & ( ~ (all_10_14 = e1) | all_10_12 = e2) & ( ~
% 54.55/8.25  |            (all_10_14 = e0) | all_10_13 = e2) & ( ~ (all_10_19 = e4) |
% 54.55/8.25  |            all_10_15 = e1) & ( ~ (all_10_19 = e3) | all_10_16 = e1) & ( ~
% 54.55/8.25  |            (all_10_19 = e2) | all_10_17 = e1) & ( ~ (all_10_19 = e0) |
% 54.55/8.25  |            all_10_18 = e1) & ( ~ (all_10_24 = e4) | all_10_20 = e0) & ( ~
% 54.55/8.25  |            (all_10_24 = e3) | all_10_21 = e0) & ( ~ (all_10_24 = e2) |
% 54.55/8.25  |            all_10_22 = e0) & ( ~ (all_10_24 = e1) | all_10_23 = e0) & ((( ~
% 54.55/8.25  |                (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_1 = e4) | (all_10_4 = e2 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_2 = e4) | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_4 = e4) |  ~ (unit = e4)) & ( ~ (all_10_5 = e4) |  ~
% 54.55/8.25  |                (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit
% 54.55/8.25  |                    = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1 &  ~ (unit =
% 54.55/8.25  |                    e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 54.55/8.25  |                    e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 54.55/8.25  |                    e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 54.55/8.25  |                (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 54.55/8.25  |                (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 54.55/8.25  |                (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 54.55/8.25  |                (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 54.55/8.25  |                (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 54.55/8.25  |                (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 54.55/8.25  |                (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~
% 54.55/8.25  |                  (unit = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~
% 54.55/8.25  |                  (unit = e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~
% 54.55/8.25  |                  (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~
% 54.55/8.25  |                  (unit = e4)))) | (( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 54.55/8.25  |                (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_3 = e3) | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_5 = e3) | (all_10_9 = e4 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_6 = e3) | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_8 = e3) | (all_10_9 = e0 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_9 = e3) |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 54.55/8.25  |                (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~
% 54.55/8.25  |                (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e1 &  ~
% 54.55/8.25  |                  (unit = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e0 &  ~
% 54.55/8.25  |                  (unit = e3))) & ( ~ (all_10_14 = e3) | (all_10_11 = e2 &  ~
% 54.55/8.25  |                  (unit = e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~
% 54.55/8.25  |                  (unit = e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 54.55/8.25  |                (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_18 = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 54.55/8.25  |                (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 54.55/8.25  |                (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 54.55/8.25  |                (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 54.55/8.25  |                (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~ (all_10_0 = e2) |
% 54.55/8.25  |                (all_10_1 = e3 &  ~ (unit = e2))) & ( ~ (all_10_1 = e2) |  ~
% 54.55/8.25  |                (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &  ~ (unit
% 54.55/8.25  |                    = e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 &  ~ (unit =
% 54.55/8.25  |                    e2))) & ( ~ (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 54.55/8.25  |                    e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4 &  ~ (unit =
% 54.55/8.25  |                    e2))) & ( ~ (all_10_6 = e2) |  ~ (unit = e2)) & ( ~
% 54.55/8.25  |                (all_10_7 = e2) | (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_10 = e2) | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_14 = e2) |  ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 54.55/8.25  |                (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 54.55/8.25  |                (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~
% 54.55/8.25  |                (unit = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0 &  ~
% 54.55/8.25  |                  (unit = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e1 &  ~
% 54.55/8.25  |                  (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~
% 54.55/8.25  |                  (unit = e2))) & ( ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~
% 54.55/8.25  |                  (unit = e2))) & ( ~ (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 54.55/8.25  |                (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 54.55/8.25  |                (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 54.55/8.25  |                (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_1 = e1) | (all_10_2 = e2 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_2 = e1) |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 54.55/8.25  |                (all_10_2 = e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 54.55/8.25  |                (all_10_2 = e4 &  ~ (unit = e1))) & ( ~ (all_10_5 = e1) |
% 54.55/8.25  |                (all_10_7 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 54.55/8.25  |                (all_10_7 = e2 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 54.55/8.25  |                (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit
% 54.55/8.25  |                    = e1))) & ( ~ (all_10_9 = e1) | (all_10_7 = e3 &  ~ (unit =
% 54.55/8.25  |                    e1))) & ( ~ (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 54.55/8.25  |                    e1))) & ( ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 54.55/8.25  |                    e1))) & ( ~ (all_10_12 = e1) |  ~ (unit = e1)) & ( ~
% 54.55/8.25  |                (all_10_13 = e1) | (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_16 = e1) | (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_18 = e1) | (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 54.55/8.25  |                (all_10_19 = e1) |  ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 54.55/8.25  |                (all_10_23 = e4 &  ~ (unit = e1))) & ( ~ (all_10_21 = e1) |
% 54.55/8.25  |                (all_10_23 = e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1) |
% 54.55/8.25  |                (all_10_23 = e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |  ~
% 54.55/8.25  |                (unit = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 = e0 &  ~
% 54.55/8.25  |                  (unit = e1)))) | (( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_3 = e1 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 54.55/8.25  |                (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_6 = e0) | (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_8 = e0) |  ~ (unit = e0)) & ( ~ (all_10_9 = e0) |
% 54.55/8.25  |                (all_10_8 = e3 &  ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 54.55/8.25  |                (all_10_13 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0) |
% 54.55/8.25  |                (all_10_13 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 54.55/8.25  |                (all_10_13 = e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 54.55/8.25  |                (unit = e0)) & ( ~ (all_10_14 = e0) | (all_10_13 = e2 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_15 = e0) | (all_10_18 = e4 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_18 = e3 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_17 = e0) | (all_10_18 = e2 &  ~
% 54.55/8.25  |                  (unit = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 54.55/8.25  |                (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 54.55/8.25  |                (all_10_24 = e0) |  ~ (unit = e0))))
% 54.55/8.25  | 
% 54.55/8.25  | ALPHA: (258) implies:
% 54.55/8.26  |   (259)  op(e0, e0) = all_10_24
% 54.55/8.26  |   (260)  op(e0, e1) = all_10_23
% 54.55/8.26  |   (261)  op(e0, e2) = all_10_22
% 54.55/8.26  |   (262)  op(e0, e3) = all_10_21
% 54.55/8.26  |   (263)  op(e0, e4) = all_10_20
% 54.55/8.26  |   (264)  op(e1, e0) = all_10_18
% 54.55/8.26  |   (265)  op(e1, e1) = all_10_19
% 54.55/8.26  |   (266)  op(e1, e2) = all_10_17
% 54.55/8.26  |   (267)  op(e1, e3) = all_10_16
% 54.55/8.26  |   (268)  op(e1, e4) = all_10_15
% 54.55/8.26  |   (269)  op(e2, e0) = all_10_13
% 54.55/8.26  |   (270)  op(e2, e1) = all_10_12
% 54.55/8.26  |   (271)  op(e2, e2) = all_10_14
% 54.55/8.26  |   (272)  op(e2, e3) = all_10_11
% 54.55/8.26  |   (273)  op(e2, e4) = all_10_10
% 54.55/8.26  |   (274)  op(e3, e0) = all_10_8
% 54.55/8.26  |   (275)  op(e3, e1) = all_10_7
% 54.55/8.26  |   (276)  op(e3, e2) = all_10_6
% 54.55/8.26  |   (277)  op(e3, e3) = all_10_9
% 54.55/8.26  |   (278)  op(e3, e4) = all_10_5
% 54.55/8.26  |   (279)  op(e4, e0) = all_10_3
% 54.55/8.26  |   (280)  op(e4, e1) = all_10_2
% 54.55/8.26  |   (281)  op(e4, e2) = all_10_1
% 54.55/8.26  |   (282)  op(e4, e3) = all_10_0
% 54.55/8.26  |   (283)  op(e4, e4) = all_10_4
% 54.55/8.27  |   (284)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_1 = e4) | (all_10_4 = e2 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_2 = e4) | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_4 = e4) |  ~ (unit = e4)) & ( ~ (all_10_5 = e4) |  ~
% 54.55/8.27  |              (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 54.55/8.27  |                  e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1 &  ~ (unit =
% 54.55/8.27  |                  e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 54.55/8.27  |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 54.55/8.27  |                  e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 54.55/8.27  |              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 54.55/8.27  |              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 54.55/8.27  |              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 54.55/8.27  |              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 54.55/8.27  |              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 54.55/8.27  |              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 54.55/8.27  |              (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 54.55/8.27  |                  = e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 54.55/8.27  |                  e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 54.55/8.27  |                  e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 54.55/8.27  |                  e4)))) | (( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 54.55/8.27  |              (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_3 = e3) | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_5 = e3) | (all_10_9 = e4 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_6 = e3) | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_8 = e3) | (all_10_9 = e0 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_9 = e3) |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 54.55/8.27  |              (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~
% 54.55/8.27  |              (unit = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 54.55/8.27  |                  = e3))) & ( ~ (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 54.55/8.27  |                  e3))) & ( ~ (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit =
% 54.55/8.27  |                  e3))) & ( ~ (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit =
% 54.55/8.27  |                  e3))) & ( ~ (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 54.55/8.27  |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_18 = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 54.55/8.27  |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 54.55/8.27  |              (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 54.55/8.27  |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 54.55/8.27  |              (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~ (all_10_0 = e2) |
% 54.55/8.27  |              (all_10_1 = e3 &  ~ (unit = e2))) & ( ~ (all_10_1 = e2) |  ~
% 54.55/8.27  |              (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &  ~ (unit =
% 54.55/8.27  |                  e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 &  ~ (unit =
% 54.55/8.27  |                  e2))) & ( ~ (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 54.55/8.27  |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4 &  ~ (unit =
% 54.55/8.27  |                  e2))) & ( ~ (all_10_6 = e2) |  ~ (unit = e2)) & ( ~ (all_10_7
% 54.55/8.27  |                = e2) | (all_10_6 = e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2)
% 54.55/8.27  |              | (all_10_6 = e0 &  ~ (unit = e2))) & ( ~ (all_10_9 = e2) |
% 54.55/8.27  |              (all_10_6 = e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2) |
% 54.55/8.27  |              (all_10_14 = e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 54.55/8.27  |              (all_10_14 = e3 &  ~ (unit = e2))) & ( ~ (all_10_12 = e2) |
% 54.55/8.27  |              (all_10_14 = e1 &  ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 54.55/8.27  |              (all_10_14 = e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |  ~
% 54.55/8.27  |              (unit = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit
% 54.55/8.27  |                  = e2))) & ( ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 54.55/8.27  |                  e2))) & ( ~ (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 54.55/8.27  |              (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 54.55/8.27  |              (all_10_19 = e2) | (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 54.55/8.27  |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 54.55/8.27  |              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 54.55/8.27  |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 54.55/8.27  |              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 54.55/8.27  |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 54.55/8.27  |              (all_10_2 = e3 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) |
% 54.55/8.27  |              (all_10_2 = e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 54.55/8.27  |              (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 = e0 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_7 = e1) |  ~ (unit = e1)) & ( ~ (all_10_8
% 54.55/8.27  |                = e1) | (all_10_7 = e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1)
% 54.55/8.27  |              | (all_10_7 = e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1) |
% 54.55/8.27  |              (all_10_12 = e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1) |
% 54.55/8.27  |              (all_10_12 = e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |  ~
% 54.55/8.27  |              (unit = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 = e0 &  ~ (unit
% 54.55/8.27  |                  = e1))) & ( ~ (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_16 = e1) | (all_10_19 = e3 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_18 = e1) | (all_10_19 = e0 &  ~ (unit =
% 54.55/8.27  |                  e1))) & ( ~ (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 54.55/8.27  |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 54.55/8.27  |              (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 54.55/8.27  |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 54.55/8.27  |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 54.55/8.27  |              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 54.55/8.27  |              (all_10_3 = e3 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 54.55/8.27  |              (all_10_3 = e2 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 54.55/8.27  |              (all_10_3 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 = e0) |  ~
% 54.55/8.27  |              (unit = e0)) & ( ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_8 = e2 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_8 = e0) |  ~ (unit = e0)) & ( ~ (all_10_9
% 54.55/8.27  |                = e0) | (all_10_8 = e3 &  ~ (unit = e0))) & ( ~ (all_10_10 =
% 54.55/8.27  |                e0) | (all_10_13 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 = e0)
% 54.55/8.27  |              | (all_10_13 = e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0) |
% 54.55/8.27  |              (all_10_13 = e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 54.55/8.27  |              (unit = e0)) & ( ~ (all_10_14 = e0) | (all_10_13 = e2 &  ~ (unit
% 54.55/8.27  |                  = e0))) & ( ~ (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_16 = e0) | (all_10_18 = e3 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit =
% 54.55/8.27  |                  e0))) & ( ~ (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 54.55/8.27  |              (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit = e0))) & ( ~
% 54.55/8.27  |              (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 54.55/8.27  |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 54.55/8.27  |              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 54.55/8.27  |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 54.55/8.27  |              (all_10_24 = e0) |  ~ (unit = e0)))
% 54.55/8.27  |   (285)   ~ (all_10_24 = e2) | all_10_22 = e0
% 54.55/8.27  |   (286)   ~ (all_10_24 = e3) | all_10_21 = e0
% 54.55/8.27  |   (287)   ~ (all_10_24 = e4) | all_10_20 = e0
% 54.55/8.27  |   (288)   ~ (all_10_19 = e0) | all_10_18 = e1
% 54.55/8.27  |   (289)   ~ (all_10_14 = e0) | all_10_13 = e2
% 54.55/8.27  |   (290)   ~ (all_10_14 = e4) | all_10_10 = e2
% 54.55/8.27  |   (291)   ~ (all_10_9 = e0) | all_10_8 = e3
% 54.55/8.27  |   (292)   ~ (all_10_9 = e1) | all_10_7 = e3
% 54.55/8.27  |   (293)   ~ (all_10_9 = e2) | all_10_6 = e3
% 54.55/8.27  |   (294)   ~ (all_10_9 = e4) | all_10_5 = e3
% 54.55/8.27  |   (295)   ~ (all_10_4 = e0) | all_10_3 = e4
% 54.55/8.27  |   (296)   ~ (all_10_4 = e2) | all_10_1 = e4
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_24, e0, e0,
% 54.55/8.27  |              simplifying with (197), (259) gives:
% 54.55/8.27  |   (297)  all_10_24 = all_8_24
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_6_24, all_10_24, e0, e0,
% 54.55/8.27  |              simplifying with (151), (259) gives:
% 54.55/8.27  |   (298)  all_10_24 = all_6_24
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_24, e0, e0,
% 54.55/8.27  |              simplifying with (125), (259) gives:
% 54.55/8.27  |   (299)  all_10_24 = all_4_24
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_6_23, all_8_23, e1, e0,
% 54.55/8.27  |              simplifying with (152), (198) gives:
% 54.55/8.27  |   (300)  all_8_23 = all_6_23
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_23, e1, e0,
% 54.55/8.27  |              simplifying with (198), (260) gives:
% 54.55/8.27  |   (301)  all_10_23 = all_8_23
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_23, e1, e0,
% 54.55/8.27  |              simplifying with (126), (260) gives:
% 54.55/8.27  |   (302)  all_10_23 = all_4_19
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_22, e2, e0,
% 54.55/8.27  |              simplifying with (199), (261) gives:
% 54.55/8.27  |   (303)  all_10_22 = all_8_22
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_22, e2, e0,
% 54.55/8.27  |              simplifying with (153), (261) gives:
% 54.55/8.27  |   (304)  all_10_22 = all_6_22
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_22, e2, e0,
% 54.55/8.27  |              simplifying with (127), (261) gives:
% 54.55/8.27  |   (305)  all_10_22 = all_4_14
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_21, e3, e0,
% 54.55/8.27  |              simplifying with (154), (200) gives:
% 54.55/8.27  |   (306)  all_8_21 = all_6_21
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_21, e3, e0,
% 54.55/8.27  |              simplifying with (200), (262) gives:
% 54.55/8.27  |   (307)  all_10_21 = all_8_21
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_21, e3, e0,
% 54.55/8.27  |              simplifying with (128), (262) gives:
% 54.55/8.27  |   (308)  all_10_21 = all_4_9
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_20, e4, e0,
% 54.55/8.27  |              simplifying with (201), (263) gives:
% 54.55/8.27  |   (309)  all_10_20 = all_8_20
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_20, e4, e0,
% 54.55/8.27  |              simplifying with (155), (263) gives:
% 54.55/8.27  |   (310)  all_10_20 = all_6_20
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_20, e4, e0,
% 54.55/8.27  |              simplifying with (129), (263) gives:
% 54.55/8.27  |   (311)  all_10_20 = all_4_4
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_18, e0, e1,
% 54.55/8.27  |              simplifying with (202), (264) gives:
% 54.55/8.27  |   (312)  all_10_18 = all_8_19
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_18, e0, e1,
% 54.55/8.27  |              simplifying with (130), (264) gives:
% 54.55/8.27  |   (313)  all_10_18 = all_4_23
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_4_18, all_8_15, e1, e1,
% 54.55/8.27  |              simplifying with (131), (203) gives:
% 54.55/8.27  |   (314)  all_8_15 = all_4_18
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_19, e1, e1,
% 54.55/8.27  |              simplifying with (203), (265) gives:
% 54.55/8.27  |   (315)  all_10_19 = all_8_15
% 54.55/8.27  | 
% 54.55/8.27  | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_19, e1, e1,
% 54.55/8.27  |              simplifying with (156), (265) gives:
% 54.55/8.27  |   (316)  all_10_19 = all_6_18
% 54.55/8.27  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with e0, all_10_19, e1, e1,
% 54.55/8.28  |              simplifying with (22), (265) gives:
% 54.55/8.28  |   (317)  all_10_19 = e0
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_14, e2, e1,
% 54.55/8.28  |              simplifying with (157), (204) gives:
% 54.55/8.28  |   (318)  all_8_14 = all_6_17
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_17, e2, e1,
% 54.55/8.28  |              simplifying with (204), (266) gives:
% 54.55/8.28  |   (319)  all_10_17 = all_8_14
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_17, e2, e1,
% 54.55/8.28  |              simplifying with (132), (266) gives:
% 54.55/8.28  |   (320)  all_10_17 = all_4_13
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_13, e3, e1,
% 54.55/8.28  |              simplifying with (158), (205) gives:
% 54.55/8.28  |   (321)  all_8_13 = all_6_16
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_16, e3, e1,
% 54.55/8.28  |              simplifying with (205), (267) gives:
% 54.55/8.28  |   (322)  all_10_16 = all_8_13
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_16, e3, e1,
% 54.55/8.28  |              simplifying with (133), (267) gives:
% 54.55/8.28  |   (323)  all_10_16 = all_4_8
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_12, e4, e1,
% 54.55/8.28  |              simplifying with (159), (206) gives:
% 54.55/8.28  |   (324)  all_8_12 = all_6_15
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_15, e4, e1,
% 54.55/8.28  |              simplifying with (206), (268) gives:
% 54.55/8.28  |   (325)  all_10_15 = all_8_12
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_15, e4, e1,
% 54.55/8.28  |              simplifying with (134), (268) gives:
% 54.55/8.28  |   (326)  all_10_15 = all_4_3
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_13, e0, e2,
% 54.55/8.28  |              simplifying with (207), (269) gives:
% 54.55/8.28  |   (327)  all_10_13 = all_8_18
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_13, e0, e2,
% 54.55/8.28  |              simplifying with (160), (269) gives:
% 54.55/8.28  |   (328)  all_10_13 = all_6_14
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_22, all_10_13, e0, e2,
% 54.55/8.28  |              simplifying with (135), (269) gives:
% 54.55/8.28  |   (329)  all_10_13 = all_4_22
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_11, e1, e2,
% 54.55/8.28  |              simplifying with (161), (208) gives:
% 54.55/8.28  |   (330)  all_8_11 = all_6_13
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_12, e1, e2,
% 54.55/8.28  |              simplifying with (208), (270) gives:
% 54.55/8.28  |   (331)  all_10_12 = all_8_11
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_12, e1, e2,
% 54.55/8.28  |              simplifying with (136), (270) gives:
% 54.55/8.28  |   (332)  all_10_12 = all_4_17
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_8, e2, e2,
% 54.55/8.28  |              simplifying with (162), (209) gives:
% 54.55/8.28  |   (333)  all_8_8 = all_6_12
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_14, e2, e2,
% 54.55/8.28  |              simplifying with (209), (271) gives:
% 54.55/8.28  |   (334)  all_10_14 = all_8_8
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_12, all_10_14, e2, e2,
% 54.55/8.28  |              simplifying with (137), (271) gives:
% 54.55/8.28  |   (335)  all_10_14 = all_4_12
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_11, all_8_7, e3, e2,
% 54.55/8.28  |              simplifying with (163), (210) gives:
% 54.55/8.28  |   (336)  all_8_7 = all_6_11
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_11, e3, e2,
% 54.55/8.28  |              simplifying with (210), (272) gives:
% 54.55/8.28  |   (337)  all_10_11 = all_8_7
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_11, e3, e2,
% 54.55/8.28  |              simplifying with (138), (272) gives:
% 54.55/8.28  |   (338)  all_10_11 = all_4_7
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_6_10, e4, e2,
% 54.55/8.28  |              simplifying with (139), (164) gives:
% 54.55/8.28  |   (339)  all_6_10 = all_4_2
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_10, all_8_6, e4, e2,
% 54.55/8.28  |              simplifying with (164), (211) gives:
% 54.55/8.28  |   (340)  all_8_6 = all_6_10
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_10, e4, e2,
% 54.55/8.28  |              simplifying with (211), (273) gives:
% 54.55/8.28  |   (341)  all_10_10 = all_8_6
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with e3, all_10_10, e4, e2,
% 54.55/8.28  |              simplifying with (23), (273) gives:
% 54.55/8.28  |   (342)  all_10_10 = e3
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_17, all_10_8, e0, e3,
% 54.55/8.28  |              simplifying with (212), (274) gives:
% 54.55/8.28  |   (343)  all_10_8 = all_8_17
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_9, all_10_8, e0, e3,
% 54.55/8.28  |              simplifying with (165), (274) gives:
% 54.55/8.28  |   (344)  all_10_8 = all_6_9
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_8, e0, e3,
% 54.55/8.28  |              simplifying with (140), (274) gives:
% 54.55/8.28  |   (345)  all_10_8 = all_4_21
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_8, all_8_10, e1, e3,
% 54.55/8.28  |              simplifying with (166), (213) gives:
% 54.55/8.28  |   (346)  all_8_10 = all_6_8
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_10, all_10_7, e1, e3,
% 54.55/8.28  |              simplifying with (213), (275) gives:
% 54.55/8.28  |   (347)  all_10_7 = all_8_10
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_7, e1, e3,
% 54.55/8.28  |              simplifying with (141), (275) gives:
% 54.55/8.28  |   (348)  all_10_7 = all_4_16
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_7, all_8_5, e2, e3,
% 54.55/8.28  |              simplifying with (167), (214) gives:
% 54.55/8.28  |   (349)  all_8_5 = all_6_7
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_6, e2, e3,
% 54.55/8.28  |              simplifying with (214), (276) gives:
% 54.55/8.28  |   (350)  all_10_6 = all_8_5
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_6, e2, e3,
% 54.55/8.28  |              simplifying with (142), (276) gives:
% 54.55/8.28  |   (351)  all_10_6 = all_4_11
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_9, e3, e3,
% 54.55/8.28  |              simplifying with (215), (277) gives:
% 54.55/8.28  |   (352)  all_10_9 = all_8_3
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_9, e3, e3,
% 54.55/8.28  |              simplifying with (168), (277) gives:
% 54.55/8.28  |   (353)  all_10_9 = all_6_6
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_9, e3, e3,
% 54.55/8.28  |              simplifying with (143), (277) gives:
% 54.55/8.28  |   (354)  all_10_9 = all_4_6
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_2, e4, e3,
% 54.55/8.28  |              simplifying with (169), (216) gives:
% 54.55/8.28  |   (355)  all_8_2 = all_6_5
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_5, e4, e3,
% 54.55/8.28  |              simplifying with (216), (278) gives:
% 54.55/8.28  |   (356)  all_10_5 = all_8_2
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_5, e4, e3,
% 54.55/8.28  |              simplifying with (144), (278) gives:
% 54.55/8.28  |   (357)  all_10_5 = all_4_1
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_3, e0, e4,
% 54.55/8.28  |              simplifying with (217), (279) gives:
% 54.55/8.28  |   (358)  all_10_3 = all_8_16
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_6_4, all_10_3, e0, e4,
% 54.55/8.28  |              simplifying with (170), (279) gives:
% 54.55/8.28  |   (359)  all_10_3 = all_6_4
% 54.55/8.28  | 
% 54.55/8.28  | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_3, e0, e4,
% 54.55/8.28  |              simplifying with (145), (279) gives:
% 54.55/8.29  |   (360)  all_10_3 = all_4_20
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_9, e1, e4,
% 54.55/8.29  |              simplifying with (171), (218) gives:
% 54.55/8.29  |   (361)  all_8_9 = all_6_3
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_2, e1, e4,
% 54.55/8.29  |              simplifying with (218), (280) gives:
% 54.55/8.29  |   (362)  all_10_2 = all_8_9
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_2, e1, e4,
% 54.55/8.29  |              simplifying with (146), (280) gives:
% 54.55/8.29  |   (363)  all_10_2 = all_4_15
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_8_4, e2, e4,
% 54.55/8.29  |              simplifying with (172), (219) gives:
% 54.55/8.29  |   (364)  all_8_4 = all_6_2
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_4_10, all_8_4, e2, e4,
% 54.55/8.29  |              simplifying with (147), (219) gives:
% 54.55/8.29  |   (365)  all_8_4 = all_4_10
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_1, e2, e4,
% 54.55/8.29  |              simplifying with (172), (281) gives:
% 54.55/8.29  |   (366)  all_10_1 = all_6_2
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with e1, all_10_1, e2, e4,
% 54.55/8.29  |              simplifying with (24), (281) gives:
% 54.55/8.29  |   (367)  all_10_1 = e1
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_1, e3, e4,
% 54.55/8.29  |              simplifying with (173), (220) gives:
% 54.55/8.29  |   (368)  all_8_1 = all_6_1
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_8_1, all_10_0, e3, e4,
% 54.55/8.29  |              simplifying with (220), (282) gives:
% 54.55/8.29  |   (369)  all_10_0 = all_8_1
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_0, e3, e4,
% 54.55/8.29  |              simplifying with (148), (282) gives:
% 54.55/8.29  |   (370)  all_10_0 = all_4_5
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_4_0, all_8_0, e4, e4,
% 54.55/8.29  |              simplifying with (149), (221) gives:
% 54.55/8.29  |   (371)  all_8_0 = all_4_0
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_4, e4, e4,
% 54.55/8.29  |              simplifying with (221), (283) gives:
% 54.55/8.29  |   (372)  all_10_4 = all_8_0
% 54.55/8.29  | 
% 54.55/8.29  | GROUND_INST: instantiating (function-axioms) with all_6_0, all_10_4, e4, e4,
% 54.55/8.29  |              simplifying with (174), (283) gives:
% 54.55/8.29  |   (373)  all_10_4 = all_6_0
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (369), (370) imply:
% 54.55/8.29  |   (374)  all_8_1 = all_4_5
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (374) implies:
% 54.55/8.29  |   (375)  all_8_1 = all_4_5
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (366), (367) imply:
% 54.55/8.29  |   (376)  all_6_2 = e1
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (376) implies:
% 54.55/8.29  |   (377)  all_6_2 = e1
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (362), (363) imply:
% 54.55/8.29  |   (378)  all_8_9 = all_4_15
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (378) implies:
% 54.55/8.29  |   (379)  all_8_9 = all_4_15
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (358), (360) imply:
% 54.55/8.29  |   (380)  all_8_16 = all_4_20
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (358), (359) imply:
% 54.55/8.29  |   (381)  all_8_16 = all_6_4
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (372), (373) imply:
% 54.55/8.29  |   (382)  all_8_0 = all_6_0
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (382) implies:
% 54.55/8.29  |   (383)  all_8_0 = all_6_0
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (356), (357) imply:
% 54.55/8.29  |   (384)  all_8_2 = all_4_1
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (384) implies:
% 54.55/8.29  |   (385)  all_8_2 = all_4_1
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (350), (351) imply:
% 54.55/8.29  |   (386)  all_8_5 = all_4_11
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (386) implies:
% 54.55/8.29  |   (387)  all_8_5 = all_4_11
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (347), (348) imply:
% 54.55/8.29  |   (388)  all_8_10 = all_4_16
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (388) implies:
% 54.55/8.29  |   (389)  all_8_10 = all_4_16
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (343), (345) imply:
% 54.55/8.29  |   (390)  all_8_17 = all_4_21
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (343), (344) imply:
% 54.55/8.29  |   (391)  all_8_17 = all_6_9
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (352), (354) imply:
% 54.55/8.29  |   (392)  all_8_3 = all_4_6
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (352), (353) imply:
% 54.55/8.29  |   (393)  all_8_3 = all_6_6
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (341), (342) imply:
% 54.55/8.29  |   (394)  all_8_6 = e3
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (394) implies:
% 54.55/8.29  |   (395)  all_8_6 = e3
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (337), (338) imply:
% 54.55/8.29  |   (396)  all_8_7 = all_4_7
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (396) implies:
% 54.55/8.29  |   (397)  all_8_7 = all_4_7
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (331), (332) imply:
% 54.55/8.29  |   (398)  all_8_11 = all_4_17
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (398) implies:
% 54.55/8.29  |   (399)  all_8_11 = all_4_17
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (327), (329) imply:
% 54.55/8.29  |   (400)  all_8_18 = all_4_22
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (327), (328) imply:
% 54.55/8.29  |   (401)  all_8_18 = all_6_14
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (334), (335) imply:
% 54.55/8.29  |   (402)  all_8_8 = all_4_12
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (402) implies:
% 54.55/8.29  |   (403)  all_8_8 = all_4_12
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (325), (326) imply:
% 54.55/8.29  |   (404)  all_8_12 = all_4_3
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (404) implies:
% 54.55/8.29  |   (405)  all_8_12 = all_4_3
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (322), (323) imply:
% 54.55/8.29  |   (406)  all_8_13 = all_4_8
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (406) implies:
% 54.55/8.29  |   (407)  all_8_13 = all_4_8
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (319), (320) imply:
% 54.55/8.29  |   (408)  all_8_14 = all_4_13
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (408) implies:
% 54.55/8.29  |   (409)  all_8_14 = all_4_13
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (312), (313) imply:
% 54.55/8.29  |   (410)  all_8_19 = all_4_23
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (410) implies:
% 54.55/8.29  |   (411)  all_8_19 = all_4_23
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (315), (316) imply:
% 54.55/8.29  |   (412)  all_8_15 = all_6_18
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (412) implies:
% 54.55/8.29  |   (413)  all_8_15 = all_6_18
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (316), (317) imply:
% 54.55/8.29  |   (414)  all_6_18 = e0
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (309), (311) imply:
% 54.55/8.29  |   (415)  all_8_20 = all_4_4
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (309), (310) imply:
% 54.55/8.29  |   (416)  all_8_20 = all_6_20
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (307), (308) imply:
% 54.55/8.29  |   (417)  all_8_21 = all_4_9
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (417) implies:
% 54.55/8.29  |   (418)  all_8_21 = all_4_9
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (303), (305) imply:
% 54.55/8.29  |   (419)  all_8_22 = all_4_14
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (303), (304) imply:
% 54.55/8.29  |   (420)  all_8_22 = all_6_22
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (301), (302) imply:
% 54.55/8.29  |   (421)  all_8_23 = all_4_19
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (421) implies:
% 54.55/8.29  |   (422)  all_8_23 = all_4_19
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (297), (299) imply:
% 54.55/8.29  |   (423)  all_8_24 = all_4_24
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (297), (298) imply:
% 54.55/8.29  |   (424)  all_8_24 = all_6_24
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (371), (383) imply:
% 54.55/8.29  |   (425)  all_6_0 = all_4_0
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (368), (375) imply:
% 54.55/8.29  |   (426)  all_6_1 = all_4_5
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (426) implies:
% 54.55/8.29  |   (427)  all_6_1 = all_4_5
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (355), (385) imply:
% 54.55/8.29  |   (428)  all_6_5 = all_4_1
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (428) implies:
% 54.55/8.29  |   (429)  all_6_5 = all_4_1
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (392), (393) imply:
% 54.55/8.29  |   (430)  all_6_6 = all_4_6
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (430) implies:
% 54.55/8.29  |   (431)  all_6_6 = all_4_6
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (364), (365) imply:
% 54.55/8.29  |   (432)  all_6_2 = all_4_10
% 54.55/8.29  | 
% 54.55/8.29  | SIMP: (432) implies:
% 54.55/8.29  |   (433)  all_6_2 = all_4_10
% 54.55/8.29  | 
% 54.55/8.29  | COMBINE_EQS: (349), (387) imply:
% 54.55/8.30  |   (434)  all_6_7 = all_4_11
% 54.55/8.30  | 
% 54.55/8.30  | SIMP: (434) implies:
% 54.55/8.30  |   (435)  all_6_7 = all_4_11
% 54.55/8.30  | 
% 54.55/8.30  | COMBINE_EQS: (340), (395) imply:
% 54.55/8.30  |   (436)  all_6_10 = e3
% 54.55/8.30  | 
% 54.55/8.30  | SIMP: (436) implies:
% 54.55/8.30  |   (437)  all_6_10 = e3
% 54.55/8.30  | 
% 54.55/8.30  | COMBINE_EQS: (336), (397) imply:
% 54.55/8.30  |   (438)  all_6_11 = all_4_7
% 54.55/8.30  | 
% 54.55/8.30  | SIMP: (438) implies:
% 54.55/8.30  |   (439)  all_6_11 = all_4_7
% 54.55/8.30  | 
% 54.55/8.30  | COMBINE_EQS: (333), (403) imply:
% 54.55/8.30  |   (440)  all_6_12 = all_4_12
% 54.55/8.30  | 
% 54.55/8.30  | COMBINE_EQS: (361), (379) imply:
% 54.55/8.30  |   (441)  all_6_3 = all_4_15
% 54.55/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (346), (389) imply:
% 55.07/8.30  |   (442)  all_6_8 = all_4_16
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (330), (399) imply:
% 55.07/8.30  |   (443)  all_6_13 = all_4_17
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (443) implies:
% 55.07/8.30  |   (444)  all_6_13 = all_4_17
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (324), (405) imply:
% 55.07/8.30  |   (445)  all_6_15 = all_4_3
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (321), (407) imply:
% 55.07/8.30  |   (446)  all_6_16 = all_4_8
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (446) implies:
% 55.07/8.30  |   (447)  all_6_16 = all_4_8
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (318), (409) imply:
% 55.07/8.30  |   (448)  all_6_17 = all_4_13
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (448) implies:
% 55.07/8.30  |   (449)  all_6_17 = all_4_13
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (314), (413) imply:
% 55.07/8.30  |   (450)  all_6_18 = all_4_18
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (450) implies:
% 55.07/8.30  |   (451)  all_6_18 = all_4_18
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (380), (381) imply:
% 55.07/8.30  |   (452)  all_6_4 = all_4_20
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (390), (391) imply:
% 55.07/8.30  |   (453)  all_6_9 = all_4_21
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (400), (401) imply:
% 55.07/8.30  |   (454)  all_6_14 = all_4_22
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (415), (416) imply:
% 55.07/8.30  |   (455)  all_6_20 = all_4_4
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (306), (418) imply:
% 55.07/8.30  |   (456)  all_6_21 = all_4_9
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (419), (420) imply:
% 55.07/8.30  |   (457)  all_6_22 = all_4_14
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (457) implies:
% 55.07/8.30  |   (458)  all_6_22 = all_4_14
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (300), (422) imply:
% 55.07/8.30  |   (459)  all_6_23 = all_4_19
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (423), (424) imply:
% 55.07/8.30  |   (460)  all_6_24 = all_4_24
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (377), (433) imply:
% 55.07/8.30  |   (461)  all_4_10 = e1
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (339), (437) imply:
% 55.07/8.30  |   (462)  all_4_2 = e3
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (462) implies:
% 55.07/8.30  |   (463)  all_4_2 = e3
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (414), (451) imply:
% 55.07/8.30  |   (464)  all_4_18 = e0
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (314), (464) imply:
% 55.07/8.30  |   (465)  all_8_15 = e0
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (365), (461) imply:
% 55.07/8.30  |   (466)  all_8_4 = e1
% 55.07/8.30  | 
% 55.07/8.30  | COMBINE_EQS: (373), (425) imply:
% 55.07/8.30  |   (467)  all_10_4 = all_4_0
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (123), (463) imply:
% 55.07/8.30  |   (468)   ~ (all_4_0 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (119), (461) imply:
% 55.07/8.30  |   (469)   ~ (all_4_0 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (116), (463) imply:
% 55.07/8.30  |   (470)   ~ (all_4_1 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (109), (463) imply:
% 55.07/8.30  |   (471)   ~ (all_4_3 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (471) implies:
% 55.07/8.30  |   (472)   ~ (all_4_3 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (108), (463) imply:
% 55.07/8.30  |   (473)   ~ (all_4_4 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (473) implies:
% 55.07/8.30  |   (474)   ~ (all_4_4 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (107), (463) imply:
% 55.07/8.30  |   (475)   ~ (all_4_7 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (475) implies:
% 55.07/8.30  |   (476)   ~ (all_4_7 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (106), (463) imply:
% 55.07/8.30  |   (477)   ~ (all_4_12 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (477) implies:
% 55.07/8.30  |   (478)   ~ (all_4_12 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (105), (463) imply:
% 55.07/8.30  |   (479)   ~ (all_4_17 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (479) implies:
% 55.07/8.30  |   (480)   ~ (all_4_17 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (104), (463) imply:
% 55.07/8.30  |   (481)   ~ (all_4_22 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (481) implies:
% 55.07/8.30  |   (482)   ~ (all_4_22 = e3)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (100), (464) imply:
% 55.07/8.30  |   (483)   ~ (all_4_3 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (90), (461) imply:
% 55.07/8.30  |   (484)   ~ (all_4_5 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (74), (464) imply:
% 55.07/8.30  |   (485)   ~ (all_4_8 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (69), (461) imply:
% 55.07/8.30  |   (486)   ~ (all_4_11 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (486) implies:
% 55.07/8.30  |   (487)   ~ (all_4_11 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (68), (461) imply:
% 55.07/8.30  |   (488)   ~ (all_4_12 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (488) implies:
% 55.07/8.30  |   (489)   ~ (all_4_12 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (67), (461) imply:
% 55.07/8.30  |   (490)   ~ (all_4_14 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (490) implies:
% 55.07/8.30  |   (491)   ~ (all_4_14 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (66), (461) imply:
% 55.07/8.30  |   (492)   ~ (all_4_15 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (492) implies:
% 55.07/8.30  |   (493)   ~ (all_4_15 = e1)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (55), (464) imply:
% 55.07/8.30  |   (494)   ~ (all_4_13 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (49), (464) imply:
% 55.07/8.30  |   (495)   ~ (all_4_15 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (45), (464) imply:
% 55.07/8.30  |   (496)   ~ (all_4_16 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (42), (464) imply:
% 55.07/8.30  |   (497)   ~ (all_4_17 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (39), (464) imply:
% 55.07/8.30  |   (498)   ~ (all_4_19 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (498) implies:
% 55.07/8.30  |   (499)   ~ (all_4_19 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | REDUCE: (38), (464) imply:
% 55.07/8.30  |   (500)   ~ (all_4_23 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | SIMP: (500) implies:
% 55.07/8.30  |   (501)   ~ (all_4_23 = e0)
% 55.07/8.30  | 
% 55.07/8.30  | BETA: splitting (288) gives:
% 55.07/8.30  | 
% 55.07/8.30  | Case 1:
% 55.07/8.30  | | 
% 55.07/8.30  | |   (502)   ~ (all_10_19 = e0)
% 55.07/8.30  | | 
% 55.07/8.30  | | REDUCE: (317), (502) imply:
% 55.07/8.30  | |   (503)  $false
% 55.07/8.30  | | 
% 55.07/8.30  | | CLOSE: (503) is inconsistent.
% 55.07/8.30  | | 
% 55.07/8.30  | Case 2:
% 55.07/8.30  | | 
% 55.07/8.30  | |   (504)  all_10_18 = e1
% 55.07/8.30  | | 
% 55.07/8.31  | | COMBINE_EQS: (313), (504) imply:
% 55.07/8.31  | |   (505)  all_4_23 = e1
% 55.07/8.31  | | 
% 55.07/8.31  | | COMBINE_EQS: (411), (505) imply:
% 55.07/8.31  | |   (506)  all_8_19 = e1
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (99), (505) imply:
% 55.07/8.31  | |   (507)   ~ (all_4_3 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (73), (505) imply:
% 55.07/8.31  | |   (508)   ~ (all_4_8 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (54), (505) imply:
% 55.07/8.31  | |   (509)   ~ (all_4_13 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (34), (505) imply:
% 55.07/8.31  | |   (510)   ~ (all_4_20 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (31), (505) imply:
% 55.07/8.31  | |   (511)   ~ (all_4_21 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (29), (505) imply:
% 55.07/8.31  | |   (512)   ~ (all_4_22 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (27), (505) imply:
% 55.07/8.31  | |   (513)   ~ (all_4_24 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | SIMP: (513) implies:
% 55.07/8.31  | |   (514)   ~ (all_4_24 = e1)
% 55.07/8.31  | | 
% 55.07/8.31  | | REDUCE: (501), (505) imply:
% 55.07/8.31  | |   (515)   ~ (e1 = e0)
% 55.07/8.31  | | 
% 55.07/8.31  | | BETA: splitting (290) gives:
% 55.07/8.31  | | 
% 55.07/8.31  | | Case 1:
% 55.07/8.31  | | | 
% 55.07/8.31  | | |   (516)   ~ (all_10_14 = e4)
% 55.07/8.31  | | | 
% 55.07/8.31  | | | REDUCE: (335), (516) imply:
% 55.07/8.31  | | |   (517)   ~ (all_4_12 = e4)
% 55.07/8.31  | | | 
% 55.07/8.31  | | | BETA: splitting (296) gives:
% 55.07/8.31  | | | 
% 55.07/8.31  | | | Case 1:
% 55.07/8.31  | | | | 
% 55.07/8.31  | | | |   (518)   ~ (all_10_4 = e2)
% 55.07/8.31  | | | | 
% 55.07/8.31  | | | | REDUCE: (467), (518) imply:
% 55.07/8.31  | | | |   (519)   ~ (all_4_0 = e2)
% 55.07/8.31  | | | | 
% 55.07/8.31  | | | | BETA: splitting (294) gives:
% 55.07/8.31  | | | | 
% 55.07/8.31  | | | | Case 1:
% 55.07/8.31  | | | | | 
% 55.07/8.31  | | | | |   (520)   ~ (all_10_9 = e4)
% 55.07/8.31  | | | | | 
% 55.07/8.31  | | | | | REDUCE: (354), (520) imply:
% 55.07/8.31  | | | | |   (521)   ~ (all_4_6 = e4)
% 55.07/8.31  | | | | | 
% 55.07/8.31  | | | | | BETA: splitting (222) gives:
% 55.07/8.31  | | | | | 
% 55.07/8.31  | | | | | Case 1:
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | |   (522)  all_8_24 = e0
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | COMBINE_EQS: (423), (522) imply:
% 55.07/8.31  | | | | | |   (523)  all_4_24 = e0
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | SIMP: (523) implies:
% 55.07/8.31  | | | | | |   (524)  all_4_24 = e0
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (95), (524) imply:
% 55.07/8.31  | | | | | |   (525)   ~ (all_4_4 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (70), (524) imply:
% 55.07/8.31  | | | | | |   (526)   ~ (all_4_9 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (52), (524) imply:
% 55.07/8.31  | | | | | |   (527)   ~ (all_4_14 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (33), (524) imply:
% 55.07/8.31  | | | | | |   (528)   ~ (all_4_20 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (30), (524) imply:
% 55.07/8.31  | | | | | |   (529)   ~ (all_4_21 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (28), (524) imply:
% 55.07/8.31  | | | | | |   (530)   ~ (all_4_22 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | REDUCE: (514), (524) imply:
% 55.07/8.31  | | | | | |   (531)   ~ (e1 = e0)
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | BETA: splitting (292) gives:
% 55.07/8.31  | | | | | | 
% 55.07/8.31  | | | | | | Case 1:
% 55.07/8.31  | | | | | | | 
% 55.07/8.31  | | | | | | |   (532)   ~ (all_10_9 = e1)
% 55.07/8.31  | | | | | | | 
% 55.07/8.31  | | | | | | | REDUCE: (354), (532) imply:
% 55.07/8.31  | | | | | | |   (533)   ~ (all_4_6 = e1)
% 55.07/8.31  | | | | | | | 
% 55.07/8.31  | | | | | | | BETA: splitting (291) gives:
% 55.07/8.31  | | | | | | | 
% 55.07/8.31  | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | 
% 55.07/8.31  | | | | | | | |   (534)   ~ (all_10_9 = e0)
% 55.07/8.31  | | | | | | | | 
% 55.07/8.31  | | | | | | | | REDUCE: (354), (534) imply:
% 55.07/8.31  | | | | | | | |   (535)   ~ (all_4_6 = e0)
% 55.07/8.31  | | | | | | | | 
% 55.07/8.31  | | | | | | | | BETA: splitting (289) gives:
% 55.07/8.31  | | | | | | | | 
% 55.07/8.31  | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | 
% 55.07/8.31  | | | | | | | | |   (536)   ~ (all_10_14 = e0)
% 55.07/8.31  | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | REDUCE: (335), (536) imply:
% 55.07/8.31  | | | | | | | | |   (537)   ~ (all_4_12 = e0)
% 55.07/8.31  | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | BETA: splitting (185) gives:
% 55.07/8.31  | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | |   (538)  all_6_12 = e1
% 55.07/8.31  | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | REF_CLOSE: (440), (489), (538) are inconsistent by sub-proof
% 55.07/8.31  | | | | | | | | | |            #193.
% 55.07/8.31  | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | |   (539)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 55.07/8.31  | | | | | | | | | |          all_6_12 = e0
% 55.07/8.31  | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | BETA: splitting (539) gives:
% 55.07/8.31  | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | |   (540)  all_6_12 = e4
% 55.07/8.31  | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | REF_CLOSE: (440), (517), (540) are inconsistent by sub-proof
% 55.07/8.31  | | | | | | | | | | |            #192.
% 55.07/8.31  | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | |   (541)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 55.07/8.31  | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | BETA: splitting (541) gives:
% 55.07/8.31  | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | |   (542)  all_6_12 = e2
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | COMBINE_EQS: (440), (542) imply:
% 55.07/8.31  | | | | | | | | | | | |   (543)  all_4_12 = e2
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | SIMP: (543) implies:
% 55.07/8.31  | | | | | | | | | | | |   (544)  all_4_12 = e2
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | COMBINE_EQS: (403), (544) imply:
% 55.07/8.31  | | | | | | | | | | | |   (545)  all_8_8 = e2
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | REDUCE: (57), (544) imply:
% 55.07/8.31  | | | | | | | | | | | |   (546)   ~ (all_4_22 = e2)
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | SIMP: (546) implies:
% 55.07/8.31  | | | | | | | | | | | |   (547)   ~ (all_4_22 = e2)
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | BETA: splitting (239) gives:
% 55.07/8.31  | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | |   (548)  all_8_4 = e0
% 55.07/8.31  | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | REF_CLOSE: (466), (515), (548) are inconsistent by sub-proof
% 55.07/8.31  | | | | | | | | | | | | |            #191.
% 55.07/8.31  | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | |   (549)  all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 55.07/8.31  | | | | | | | | | | | | |          all_8_22 = e0
% 55.07/8.31  | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | BETA: splitting (549) gives:
% 55.07/8.31  | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | |   (550)  all_8_5 = e0
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | COMBINE_EQS: (387), (550) imply:
% 55.07/8.31  | | | | | | | | | | | | | |   (551)  all_4_11 = e0
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | SIMP: (551) implies:
% 55.07/8.31  | | | | | | | | | | | | | |   (552)  all_4_11 = e0
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | REDUCE: (112), (552) imply:
% 55.07/8.31  | | | | | | | | | | | | | |   (553)   ~ (all_4_1 = e0)
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | |   (554)  all_6_14 = e1
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | REF_CLOSE: (454), (512), (554) are inconsistent by sub-proof
% 55.07/8.31  | | | | | | | | | | | | | | |            #190.
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | |   (555)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 55.07/8.31  | | | | | | | | | | | | | | |          all_6_14 = e0
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | |   (556)  all_8_0 = e0
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (556) imply:
% 55.07/8.31  | | | | | | | | | | | | | | | |   (557)  all_4_0 = e0
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | SIMP: (557) implies:
% 55.07/8.31  | | | | | | | | | | | | | | | |   (558)  all_4_0 = e0
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (558) imply:
% 55.07/8.31  | | | | | | | | | | | | | | | |   (559)  all_10_4 = e0
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | |   (560)   ~ (all_10_4 = e0)
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | REDUCE: (559), (560) imply:
% 55.07/8.31  | | | | | | | | | | | | | | | | |   (561)  $false
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | CLOSE: (561) is inconsistent.
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | |   (562)  all_10_3 = e4
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (562) imply:
% 55.07/8.31  | | | | | | | | | | | | | | | | |   (563)  all_4_20 = e4
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | REDUCE: (35), (563) imply:
% 55.07/8.31  | | | | | | | | | | | | | | | | |   (564)   ~ (all_4_22 = e4)
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | SIMP: (564) implies:
% 55.07/8.31  | | | | | | | | | | | | | | | | |   (565)   ~ (all_4_22 = e4)
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | BETA: splitting (555) gives:
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.31  | | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | |   (566)  all_6_14 = e4
% 55.07/8.31  | | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (565), (566) are inconsistent by sub-proof
% 55.07/8.31  | | | | | | | | | | | | | | | | | |            #189.
% 55.07/8.31  | | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | |   (567)  all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0
% 55.07/8.31  | | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (482), (530), (547), (567) are inconsistent
% 55.07/8.31  | | | | | | | | | | | | | | | | | |            by sub-proof #186.
% 55.07/8.31  | | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | | End of split
% 55.07/8.31  | | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | End of split
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | |   (568)   ~ (all_8_0 = e0)
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | | REF_CLOSE: (16), (195), (251), (371), (385), (395), (405),
% 55.07/8.31  | | | | | | | | | | | | | | | |            (415), (425), (468), (469), (483), (519), (525),
% 55.07/8.31  | | | | | | | | | | | | | | | |            (553), (568) are inconsistent by sub-proof #178.
% 55.07/8.31  | | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | | End of split
% 55.07/8.31  | | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | End of split
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | Case 2:
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | |   (569)  all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.31  | | | | | | | | | | | | | | REF_CLOSE: (14), (409), (419), (494), (527), (545), (569) are
% 55.07/8.31  | | | | | | | | | | | | | |            inconsistent by sub-proof #176.
% 55.07/8.31  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | End of split
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | End of split
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | |   (570)  all_6_12 = e3 | all_6_12 = e0
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | REF_CLOSE: (440), (478), (537), (570) are inconsistent by
% 55.07/8.32  | | | | | | | | | | | |            sub-proof #174.
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | End of split
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | End of split
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | End of split
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | |   (571)  all_10_14 = e0
% 55.07/8.32  | | | | | | | | |   (572)  all_10_13 = e2
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | COMBINE_EQS: (329), (572) imply:
% 55.07/8.32  | | | | | | | | |   (573)  all_4_22 = e2
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | SIMP: (573) implies:
% 55.07/8.32  | | | | | | | | |   (574)  all_4_22 = e2
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | COMBINE_EQS: (335), (571) imply:
% 55.07/8.32  | | | | | | | | |   (575)  all_4_12 = e0
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | SIMP: (575) implies:
% 55.07/8.32  | | | | | | | | |   (576)  all_4_12 = e0
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | COMBINE_EQS: (400), (574) imply:
% 55.07/8.32  | | | | | | | | |   (577)  all_8_18 = e2
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | COMBINE_EQS: (403), (576) imply:
% 55.07/8.32  | | | | | | | | |   (578)  all_8_8 = e0
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (79), (576) imply:
% 55.07/8.32  | | | | | | | | |   (579)   ~ (all_4_7 = e0)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (77), (574) imply:
% 55.07/8.32  | | | | | | | | |   (580)   ~ (all_4_7 = e2)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (65), (576) imply:
% 55.07/8.32  | | | | | | | | |   (581)   ~ (all_4_11 = e0)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (59), (576) imply:
% 55.07/8.32  | | | | | | | | |   (582)   ~ (all_4_14 = e0)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (58), (576) imply:
% 55.07/8.32  | | | | | | | | |   (583)   ~ (all_4_17 = e0)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (478), (576) imply:
% 55.07/8.32  | | | | | | | | |   (584)   ~ (e3 = e0)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (35), (574) imply:
% 55.07/8.32  | | | | | | | | |   (585)   ~ (all_4_20 = e2)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (32), (574) imply:
% 55.07/8.32  | | | | | | | | |   (586)   ~ (all_4_21 = e2)
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | REDUCE: (137), (576) imply:
% 55.07/8.32  | | | | | | | | |   (587)  op(e2, e2) = e0
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | BETA: splitting (246) gives:
% 55.07/8.32  | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | |   (588)  all_8_1 = e0
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | COMBINE_EQS: (375), (588) imply:
% 55.07/8.32  | | | | | | | | | |   (589)  all_4_5 = e0
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | SIMP: (589) implies:
% 55.07/8.32  | | | | | | | | | |   (590)  all_4_5 = e0
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | REDUCE: (120), (590) imply:
% 55.07/8.32  | | | | | | | | | |   (591)   ~ (all_4_0 = e0)
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | REDUCE: (89), (590) imply:
% 55.07/8.32  | | | | | | | | | |   (592)   ~ (all_4_15 = e0)
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | REDUCE: (88), (590) imply:
% 55.07/8.32  | | | | | | | | | |   (593)   ~ (all_4_20 = e0)
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | BETA: splitting (251) gives:
% 55.07/8.32  | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | |   (594)  all_8_0 = e0
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | REF_CLOSE: (371), (591), (594) are inconsistent by sub-proof
% 55.07/8.32  | | | | | | | | | | |            #173.
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | |   (595)   ~ (all_8_0 = e0)
% 55.07/8.32  | | | | | | | | | | |   (596)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 55.07/8.32  | | | | | | | | | | |          all_8_20 = e0
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | BETA: splitting (596) gives:
% 55.07/8.32  | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | |   (597)  all_8_2 = e0
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | COMBINE_EQS: (385), (597) imply:
% 55.07/8.32  | | | | | | | | | | | |   (598)  all_4_1 = e0
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | SIMP: (598) implies:
% 55.07/8.32  | | | | | | | | | | | |   (599)  all_4_1 = e0
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | COMBINE_EQS: (357), (599) imply:
% 55.07/8.32  | | | | | | | | | | | |   (600)  all_10_5 = e0
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | BETA: splitting (195) gives:
% 55.07/8.32  | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | |   (601)  all_6_0 = e1
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | REF_CLOSE: (425), (469), (601) are inconsistent by sub-proof
% 55.07/8.32  | | | | | | | | | | | | |            #185.
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | |   (602)   ~ (all_6_0 = e1)
% 55.07/8.32  | | | | | | | | | | | | |   (603)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 55.07/8.32  | | | | | | | | | | | | |          all_6_0 = e0
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | BETA: splitting (603) gives:
% 55.07/8.32  | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | |   (604)  all_6_0 = e4
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | COMBINE_EQS: (425), (604) imply:
% 55.07/8.32  | | | | | | | | | | | | | |   (605)  all_4_0 = e4
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | SIMP: (605) implies:
% 55.07/8.32  | | | | | | | | | | | | | |   (606)  all_4_0 = e4
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | COMBINE_EQS: (371), (606) imply:
% 55.07/8.32  | | | | | | | | | | | | | |   (607)  all_8_0 = e4
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | REDUCE: (122), (606) imply:
% 55.07/8.32  | | | | | | | | | | | | | |   (608)   ~ (all_4_3 = e4)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | SIMP: (608) implies:
% 55.07/8.32  | | | | | | | | | | | | | |   (609)   ~ (all_4_3 = e4)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | REDUCE: (118), (606) imply:
% 55.07/8.32  | | | | | | | | | | | | | |   (610)   ~ (all_4_15 = e4)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | SIMP: (610) implies:
% 55.07/8.32  | | | | | | | | | | | | | |   (611)   ~ (all_4_15 = e4)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | REDUCE: (117), (606) imply:
% 55.07/8.32  | | | | | | | | | | | | | |   (612)   ~ (all_4_20 = e4)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | SIMP: (612) implies:
% 55.07/8.32  | | | | | | | | | | | | | |   (613)   ~ (all_4_20 = e4)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | REDUCE: (591), (606) imply:
% 55.07/8.32  | | | | | | | | | | | | | |   (614)   ~ (e4 = e0)
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 55.07/8.32  | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | |   (615)  all_8_16 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | COMBINE_EQS: (380), (615) imply:
% 55.07/8.32  | | | | | | | | | | | | | | |   (616)  all_4_20 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | SIMP: (616) implies:
% 55.07/8.32  | | | | | | | | | | | | | | |   (617)  all_4_20 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | REDUCE: (613), (617) imply:
% 55.07/8.32  | | | | | | | | | | | | | | |   (618)  $false
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | CLOSE: (618) is inconsistent.
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | |   (619)  all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 |
% 55.07/8.32  | | | | | | | | | | | | | | |          all_8_24 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | BETA: splitting (619) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | |   (620)  all_8_17 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (620) imply:
% 55.07/8.32  | | | | | | | | | | | | | | | |   (621)  all_4_21 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | SIMP: (621) implies:
% 55.07/8.32  | | | | | | | | | | | | | | | |   (622)  all_4_21 = e4
% 55.07/8.32  | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | |   (623)  all_6_4 = e1
% 55.07/8.32  | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (510), (623) are inconsistent by sub-proof
% 55.07/8.32  | | | | | | | | | | | | | | | | |            #172.
% 55.07/8.32  | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | |   (624)   ~ (all_6_4 = e1)
% 55.07/8.32  | | | | | | | | | | | | | | | | |   (625)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 55.07/8.32  | | | | | | | | | | | | | | | | |          all_6_4 = e0
% 55.07/8.32  | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | |   (626)  all_8_0 = e1
% 55.07/8.32  | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (607), (626) are inconsistent by sub-proof
% 55.07/8.32  | | | | | | | | | | | | | | | | | |            #171.
% 55.07/8.32  | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | |   (627)   ~ (all_8_0 = e1)
% 55.07/8.32  | | | | | | | | | | | | | | | | | |   (628)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 55.07/8.32  | | | | | | | | | | | | | | | | | |          all_8_20 = e1
% 55.07/8.32  | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | |   (629)  all_8_2 = e1
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (629) imply:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | |   (630)  e1 = e0
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | REDUCE: (515), (630) imply:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | |   (631)  $false
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | CLOSE: (631) is inconsistent.
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | |   (632)   ~ (all_8_2 = e1)
% 55.07/8.32  | | | | | | | | | | | | | | | | | | |   (633)  all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 |
% 55.07/8.32  | | | | | | | | | | | | | | | | | | |          all_8_17 = e1
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | |   (634)  all_8_16 = e3
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (634) imply:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | |   (635)  all_4_20 = e3
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | SIMP: (635) implies:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | |   (636)  all_4_20 = e3
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (636) imply:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | |   (637)   ~ (all_4_15 = e3)
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (636) imply:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | |   (638)  op(e4, e0) = e3
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | |   (639)  all_6_15 = e1
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (507), (639) are inconsistent by sub-proof
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | |            #170.
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | |   (640)   ~ (all_6_15 = e1)
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | |   (641)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | |          all_6_15 = e0
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | |   (642)  all_8_0 = e0
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (607), (614), (642) are inconsistent by sub-proof
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | |            #184.
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | |   (643)  all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | |          all_8_16 = e0
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.32  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (590) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | |   (644)   ~ (all_4_6 = e0)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (590) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | |   (645)   ~ (all_4_9 = e0)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (590) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | |   (646)  op(e4, e3) = e0
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (633) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | |   (647)  all_8_3 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (533), (647) are inconsistent by sub-proof
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | |            #169.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | |   (648)  all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (649)  all_6_3 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (649) are inconsistent by sub-proof
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | |   (650)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_3 = e0
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (651)  all_6_3 = e4
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (611), (651) are inconsistent by sub-proof
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | |            #167.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (652)   ~ (all_6_3 = e4)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  all_6_3 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (654) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  all_4_15 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (655) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  all_4_15 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (656) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)   ~ (all_4_16 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (657) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)   ~ (all_4_16 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (656) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)   ~ (all_4_17 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (659) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)   ~ (all_4_17 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (656) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)   ~ (all_4_19 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (661) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)   ~ (all_4_19 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (611), (656) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)   ~ (e4 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (656) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)   ~ (e3 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (648) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)  all_8_5 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (387), (487), (665) are inconsistent by sub-proof
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #166.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_8_10 = e1 | all_8_17 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (666) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  all_8_10 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (667) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  all_4_16 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (668) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)   ~ (all_4_17 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (669) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)   ~ (all_4_17 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (668) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)   ~ (e2 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (668) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  op(e3, e1) = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  all_8_6 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (673) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)  e3 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (674) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  $false
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (675) is inconsistent.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_18 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)  all_6_13 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (670), (677) are inconsistent by sub-proof
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #165.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)   ~ (all_6_13 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_13 = e0
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_8_2 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (680) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  e1 = e0
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (681) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  $false
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (682) is inconsistent.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (676) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  all_8_7 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (684) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_4_7 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (685) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  all_10_11 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (685) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)   ~ (all_4_8 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (685) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)   ~ (e3 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (685) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)  op(e2, e3) = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (641) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)  all_6_15 = e4
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (609), (690) are inconsistent by sub-proof
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #164.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_6_15 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (692) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_4_3 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (693) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_4_3 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (694) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_8_12 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (694) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  all_10_15 = e2
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (694) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)   ~ (all_4_4 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (697) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)   ~ (all_4_4 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (694) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)   ~ (all_4_8 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (699) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)   ~ (all_4_8 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (694) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)   ~ (all_4_13 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (701) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)   ~ (all_4_13 = e2)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (683) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  all_8_6 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (703) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  e3 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (704) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  $false
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (705) is inconsistent.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  all_8_12 = e1 | all_8_20 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (706) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  all_8_12 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (707) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  e2 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (708) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  $false
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (709) is inconsistent.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_8_20 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (710) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_4_4 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (711) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_4_4 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (712) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)   ~ (all_4_9 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (713) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)   ~ (all_4_9 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (712) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)   ~ (all_4_19 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (715) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)   ~ (all_4_19 = e1)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (712) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  op(e0, e4) = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (679) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_6_13 = e4
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (718) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  all_4_17 = e4
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (719) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_4_17 = e4
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (720) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)  all_10_12 = e4
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (720) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)   ~ (all_4_19 = e4)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (722) implies:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)   ~ (all_4_19 = e4)
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_6_23 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (724) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  all_4_19 = e1
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (716), (725) imply:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  $false
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (726) is inconsistent.
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.33  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 |
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_23 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_6_23 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (728) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_4_19 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (723), (729) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (730) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (731) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_6_23 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (732) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_4_19 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (662), (733) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_6_23 = e3 | all_6_23 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_6_23 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (736) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  all_4_19 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (737) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  all_10_23 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (737) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)   ~ (all_4_9 = e3)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (737) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)   ~ (all_4_14 = e3)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (737) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  op(e0, e1) = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)   ~ (all_10_9 = e2)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (742) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)   ~ (all_4_6 = e2)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_8_2 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (744) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  e2 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (745) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (746) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_17 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (747) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  all_8_3 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (748) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  all_4_6 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (749) implies:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_4_6 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (750) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (751) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)   ~ (all_8_3 = e2)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_6_6 = e1
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (754) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  all_4_6 = e1
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (755) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (756) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)   ~ (all_6_6 = e1)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_6 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (758) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_6_6 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (759) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_4_6 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (760) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (761) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (762) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)  all_6_6 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (763) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)  all_4_6 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (743), (764) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (765) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)   ~ (all_6_6 = e2)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  all_6_6 = e3 | all_6_6 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  all_6_6 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (768) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_4_6 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (769) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)   ~ (all_4_8 = e3)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (770) implies:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)   ~ (all_4_8 = e3)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (769) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)   ~ (all_4_9 = e3)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_6_16 = e1
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (508), (773) are inconsistent by sub-proof
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #163.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_16 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (774) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (775)  all_6_16 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (775) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (776)  all_4_8 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (776) implies:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (777)  all_4_8 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (777) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (778)  all_8_13 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (777) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (779)   ~ (all_4_9 = e4)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (779) implies:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (780)   ~ (all_4_9 = e4)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (777) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (781)   ~ (all_4_13 = e4)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (781) implies:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (782)   ~ (all_4_13 = e4)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (783)  all_6_21 = e1
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (714), (783) are inconsistent by sub-proof
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (784)   ~ (all_6_21 = e1)
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (785)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_21 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (786)  all_8_12 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (786) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (787)  e3 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (787) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (788)  $false
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (788) is inconsistent.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (789)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_19 = e3
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (753) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (790)  all_8_5 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (790) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (791)  all_4_11 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (791) implies:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (792)  all_4_11 = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (792) imply:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (793)  op(e3, e2) = e2
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (785) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (794)  all_6_21 = e4
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (780), (794) are inconsistent by sub-proof
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #161.
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (795)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.07/8.34  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (796)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (unit = e4))) & ( ~ (all_10_7 = e4) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (308), (342), (714), (721), (738), (796) are
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #159.
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.51/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (797)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_16 = e1) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_18 = e1) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_21 = e1) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_22 = e0) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)))
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives:
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (798)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 55.52/8.35  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2)))
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (320), (409), (465), (506),
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (696), (778), (782), (789), (798) are inconsistent
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #155.
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (799)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_16 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_18 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_21 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_22 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)))
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (799) gives:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (800)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0 &  ~ (unit = e1)))
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (800) implies:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (801)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (686), (721), (801) are inconsistent by
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (802)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0))
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (802) implies:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (803)   ~ (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (795) gives:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (804)  all_6_21 = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (804) imply:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (805)  all_4_9 = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (805) implies:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (806)  all_4_9 = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (806) imply:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (807)  op(e0, e3) = e2
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (808)   ~ (all_10_5 = e0)
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (808) imply:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (809)  $false
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (809) is inconsistent.
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.36  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (810)  all_10_8 = e4 &  ~ (unit = e0)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (810) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (811)   ~ (unit = e0)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (812)  unit = e1
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (812) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (813)  op(e3, e1) = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (812) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (814)  op(e0, e1) = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (672), (741), (813), (814),
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (815)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (815) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (816)  unit = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (816) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (817)  op(e4, e3) = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (816) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (818)  op(e4, e2) = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (816) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (819)  op(e2, e4) = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (515), (646), (817), (818), (819),
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #151.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (820)  unit = e3 | unit = e2 | unit = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (10), (23), (24), (515),
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (587), (689), (793), (807), (811), (820),
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #149.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (821)  all_6_21 = e3 | all_6_21 = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (526), (739), (821) are inconsistent by
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #148.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (822)  all_8_10 = e2 | all_8_17 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (620), (667), (822) are inconsistent
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #147.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (823)   ~ (all_6_16 = e4)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (823) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (824)   ~ (all_4_8 = e4)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (825)  all_8_12 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (825) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (826)  e4 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (826) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (827)  $false
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (827) is inconsistent.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (828)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_19 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (828) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (829)  all_8_13 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (824), (829) are inconsistent by sub-proof
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #146.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (830)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (830) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (831)  all_8_14 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (831) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (832)  all_4_13 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (832) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (833)  all_4_13 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (833) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (834)   ~ (all_4_14 = e4)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (834) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (835)   ~ (all_4_14 = e4)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  all_6_22 = e1
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (836) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (837)  all_4_14 = e1
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (837) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (838)  $false
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (838) is inconsistent.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (839)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_22 = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (753) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (840)  all_8_5 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (840) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)  all_4_11 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (841) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)  all_4_11 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (842) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)   ~ (all_4_14 = e2)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (843) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)   ~ (all_4_14 = e2)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (527), (740), (835), (839), (844) are
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)  all_8_10 = e2 | all_8_17 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (620), (667), (845) are inconsistent
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #147.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  all_8_15 = e4 | all_8_19 = e4
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (465), (506), (614), (846) are inconsistent
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #141.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_6_6 = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (847) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  all_4_6 = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (848) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)  $false
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (849) is inconsistent.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_10_9 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  all_10_6 = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (851) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  all_4_11 = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (852) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  all_4_11 = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (850) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_4_6 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (854) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  all_8_3 = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (854) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)   ~ (all_4_9 = e2)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (856) implies:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)   ~ (all_4_9 = e2)
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (854) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)  op(e3, e3) = e2
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)  all_8_1 = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (859) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)  e3 = e0
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (860) imply:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)  $false
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (861) is inconsistent.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (862)  all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_21 = e3
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_6_21 = e1
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (714), (863) are inconsistent by sub-proof
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #162.
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.37  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_21 = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (864) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (865)  all_6_21 = e4
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (865) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (866)  all_4_9 = e4
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (866) implies:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (867)  all_4_9 = e4
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (867) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (868)  all_8_21 = e4
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (869)  all_8_12 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (869) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (870)  e3 = e2
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (870) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (871)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (871) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (872)   ~ (all_8_12 = e3)
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (873)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_19 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (862) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (874)  all_8_3 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (855), (874) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (875)  e3 = e2
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (875) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (876)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (876) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (877)  all_8_7 = e3 | all_8_13 = e3 | all_8_21 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (877) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (878)  all_8_7 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (878) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (879)  e3 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (879) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (880)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (880) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (881)  all_8_13 = e3 | all_8_21 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (873) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (882)  all_8_13 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (882) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (883)  all_4_8 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (883) implies:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (884)  all_4_8 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (884) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (885)  op(e1, e3) = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (886)  unit = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (886) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (887)  op(e3, e1) = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (886) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (888)  op(e0, e1) = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (672), (741), (887), (888),
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #153.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (889)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (889) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (890)  unit = e4
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (23), (24), (515), (646), (890),
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #140.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (891)  unit = e3 | unit = e2 | unit = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (891) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (892)  unit = e2
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (892) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (893)  op(e2, e2) = e2
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e2,
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (587), (893) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (894)  e2 = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (894) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (895)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (895) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (896)  unit = e3 | unit = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (10), (15), (17), (638), (717),
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (858), (885), (896), (function-axioms) are
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #137.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (897)   ~ (all_8_13 = e3)
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (897) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (898)   ~ (all_4_8 = e3)
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (881) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (899)  all_8_13 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (898), (899) are inconsistent by sub-proof
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #136.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (900)  all_8_21 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (868), (900) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (901)  e4 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (901) implies:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (902)  e4 = e3
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (902) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (903)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (903) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (904)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (526), (739), (857), (904) are inconsistent
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #135.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (905)  all_6_23 = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (905) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (906)  all_4_19 = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (499), (906) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (907)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (907) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (908)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (660), (908) are inconsistent
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #134.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (909)   ~ (all_6_15 = e2)
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (445), (909) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (910)   ~ (all_4_3 = e2)
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (683) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (911)  all_8_6 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (911) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (912)  e3 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (912) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (913)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (913) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (914)  all_8_12 = e1 | all_8_20 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (915)  all_8_12 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (915) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (916)  all_4_3 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (507), (916) imply:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (917)  $false
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (917) is inconsistent.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (918)  all_8_20 = e1
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  all_8_0 = e2
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (607), (919) are inconsistent by sub-proof
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #133.
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.38  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_20 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (920) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  all_8_2 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (597), (921) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (922)  e2 = e0
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (922) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (923) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (924) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)  all_8_6 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (925) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  e3 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (926) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (927) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_8_12 = e2 | all_8_20 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (928) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (929)  all_8_12 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (929) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_4_3 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (930) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (931) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  all_8_20 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (918), (932) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  e2 = e1
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (933) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (934) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (679) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_6_13 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (936) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  all_4_17 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (937) implies:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)  all_4_17 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (938) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  all_8_11 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (515), (577), (578), (935), (939) are
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #132.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (660), (940) are inconsistent
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #134.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  all_8_17 = e1
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (941) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  e4 = e1
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (942) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (943) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)   ~ (all_6_3 = e2)
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (441), (944) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)   ~ (all_4_15 = e2)
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)  all_8_0 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (607), (946) are inconsistent by sub-proof
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #133.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)  all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_8_16 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (947) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)  all_8_1 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (588), (948) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (949)  e2 = e0
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (949) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (950)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (950) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (951)  all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (951) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (952)  all_8_4 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (952) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (953)  e2 = e1
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (953) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (954)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (954) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (955)  all_8_9 = e2 | all_8_16 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (955) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (956)  all_8_9 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (956) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (957)  all_4_15 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (945), (957) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (958)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (958) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (959)  all_8_16 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (634), (959) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (960)  e3 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (960) implies:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (961)  e3 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (961) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (962)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (962) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | |   (963)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (379), (466), (495), (515), (634), (963) are
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #131.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | |   (964)   ~ (all_8_16 = e3)
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (964) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | |   (965)   ~ (all_4_20 = e3)
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (528), (585), (613), (625), (965) are
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | |   (966)  all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | BETA: splitting (966) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | |   (967)  all_8_18 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (967) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | |   (968)  e4 = e2
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | REDUCE: (20), (968) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | |   (969)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | CLOSE: (969) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | |   (970)  all_8_19 = e4 | all_8_24 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | BETA: splitting (970) gives:
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | Case 1:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | |   (971)  all_8_19 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (971) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | |   (972)  e4 = e1
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | REDUCE: (19), (972) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | |   (973)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | CLOSE: (973) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | |   (974)  all_8_24 = e4
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (522), (974) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | |   (975)  e4 = e0
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | REDUCE: (614), (975) imply:
% 55.52/8.39  | | | | | | | | | | | | | | | | | |   (976)  $false
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | | CLOSE: (976) is inconsistent.
% 55.52/8.39  | | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | |   (977)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 55.52/8.39  | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | | REF_CLOSE: (425), (468), (519), (591), (977) are inconsistent
% 55.52/8.39  | | | | | | | | | | | | | |            by sub-proof #179.
% 55.52/8.39  | | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | | End of split
% 55.52/8.39  | | | | | | | | | | | | 
% 55.52/8.39  | | | | | | | | | | | Case 2:
% 55.52/8.39  | | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | | |   (978)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 55.52/8.40  | | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | | | REF_CLOSE: (16), (395), (405), (415), (483), (525), (978) are
% 55.52/8.40  | | | | | | | | | | | |            inconsistent by sub-proof #181.
% 55.52/8.40  | | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | | End of split
% 55.52/8.40  | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | End of split
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | Case 2:
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | |   (979)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 55.52/8.40  | | | | | | | | | |          all_8_21 = e0
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | REF_CLOSE: (392), (397), (407), (418), (485), (526), (535),
% 55.52/8.40  | | | | | | | | | |            (579), (979) are inconsistent by sub-proof #123.
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | End of split
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | End of split
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | Case 2:
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | |   (980)  all_10_9 = e0
% 55.52/8.40  | | | | | | | |   (981)  all_10_8 = e3
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | COMBINE_EQS: (345), (981) imply:
% 55.52/8.40  | | | | | | | |   (982)  all_4_21 = e3
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | COMBINE_EQS: (354), (980) imply:
% 55.52/8.40  | | | | | | | |   (983)  all_4_6 = e0
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | SIMP: (983) implies:
% 55.52/8.40  | | | | | | | |   (984)  all_4_6 = e0
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | COMBINE_EQS: (390), (982) imply:
% 55.52/8.40  | | | | | | | |   (985)  all_8_17 = e3
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | COMBINE_EQS: (392), (984) imply:
% 55.52/8.40  | | | | | | | |   (986)  all_8_3 = e0
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (113), (984) imply:
% 55.52/8.40  | | | | | | | |   (987)   ~ (all_4_1 = e0)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (86), (984) imply:
% 55.52/8.40  | | | | | | | |   (988)   ~ (all_4_8 = e0)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (85), (984) imply:
% 55.52/8.40  | | | | | | | |   (989)   ~ (all_4_9 = e0)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (83), (984) imply:
% 55.52/8.40  | | | | | | | |   (990)   ~ (all_4_16 = e0)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (61), (982) imply:
% 55.52/8.40  | | | | | | | |   (991)   ~ (all_4_11 = e3)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (43), (982) imply:
% 55.52/8.40  | | | | | | | |   (992)   ~ (all_4_16 = e3)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (36), (982) imply:
% 55.52/8.40  | | | | | | | |   (993)   ~ (all_4_20 = e3)
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | REDUCE: (143), (984) imply:
% 55.52/8.40  | | | | | | | |   (994)  op(e3, e3) = e0
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | BETA: splitting (252) gives:
% 55.52/8.40  | | | | | | | | 
% 55.52/8.40  | | | | | | | | Case 1:
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | |   (995)  all_8_0 = e0
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | COMBINE_EQS: (371), (995) imply:
% 55.52/8.40  | | | | | | | | |   (996)  all_4_0 = e0
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | SIMP: (996) implies:
% 55.52/8.40  | | | | | | | | |   (997)  all_4_0 = e0
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | COMBINE_EQS: (467), (997) imply:
% 55.52/8.40  | | | | | | | | |   (998)  all_10_4 = e0
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | REDUCE: (124), (997) imply:
% 55.52/8.40  | | | | | | | | |   (999)   ~ (all_4_1 = e0)
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | REDUCE: (122), (997) imply:
% 55.52/8.40  | | | | | | | | |   (1000)   ~ (all_4_3 = e0)
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | REDUCE: (121), (997) imply:
% 55.52/8.40  | | | | | | | | |   (1001)   ~ (all_4_4 = e0)
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | REDUCE: (120), (997) imply:
% 55.52/8.40  | | | | | | | | |   (1002)   ~ (all_4_5 = e0)
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | SIMP: (1002) implies:
% 55.52/8.40  | | | | | | | | |   (1003)   ~ (all_4_5 = e0)
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | REDUCE: (118), (997) imply:
% 55.52/8.40  | | | | | | | | |   (1004)   ~ (all_4_15 = e0)
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | REDUCE: (149), (997) imply:
% 55.52/8.40  | | | | | | | | |   (1005)  op(e4, e4) = e0
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | BETA: splitting (295) gives:
% 55.52/8.40  | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | Case 1:
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | |   (1006)   ~ (all_10_4 = e0)
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | REDUCE: (998), (1006) imply:
% 55.52/8.40  | | | | | | | | | |   (1007)  $false
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | CLOSE: (1007) is inconsistent.
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | Case 2:
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | |   (1008)  all_10_3 = e4
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | COMBINE_EQS: (360), (1008) imply:
% 55.52/8.40  | | | | | | | | | |   (1009)  all_4_20 = e4
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | COMBINE_EQS: (380), (1009) imply:
% 55.52/8.40  | | | | | | | | | |   (1010)  all_8_16 = e4
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | REDUCE: (88), (1009) imply:
% 55.52/8.40  | | | | | | | | | |   (1011)   ~ (all_4_5 = e4)
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | REDUCE: (47), (1009) imply:
% 55.52/8.40  | | | | | | | | | |   (1012)   ~ (all_4_15 = e4)
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | REDUCE: (35), (1009) imply:
% 55.52/8.40  | | | | | | | | | |   (1013)   ~ (all_4_22 = e4)
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | SIMP: (1013) implies:
% 55.52/8.40  | | | | | | | | | |   (1014)   ~ (all_4_22 = e4)
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | BETA: splitting (183) gives:
% 55.52/8.40  | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | Case 1:
% 55.52/8.40  | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | |   (1015)  all_6_14 = e1
% 55.52/8.40  | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | | REF_CLOSE: (454), (512), (1015) are inconsistent by sub-proof
% 55.52/8.40  | | | | | | | | | | |            #190.
% 55.52/8.40  | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | Case 2:
% 55.52/8.40  | | | | | | | | | | | 
% 55.52/8.40  | | | | | | | | | | |   (1016)   ~ (all_6_14 = e1)
% 55.75/8.40  | | | | | | | | | | |   (1017)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 55.75/8.40  | | | | | | | | | | |           all_6_14 = e0
% 55.75/8.40  | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | BETA: splitting (227) gives:
% 55.75/8.40  | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | |   (1018)  all_8_16 = e2
% 55.75/8.40  | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | REF_CLOSE: (20), (1010), (1018) are inconsistent by sub-proof
% 55.75/8.40  | | | | | | | | | | | |            #122.
% 55.75/8.40  | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | |   (1019)  all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 |
% 55.75/8.40  | | | | | | | | | | | |           all_8_24 = e2
% 55.75/8.40  | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | BETA: splitting (1019) gives:
% 55.75/8.40  | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | |   (1020)  all_8_17 = e2
% 55.75/8.40  | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | REF_CLOSE: (18), (985), (1020) are inconsistent by sub-proof
% 55.75/8.40  | | | | | | | | | | | | |            #121.
% 55.75/8.40  | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | |   (1021)  all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2
% 55.75/8.40  | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | BETA: splitting (1017) gives:
% 55.75/8.40  | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | |   (1022)  all_6_14 = e4
% 55.75/8.40  | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | REF_CLOSE: (454), (1014), (1022) are inconsistent by
% 55.75/8.40  | | | | | | | | | | | | | |            sub-proof #189.
% 55.75/8.40  | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | |   (1023)   ~ (all_6_14 = e4)
% 55.75/8.40  | | | | | | | | | | | | | |   (1024)  all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0
% 55.75/8.40  | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | BETA: splitting (1021) gives:
% 55.75/8.40  | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | |   (1025)  all_8_18 = e2
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1025) imply:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1026)  all_4_22 = e2
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | SIMP: (1026) implies:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1027)  all_4_22 = e2
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | REDUCE: (77), (1027) imply:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1028)   ~ (all_4_7 = e2)
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | REDUCE: (57), (1027) imply:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1029)   ~ (all_4_12 = e2)
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | REDUCE: (40), (1027) imply:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1030)   ~ (all_4_17 = e2)
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | REDUCE: (1014), (1027) imply:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1031)   ~ (e4 = e2)
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | REDUCE: (482), (1027) imply:
% 55.75/8.40  | | | | | | | | | | | | | | |   (1032)   ~ (e3 = e2)
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 55.75/8.40  | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | |   (1033)  all_6_12 = e1
% 55.75/8.40  | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | REF_CLOSE: (440), (489), (1033) are inconsistent by sub-proof
% 55.75/8.40  | | | | | | | | | | | | | | | |            #193.
% 55.75/8.40  | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | |   (1034)   ~ (all_6_12 = e1)
% 55.75/8.40  | | | | | | | | | | | | | | | |   (1035)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 55.75/8.40  | | | | | | | | | | | | | | | |           all_6_12 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | BETA: splitting (1035) gives:
% 55.75/8.40  | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | |   (1036)  all_6_12 = e4
% 55.75/8.40  | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (517), (1036) are inconsistent by sub-proof
% 55.75/8.40  | | | | | | | | | | | | | | | | |            #192.
% 55.75/8.40  | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | |   (1037)   ~ (all_6_12 = e4)
% 55.75/8.40  | | | | | | | | | | | | | | | | |   (1038)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | BETA: splitting (1038) gives:
% 55.75/8.40  | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | |   (1039)  all_6_12 = e2
% 55.75/8.40  | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (1029), (1039) are inconsistent by
% 55.75/8.40  | | | | | | | | | | | | | | | | | |            sub-proof #120.
% 55.75/8.40  | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | |   (1040)   ~ (all_6_12 = e2)
% 55.75/8.40  | | | | | | | | | | | | | | | | | |   (1041)  all_6_12 = e3 | all_6_12 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | BETA: splitting (1041) gives:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1042)  all_6_12 = e3
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (478), (1042) are inconsistent by sub-proof
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |            #175.
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1043)  all_6_12 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (1043) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1044)  all_4_12 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | SIMP: (1044) implies:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1045)  all_4_12 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1046)  all_8_8 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1047)   ~ (all_4_7 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1048)   ~ (all_4_11 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (60), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1049)   ~ (all_4_13 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (59), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1050)   ~ (all_4_14 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1051)   ~ (all_4_17 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (517), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1052)   ~ (e4 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | SIMP: (1052) implies:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1053)   ~ (e4 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (478), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1054)   ~ (e3 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (1029), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1055)   ~ (e2 = e0)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1045) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | |   (1056)  op(e2, e2) = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | |   (1057)  all_6_15 = e1
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1057) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | |   (1058)  all_4_3 = e1
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | REDUCE: (507), (1058) imply:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | |   (1059)  $false
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | CLOSE: (1059) is inconsistent.
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | |   (1060)   ~ (all_6_15 = e1)
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | |   (1061)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 55.75/8.40  | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | |   (1062)  all_6_1 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (1062) are inconsistent by sub-proof
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | |            #119.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | |   (1063)   ~ (all_6_1 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | |   (1064)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | |   (1065)  all_6_3 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (1065) are inconsistent by sub-proof
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | |            #168.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | |   (1066)   ~ (all_6_3 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | |   (1067)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | |   (1068)  all_6_7 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (487), (1068) are inconsistent by sub-proof
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | |            #118.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | |   (1069)   ~ (all_6_7 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | |   (1070)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1071)  all_6_11 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1071) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1072)  all_4_7 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1072) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1073)  all_4_7 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1074)  all_8_7 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1075)  all_10_11 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1076)   ~ (all_4_8 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1077)   ~ (all_4_17 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1077) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1078)   ~ (all_4_17 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1079)   ~ (e3 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1028), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1080)   ~ (e2 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1073) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | |   (1081)  op(e2, e3) = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (1082)  all_6_13 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1078), (1082) are inconsistent by
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #165.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (1083)   ~ (all_6_13 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1084) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_6_13 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1085) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1086)  all_4_17 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1086) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1087)  all_4_17 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (1087) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  all_8_11 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (1087) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  all_10_12 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1087) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)   ~ (all_4_16 = e4)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1087) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)   ~ (all_4_19 = e4)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1091) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)   ~ (all_4_19 = e4)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)  all_6_8 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (1093) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)  all_4_16 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1094) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  all_4_16 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1095) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)  all_8_10 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1095) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)   ~ (all_4_1 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1090), (1095) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)   ~ (e4 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)  all_8_0 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (995), (1099) are inconsistent by sub-proof
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #117.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1100) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  all_8_2 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1101) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_4_1 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1097), (1102) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  $false
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1103) is inconsistent.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11), (16), (17), (19), (21), (22), (23), (24),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (53), (63), (64), (71), (72), (76), (89),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (96), (97), (98), (101), (102), (103),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (114), (115), (128), (129), (133), (134), (142),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (144), (146), (148), (176), (177), (178), (181),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (223), (224), (226), (230), (231), (232),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (244), (245), (250), (256), (284), (302),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (305), (308), (320), (326), (342), (363), (370),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (375), (379), (385), (387), (395), (405), (407),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (409), (415), (418), (419), (422), (427), (429),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (445), (447), (456), (458), (459), (465),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (470), (472), (474), (483), (484), (493),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (494), (499), (506), (507), (508), (509), (525),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (526), (527), (985), (986), (987), (995), (998),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1003), (1005), (1010), (1011), (1012), (1048),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1053), (1056), (1061), (1064), (1070), (1074),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1075), (1081), (1088), (1089), (1092), (1096),
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1104), (function-axioms) are inconsistent by
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #81.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  all_8_2 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1106) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)  all_4_1 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (1107) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)   ~ (all_4_3 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1107) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)   ~ (all_4_16 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1109) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)   ~ (all_4_16 = e1)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  all_8_2 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1106), (1111) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  e4 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1112) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  e4 = e1
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1113) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  $false
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1114) is inconsistent.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_17 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1115) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  all_8_3 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (986), (1053), (1116) are inconsistent by
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #111.
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_8_5 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (1118) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  all_4_11 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1119) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  all_4_11 = e4
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1120) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)   ~ (all_4_13 = e4)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1121) implies:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)   ~ (all_4_13 = e4)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1120) imply:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)   ~ (all_4_16 = e4)
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.41  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  all_8_2 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1106), (1124) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  e2 = e1
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1125) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  $false
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1126) is inconsistent.
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_17 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1127) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  all_8_3 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (986), (1128) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  e2 = e0
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1129) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  $false
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1130) is inconsistent.
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1131)  all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1131) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1132)  all_8_5 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1118), (1132) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1133)  e4 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1133) implies:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1134)  e4 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1134) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1135)  $false
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1135) is inconsistent.
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1136)  all_8_10 = e2 | all_8_17 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1136) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1137)  all_8_10 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (1137) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1138)  all_4_16 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1138) implies:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1139)  all_4_16 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1139) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1140)   ~ (all_4_15 = e2)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1067) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1141)  all_6_3 = e4
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1012), (1141) are inconsistent by
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #167.
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1142)   ~ (all_6_3 = e4)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1143)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1144)  all_8_0 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (1144) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1145)  e2 = e0
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1145) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1146)  $false
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1146) is inconsistent.
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1147)  all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1147) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1148)  all_8_1 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1148) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1149)  all_4_5 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1149) implies:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1150)  all_4_5 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1150) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1151)  all_10_0 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1150) imply:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1152)  op(e4, e3) = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1153)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e4))) & ( ~ (all_10_7 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1153) gives:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1154)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.42  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1154) implies:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1155)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (342), (1089), (1155) are inconsistent by
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #160.
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1156)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1156) implies:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1157)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit =
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1158)  all_8_0 = e3
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (1158) imply:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1159)  e3 = e0
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1159) imply:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1160)  $false
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1160) is inconsistent.
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1161)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e3
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1162)  all_8_9 = e3
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1162) imply:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1163)  all_4_15 = e3
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1163) implies:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1164)  all_4_15 = e3
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1164) imply:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1165)  all_10_2 = e3
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1151), (1157), (1165) are inconsistent by
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #115.
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1166)   ~ (all_8_9 = e3)
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (1166) imply:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1167)   ~ (all_4_15 = e3)
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (379), (466), (1010), (1148),
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1161), (1167) are inconsistent by sub-proof #80.
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.43  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1168)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1168) gives:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1169)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)))
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1169) implies:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1170)   ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1171)   ~ (all_10_0 = e2)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1151), (1171) imply:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1172)  $false
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1172) is inconsistent.
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1173)  all_10_1 = e3 &  ~ (unit = e2)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1173) implies:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1174)  all_10_1 = e3
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (367), (1174) imply:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1175)  e3 = e1
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1175) implies:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1176)  e3 = e1
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1176) imply:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1177)  $false
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1177) is inconsistent.
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1178)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.75/8.44  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1179)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0 &  ~ (unit = e1)))
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1179) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1180)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (1075), (1089), (1180) are inconsistent by
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1181)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1181) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1182)   ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1183)  all_8_0 = e3
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (995), (1183) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1184)  e3 = e0
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1184) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1185)  $false
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1185) is inconsistent.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1186)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e3
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1187)  all_8_9 = e3
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1187) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1188)  all_4_15 = e3
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1188) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1189)  all_4_15 = e3
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1012), (1189) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1190)   ~ (e4 = e3)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1189) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1191)  op(e4, e1) = e3
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1182) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1192)   ~ (all_10_4 = e0)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (998), (1192) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1193)  $false
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1193) is inconsistent.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1194)  all_10_3 = e4 &  ~ (unit = e0)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1194) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1195)   ~ (unit = e0)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1196)  unit = e1
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1196) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1197)  op(e1, e1) = e1
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (1197), (function-axioms) are
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1198)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1199)  all_6_17 = e1
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (509), (1199) are inconsistent by sub-proof
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1200)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1201)  all_8_12 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (1201) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1202)  all_4_3 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1202) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1203)   ~ (all_4_8 = e4)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1203) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1204)   ~ (all_4_8 = e4)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1202) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1205)  op(e1, e4) = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1206)  all_8_1 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1148), (1206) are inconsistent by sub-proof
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #113.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1207)  all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (6), (19), (128), (407), (418),
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (515), (986), (1005), (1053), (1056), (1074),
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1081), (1152), (1195), (1198), (1204), (1205),
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1207), (function-axioms) are inconsistent by
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #108.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1208)   ~ (all_8_12 = e4)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1209)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (405), (1208) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1210)   ~ (all_4_3 = e4)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1061) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1211)  all_6_15 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (1210), (1211) are inconsistent by
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #164.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1212)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1212) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1213)  all_6_15 = e2
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1213) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  all_4_3 = e2
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1214) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)  all_4_3 = e2
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1215) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)   ~ (all_4_13 = e2)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)   ~ (all_4_13 = e2)
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1200) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  all_6_17 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (1122), (1218) are inconsistent by
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #77.
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1209) gives:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  all_8_13 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1220) imply:
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_4_8 = e4
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.45  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1221) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  op(e1, e3) = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (9), (15), (1056), (1152),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1191), (1195), (1198), (1222), (function-axioms)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #75.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (409), (449), (465), (494), (506),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1053), (1217), (1219), (1223) are inconsistent by
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #73.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  all_6_15 = e3 | all_6_15 = e0
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (1224) are inconsistent by
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #107.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)   ~ (all_8_9 = e3)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (1225) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)   ~ (all_4_15 = e3)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (379), (466), (1010), (1148),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1186), (1226) are inconsistent by sub-proof #80.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (379), (441), (466), (495), (1010),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1140), (1143), (1227) are inconsistent by
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #69.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)  all_8_17 = e2
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (985), (1228) are inconsistent by sub-proof
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #121.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)   ~ (all_8_5 = e4)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (1229) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)   ~ (all_4_11 = e4)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1105) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_6_8 = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (1090), (1231) are inconsistent by
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #68.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  all_6_8 = e2
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (1233) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  all_4_16 = e2
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1234) implies:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1235)  all_4_16 = e2
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1235) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1236)   ~ (all_4_11 = e2)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (991), (1048), (1070), (1230), (1236) are
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1237)  all_6_8 = e3 | all_6_8 = e0
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (496), (992), (1237) are inconsistent by
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #65.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1238)   ~ (all_8_2 = e1)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1239)  all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 |
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_17 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (1238) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1240)   ~ (all_4_1 = e1)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1241)  all_8_3 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (986), (1241) are inconsistent by sub-proof
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #64.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1242)   ~ (all_8_3 = e1)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1243)  all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1244)  all_8_0 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (995), (1244) are inconsistent by sub-proof
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #117.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1245)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1245) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1246)  all_8_2 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1246) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1247)  all_4_1 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1240), (1247) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1248)  $false
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1248) is inconsistent.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1249)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1250)  all_8_5 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (387), (487), (1250) are inconsistent by sub-proof
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #166.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1251)  all_8_10 = e1 | all_8_17 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1251) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1252)  all_8_10 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (11), (16), (17), (19), (21), (22), (23), (24),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (48), (53), (63), (64), (71), (72), (76), (89),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (92), (96), (97), (98), (101), (102), (103),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (114), (115), (128), (129), (133), (134), (142),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (144), (146), (148), (176), (177), (178), (181),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (191), (223), (224), (226), (230), (231), (232),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (234), (244), (245), (250), (256), (284), (302),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (305), (308), (320), (326), (342), (363), (370),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (375), (379), (385), (387), (395), (405), (407),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (409), (415), (418), (419), (422), (427), (429),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (435), (445), (447), (456), (458), (459), (465),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (466), (470), (472), (474), (483), (484), (493),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (494), (499), (506), (507), (508), (509), (525),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (526), (527), (985), (986), (987), (995), (998),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1003), (1005), (1010), (1011), (1012), (1048),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1053), (1056), (1061), (1064), (1070), (1074),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1075), (1081), (1088), (1089), (1092), (1249),
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1252), (function-axioms) are inconsistent by
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #81.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1253)  all_8_17 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (1253) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1254)  e3 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1254) implies:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1255)  e3 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1255) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1256)  $false
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1256) is inconsistent.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1257)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (1030), (1257) are
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | |   (1258)   ~ (all_6_11 = e1)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | |   (1259)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (1258) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | |   (1260)   ~ (all_4_7 = e1)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1259) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1261)  all_6_11 = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1261) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1262)  all_4_7 = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1262) implies:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1263)  all_4_7 = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1263) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1264)  all_8_7 = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1263) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1265)   ~ (all_4_8 = e4)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1265) implies:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1266)   ~ (all_4_8 = e4)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1263) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1267)   ~ (all_4_9 = e4)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1267) implies:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1268)   ~ (all_4_9 = e4)
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1263) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | |   (1269)  op(e2, e3) = e4
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1270)  all_8_1 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (484), (1270) are inconsistent by sub-proof
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | |            #63.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1271)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1271) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1272)  all_8_3 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (986), (1272) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1273)  e1 = e0
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1273) imply:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1274)  $false
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1274) is inconsistent.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1275)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1276)  all_8_7 = e1
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1264), (1276) are inconsistent by sub-proof
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #62.
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.46  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1277)  all_8_13 = e1 | all_8_21 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1277) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1278)  all_8_13 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (508), (1278) are inconsistent by sub-proof
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #61.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1279)  all_8_21 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (1279) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1280)  all_4_9 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1281)  all_4_9 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1268), (1281) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1282)   ~ (e4 = e1)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1281) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1283)  op(e0, e3) = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1284)  all_6_16 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (508), (1284) are inconsistent by sub-proof
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #163.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1285)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1286)  unit = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1286) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1287)  op(e1, e1) = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (1287), (function-axioms) are
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1288)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1289)  all_8_20 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1289) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1290)  all_4_4 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1290) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1291)  all_4_4 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (474), (1291) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1292)  $false
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1292) is inconsistent.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1293)  all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 |
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1294)  all_8_4 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (1294) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1295)  e3 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1295) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1296)  $false
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1296) is inconsistent.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1297)  all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 |
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1298)  all_8_1 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1298) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1299)  all_4_5 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1299) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1300)   ~ (all_4_8 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1300) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1301)   ~ (all_4_8 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1011), (1299) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1302)   ~ (e4 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1299) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1303)  op(e4, e3) = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1304)  all_8_12 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (405), (472), (1304) are inconsistent by sub-proof
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #98.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1305)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1305) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1306)  all_8_13 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (1301), (1306) are inconsistent by
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1307)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1307) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1308)  all_8_14 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1308) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1309)  all_4_13 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1309) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1310)  all_4_13 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1310) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1311)   ~ (all_4_14 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1311) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1312)   ~ (all_4_14 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1313)  all_8_12 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (1313) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1314)  all_4_3 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1315)  all_4_3 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1315) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1316)  op(e1, e4) = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1317)  all_8_12 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1313), (1317) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1318)  e4 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1318) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1319)  e4 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1319) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1320)  $false
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1320) is inconsistent.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1321)  all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1322)  all_6_16 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (1322) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1323)  all_4_8 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1266), (1323) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1324)  $false
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1324) is inconsistent.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1325)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1321) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1326)  all_8_13 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1326) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1327)  all_4_8 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1327) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1328)  all_4_8 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1328) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1329)  op(e1, e3) = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1288) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1330)  unit = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (515), (1005), (1316), (1330),
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #94.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1331)  unit = e3 | unit = e2 | unit = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1332)  unit = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1332) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1333)  op(e2, e2) = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1056), (1333), (function-axioms) are
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1334)  unit = e3 | unit = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1334) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1335)  unit = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1335) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1336)  op(e4, e3) = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1335) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1337)  op(e3, e3) = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1335) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1338)  op(e2, e3) = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1335) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1339)  op(e1, e3) = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e3,
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1, simplifying with (1329), (1339) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1340)  e2 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e3,
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (1269), (1338) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1341)  e4 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e3,
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (994), (1337) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1342)  e3 = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e3,
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (1303), (1336) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1343)  e4 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1341), (1343) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1344)  e3 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (1340), (1342), (1344) are inconsistent by
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #152.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1345)  unit = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1345) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1346)  op(e0, e3) = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, simplifying with (1283), (1346) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1347)  e3 = e1
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1347) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1348)  $false
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1348) is inconsistent.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1349)   ~ (all_8_13 = e2)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (1349) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1350)   ~ (all_4_8 = e2)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1325) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1351)  all_6_16 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (1350), (1351) are inconsistent by
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #60.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1352)  all_6_16 = e3 | all_6_16 = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (75), (387), (409), (419), (447), (485),
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (991), (1046), (1297), (1312), (1352) are
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #57.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1353)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (407), (465), (506), (1053), (1266),
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1308), (1353) are inconsistent by sub-proof #56.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1354)  all_8_15 = e3 | all_8_19 = e3
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (465), (506), (1354) are inconsistent
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #156.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1355)   ~ (all_8_1 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1355) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1356)   ~ (all_4_5 = e3)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1357)  all_6_1 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (1357) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1358)  all_4_5 = e4
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1011), (1358) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1359)  $false
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1359) is inconsistent.
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1360)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1361)  all_6_1 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (1361) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1362)  all_4_5 = e2
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1362) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1363)   ~ (all_4_8 = e2)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1363) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1364)   ~ (all_4_8 = e2)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1362) imply:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1365)   ~ (all_4_15 = e2)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1365) implies:
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1366)   ~ (all_4_15 = e2)
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.47  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1362) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1367)  op(e4, e3) = e2
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1067) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1368)  all_6_3 = e4
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1012), (1368) are inconsistent by
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #167.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1369)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1370)  all_6_16 = e4
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (1266), (1370) are inconsistent by
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1371)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1372)  all_6_16 = e2
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (1364), (1372) are inconsistent by
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #60.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1373)  all_6_16 = e3 | all_6_16 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1369) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1374)  all_6_3 = e2
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (1366), (1374) are inconsistent by
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #72.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1375)  all_6_3 = e3 | all_6_3 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1375) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1376)  all_6_3 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (1376) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1377)  all_4_15 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1377) implies:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1378)  all_4_15 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1378) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1379)  op(e4, e1) = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1293) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1380)  all_8_21 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1279), (1380) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1381)  e3 = e1
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1381) implies:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1382)  e3 = e1
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1382) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1383)  $false
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1383) is inconsistent.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1384)  all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1385)  all_8_22 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (1385) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1386)  all_4_14 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1386) implies:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1387)  all_4_14 = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1387) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1388)  op(e0, e2) = e3
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (14), (15), (133),
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (485), (515), (994), (1056), (1283),
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1288), (1367), (1373), (1379), (1388),
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #53.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1389)   ~ (all_8_22 = e3)
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (419), (1389) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1390)   ~ (all_4_14 = e3)
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (75), (387), (409), (419), (447), (485),
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (991), (1046), (1297), (1373), (1390) are
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #57.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1391)  all_6_3 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (495), (1391) are inconsistent by sub-proof
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1392)  all_6_1 = e3 | all_6_1 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1003), (1356), (1392) are inconsistent by
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #99.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (1393)   ~ (all_6_11 = e4)
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (1393) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | |   (1394)   ~ (all_4_7 = e4)
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (20), (21), (237), (238), (395),
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (397), (515), (1025), (1046), (1053), (1260),
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | |            (1394) are inconsistent by sub-proof #50.
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | |   (1395)   ~ (all_8_18 = e2)
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | REDUCE: (400), (1395) imply:
% 55.98/8.48  | | | | | | | | | | | | | | |   (1396)   ~ (all_4_22 = e2)
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | REF_CLOSE: (454), (482), (530), (1024), (1396) are
% 55.98/8.48  | | | | | | | | | | | | | | |            inconsistent by sub-proof #186.
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | |   (1397)   ~ (all_8_0 = e0)
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | REF_CLOSE: (16), (195), (251), (371), (385), (395), (405),
% 55.98/8.48  | | | | | | | | |            (415), (425), (468), (469), (483), (519), (525),
% 55.98/8.48  | | | | | | | | |            (987), (1397) are inconsistent by sub-proof #178.
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | End of split
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | End of split
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | Case 2:
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | |   (1398)  all_10_9 = e1
% 55.98/8.48  | | | | | | |   (1399)  all_10_7 = e3
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | COMBINE_EQS: (348), (1399) imply:
% 55.98/8.48  | | | | | | |   (1400)  all_4_16 = e3
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | COMBINE_EQS: (354), (1398) imply:
% 55.98/8.48  | | | | | | |   (1401)  all_4_6 = e1
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | SIMP: (1401) implies:
% 55.98/8.48  | | | | | | |   (1402)  all_4_6 = e1
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | REDUCE: (113), (1402) imply:
% 55.98/8.48  | | | | | | |   (1403)   ~ (all_4_1 = e1)
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | REDUCE: (87), (1402) imply:
% 55.98/8.48  | | | | | | |   (1404)   ~ (all_4_7 = e1)
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | SIMP: (1404) implies:
% 55.98/8.48  | | | | | | |   (1405)   ~ (all_4_7 = e1)
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | REDUCE: (83), (1400), (1402) imply:
% 55.98/8.48  | | | | | | |   (1406)   ~ (e3 = e1)
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | REDUCE: (43), (1400) imply:
% 55.98/8.48  | | | | | | |   (1407)   ~ (all_4_21 = e3)
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | SIMP: (1407) implies:
% 55.98/8.48  | | | | | | |   (1408)   ~ (all_4_21 = e3)
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | BETA: splitting (237) gives:
% 55.98/8.48  | | | | | | | 
% 55.98/8.48  | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | |   (1409)  all_8_6 = e1
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | | COMBINE_EQS: (395), (1409) imply:
% 55.98/8.48  | | | | | | | |   (1410)  e3 = e1
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | | REDUCE: (17), (1410) imply:
% 55.98/8.48  | | | | | | | |   (1411)  $false
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | | CLOSE: (1411) is inconsistent.
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | |   (1412)   ~ (all_8_6 = e1)
% 55.98/8.48  | | | | | | | |   (1413)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 55.98/8.48  | | | | | | | |           = e1
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | | BETA: splitting (253) gives:
% 55.98/8.48  | | | | | | | | 
% 55.98/8.48  | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | |   (1414)  all_8_0 = e1
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | REF_CLOSE: (371), (469), (1414) are inconsistent by sub-proof
% 55.98/8.48  | | | | | | | | |            #49.
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | |   (1415)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 55.98/8.48  | | | | | | | | |           all_8_20 = e1
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | BETA: splitting (1415) gives:
% 55.98/8.48  | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | |   (1416)  all_8_2 = e1
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | REF_CLOSE: (385), (1403), (1416) are inconsistent by
% 55.98/8.48  | | | | | | | | | |            sub-proof #48.
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | |   (1417)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | BETA: splitting (1417) gives:
% 55.98/8.48  | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | |   (1418)  all_8_6 = e1
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | COMBINE_EQS: (395), (1418) imply:
% 55.98/8.48  | | | | | | | | | | |   (1419)  e3 = e1
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | REDUCE: (17), (1419) imply:
% 55.98/8.48  | | | | | | | | | | |   (1420)  $false
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | CLOSE: (1420) is inconsistent.
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | |   (1421)  all_8_12 = e1 | all_8_20 = e1
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | BETA: splitting (228) gives:
% 55.98/8.48  | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | |   (1422)  all_8_16 = e3
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | COMBINE_EQS: (380), (1422) imply:
% 55.98/8.48  | | | | | | | | | | | |   (1423)  all_4_20 = e3
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | SIMP: (1423) implies:
% 55.98/8.48  | | | | | | | | | | | |   (1424)  all_4_20 = e3
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | COMBINE_EQS: (360), (1424) imply:
% 55.98/8.48  | | | | | | | | | | | |   (1425)  all_10_3 = e3
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | REDUCE: (88), (1424) imply:
% 55.98/8.48  | | | | | | | | | | | |   (1426)   ~ (all_4_5 = e3)
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | REDUCE: (145), (1424) imply:
% 55.98/8.48  | | | | | | | | | | | |   (1427)  op(e4, e0) = e3
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | BETA: splitting (1421) gives:
% 55.98/8.48  | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | |   (1428)  all_8_12 = e1
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | REF_CLOSE: (405), (507), (1428) are inconsistent by sub-proof
% 55.98/8.48  | | | | | | | | | | | | |            #83.
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | |   (1429)  all_8_20 = e1
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | COMBINE_EQS: (415), (1429) imply:
% 55.98/8.48  | | | | | | | | | | | | |   (1430)  all_4_4 = e1
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | SIMP: (1430) implies:
% 55.98/8.48  | | | | | | | | | | | | |   (1431)  all_4_4 = e1
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | REDUCE: (129), (1431) imply:
% 55.98/8.48  | | | | | | | | | | | | |   (1432)  op(e0, e4) = e1
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | BETA: splitting (295) gives:
% 55.98/8.48  | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | |   (1433)   ~ (all_10_4 = e0)
% 55.98/8.48  | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | REDUCE: (467), (1433) imply:
% 55.98/8.48  | | | | | | | | | | | | | |   (1434)   ~ (all_4_0 = e0)
% 55.98/8.48  | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 55.98/8.48  | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | |   (1435)  all_6_0 = e1
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | REF_CLOSE: (425), (469), (1435) are inconsistent by sub-proof
% 55.98/8.48  | | | | | | | | | | | | | | |            #185.
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | |   (1436)   ~ (all_6_0 = e1)
% 55.98/8.48  | | | | | | | | | | | | | | |   (1437)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 55.98/8.48  | | | | | | | | | | | | | | |           all_6_0 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | BETA: splitting (1437) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | |   (1438)  all_6_0 = e4
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1438) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | |   (1439)  all_4_0 = e4
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | SIMP: (1439) implies:
% 55.98/8.48  | | | | | | | | | | | | | | | |   (1440)  all_4_0 = e4
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (1440) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | |   (1441)  all_8_0 = e4
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | REDUCE: (1434), (1440) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | |   (1442)   ~ (e4 = e0)
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | BETA: splitting (252) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | |   (1443)  all_8_0 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | REF_CLOSE: (1441), (1442), (1443) are inconsistent by
% 55.98/8.48  | | | | | | | | | | | | | | | | |            sub-proof #184.
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | |   (1444)  all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 55.98/8.48  | | | | | | | | | | | | | | | | |           all_8_16 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 55.98/8.48  | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.48  | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | |   (1445)  all_8_1 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1445) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | |   (1446)  all_4_5 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | SIMP: (1446) implies:
% 55.98/8.48  | | | | | | | | | | | | | | | | | |   (1447)  all_4_5 = e0
% 55.98/8.48  | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | REDUCE: (93), (1447) imply:
% 55.98/8.48  | | | | | | | | | | | | | | | | | |   (1448)   ~ (all_4_7 = e0)
% 55.98/8.48  | | | | | | | | | | | | | | | | | | 
% 55.98/8.48  | | | | | | | | | | | | | | | | | | SIMP: (1448) implies:
% 55.98/8.49  | | | | | | | | | | | | | | | | | |   (1449)   ~ (all_4_7 = e0)
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | REDUCE: (1426), (1447) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | |   (1450)   ~ (e3 = e0)
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | REDUCE: (148), (1447) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | |   (1451)  op(e4, e3) = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | |   (1452)  all_8_6 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1452) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | |   (1453)  e3 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1453) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | |   (1454)  $false
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | CLOSE: (1454) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | |   (1455)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 55.98/8.49  | | | | | | | | | | | | | | | | | | |           all_8_18 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | BETA: splitting (1455) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | |   (1456)  all_8_7 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1456) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | |   (1457)  all_4_7 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | REDUCE: (1449), (1457) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | |   (1458)  $false
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | CLOSE: (1458) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | |   (1459)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1459) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1460)  all_8_8 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1460) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1461)  all_4_12 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1461) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1462)  all_10_14 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1461) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1463)   ~ (all_4_22 = e0)
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (1461) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1464)   ~ (e4 = e0)
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1461) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1465)  op(e2, e2) = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | |   (1466)   ~ (all_10_14 = e0)
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1462), (1466) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | |   (1467)  $false
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1467) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | |   (1468)  all_10_13 = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (1468) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | |   (1469)  all_4_22 = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1469) implies:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | |   (1470)  all_4_22 = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1470) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | |   (1471)  all_8_18 = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | |   (1472)  all_8_6 = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (395), (1472) are inconsistent by sub-proof
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | |            #47.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | |   (1473)  all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  all_8_7 = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1474) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  all_4_7 = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1475) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | |   (1476)  op(e2, e3) = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (1477)  unit = e1
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1477) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (1478)  op(e1, e1) = e1
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (1478), (function-axioms) are
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | |   (1479)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1480)  unit = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (23), (24), (515), (1451), (1480),
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | |            #140.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1481)  unit = e3 | unit = e2 | unit = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1481) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1482)  unit = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1482) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1483)  op(e2, e2) = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (1465), (1483), (function-axioms) are
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1484)  unit = e3 | unit = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1484) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1485)  unit = e3
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1485) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1486)  op(e4, e3) = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1485) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1487)  op(e2, e3) = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e3,
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, simplifying with (1476), (1487) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1488)  e4 = e2
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e4, e3,
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (1451), (1486) gives:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1489)  e4 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1488), (1489) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1490)  e2 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1490) implies:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1491)  e2 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1491) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1492)  $false
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1492) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1493)  unit = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1493) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  op(e0, e4) = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1493) imply:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1495)  op(e4, e0) = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1427), (1432), (1494), (1495),
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #138.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (20), (397), (515), (1405), (1413),
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | |            (1442), (1460), (1471), (1496) are inconsistent by
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #51.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |   (1497)  all_8_11 = e0 | all_8_18 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (399), (400), (497), (530), (1497) are
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | |   (1498)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (379), (466), (495), (515), (1422), (1498)
% 55.98/8.49  | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #131.
% 55.98/8.49  | | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | |   (1499)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | | REF_CLOSE: (425), (468), (519), (1434), (1499) are
% 55.98/8.49  | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 55.98/8.49  | | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | |   (1500)  all_10_3 = e4
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | COMBINE_EQS: (1425), (1500) imply:
% 55.98/8.49  | | | | | | | | | | | | | |   (1501)  e4 = e3
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | SIMP: (1501) implies:
% 55.98/8.49  | | | | | | | | | | | | | |   (1502)  e4 = e3
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | REDUCE: (21), (1502) imply:
% 55.98/8.49  | | | | | | | | | | | | | |   (1503)  $false
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | CLOSE: (1503) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | |   (1504)  all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 55.98/8.49  | | | | | | | | | | | |           all_8_24 = e3
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | BETA: splitting (1504) gives:
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | |   (1505)  all_8_17 = e3
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | REF_CLOSE: (390), (1408), (1505) are inconsistent by
% 55.98/8.49  | | | | | | | | | | | | |            sub-proof #45.
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | |   (1506)  all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | BETA: splitting (1506) gives:
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | |   (1507)  all_8_18 = e3
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | REF_CLOSE: (400), (482), (1507) are inconsistent by sub-proof
% 55.98/8.49  | | | | | | | | | | | | | |            #44.
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | |   (1508)  all_8_19 = e3 | all_8_24 = e3
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | |   (1509)  all_8_19 = e3
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1509) imply:
% 55.98/8.49  | | | | | | | | | | | | | | |   (1510)  e3 = e1
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | REDUCE: (17), (1510) imply:
% 55.98/8.49  | | | | | | | | | | | | | | |   (1511)  $false
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | CLOSE: (1511) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | |   (1512)  all_8_24 = e3
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | COMBINE_EQS: (522), (1512) imply:
% 55.98/8.49  | | | | | | | | | | | | | | |   (1513)  e3 = e0
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | REDUCE: (16), (1513) imply:
% 55.98/8.49  | | | | | | | | | | | | | | |   (1514)  $false
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | | CLOSE: (1514) is inconsistent.
% 55.98/8.49  | | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | | 
% 55.98/8.49  | | | | | | | | End of split
% 55.98/8.49  | | | | | | | | 
% 55.98/8.49  | | | | | | | End of split
% 55.98/8.49  | | | | | | | 
% 55.98/8.49  | | | | | | End of split
% 55.98/8.49  | | | | | | 
% 55.98/8.49  | | | | | Case 2:
% 55.98/8.49  | | | | | | 
% 55.98/8.49  | | | | | |   (1515)   ~ (all_8_24 = e0)
% 55.98/8.49  | | | | | |   (1516)  (all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19
% 55.98/8.49  | | | | | |             = e0) & (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 |
% 55.98/8.49  | | | | | |             all_8_23 = e0)
% 55.98/8.49  | | | | | | 
% 55.98/8.49  | | | | | | ALPHA: (1516) implies:
% 55.98/8.49  | | | | | |   (1517)  all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 =
% 55.98/8.49  | | | | | |           e0
% 55.98/8.49  | | | | | | 
% 55.98/8.49  | | | | | | REDUCE: (423), (1515) imply:
% 55.98/8.49  | | | | | |   (1518)   ~ (all_4_24 = e0)
% 55.98/8.49  | | | | | | 
% 55.98/8.49  | | | | | | BETA: splitting (292) gives:
% 55.98/8.49  | | | | | | 
% 55.98/8.49  | | | | | | Case 1:
% 55.98/8.49  | | | | | | | 
% 55.98/8.49  | | | | | | |   (1519)   ~ (all_10_9 = e1)
% 55.98/8.49  | | | | | | | 
% 55.98/8.49  | | | | | | | REDUCE: (354), (1519) imply:
% 55.98/8.49  | | | | | | |   (1520)   ~ (all_4_6 = e1)
% 55.98/8.49  | | | | | | | 
% 55.98/8.49  | | | | | | | BETA: splitting (287) gives:
% 55.98/8.49  | | | | | | | 
% 55.98/8.49  | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | 
% 55.98/8.49  | | | | | | | |   (1521)   ~ (all_10_24 = e4)
% 55.98/8.49  | | | | | | | | 
% 55.98/8.49  | | | | | | | | REDUCE: (299), (1521) imply:
% 55.98/8.49  | | | | | | | |   (1522)   ~ (all_4_24 = e4)
% 55.98/8.49  | | | | | | | | 
% 55.98/8.49  | | | | | | | | BETA: splitting (291) gives:
% 55.98/8.49  | | | | | | | | 
% 55.98/8.49  | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | 
% 55.98/8.49  | | | | | | | | |   (1523)   ~ (all_10_9 = e0)
% 55.98/8.49  | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | REDUCE: (354), (1523) imply:
% 55.98/8.49  | | | | | | | | |   (1524)   ~ (all_4_6 = e0)
% 55.98/8.49  | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | BETA: splitting (295) gives:
% 55.98/8.49  | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | |   (1525)   ~ (all_10_4 = e0)
% 55.98/8.49  | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | REDUCE: (467), (1525) imply:
% 55.98/8.49  | | | | | | | | | |   (1526)   ~ (all_4_0 = e0)
% 55.98/8.49  | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | BETA: splitting (195) gives:
% 55.98/8.49  | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | |   (1527)  all_6_0 = e1
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | REF_CLOSE: (425), (469), (1527) are inconsistent by sub-proof
% 55.98/8.49  | | | | | | | | | | |            #185.
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | Case 2:
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | |   (1528)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 55.98/8.49  | | | | | | | | | | |           all_6_0 = e0
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | BETA: splitting (1528) gives:
% 55.98/8.49  | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | Case 1:
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | |   (1529)  all_6_0 = e4
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | COMBINE_EQS: (425), (1529) imply:
% 55.98/8.49  | | | | | | | | | | | |   (1530)  all_4_0 = e4
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | SIMP: (1530) implies:
% 55.98/8.49  | | | | | | | | | | | |   (1531)  all_4_0 = e4
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | COMBINE_EQS: (371), (1531) imply:
% 55.98/8.49  | | | | | | | | | | | |   (1532)  all_8_0 = e4
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | REDUCE: (122), (1531) imply:
% 55.98/8.49  | | | | | | | | | | | |   (1533)   ~ (all_4_3 = e4)
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.49  | | | | | | | | | | | | SIMP: (1533) implies:
% 55.98/8.49  | | | | | | | | | | | |   (1534)   ~ (all_4_3 = e4)
% 55.98/8.49  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | REDUCE: (121), (1531) imply:
% 55.98/8.50  | | | | | | | | | | | |   (1535)   ~ (all_4_4 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | SIMP: (1535) implies:
% 55.98/8.50  | | | | | | | | | | | |   (1536)   ~ (all_4_4 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | REDUCE: (120), (1531) imply:
% 55.98/8.50  | | | | | | | | | | | |   (1537)   ~ (all_4_5 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | SIMP: (1537) implies:
% 55.98/8.50  | | | | | | | | | | | |   (1538)   ~ (all_4_5 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | REDUCE: (118), (1531) imply:
% 55.98/8.50  | | | | | | | | | | | |   (1539)   ~ (all_4_15 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | SIMP: (1539) implies:
% 55.98/8.50  | | | | | | | | | | | |   (1540)   ~ (all_4_15 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | REDUCE: (117), (1531) imply:
% 55.98/8.50  | | | | | | | | | | | |   (1541)   ~ (all_4_20 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | SIMP: (1541) implies:
% 55.98/8.50  | | | | | | | | | | | |   (1542)   ~ (all_4_20 = e4)
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | BETA: splitting (182) gives:
% 55.98/8.50  | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | |   (1543)  all_6_15 = e1
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | COMBINE_EQS: (445), (1543) imply:
% 55.98/8.50  | | | | | | | | | | | | |   (1544)  all_4_3 = e1
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | REDUCE: (507), (1544) imply:
% 55.98/8.50  | | | | | | | | | | | | |   (1545)  $false
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | CLOSE: (1545) is inconsistent.
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | |   (1546)   ~ (all_6_15 = e1)
% 55.98/8.50  | | | | | | | | | | | | |   (1547)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 55.98/8.50  | | | | | | | | | | | | |           all_6_15 = e0
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | BETA: splitting (1547) gives:
% 55.98/8.50  | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | |   (1548)  all_6_15 = e4
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | COMBINE_EQS: (445), (1548) imply:
% 55.98/8.50  | | | | | | | | | | | | | |   (1549)  all_4_3 = e4
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | REDUCE: (1534), (1549) imply:
% 55.98/8.50  | | | | | | | | | | | | | |   (1550)  $false
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | CLOSE: (1550) is inconsistent.
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | |   (1551)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 55.98/8.50  | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | |   (1552)  all_6_15 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1552) imply:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1553)  all_4_3 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | COMBINE_EQS: (405), (1553) imply:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1554)  all_8_12 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | COMBINE_EQS: (326), (1553) imply:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1555)  all_10_15 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | REDUCE: (103), (1553) imply:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1556)   ~ (all_4_4 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | SIMP: (1556) implies:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1557)   ~ (all_4_4 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | REDUCE: (102), (1553) imply:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1558)   ~ (all_4_8 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | SIMP: (1558) implies:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1559)   ~ (all_4_8 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | REDUCE: (101), (1553) imply:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1560)   ~ (all_4_13 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | SIMP: (1560) implies:
% 55.98/8.50  | | | | | | | | | | | | | | |   (1561)   ~ (all_4_13 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | |   (1562)   ~ (all_10_9 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | REDUCE: (354), (1562) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | |   (1563)   ~ (all_4_6 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | |   (1564)  all_6_6 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1520), (1564) are inconsistent by
% 55.98/8.50  | | | | | | | | | | | | | | | | |            sub-proof #43.
% 55.98/8.50  | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | |   (1565)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 55.98/8.50  | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | |   (1566)  all_6_6 = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (521), (1566) are inconsistent by sub-proof
% 55.98/8.50  | | | | | | | | | | | | | | | | | |            #42.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | |   (1567)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | BETA: splitting (1567) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | |   (1568)  all_6_6 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1563), (1568) are inconsistent by
% 55.98/8.50  | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | |   (1569)   ~ (all_6_6 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | |   (1570)  all_6_6 = e3 | all_6_6 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | BETA: splitting (1570) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1571)  all_6_6 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1571) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1572)  all_4_6 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | SIMP: (1572) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1573)  all_4_6 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1573) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1574)  all_8_3 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1573) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1575)   ~ (all_4_5 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (1573) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1576)   ~ (all_4_8 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | SIMP: (1576) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1577)   ~ (all_4_8 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1573) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1578)   ~ (all_4_9 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | SIMP: (1578) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | |   (1579)   ~ (all_4_9 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | |   (1580)  all_6_16 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (1580) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | |   (1581)  all_4_8 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (1581) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | |   (1582)  $false
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1582) is inconsistent.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | |   (1583)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | |   (1584)  all_8_12 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1554), (1584) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | |   (1585)  e3 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1585) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | |   (1586)  $false
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1586) is inconsistent.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | |   (1587)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1583) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1588)  all_6_16 = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (1588) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1589)  all_4_8 = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1589) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1590)  all_8_13 = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1589) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1591)   ~ (all_4_9 = e4)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1591) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1592)   ~ (all_4_9 = e4)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1589) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1593)   ~ (all_4_13 = e4)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1593) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1594)   ~ (all_4_13 = e4)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1589) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | |   (1595)  op(e1, e3) = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1596)   ~ (all_10_24 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (1596) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1597)   ~ (all_4_24 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (1598)  all_6_24 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (514), (1598) are inconsistent by sub-proof
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | |            #40.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (1599)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_24 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1599) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1600)  all_6_24 = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1522), (1600) are inconsistent by
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #39.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1601)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1602)  all_6_24 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1602) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1603)  all_4_24 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1603) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1604)  all_4_24 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (1604) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1605)  all_10_24 = e2
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1604) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1606)   ~ (all_4_9 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1607)   ~ (all_10_24 = e2)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1605), (1607) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1608)  $false
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1608) is inconsistent.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1609)  all_10_22 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (1609) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1610)  all_4_14 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1610) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1611)  all_4_14 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1611) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1612)   ~ (all_4_4 = e0)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1611) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1613)   ~ (all_4_9 = e0)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1614)  all_6_20 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1614) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1615)  all_4_4 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1615) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1616)  all_4_4 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1616) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1617)   ~ (all_4_9 = e1)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1617) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1618)   ~ (all_4_9 = e1)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1619)  all_6_21 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (1618), (1619) are inconsistent by
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #162.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1620)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1620) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1621)  all_6_21 = e4
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (1592), (1621) are inconsistent by
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #161.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1622)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (1579), (1606), (1613), (1622) are
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #135.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1623)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (474), (1536), (1557), (1612), (1623) are
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #38.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1624)  all_6_24 = e3 | all_6_24 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1518), (1597), (1624) are inconsistent by
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #36.
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1625)  all_10_24 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1626)  all_10_21 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (1626) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1627)  all_4_9 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1627) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1628)  all_4_9 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (1625) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1629)  all_4_24 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1629) implies:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1630)  all_4_24 = e3
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (1628) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1631)  all_8_21 = e0
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1628) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1632)   ~ (all_4_4 = e0)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1628) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1633)   ~ (all_4_5 = e0)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1630) imply:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | |   (1634)   ~ (all_4_20 = e3)
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | |   (1635)  all_6_20 = e1
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.50  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1635) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (1636)  all_4_4 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1636) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (1637)  all_4_4 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1637) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (1638)   ~ (all_4_1 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1536), (1637) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (1639)   ~ (e4 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (474), (1637) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | |   (1640)   ~ (e3 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1641)  all_6_1 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (1641) are inconsistent by sub-proof
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1642)   ~ (all_6_1 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1643)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1644)  all_6_1 = e4
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1538), (1644) are inconsistent by
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #116.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1645)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1646)  all_8_1 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (484), (1646) are inconsistent by sub-proof
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #63.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1647)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1647) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1648)  all_8_3 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1574), (1648) are inconsistent by sub-proof
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #35.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1649)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1650)  all_6_1 = e2
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (1650) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1651)  all_4_5 = e2
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1651) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1652)  all_4_5 = e2
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (1652) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1653)  all_10_0 = e2
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1652) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1654)   ~ (all_4_7 = e2)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1654) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1655)   ~ (all_4_7 = e2)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1652) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1656)   ~ (all_4_15 = e2)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1656) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1657)   ~ (all_4_15 = e2)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (1652) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1658)   ~ (all_4_20 = e2)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1658) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1659)   ~ (all_4_20 = e2)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1652) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1660)  op(e4, e3) = e2
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1661)  all_6_3 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (1661) are inconsistent by sub-proof
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1662)   ~ (all_6_3 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_6_4 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (510), (1664) are inconsistent by sub-proof
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #172.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1665)   ~ (all_6_4 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1666) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  all_6_4 = e4
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (1542), (1667) are inconsistent by
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #130.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)   ~ (all_6_4 = e4)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1669) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  all_6_4 = e2
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (1659), (1670) are inconsistent by
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #129.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  all_6_4 = e3 | all_6_4 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)  all_6_4 = e3
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (1634), (1672) are inconsistent by
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #128.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  all_6_4 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1673) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  all_4_20 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1674) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  all_4_20 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1675) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)   ~ (all_4_22 = e0)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1676) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)   ~ (all_4_22 = e0)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1542), (1675) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)   ~ (e4 = e0)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1678) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)   ~ (e4 = e0)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1634), (1675) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)   ~ (e3 = e0)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (1675) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)   ~ (e1 = e0)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1649) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  all_8_7 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1682) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  all_4_7 = e1
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1683) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)   ~ (all_4_17 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1684) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)   ~ (all_4_17 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1655), (1683) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)   ~ (e2 = e1)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)  all_8_0 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1532), (1679), (1687) are inconsistent by
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #184.
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1688) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  all_8_2 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1689) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  all_4_1 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  all_4_1 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1691) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)  all_10_5 = e0
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)  all_8_9 = e3
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1693) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)  all_4_15 = e3
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1694) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)  all_10_2 = e3
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1540), (1694) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)   ~ (e4 = e3)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1694) imply:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  op(e4, e1) = e3
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e4))) & ( ~ (all_10_7 = e4) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1698) gives:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.51  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1699) implies:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  all_8_6 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1701) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  e3 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1702) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  $false
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1703) is inconsistent.
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1704) gives:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_8_7 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1682), (1705) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  e1 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1706) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  $false
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1707) is inconsistent.
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1708) gives:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)  all_8_8 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1709) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)  all_4_12 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1710) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  all_10_14 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1710) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)   ~ (all_4_17 = e0)
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)   ~ (all_10_14 = e0)
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1711), (1713) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)  $false
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1714) is inconsistent.
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)  all_10_13 = e2
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (1715) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)  all_4_22 = e2
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1716) implies:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)  all_4_22 = e2
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1717) imply:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)   ~ (all_4_17 = e2)
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (184), (332), (342), (444), (480), (497),
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1685), (1700), (1718) are inconsistent by
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #34.
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  all_8_11 = e0 | all_8_18 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (399), (400), (497), (1677), (1719) are
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1720) implies:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit =
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1653), (1695), (1721) are inconsistent by
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #115.
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.52  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1722) gives:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)))
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (320), (409), (465), (506),
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1555), (1587), (1590), (1594), (1723) are
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #155.
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1724) gives:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0 &  ~ (unit = e1)))
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1725) implies:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)   ~ (all_10_1 = e1) | (all_10_2 = e2 &  ~ (unit =
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1726) gives:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)   ~ (all_10_1 = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (367), (1727) imply:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  $false
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1728) is inconsistent.
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  all_10_2 = e2 &  ~ (unit = e1)
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1729) implies:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)  all_10_2 = e2
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1695), (1730) imply:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  e3 = e2
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1731) implies:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  e3 = e2
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1732) imply:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)  $false
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1733) is inconsistent.
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.53  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1734) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)   ~ (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)  all_8_6 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1736) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)  e3 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1737) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)  $false
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1738) is inconsistent.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1739) gives:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)  all_8_7 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1682), (1740) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  e1 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1741) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  $false
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1742) is inconsistent.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1743) gives:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)  all_8_8 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1744) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  all_4_12 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1745) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)  op(e2, e2) = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1735) gives:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)   ~ (all_10_5 = e0)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1692), (1747) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  $false
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1748) is inconsistent.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  all_10_8 = e4 &  ~ (unit = e0)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1749) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)   ~ (unit = e0)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (9), (11), (15), (22), (1595),
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1660), (1697), (1746), (1750), (function-axioms)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #33.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)  all_8_11 = e0 | all_8_18 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (399), (400), (497), (1677), (1751) are
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1752)   ~ (all_8_9 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (1752) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)   ~ (all_4_15 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (495), (1540), (1657), (1663), (1753) are
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (395), (405), (415), (483), (1632), (1754)
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #181.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)  all_8_13 = e1 | all_8_21 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1755) gives:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  all_8_13 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1590), (1756) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  e4 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1757) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  e4 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1758) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  $false
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1759) is inconsistent.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  all_8_21 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1631), (1760) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)  e1 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1761) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)  $false
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1762) is inconsistent.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1763)  all_6_1 = e3 | all_6_1 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1575), (1633), (1763) are inconsistent by
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #99.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | |   (1764)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (474), (1536), (1557), (1632), (1764) are
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #38.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | |   (1765)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (1559), (1577), (1765) are
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | |   (1766)  all_6_6 = e0
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1524), (1766) are inconsistent by
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | End of split
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1767)  all_10_9 = e2
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1768)  all_10_6 = e3
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1768) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1769)  all_4_11 = e3
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | SIMP: (1769) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1770)  all_4_11 = e3
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (1767) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1771)  all_4_6 = e2
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | SIMP: (1771) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1772)  all_4_6 = e2
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | REDUCE: (94), (1772) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1773)   ~ (all_4_5 = e2)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | REDUCE: (84), (1770), (1772) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1774)   ~ (e3 = e2)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | REDUCE: (64), (1770) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1775)   ~ (all_4_13 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | SIMP: (1775) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1776)   ~ (all_4_13 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | REDUCE: (63), (1770) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1777)   ~ (all_4_14 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | SIMP: (1777) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1778)   ~ (all_4_14 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | REDUCE: (61), (1770) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1779)   ~ (all_4_21 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | SIMP: (1779) implies:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1780)   ~ (all_4_21 = e3)
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | REDUCE: (143), (1772) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | |   (1781)  op(e3, e3) = e2
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 55.98/8.54  | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | Case 1:
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | |   (1782)  all_6_17 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1782) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | |   (1783)  all_4_13 = e1
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | REDUCE: (509), (1783) imply:
% 55.98/8.54  | | | | | | | | | | | | | | | | |   (1784)  $false
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | | CLOSE: (1784) is inconsistent.
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | Case 2:
% 55.98/8.54  | | | | | | | | | | | | | | | | | 
% 55.98/8.54  | | | | | | | | | | | | | | | | |   (1785)   ~ (all_6_17 = e1)
% 56.40/8.54  | | | | | | | | | | | | | | | | |   (1786)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 56.40/8.54  | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 56.40/8.54  | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | |   (1787)  all_8_12 = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1554), (1787) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | |   (1788)  e3 = e2
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | REDUCE: (18), (1788) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | |   (1789)  $false
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | CLOSE: (1789) is inconsistent.
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | |   (1790)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 56.40/8.54  | | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | BETA: splitting (1786) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | |   (1791)  all_6_17 = e4
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1791) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | |   (1792)  all_4_13 = e4
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1792) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | |   (1793)  all_8_14 = e4
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1792) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | |   (1794)   ~ (all_4_14 = e4)
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | |   (1795)   ~ (all_4_14 = e4)
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | BETA: splitting (1790) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | |   (1796)  all_8_13 = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1796) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | |   (1797)  all_4_8 = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | SIMP: (1797) implies:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | |   (1798)  all_4_8 = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1798) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | |   (1799)   ~ (all_4_5 = e3)
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1798) imply:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | |   (1800)  op(e1, e3) = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | |   (1801)  all_6_1 = e1
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (1801) are inconsistent by sub-proof
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | |            #119.
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | |   (1802)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1802) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | |   (1803)  all_6_1 = e4
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1538), (1803) are inconsistent by
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #116.
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | |   (1804)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1804) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | |   (1805)  all_6_1 = e2
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1773), (1805) are inconsistent by
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #28.
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | |   (1806)  all_6_1 = e3 | all_6_1 = e0
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1806) gives:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | |   (1807)  all_6_1 = e3
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1799), (1807) are inconsistent by
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #101.
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.54  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | |   (1808)  all_6_1 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (1808) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | |   (1809)  all_4_5 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1809) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | |   (1810)  all_4_5 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1810) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | |   (1811)   ~ (all_4_9 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1811) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | |   (1812)   ~ (all_4_9 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (1810) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | |   (1813)  op(e4, e3) = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (1814)   ~ (all_10_24 = e3)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (1814) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (1815)   ~ (all_4_24 = e3)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1816)  all_6_24 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (514), (1816) are inconsistent by sub-proof
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | |            #40.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1817)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_24 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1818)  all_8_16 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (1818) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1819)  all_4_20 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1819) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1820)  all_4_20 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1820) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1821)   ~ (all_4_24 = e3)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1820) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1822)  op(e4, e0) = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1823)  all_6_24 = e4
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1823) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1824)  all_4_24 = e4
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1522), (1824) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1825)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1825) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1826)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1826) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1827)  all_6_24 = e2
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1827) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1828)  all_4_24 = e2
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (1828) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1829)  all_10_24 = e2
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1830)   ~ (all_10_24 = e2)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1829), (1830) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1831)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1831) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1832)  all_10_22 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (1832) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1833)  all_4_14 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1833) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1834)  all_4_14 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1834) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1835)   ~ (all_4_4 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1795), (1834) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1836)   ~ (e4 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1836) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1837)   ~ (e4 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1778), (1834) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1838)   ~ (e3 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1834) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1839)   ~ (e1 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1840)  all_8_0 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1532), (1837), (1840) are inconsistent by
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #184.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1841)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1841) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1842)  all_8_2 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1842) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1843)  all_4_1 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1843) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1844)  all_4_1 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1844) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1845)   ~ (all_4_4 = e0)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1846)  all_8_0 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1532), (1846) are inconsistent by sub-proof
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #171.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1847)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1848)  all_6_20 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1848) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1849)  all_4_4 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (474), (1849) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1850)   ~ (e3 = e1)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1557), (1849) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1851)   ~ (e2 = e1)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (1849) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1852)  op(e0, e4) = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1853)  unit = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1853) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1854)  op(e1, e1) = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (1854), (function-axioms) are
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1855)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1855) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1856)  unit = e4
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (23), (24), (515), (1813), (1856),
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #140.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1857)  unit = e3 | unit = e2 | unit = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1857) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1858)  unit = e2
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1858) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1859)  op(e2, e4) = e4
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1858) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1860)  op(e4, e2) = e4
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (24), (1859), (1860),
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #27.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1861)  unit = e3 | unit = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (6), (10), (15), (17), (1781), (1800),
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1822), (1852), (1861), (function-axioms) are
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #137.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1862)   ~ (all_6_20 = e1)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (1862) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1863)   ~ (all_4_4 = e1)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1847) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1864)  all_8_2 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1842), (1864) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1865)  e1 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (1865) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1866)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1866) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1867)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (395), (405), (415), (507), (1863), (1867)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #82.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1868)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (395), (405), (415), (483), (1835), (1868)
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #181.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1869)  all_6_24 = e3 | all_6_24 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1518), (1815), (1869) are inconsistent by
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #36.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1870)  all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 |
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1870) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1871)  all_8_17 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (1780), (1871) are inconsistent by
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #45.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1872)  all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1872) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1873)  all_8_18 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (482), (1873) are inconsistent by sub-proof
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #44.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1874)  all_8_19 = e3 | all_8_24 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1874) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1875)  all_8_19 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (1875) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1876)  e3 = e1
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1876) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1877)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1877) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1878)  all_8_24 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (1878) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1879)  all_4_24 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1879) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1880)  all_4_24 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1815), (1880) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1881)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1881) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (1882)  all_10_21 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (1882) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (1883)  all_4_9 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1883) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (1884)  all_4_9 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1812), (1884) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | |   (1885)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1885) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | |   (1886)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | |   (1887)  all_8_14 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1793), (1887) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | |   (1888)  e4 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | SIMP: (1888) implies:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | |   (1889)  e4 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (1889) imply:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | |   (1890)  $false
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1890) is inconsistent.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | |   (1891)  all_8_15 = e3 | all_8_19 = e3
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (465), (506), (1891) are inconsistent
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | |            by sub-proof #156.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | |   (1892)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (494), (1561), (1776), (1892) are
% 56.40/8.55  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #26.
% 56.40/8.55  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | |   (1893)  all_6_15 = e3 | all_6_15 = e0
% 56.40/8.55  | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (1893) are inconsistent by
% 56.40/8.55  | | | | | | | | | | | | | | |            sub-proof #107.
% 56.40/8.55  | | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | |   (1894)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 56.40/8.55  | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | | REF_CLOSE: (425), (468), (519), (1526), (1894) are
% 56.40/8.55  | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 56.40/8.55  | | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | End of split
% 56.40/8.55  | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | Case 2:
% 56.40/8.55  | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | |   (1895)  all_10_4 = e0
% 56.40/8.55  | | | | | | | | | |   (1896)  all_10_3 = e4
% 56.40/8.55  | | | | | | | | | | 
% 56.40/8.55  | | | | | | | | | | COMBINE_EQS: (360), (1896) imply:
% 56.40/8.56  | | | | | | | | | |   (1897)  all_4_20 = e4
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | COMBINE_EQS: (467), (1895) imply:
% 56.40/8.56  | | | | | | | | | |   (1898)  all_4_0 = e0
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | SIMP: (1898) implies:
% 56.40/8.56  | | | | | | | | | |   (1899)  all_4_0 = e0
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | COMBINE_EQS: (380), (1897) imply:
% 56.40/8.56  | | | | | | | | | |   (1900)  all_8_16 = e4
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | COMBINE_EQS: (371), (1899) imply:
% 56.40/8.56  | | | | | | | | | |   (1901)  all_8_0 = e0
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (124), (1899) imply:
% 56.40/8.56  | | | | | | | | | |   (1902)   ~ (all_4_1 = e0)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | SIMP: (1902) implies:
% 56.40/8.56  | | | | | | | | | |   (1903)   ~ (all_4_1 = e0)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (122), (1899) imply:
% 56.40/8.56  | | | | | | | | | |   (1904)   ~ (all_4_3 = e0)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (118), (1899) imply:
% 56.40/8.56  | | | | | | | | | |   (1905)   ~ (all_4_15 = e0)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (88), (1897) imply:
% 56.40/8.56  | | | | | | | | | |   (1906)   ~ (all_4_5 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (47), (1897) imply:
% 56.40/8.56  | | | | | | | | | |   (1907)   ~ (all_4_15 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (36), (1897) imply:
% 56.40/8.56  | | | | | | | | | |   (1908)   ~ (all_4_21 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | SIMP: (1908) implies:
% 56.40/8.56  | | | | | | | | | |   (1909)   ~ (all_4_21 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (35), (1897) imply:
% 56.40/8.56  | | | | | | | | | |   (1910)   ~ (all_4_22 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | SIMP: (1910) implies:
% 56.40/8.56  | | | | | | | | | |   (1911)   ~ (all_4_22 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (33), (1897) imply:
% 56.40/8.56  | | | | | | | | | |   (1912)   ~ (all_4_24 = e4)
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | REDUCE: (149), (1899) imply:
% 56.40/8.56  | | | | | | | | | |   (1913)  op(e4, e4) = e0
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | BETA: splitting (289) gives:
% 56.40/8.56  | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | |   (1914)   ~ (all_10_14 = e0)
% 56.40/8.56  | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | REDUCE: (335), (1914) imply:
% 56.40/8.56  | | | | | | | | | | |   (1915)   ~ (all_4_12 = e0)
% 56.40/8.56  | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | BETA: splitting (185) gives:
% 56.40/8.56  | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | |   (1916)  all_6_12 = e1
% 56.40/8.56  | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | REF_CLOSE: (440), (489), (1916) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | |            #193.
% 56.40/8.56  | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | |   (1917)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 56.40/8.56  | | | | | | | | | | | |           all_6_12 = e0
% 56.40/8.56  | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | BETA: splitting (1917) gives:
% 56.40/8.56  | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | |   (1918)  all_6_12 = e4
% 56.40/8.56  | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | REF_CLOSE: (440), (517), (1918) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | |            #192.
% 56.40/8.56  | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | |   (1919)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 56.40/8.56  | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 56.40/8.56  | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | |   (1920)  all_6_12 = e2
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | COMBINE_EQS: (440), (1920) imply:
% 56.40/8.56  | | | | | | | | | | | | | |   (1921)  all_4_12 = e2
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | SIMP: (1921) implies:
% 56.40/8.56  | | | | | | | | | | | | | |   (1922)  all_4_12 = e2
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | REDUCE: (79), (1922) imply:
% 56.40/8.56  | | | | | | | | | | | | | |   (1923)   ~ (all_4_7 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | REDUCE: (60), (1922) imply:
% 56.40/8.56  | | | | | | | | | | | | | |   (1924)   ~ (all_4_13 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | SIMP: (1924) implies:
% 56.40/8.56  | | | | | | | | | | | | | |   (1925)   ~ (all_4_13 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | REDUCE: (59), (1922) imply:
% 56.40/8.56  | | | | | | | | | | | | | |   (1926)   ~ (all_4_14 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | SIMP: (1926) implies:
% 56.40/8.56  | | | | | | | | | | | | | |   (1927)   ~ (all_4_14 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | REDUCE: (58), (1922) imply:
% 56.40/8.56  | | | | | | | | | | | | | |   (1928)   ~ (all_4_17 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | SIMP: (1928) implies:
% 56.40/8.56  | | | | | | | | | | | | | |   (1929)   ~ (all_4_17 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | REDUCE: (57), (1922) imply:
% 56.40/8.56  | | | | | | | | | | | | | |   (1930)   ~ (all_4_22 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | SIMP: (1930) implies:
% 56.40/8.56  | | | | | | | | | | | | | |   (1931)   ~ (all_4_22 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | BETA: splitting (183) gives:
% 56.40/8.56  | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | |   (1932)  all_6_14 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | REF_CLOSE: (454), (512), (1932) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | |            #190.
% 56.40/8.56  | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | |   (1933)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | |           all_6_14 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | BETA: splitting (1933) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | |   (1934)  all_6_14 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1911), (1934) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | |            sub-proof #189.
% 56.40/8.56  | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | |   (1935)  all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | BETA: splitting (1935) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | |   (1936)  all_6_14 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1931), (1936) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | | |            sub-proof #188.
% 56.40/8.56  | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | |   (1937)  all_6_14 = e3 | all_6_14 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | BETA: splitting (1937) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1938)  all_6_14 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (482), (1938) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | | | | |            #187.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1939)  all_6_14 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1939) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1940)  all_4_22 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | SIMP: (1940) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1941)  all_4_22 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | REDUCE: (32), (1941) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1942)   ~ (all_4_21 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | REDUCE: (28), (1941) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1943)   ~ (all_4_24 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | REDUCE: (482), (1941) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | |   (1944)   ~ (e3 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | |   (1945)  all_8_2 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (385), (1903), (1945) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | | | | |            sub-proof #183.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | |   (1946)  all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | |           all_8_17 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | |   (1947)  all_8_3 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (1524), (1947) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | |            sub-proof #125.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | |   (1948)  all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1949)  all_8_5 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (1949) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1950)  all_4_11 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | SIMP: (1950) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1951)  all_4_11 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (1951) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1952)  all_10_6 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1951) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1953)   ~ (all_4_13 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1951) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1954)   ~ (all_4_14 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | SIMP: (1954) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1955)   ~ (all_4_14 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1951) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1956)   ~ (all_4_16 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1951) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1957)   ~ (all_4_21 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | REDUCE: (487), (1951) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | |   (1958)   ~ (e1 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | |   (1959)   ~ (all_10_9 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (1959) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | |   (1960)   ~ (all_4_6 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | |   (1961)   ~ (all_10_24 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (1961) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | |   (1962)   ~ (all_4_24 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | |   (1963)  all_6_6 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1520), (1963) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)  all_6_24 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1965) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)  all_4_24 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (1966) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1967) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_24 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  all_6_24 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1969) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)  all_4_24 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1522), (1970) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1971) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1972) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1973)  all_6_24 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1973) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1974)  all_4_24 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1962), (1974) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1975)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1975) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1976)  all_6_24 = e3 | all_6_24 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1977)  all_6_24 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1977) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1978)  all_4_24 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (1978) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1979)  all_10_24 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1978) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1980)   ~ (all_4_14 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1978) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1981)   ~ (all_4_19 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (1978) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1982)   ~ (all_4_21 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1983)   ~ (all_10_24 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1979), (1983) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1984)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1984) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1985)  all_10_21 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (1985) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1986)  all_4_9 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1986) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1987)  all_4_9 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (1987) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1988)  all_8_21 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1987) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1989)   ~ (all_4_4 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1987) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1990)   ~ (all_4_7 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1991)  all_6_9 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (511), (1991) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #25.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1992)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1992) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1993)  all_6_9 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (1909), (1993) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #24.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1994)  all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1964) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1995)  all_6_6 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (521), (1995) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #42.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1996)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1996) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1997)  all_6_6 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1960), (1997) are inconsistent by
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1998)  all_6_6 = e3 | all_6_6 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1994) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1999)  all_6_9 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (1999) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2000)  all_4_21 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2000) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2001)  all_4_21 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (2001) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2002)   ~ (all_4_1 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (2001) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2003)   ~ (all_4_16 = e2)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2004)  all_6_22 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (491), (2004) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #97.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2005)   ~ (all_6_22 = e1)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2006)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2006) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2007)  all_6_22 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2007) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2008)  all_4_14 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2008) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2009)  all_4_14 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (2009) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2010)  all_10_22 = e4
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (2009) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2011)   ~ (all_4_4 = e4)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (2009) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2012)   ~ (all_4_13 = e4)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (2009) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2013)   ~ (all_4_19 = e4)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2013) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2014)   ~ (all_4_19 = e4)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1955), (2009) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2015)   ~ (e4 = e0)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2016)  all_6_17 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (509), (2016) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2017)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2018)  all_8_1 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (484), (2018) are inconsistent by sub-proof
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #63.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2019)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e1
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1998) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2020)  all_6_6 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2020) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2021)  all_4_6 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2021) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2022)  all_4_6 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2022) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2023)  all_8_3 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2022) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2024)   ~ (all_4_16 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2024) implies:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2025)   ~ (all_4_16 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2026)  all_8_9 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2026) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2027)  all_4_15 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (2027) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2028)  all_10_2 = e3
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (2027) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2029)   ~ (all_4_19 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1907), (2027) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2030)   ~ (e4 = e3)
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2031)  all_8_9 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2026), (2031) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2032)  e3 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2032) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2033)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2033) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2034)  all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_23 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2034) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2035)  all_8_10 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2035) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2036)  all_4_16 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2003), (2036) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2037)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2037) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2038)  all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  all_8_0 = e2
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1901), (2039) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2040)  e2 = e0
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2040) imply:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)  $false
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2041) is inconsistent.
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.56  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)   ~ (all_8_0 = e2)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1901), (2042) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)   ~ (e2 = e0)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2017) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  all_6_17 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (2012), (2045) are inconsistent by
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #77.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2046)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2046) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2047)  all_6_17 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2047) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2048)  all_4_13 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2048) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2049)  all_4_13 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1925), (2049) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2050)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2050) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2051)  all_6_17 = e3 | all_6_17 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2019) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2052)  all_8_3 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2023), (2052) are inconsistent by sub-proof
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #35.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2053)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2054)  all_8_11 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2054) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2055)  all_4_17 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1929), (2055) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2056)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2056) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2057)  all_8_15 = e2 | all_8_23 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2057) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2058)  all_8_15 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (2058) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2059)  e2 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2059) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2060)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2060) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2061)  all_8_23 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (2061) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2062)  all_4_19 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2062) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2063)  all_4_19 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (302), (2063) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2064)  all_10_23 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (2063) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2065)   ~ (all_4_4 = e2)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2014), (2063) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2066)   ~ (e4 = e2)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1981), (2063) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2067)   ~ (e3 = e2)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2068)  all_8_0 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1901), (2068) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2069)  e2 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2069) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2070)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2070) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2071)  all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2072)  all_8_2 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2072) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2073)  all_4_1 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2073) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2074)  all_4_1 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2002), (2074) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2075)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2075) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2076)   ~ (all_8_2 = e2)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2077)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2078)  all_6_5 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2078) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2079)  all_4_1 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2079) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2080)  all_4_1 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2080) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2081)  all_8_2 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (19), (20), (21), (251), (257), (385),
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (395), (405), (415), (483), (1903), (1989),
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2011), (2015), (2065), (2077), (2081) are
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #22.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2082)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2083)  all_8_7 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2083) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2084)  all_4_7 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2084) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2085)  all_10_11 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2084) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2086)   ~ (all_4_17 = e1)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2086) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2087)   ~ (all_4_17 = e1)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (2084) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2088)   ~ (e3 = e1)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1923), (2084) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2089)   ~ (e2 = e1)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2090)  all_6_13 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2087), (2090) are inconsistent by
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #165.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2091)   ~ (all_6_13 = e1)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2092)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2082) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2093)  all_6_5 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2093) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2094)  all_4_1 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2094) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2095)  all_4_1 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2095) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2096)  all_8_2 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (2095) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2097)   ~ (all_4_3 = e4)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2097) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2098)   ~ (all_4_3 = e4)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2095) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2099)  op(e3, e4) = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2100)  all_8_12 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (2100) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2101)  all_4_3 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2098), (2101) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2102)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2102) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2103)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2092) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2104)  all_6_13 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2104) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2105)  all_4_17 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2105) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2106)  all_4_17 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (2106) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2107)  all_10_12 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2108)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e4))) & ( ~ (all_10_7 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2108) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2109)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2109) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2110)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (342), (2107), (2110) are inconsistent by
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #160.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2111)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2112)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit =
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2112) gives:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2113)   ~ (all_10_2 = e3)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2028), (2113) imply:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2114)  $false
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2114) is inconsistent.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2115)  all_10_0 = e1 &  ~ (unit = e3)
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (484), (2115) are inconsistent by sub-proof
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #21.
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.57  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2116)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2116) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2117)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2117) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2118)   ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2077) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2119)  all_8_6 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2119) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2120)  e3 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2120) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2121)  $false
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2121) is inconsistent.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2122)  all_8_12 = e2 | all_8_20 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2123)   ~ (all_10_23 = e2)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2064), (2123) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2124)  $false
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2124) is inconsistent.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2125)  all_10_22 = e1 &  ~ (unit = e2)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2126)  all_10_22 = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2010), (2126) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2127)  e4 = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2127) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2128)  e4 = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2096), (2128) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2129)  all_8_2 = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (20), (21), (251), (257), (385),
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (395), (405), (415), (483), (1903), (1989),
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2011), (2015), (2065), (2122), (2129) are
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #23.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2130)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2131)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0 &  ~ (unit = e1)))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2131) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2132)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2085), (2107), (2132) are inconsistent by
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2133)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2133) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2134)   ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2135)   ~ (all_10_4 = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1895), (2135) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2136)  $false
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2136) is inconsistent.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2137)  all_10_3 = e4 &  ~ (unit = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2137) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2138)   ~ (unit = e0)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2103) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2139)  all_8_13 = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2139) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2140)  all_4_8 = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2140) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2141)  op(e1, e3) = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2043) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2142)  all_8_1 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2142) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2143)  all_4_5 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2143) implies:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2144)  all_4_5 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2144) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2145)  op(e4, e3) = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2146)  unit = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (2146) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2147)  op(e1, e1) = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (2147), (function-axioms) are
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2148)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2149)  unit = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2149) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2150)  op(e4, e2) = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2149) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2151)  op(e4, e4) = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2149) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2152)  op(e3, e4) = e3
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2149) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2153)  op(e2, e4) = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (24), (515), (1913), (2099), (2150), (2151),
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2152), (2153), (function-axioms) are inconsistent
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #89.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2154)  unit = e3 | unit = e2 | unit = e0
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2154) gives:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2155)  unit = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2155) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2156)  op(e2, e4) = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2155) imply:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2157)  op(e4, e2) = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (23), (24), (2156), (2157),
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #27.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)  unit = e3 | unit = e0
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (15), (2138), (2141), (2145), (2158),
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #105.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)  all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (18), (20), (466), (1900), (2026), (2159)
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #71.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (409), (449), (465), (494), (506),
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2015), (2051), (2160) are inconsistent by
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #74.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (1929), (2161) are
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (470), (1903), (2002), (2162) are
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #102.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  all_8_13 = e1 | all_8_21 = e1
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (508), (515), (1988), (2163) are
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #20.
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.58  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)   ~ (all_8_9 = e3)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (44), (46), (48), (50), (51), (176), (184),
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (188), (193), (379), (441), (442), (444), (459),
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (480), (493), (495), (496), (497), (499), (1907),
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1981), (2014), (2025), (2164) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #16.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  all_6_6 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1524), (2165) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (1927), (1955), (1980), (2166) are
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #143.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)  all_6_9 = e3 | all_6_9 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (1942), (1982), (2167) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2168)  all_6_24 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2168) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2169)  all_4_24 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1518), (2169) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2170)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2170) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2171)  all_10_22 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (2171) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2172)  all_4_14 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2172) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2173)  all_4_14 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1955), (2173) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2174)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2174) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2175)  all_10_6 = e3
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1952), (2175) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2176)  e3 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2176) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2177)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2177) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | |   (2178)  all_8_10 = e0 | all_8_17 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2178) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2179)  all_8_10 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2179) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2180)  all_4_16 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2180) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2181)  all_4_16 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (496), (2181) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2182)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2182) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2183)  all_8_17 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2183) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2184)  all_4_21 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2184) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2185)  all_4_21 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1942), (2185) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2186)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2186) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | |   (2187)  all_6_12 = e3 | all_6_12 = e0
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | REF_CLOSE: (440), (478), (1915), (2187) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | | |            sub-proof #174.
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | End of split
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | |   (2188)  all_10_14 = e0
% 56.40/8.59  | | | | | | | | | | |   (2189)  all_10_13 = e2
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | COMBINE_EQS: (329), (2189) imply:
% 56.40/8.59  | | | | | | | | | | |   (2190)  all_4_22 = e2
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | SIMP: (2190) implies:
% 56.40/8.59  | | | | | | | | | | |   (2191)  all_4_22 = e2
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | COMBINE_EQS: (335), (2188) imply:
% 56.40/8.59  | | | | | | | | | | |   (2192)  all_4_12 = e0
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | SIMP: (2192) implies:
% 56.40/8.59  | | | | | | | | | | |   (2193)  all_4_12 = e0
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | REDUCE: (58), (2193) imply:
% 56.40/8.59  | | | | | | | | | | |   (2194)   ~ (all_4_17 = e0)
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | REDUCE: (489), (2193) imply:
% 56.40/8.59  | | | | | | | | | | |   (2195)   ~ (e1 = e0)
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | REDUCE: (40), (2191) imply:
% 56.40/8.59  | | | | | | | | | | |   (2196)   ~ (all_4_17 = e2)
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | REDUCE: (28), (2191) imply:
% 56.40/8.59  | | | | | | | | | | |   (2197)   ~ (all_4_24 = e2)
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | SIMP: (2197) implies:
% 56.40/8.59  | | | | | | | | | | |   (2198)   ~ (all_4_24 = e2)
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | REDUCE: (137), (2193) imply:
% 56.40/8.59  | | | | | | | | | | |   (2199)  op(e2, e2) = e0
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | BETA: splitting (175) gives:
% 56.40/8.59  | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | |   (2200)  all_6_24 = e1
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | REF_CLOSE: (460), (514), (2200) are inconsistent by sub-proof
% 56.40/8.59  | | | | | | | | | | | |            #40.
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | |   (2201)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 56.40/8.59  | | | | | | | | | | | |           all_6_24 = e0
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | BETA: splitting (2201) gives:
% 56.40/8.59  | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | |   (2202)  all_6_24 = e4
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | REF_CLOSE: (460), (1522), (2202) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | |            sub-proof #39.
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | |   (2203)   ~ (all_6_24 = e4)
% 56.40/8.59  | | | | | | | | | | | | |   (2204)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | BETA: splitting (2204) gives:
% 56.40/8.59  | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | |   (2205)  all_6_24 = e2
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | COMBINE_EQS: (460), (2205) imply:
% 56.40/8.59  | | | | | | | | | | | | | |   (2206)  all_4_24 = e2
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | SIMP: (2206) implies:
% 56.40/8.59  | | | | | | | | | | | | | |   (2207)  all_4_24 = e2
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | REDUCE: (2198), (2207) imply:
% 56.40/8.59  | | | | | | | | | | | | | |   (2208)  $false
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | CLOSE: (2208) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | |   (2209)  all_6_24 = e3 | all_6_24 = e0
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | BETA: splitting (2209) gives:
% 56.40/8.59  | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | |   (2210)  all_6_24 = e3
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2210) imply:
% 56.40/8.59  | | | | | | | | | | | | | | |   (2211)  all_4_24 = e3
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | SIMP: (2211) implies:
% 56.40/8.59  | | | | | | | | | | | | | | |   (2212)  all_4_24 = e3
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | COMBINE_EQS: (299), (2212) imply:
% 56.40/8.59  | | | | | | | | | | | | | | |   (2213)  all_10_24 = e3
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | REDUCE: (70), (2212) imply:
% 56.40/8.59  | | | | | | | | | | | | | | |   (2214)   ~ (all_4_9 = e3)
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | REDUCE: (37), (2212) imply:
% 56.40/8.59  | | | | | | | | | | | | | | |   (2215)   ~ (all_4_19 = e3)
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | REDUCE: (1522), (2212) imply:
% 56.40/8.59  | | | | | | | | | | | | | | |   (2216)   ~ (e4 = e3)
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2217)   ~ (all_10_24 = e3)
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | REDUCE: (2213), (2217) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2218)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | CLOSE: (2218) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2219)  all_10_21 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (2219) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2220)  all_4_9 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | SIMP: (2220) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2221)  all_4_9 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2221) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2222)  all_8_21 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | REDUCE: (91), (2221) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2223)   ~ (all_4_5 = e0)
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | REDUCE: (2214), (2221) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | |   (2224)   ~ (e3 = e0)
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | |   (2225)  all_8_1 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (484), (2225) are inconsistent by sub-proof
% 56.40/8.59  | | | | | | | | | | | | | | | | |            #63.
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | |   (2226)  all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 56.40/8.59  | | | | | | | | | | | | | | | | |           all_8_21 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | |   (2227)  all_8_3 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (1520), (2227) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | | | | | | |            sub-proof #169.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | |   (2228)  all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | |   (2229)  all_8_7 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2229) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | |   (2230)  all_4_7 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2230) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | |   (2231)  all_10_11 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | REDUCE: (476), (2230) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | |   (2232)   ~ (e3 = e1)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | |   (2233)  all_8_6 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (395), (2233) are inconsistent by sub-proof
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | |            #47.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | |   (2234)  all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | |           all_8_18 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2234) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | |   (2235)  all_8_7 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2229), (2235) are inconsistent by sub-proof
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | |            #62.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | |   (2236)   ~ (all_8_7 = e4)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | |   (2237)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2229), (2236) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | |   (2238)   ~ (e4 = e1)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2239)  all_8_1 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (1906), (2239) are inconsistent by
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |   (2240)  all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2240) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2241)  all_8_3 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2241) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2242)  all_4_6 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2242) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2243)  all_4_6 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (2243) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2244)  $false
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2244) is inconsistent.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | |   (2245)  all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2246)  all_6_13 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2246) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2247)  all_4_17 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2247) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2248)  all_4_17 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2248) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2249)  all_8_11 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (400), (403), (517), (1911), (2237), (2249)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #12.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2250)   ~ (all_6_13 = e1)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2251)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (2250) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | |   (2252)   ~ (all_4_17 = e1)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2251) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2253)  all_6_13 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2253) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2254)  all_4_17 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2254) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2255)  all_4_17 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2255) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2256)  all_8_11 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (2255) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2257)  all_10_12 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (2255) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2258)   ~ (all_4_19 = e4)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2258) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2259)   ~ (all_4_19 = e4)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (2255) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | |   (2260)   ~ (e4 = e0)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2245) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2261)  all_8_7 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2229), (2261) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2262)  e4 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2262) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2263)  e4 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2256), (2263) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2264)  all_8_11 = e1
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (400), (403), (517), (1911), (2237), (2264)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #12.
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2265)  all_8_13 = e4 | all_8_21 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2265) gives:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2266)  all_8_13 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2266) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2267)  all_4_8 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2267) implies:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2268)  all_4_8 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (2268) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2269)  all_10_16 = e4
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2268) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2270)   ~ (all_4_3 = e4)
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2268) imply:
% 56.40/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2271)   ~ (all_4_13 = e4)
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2271) implies:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2272)   ~ (all_4_13 = e4)
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2268) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2273)  op(e1, e3) = e4
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2274)  all_6_15 = e1
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2274) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2275)  all_4_3 = e1
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (507), (2275) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2276)  $false
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2276) is inconsistent.
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2277)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2277) gives:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2278)  all_6_15 = e4
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2278) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2279)  all_4_3 = e4
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2270), (2279) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2280)  $false
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2280) is inconsistent.
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2281)   ~ (all_6_15 = e4)
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2282)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2283)  all_8_12 = e3
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (2283) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2284)  all_4_3 = e3
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (472), (2284) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2285)  $false
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2285) is inconsistent.
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2286)   ~ (all_8_12 = e3)
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2287)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2288)  all_6_15 = e2
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2288) imply:
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2289)  all_4_3 = e2
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.59  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (2289) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2290)  all_10_15 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2270), (2289) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2291)   ~ (e4 = e2)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2292)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e4))) & ( ~ (all_10_7 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2293)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2293) implies:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2294)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (342), (2257), (2294) are inconsistent by
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #160.
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2295)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2295) implies:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2296)   ~ (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2287) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2297)  all_8_13 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2266), (2297) are inconsistent by sub-proof
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #158.
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2298)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2298) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2299)  all_8_14 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2299) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2300)  all_4_13 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2300) implies:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2301)  all_4_13 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (2301) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2302)  all_10_17 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2296) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2303)   ~ (all_10_17 = e3)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2302), (2303) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2304)  $false
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2304) is inconsistent.
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2305)  all_10_16 = e2 &  ~ (unit = e3)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2305) implies:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2306)  all_10_16 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2269), (2306) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2307)  e4 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2307) imply:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2308)  $false
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2308) is inconsistent.
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2309)  all_8_15 = e3 | all_8_19 = e3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (465), (506), (2309) are inconsistent
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #156.
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2310)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2310) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2311)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (320), (409), (465), (506),
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2266), (2272), (2287), (2290), (2311) are
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #155.
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2312)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2312) gives:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2313)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 56.61/8.60  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0 &  ~ (unit = e1)))
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2313) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2314)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2231), (2257), (2314) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2315)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2315) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2316)   ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2316) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2317)   ~ (all_10_4 = e0)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1895), (2317) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2318)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2318) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2319)  all_10_3 = e4 &  ~ (unit = e0)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2319) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2320)   ~ (unit = e0)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2287) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2321)  all_8_13 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2266), (2321) are inconsistent by sub-proof
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #158.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2322)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2322) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2323)  all_8_14 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2323) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2324)  all_4_13 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2324) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2325)  all_4_13 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2325) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2326)   ~ (all_4_11 = e3)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2327)   ~ (all_10_9 = e2)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (2327) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2328)   ~ (all_4_6 = e2)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2329)  all_6_6 = e1
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1520), (2329) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2330)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2330) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2331)  all_6_6 = e4
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (521), (2331) are inconsistent by sub-proof
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #42.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2332)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2332) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2333)  all_6_6 = e2
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (2328), (2333) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2334)  all_6_6 = e3 | all_6_6 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2334) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2335)  all_6_6 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2335) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2336)  all_4_6 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2336) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2337)  all_4_6 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2337) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2338)   ~ (all_4_16 = e3)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2338) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2339)   ~ (all_4_16 = e3)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2340)  all_6_1 = e1
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (2340) are inconsistent by sub-proof
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2341)   ~ (all_6_1 = e1)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2342)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2343)  all_8_9 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2343) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2344)  all_4_15 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (2344) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2345)   ~ (all_4_5 = e3)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2344) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2346)  op(e4, e1) = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2347)  all_8_1 = e2
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2347) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2348)  all_4_5 = e2
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2348) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2349)  all_4_5 = e2
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2349) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2350)  op(e4, e3) = e2
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (9), (11), (15), (22), (2199),
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2273), (2320), (2346), (2350), (function-axioms)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #33.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2351)   ~ (all_8_1 = e2)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2351) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2352)   ~ (all_4_5 = e2)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (1906), (2223), (2342), (2345), (2352) are
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #11.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2353)   ~ (all_8_9 = e3)
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (44), (46), (48), (50), (51), (176), (184),
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (188), (193), (379), (441), (442), (444), (459),
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (480), (493), (495), (496), (497), (499), (1907),
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2215), (2259), (2339), (2353) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #16.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2354)  all_6_6 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1524), (2354) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2355)  all_10_6 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2355) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2356)  all_4_11 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2356) implies:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2357)  all_4_11 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2326), (2357) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2358)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2358) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2359)  all_8_15 = e3 | all_8_19 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (465), (506), (2359) are inconsistent
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #156.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2360)  all_6_15 = e3 | all_6_15 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (2360) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #107.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2361)  all_8_21 = e4
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2222), (2361) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2362)  e4 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2260), (2362) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2363)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2363) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (2364)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (2196), (2364) are
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | |   (2365)  all_8_13 = e1 | all_8_21 = e1
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (508), (515), (2222), (2365) are
% 56.61/8.61  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #20.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | |   (2366)  all_6_24 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | REF_CLOSE: (460), (1518), (2366) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | |            sub-proof #37.
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | End of split
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | |   (2367)  all_10_9 = e0
% 56.61/8.61  | | | | | | | | |   (2368)  all_10_8 = e3
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | COMBINE_EQS: (345), (2368) imply:
% 56.61/8.61  | | | | | | | | |   (2369)  all_4_21 = e3
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | COMBINE_EQS: (354), (2367) imply:
% 56.61/8.61  | | | | | | | | |   (2370)  all_4_6 = e0
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | SIMP: (2370) implies:
% 56.61/8.61  | | | | | | | | |   (2371)  all_4_6 = e0
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (113), (2371) imply:
% 56.61/8.61  | | | | | | | | |   (2372)   ~ (all_4_1 = e0)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (87), (2371) imply:
% 56.61/8.61  | | | | | | | | |   (2373)   ~ (all_4_7 = e0)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | SIMP: (2373) implies:
% 56.61/8.61  | | | | | | | | |   (2374)   ~ (all_4_7 = e0)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (86), (2371) imply:
% 56.61/8.61  | | | | | | | | |   (2375)   ~ (all_4_8 = e0)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (83), (2371) imply:
% 56.61/8.61  | | | | | | | | |   (2376)   ~ (all_4_16 = e0)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (82), (2369), (2371) imply:
% 56.61/8.61  | | | | | | | | |   (2377)   ~ (e3 = e0)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (61), (2369) imply:
% 56.61/8.61  | | | | | | | | |   (2378)   ~ (all_4_11 = e3)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (43), (2369) imply:
% 56.61/8.61  | | | | | | | | |   (2379)   ~ (all_4_16 = e3)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (36), (2369) imply:
% 56.61/8.61  | | | | | | | | |   (2380)   ~ (all_4_20 = e3)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | REDUCE: (30), (2369) imply:
% 56.61/8.61  | | | | | | | | |   (2381)   ~ (all_4_24 = e3)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | SIMP: (2381) implies:
% 56.61/8.61  | | | | | | | | |   (2382)   ~ (all_4_24 = e3)
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | BETA: splitting (175) gives:
% 56.61/8.61  | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | |   (2383)  all_6_24 = e1
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | REF_CLOSE: (460), (514), (2383) are inconsistent by sub-proof
% 56.61/8.61  | | | | | | | | | |            #40.
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | |   (2384)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 56.61/8.61  | | | | | | | | | |           all_6_24 = e0
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | BETA: splitting (2384) gives:
% 56.61/8.61  | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | |   (2385)  all_6_24 = e4
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | REF_CLOSE: (460), (1522), (2385) are inconsistent by
% 56.61/8.61  | | | | | | | | | | |            sub-proof #39.
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | |   (2386)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | BETA: splitting (2386) gives:
% 56.61/8.61  | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | |   (2387)  all_6_24 = e2
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | COMBINE_EQS: (460), (2387) imply:
% 56.61/8.61  | | | | | | | | | | | |   (2388)  all_4_24 = e2
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | SIMP: (2388) implies:
% 56.61/8.61  | | | | | | | | | | | |   (2389)  all_4_24 = e2
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | COMBINE_EQS: (299), (2389) imply:
% 56.61/8.61  | | | | | | | | | | | |   (2390)  all_10_24 = e2
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | REDUCE: (95), (2389) imply:
% 56.61/8.61  | | | | | | | | | | | |   (2391)   ~ (all_4_4 = e2)
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | REDUCE: (70), (2389) imply:
% 56.61/8.61  | | | | | | | | | | | |   (2392)   ~ (all_4_9 = e2)
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | REDUCE: (33), (2389) imply:
% 56.61/8.61  | | | | | | | | | | | |   (2393)   ~ (all_4_20 = e2)
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | BETA: splitting (285) gives:
% 56.61/8.61  | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | |   (2394)   ~ (all_10_24 = e2)
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | REDUCE: (2390), (2394) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2395)  $false
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | CLOSE: (2395) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | |   (2396)  all_10_22 = e0
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | COMBINE_EQS: (305), (2396) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2397)  all_4_14 = e0
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | SIMP: (2397) implies:
% 56.61/8.61  | | | | | | | | | | | | |   (2398)  all_4_14 = e0
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | COMBINE_EQS: (419), (2398) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2399)  all_8_22 = e0
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | REDUCE: (97), (2398) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2400)   ~ (all_4_4 = e0)
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | REDUCE: (72), (2398) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2401)   ~ (all_4_9 = e0)
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | REDUCE: (63), (2398) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2402)   ~ (all_4_11 = e0)
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | REDUCE: (59), (2398) imply:
% 56.61/8.61  | | | | | | | | | | | | |   (2403)   ~ (all_4_12 = e0)
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | BETA: splitting (185) gives:
% 56.61/8.61  | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | |   (2404)  all_6_12 = e1
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | REF_CLOSE: (440), (489), (2404) are inconsistent by sub-proof
% 56.61/8.61  | | | | | | | | | | | | | |            #193.
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | |   (2405)   ~ (all_6_12 = e1)
% 56.61/8.61  | | | | | | | | | | | | | |   (2406)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 56.61/8.61  | | | | | | | | | | | | | |           all_6_12 = e0
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | BETA: splitting (2406) gives:
% 56.61/8.61  | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | |   (2407)  all_6_12 = e4
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | REF_CLOSE: (440), (517), (2407) are inconsistent by sub-proof
% 56.61/8.61  | | | | | | | | | | | | | | |            #192.
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | |   (2408)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | |   (2409)  all_8_4 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (2409) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | |   (2410)  e3 = e1
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | REDUCE: (17), (2410) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | |   (2411)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | CLOSE: (2411) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | |   (2412)  all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 |
% 56.61/8.61  | | | | | | | | | | | | | | | |           all_8_22 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | BETA: splitting (2412) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | |   (2413)  all_8_5 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | REF_CLOSE: (387), (2378), (2413) are inconsistent by
% 56.61/8.61  | | | | | | | | | | | | | | | | |            sub-proof #59.
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | |   (2414)  all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | |   (2415)  all_8_6 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2415) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | |   (2416)  e3 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | REDUCE: (16), (2416) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | |   (2417)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | CLOSE: (2417) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | |   (2418)  all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 56.61/8.61  | | | | | | | | | | | | | | | | | |           all_8_18 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | BETA: splitting (2418) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | |   (2419)  all_8_7 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2419) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | |   (2420)  all_4_7 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | REDUCE: (2374), (2420) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | |   (2421)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | CLOSE: (2421) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | |   (2422)  all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | BETA: splitting (2422) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | |   (2423)  all_8_8 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2423) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | |   (2424)  all_4_12 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | REDUCE: (2403), (2424) imply:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | |   (2425)  $false
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | CLOSE: (2425) is inconsistent.
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | |   (2426)  all_8_11 = e0 | all_8_18 = e0
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2414) gives:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | |   (2427)  all_8_8 = e3
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.61  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2427) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | |   (2428)  all_4_12 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | REDUCE: (478), (2428) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | |   (2429)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2429) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | |   (2430)   ~ (all_8_8 = e3)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | |   (2431)  all_8_14 = e3 | all_8_22 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2426) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2432)  all_8_11 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2432) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2433)  all_4_17 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (2433) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2434)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2434) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2435)  all_8_18 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2435) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2436)  all_4_22 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2436) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2437)  all_4_22 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2437) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | |   (2438)   ~ (all_4_20 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2408) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2439)  all_6_12 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2439) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2440)  all_4_12 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (2440) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2441)   ~ (all_4_7 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (2440) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2442)   ~ (all_4_11 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (2440) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2443)   ~ (all_4_13 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2443) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2444)   ~ (all_4_13 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (2440) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2445)   ~ (all_4_17 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2445) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | |   (2446)   ~ (all_4_17 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2431) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | |   (2447)  all_8_14 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2447) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | |   (2448)  all_4_13 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | |   (2449)  all_4_13 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (320), (2449) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | |   (2450)  all_10_17 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2449) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | |   (2451)   ~ (all_4_8 = e3)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)  all_6_7 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (487), (2452) are inconsistent by sub-proof
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | |            #118.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)  all_6_4 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (510), (2454) are inconsistent by sub-proof
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | |            #172.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)   ~ (all_6_4 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  all_8_16 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2457) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  all_4_20 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2458) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)  all_4_20 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (2459) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)   ~ (all_4_0 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (2459) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)   ~ (all_4_5 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2459) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)   ~ (all_4_15 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2463)  all_8_4 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (2463) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2464)  e4 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2464) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2465)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2465) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2466)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2466) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2467)  all_8_5 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (2467) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2468)  all_4_11 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2468) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2469)  all_4_11 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (2469) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2470)   ~ (all_4_1 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2469) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2471)   ~ (all_4_16 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2471) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2472)   ~ (all_4_16 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2469) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2473)  op(e3, e2) = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2474)  all_8_0 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (2474) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2475)  all_4_0 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2475) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2476)  all_4_0 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2477)  all_10_4 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2478)   ~ (all_4_1 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2479)   ~ (all_4_3 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2480)   ~ (all_4_4 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2481)   ~ (all_4_5 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2481) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2482)   ~ (all_4_5 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2483)   ~ (all_4_15 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2460), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2484)   ~ (e4 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2485)   ~ (e4 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2486)   ~ (e2 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (469), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2487)   ~ (e1 = e0)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2476) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2488)  op(e4, e4) = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  all_6_15 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2489) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2490)  all_4_3 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (507), (2490) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2491)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2491) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2492)   ~ (all_6_15 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2493)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2494)  all_6_5 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2494) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2495)  all_4_1 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2495) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2496)  all_4_1 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2496) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2497)  all_8_2 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2496) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2498)   ~ (all_4_4 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2498) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2499)   ~ (all_4_4 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2496) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2500)   ~ (all_4_16 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2500) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2501)   ~ (all_4_16 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2470), (2496) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2502)   ~ (e4 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2503)  all_6_8 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (2501), (2503) are inconsistent by
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #19.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2504)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2505)  all_8_0 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2474), (2505) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2506)  e2 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2506) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2507)  e2 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2507) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2508)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2508) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2509)  all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2510)  all_6_20 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2510) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2511)  all_4_4 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2499), (2511) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2512)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2512) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2513)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2514)  all_6_20 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2514) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2515)  all_4_4 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (103), (2515) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2516)   ~ (all_4_3 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2517)  all_8_9 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (379), (2462), (2517) are inconsistent by
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #10.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2518)   ~ (all_8_9 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2519)  all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_23 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2519) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2520)  all_8_10 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2520) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2521)  all_4_16 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2521) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2522)  all_4_16 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2472), (2522) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2523)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2523) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2524)   ~ (all_8_10 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2525)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2504) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2526)  all_6_8 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (2472), (2526) are inconsistent by
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #68.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2527)   ~ (all_6_8 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2528)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2493) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2529)  all_6_15 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (2516), (2529) are inconsistent by
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #164.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2530)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2531)  all_6_15 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2531) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2532)  all_4_3 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2532) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2533)  all_4_3 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (2533) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2534)  all_10_15 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2533) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2535)   ~ (all_4_8 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2535) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2536)   ~ (all_4_8 = e2)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2537)  all_6_16 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2537) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2538)  all_4_8 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (2538) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2539)  $false
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2539) is inconsistent.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2540)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2540) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2541)  all_6_16 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2541) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2542)  all_4_8 = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2542) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2543)   ~ (all_4_7 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2542) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  op(e1, e3) = e4
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2545)  all_6_11 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2545) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2546)  all_4_7 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2546) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  all_4_7 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2547) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  all_10_11 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2547) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)   ~ (all_4_17 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2549) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)   ~ (all_4_17 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (2547) imply:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)   ~ (e3 = e1)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e4))) & ( ~ (all_10_7 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2553) implies:
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (184), (332), (342), (444), (480), (497),
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2446), (2550), (2554) are inconsistent by
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #34.
% 56.61/8.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2555) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (193), (363), (370), (441), (442), (484),
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (495), (496), (2379), (2462), (2528),
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2556) are inconsistent by sub-proof #8.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2557)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2557) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2558)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2558) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2559)   ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2450), (2534), (2559) are inconsistent by
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #157.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2560)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2560) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2561)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0 &  ~ (unit = e1)))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2561) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2562)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2563)  all_6_13 = e1
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2550), (2563) are inconsistent by
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #165.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2564)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2525) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2565)  all_8_11 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (2565) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2566)  all_4_17 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2566) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2567)  all_4_17 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (2567) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2568)  all_10_12 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (2548), (2562), (2568) are inconsistent by
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2569)   ~ (all_8_11 = e4)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (399), (2569) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2570)   ~ (all_4_17 = e4)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2564) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2571)  all_6_13 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2571) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2572)  all_4_17 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2572) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2573)  all_4_17 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2570), (2573) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2574)  $false
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2574) is inconsistent.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2575)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (2446), (2575) are
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2576)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2576) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)   ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)  all_8_1 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2578) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  all_4_5 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2579) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)  all_4_5 = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2580) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  op(e4, e3) = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2577) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)   ~ (all_10_4 = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2477), (2582) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  $false
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2583) is inconsistent.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)  all_10_3 = e4 &  ~ (unit = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2584) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2585)   ~ (unit = e0)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2586)  all_8_9 = e3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2586) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2587)  all_4_15 = e3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2588)  all_4_15 = e3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (2588) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2589)  op(e4, e1) = e3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2590)  unit = e1
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (2590) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2591)  op(e1, e1) = e1
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (2591), (function-axioms) are
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2592)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2592) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2593)  unit = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (15), (2581), (2589), (2593),
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2594)  unit = e3 | unit = e2 | unit = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2594) gives:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2595)  unit = e2
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2595) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2596)  op(e4, e2) = e4
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2595) imply:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2597)  op(e3, e2) = e3
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (24), (2473), (2596), (2597),
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #7.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2598)  unit = e3 | unit = e0
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (15), (2544), (2581), (2585), (2598),
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #105.
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2599)   ~ (all_8_9 = e3)
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (2599) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2600)   ~ (all_4_15 = e3)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (193), (441), (442), (493), (495), (496),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2379), (2462), (2528), (2600) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #9.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2601)   ~ (all_8_1 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2601) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2602)   ~ (all_4_5 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2603)  all_6_1 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (2603) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2604)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (89), (193), (249), (375), (427), (441),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (442), (493), (495), (496), (2379), (2461),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2462), (2472), (2482), (2504), (2602), (2604) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #5.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2605)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (476), (2374), (2441), (2543), (2605) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #4.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2606)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (2451), (2536), (2606) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2607)  all_6_15 = e3 | all_6_15 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (2607) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #107.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2608)   ~ (all_6_20 = e4)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (2608) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2609)   ~ (all_4_4 = e4)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2509) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2610)  all_8_2 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2497), (2610) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2611)  e2 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2611) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2612)  e2 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2612) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2613)  $false
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2613) is inconsistent.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2614)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (18), (19), (20), (21), (251), (257), (385),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (395), (405), (415), (483), (2372), (2391),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2400), (2485), (2497), (2609), (2614) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #22.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2615)   ~ (all_6_5 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2616)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (429), (2615) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2617)   ~ (all_4_1 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2616) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2618)  all_6_5 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (2470), (2618) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #96.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2619)   ~ (all_6_5 = e4)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2620)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2621)  all_8_0 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (2474), (2621) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #117.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2622)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2622) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2623)  all_8_2 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2623) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2624)  all_4_1 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2617), (2624) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2625)  $false
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2625) is inconsistent.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2626)   ~ (all_8_2 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2627)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2620) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2628)  all_6_5 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (2628) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2629)  all_4_1 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2629) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2630)  all_4_1 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (2630) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2631)   ~ (all_4_3 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2631) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2632)   ~ (all_4_3 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2470), (2630) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2633)   ~ (e4 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2630) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2634)  op(e3, e4) = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2635)  all_8_9 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2635) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2636)  all_4_15 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2636) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2637)  all_4_15 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (2637) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2638)   ~ (all_4_5 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2639)  all_6_1 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (2639) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2640)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2640) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2641)  all_6_1 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (2461), (2641) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #116.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2642)   ~ (all_6_1 = e4)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2643)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2643) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2644)  all_6_1 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (2638), (2644) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #28.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2645)   ~ (all_6_1 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2646)  all_6_1 = e3 | all_6_1 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2647)  all_6_8 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (2647) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2648)  all_4_16 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2648) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2649)  all_4_16 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2649) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2650)   ~ (all_4_17 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2650) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2651)   ~ (all_4_17 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2652)  all_6_13 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2651), (2652) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #165.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2653)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2653) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2654)  all_6_13 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2654) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2655)  all_4_17 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2655) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2656)  all_4_17 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2656) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2657)   ~ (all_4_7 = e4)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2658)  all_6_11 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2658) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2659)  all_4_7 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2659) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2660)  all_4_7 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (2660) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2661)   ~ (e3 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (2660) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2662)  op(e2, e3) = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2493) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2663)  all_6_15 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2663) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2664)  all_4_3 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2664) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2665)  all_4_3 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2665) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2666)  op(e1, e4) = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2667)  all_6_20 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2667) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2668)  all_4_4 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2668) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2669)  all_4_4 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (2669) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2670)   ~ (all_4_9 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2670) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2671)   ~ (all_4_9 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (2669) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2672)  op(e0, e4) = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2646) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2673)  all_6_1 = e3
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (2673) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2674)  all_4_5 = e3
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2674) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2675)  all_4_5 = e3
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2675) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2676)   ~ (all_4_9 = e3)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2676) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2677)   ~ (all_4_9 = e3)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (2675) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2678)  op(e4, e3) = e3
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2679)  all_6_21 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (2671), (2679) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #162.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2680)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2681)  all_6_21 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2681) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2682)  all_4_9 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2682) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2683)  all_4_9 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (2683) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2684)  op(e0, e3) = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2685)  unit = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (2685) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2686)  op(e1, e1) = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (2686), (function-axioms) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2687)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2687) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2688)  unit = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (515), (2488), (2666), (2688),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #94.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2689)  unit = e3 | unit = e2 | unit = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2689) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2690)  unit = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2690) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2691)  op(e4, e2) = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2690) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2692)  op(e3, e2) = e3
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (24), (2473), (2691), (2692),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #7.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2693)  unit = e3 | unit = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (6), (9), (10), (17), (515), (2634),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2662), (2672), (2678), (2684), (2693),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #93.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2694)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (2392), (2401), (2677), (2694) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #135.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2695)  all_6_1 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (2482), (2695) are inconsistent by
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2696)   ~ (all_6_20 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (2696) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2697)   ~ (all_4_4 = e1)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (395), (405), (415), (507), (2627), (2697)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #82.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2698)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (2632), (2698) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #106.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2699)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (476), (2374), (2441), (2657), (2699) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #4.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2700)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (2446), (2700) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2701)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (89), (193), (249), (375), (427), (441),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (442), (493), (495), (496), (2379), (2461),
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2462), (2472), (2482), (2638), (2640), (2701) are
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #5.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2702)   ~ (all_8_9 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (2702) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2703)   ~ (all_4_15 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2704)  all_6_3 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (2704) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (255) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2706)  all_8_0 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2474), (2706) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  e2 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2707) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)  $false
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2708) is inconsistent.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_16 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2709) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  all_8_1 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2710) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  all_4_5 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2711) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)  all_4_5 = e2
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (2712) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)   ~ (all_4_8 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2713) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)   ~ (all_4_8 = e2)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)  all_6_16 = e1
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (508), (2715) are inconsistent by sub-proof
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #163.
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2716) gives:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)  all_6_16 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2717) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  all_4_8 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2718) implies:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  all_4_8 = e4
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2719) imply:
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)   ~ (all_4_3 = e4)
% 56.61/8.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (2493), (2632), (2720) are
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #87.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (2451), (2714), (2721) are
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)  all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2705) gives:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  all_6_3 = e4
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (2462), (2723) are inconsistent by
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #167.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (20), (379), (441), (466), (495), (2457),
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2703), (2722), (2724) are inconsistent by
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #69.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  all_6_5 = e3 | all_6_5 = e0
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (470), (2372), (2725) are inconsistent by
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #103.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_20 = e0
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (385), (395), (405), (415), (483), (2372),
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2400), (2726) are inconsistent by sub-proof #180.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)   ~ (all_8_5 = e4)
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (2727) imply:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)   ~ (all_4_11 = e4)
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (2378), (2402), (2442), (2453), (2728) are
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)   ~ (all_8_16 = e4)
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2729) imply:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)   ~ (all_4_20 = e4)
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (2380), (2393), (2438), (2456), (2730) are
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  all_8_22 = e3
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2399), (2731) imply:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  e3 = e0
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2732) imply:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2733)  $false
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2733) is inconsistent.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | |   (2734)  all_6_12 = e3 | all_6_12 = e0
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (478), (2403), (2734) are inconsistent by
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #174.
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | |   (2735)  all_6_24 = e3 | all_6_24 = e0
% 56.61/8.65  | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | | REF_CLOSE: (460), (1518), (2382), (2735) are inconsistent by
% 56.61/8.65  | | | | | | | | | | | |            sub-proof #36.
% 56.61/8.65  | | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | | 
% 56.61/8.65  | | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | | 
% 56.61/8.65  | | | | | | | | End of split
% 56.61/8.65  | | | | | | | | 
% 56.61/8.65  | | | | | | | Case 2:
% 56.61/8.65  | | | | | | | | 
% 56.61/8.65  | | | | | | | |   (2736)  all_10_24 = e4
% 56.61/8.65  | | | | | | | |   (2737)  all_10_20 = e0
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | COMBINE_EQS: (311), (2737) imply:
% 56.84/8.65  | | | | | | | |   (2738)  all_4_4 = e0
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | SIMP: (2738) implies:
% 56.84/8.65  | | | | | | | |   (2739)  all_4_4 = e0
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | COMBINE_EQS: (299), (2736) imply:
% 56.84/8.65  | | | | | | | |   (2740)  all_4_24 = e4
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | SIMP: (2740) implies:
% 56.84/8.65  | | | | | | | |   (2741)  all_4_24 = e4
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | COMBINE_EQS: (415), (2739) imply:
% 56.84/8.65  | | | | | | | |   (2742)  all_8_20 = e0
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (121), (2739) imply:
% 56.84/8.65  | | | | | | | |   (2743)   ~ (all_4_0 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (114), (2739) imply:
% 56.84/8.65  | | | | | | | |   (2744)   ~ (all_4_1 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (98), (2739) imply:
% 56.84/8.65  | | | | | | | |   (2745)   ~ (all_4_9 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | SIMP: (2745) implies:
% 56.84/8.65  | | | | | | | |   (2746)   ~ (all_4_9 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (97), (2739) imply:
% 56.84/8.65  | | | | | | | |   (2747)   ~ (all_4_14 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | SIMP: (2747) implies:
% 56.84/8.65  | | | | | | | |   (2748)   ~ (all_4_14 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (474), (2739) imply:
% 56.84/8.65  | | | | | | | |   (2749)   ~ (e3 = e0)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (70), (2741) imply:
% 56.84/8.65  | | | | | | | |   (2750)   ~ (all_4_9 = e4)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (52), (2741) imply:
% 56.84/8.65  | | | | | | | |   (2751)   ~ (all_4_14 = e4)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (30), (2741) imply:
% 56.84/8.65  | | | | | | | |   (2752)   ~ (all_4_21 = e4)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | REDUCE: (28), (2741) imply:
% 56.84/8.65  | | | | | | | |   (2753)   ~ (all_4_22 = e4)
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | BETA: splitting (253) gives:
% 56.84/8.65  | | | | | | | | 
% 56.84/8.65  | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | 
% 56.84/8.65  | | | | | | | | |   (2754)  all_8_0 = e1
% 56.84/8.65  | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | REF_CLOSE: (371), (469), (2754) are inconsistent by sub-proof
% 56.84/8.65  | | | | | | | | |            #49.
% 56.84/8.65  | | | | | | | | | 
% 56.84/8.65  | | | | | | | | Case 2:
% 56.84/8.65  | | | | | | | | | 
% 56.84/8.65  | | | | | | | | |   (2755)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 56.84/8.65  | | | | | | | | |           all_8_20 = e1
% 56.84/8.65  | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | BETA: splitting (2755) gives:
% 56.84/8.65  | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | |   (2756)  all_8_2 = e1
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | COMBINE_EQS: (385), (2756) imply:
% 56.84/8.65  | | | | | | | | | |   (2757)  all_4_1 = e1
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | SIMP: (2757) implies:
% 56.84/8.65  | | | | | | | | | |   (2758)  all_4_1 = e1
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | REDUCE: (113), (2758) imply:
% 56.84/8.65  | | | | | | | | | |   (2759)   ~ (all_4_6 = e1)
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | REDUCE: (111), (2758) imply:
% 56.84/8.65  | | | | | | | | | |   (2760)   ~ (all_4_16 = e1)
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | SIMP: (2760) implies:
% 56.84/8.65  | | | | | | | | | |   (2761)   ~ (all_4_16 = e1)
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | REDUCE: (110), (2758) imply:
% 56.84/8.65  | | | | | | | | | |   (2762)   ~ (all_4_21 = e1)
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | BETA: splitting (254) gives:
% 56.84/8.65  | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | |   (2763)  all_8_0 = e2
% 56.84/8.65  | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | REF_CLOSE: (371), (519), (2763) are inconsistent by sub-proof
% 56.84/8.65  | | | | | | | | | | |            #3.
% 56.84/8.65  | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | Case 2:
% 56.84/8.65  | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | |   (2764)   ~ (all_8_0 = e2)
% 56.84/8.65  | | | | | | | | | | |   (2765)  all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 56.84/8.65  | | | | | | | | | | |           all_8_20 = e2
% 56.84/8.65  | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | BETA: splitting (195) gives:
% 56.84/8.65  | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | |   (2766)  all_6_0 = e1
% 56.84/8.65  | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | REF_CLOSE: (425), (469), (2766) are inconsistent by sub-proof
% 56.84/8.65  | | | | | | | | | | | |            #185.
% 56.84/8.65  | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | Case 2:
% 56.84/8.65  | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | |   (2767)   ~ (all_6_0 = e1)
% 56.84/8.65  | | | | | | | | | | | |   (2768)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 56.84/8.65  | | | | | | | | | | | |           all_6_0 = e0
% 56.84/8.65  | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | BETA: splitting (2768) gives:
% 56.84/8.65  | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | |   (2769)  all_6_0 = e4
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | COMBINE_EQS: (425), (2769) imply:
% 56.84/8.65  | | | | | | | | | | | | |   (2770)  all_4_0 = e4
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | SIMP: (2770) implies:
% 56.84/8.65  | | | | | | | | | | | | |   (2771)  all_4_0 = e4
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | REDUCE: (120), (2771) imply:
% 56.84/8.65  | | | | | | | | | | | | |   (2772)   ~ (all_4_5 = e4)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | SIMP: (2772) implies:
% 56.84/8.65  | | | | | | | | | | | | |   (2773)   ~ (all_4_5 = e4)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | REDUCE: (118), (2771) imply:
% 56.84/8.65  | | | | | | | | | | | | |   (2774)   ~ (all_4_15 = e4)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | SIMP: (2774) implies:
% 56.84/8.65  | | | | | | | | | | | | |   (2775)   ~ (all_4_15 = e4)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | REDUCE: (117), (2771) imply:
% 56.84/8.65  | | | | | | | | | | | | |   (2776)   ~ (all_4_20 = e4)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | SIMP: (2776) implies:
% 56.84/8.65  | | | | | | | | | | | | |   (2777)   ~ (all_4_20 = e4)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | REDUCE: (2743), (2771) imply:
% 56.84/8.65  | | | | | | | | | | | | |   (2778)   ~ (e4 = e0)
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | BETA: splitting (2765) gives:
% 56.84/8.65  | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | |   (2779)  all_8_2 = e2
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | COMBINE_EQS: (2756), (2779) imply:
% 56.84/8.65  | | | | | | | | | | | | | |   (2780)  e2 = e1
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | REDUCE: (15), (2780) imply:
% 56.84/8.65  | | | | | | | | | | | | | |   (2781)  $false
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | CLOSE: (2781) is inconsistent.
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | Case 2:
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | |   (2782)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | BETA: splitting (2782) gives:
% 56.84/8.65  | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | |   (2783)  all_8_6 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2783) imply:
% 56.84/8.65  | | | | | | | | | | | | | | |   (2784)  e3 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | REDUCE: (18), (2784) imply:
% 56.84/8.65  | | | | | | | | | | | | | | |   (2785)  $false
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | CLOSE: (2785) is inconsistent.
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | Case 2:
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | |   (2786)  all_8_12 = e2 | all_8_20 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | BETA: splitting (2786) gives:
% 56.84/8.65  | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | Case 1:
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | |   (2787)  all_8_12 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (2787) imply:
% 56.84/8.65  | | | | | | | | | | | | | | | |   (2788)  all_4_3 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | | SIMP: (2788) implies:
% 56.84/8.65  | | | | | | | | | | | | | | | |   (2789)  all_4_3 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (2789) imply:
% 56.84/8.65  | | | | | | | | | | | | | | | |   (2790)  all_10_15 = e2
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | | REDUCE: (102), (2789) imply:
% 56.84/8.65  | | | | | | | | | | | | | | | |   (2791)   ~ (all_4_8 = e2)
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | | SIMP: (2791) implies:
% 56.84/8.65  | | | | | | | | | | | | | | | |   (2792)   ~ (all_4_8 = e2)
% 56.84/8.65  | | | | | | | | | | | | | | | | 
% 56.84/8.65  | | | | | | | | | | | | | | | | REDUCE: (101), (2789) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | |   (2793)   ~ (all_4_13 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | SIMP: (2793) implies:
% 56.85/8.65  | | | | | | | | | | | | | | | |   (2794)   ~ (all_4_13 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | |   (2795)   ~ (all_10_14 = e0)
% 56.85/8.65  | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | REDUCE: (335), (2795) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | |   (2796)   ~ (all_4_12 = e0)
% 56.85/8.65  | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | |   (2797)  all_6_12 = e1
% 56.85/8.65  | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (489), (2797) are inconsistent by sub-proof
% 56.85/8.65  | | | | | | | | | | | | | | | | | |            #193.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | |   (2798)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 56.85/8.65  | | | | | | | | | | | | | | | | | |           all_6_12 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | BETA: splitting (2798) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | |   (2799)  all_6_12 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (517), (2799) are inconsistent by sub-proof
% 56.85/8.65  | | | | | | | | | | | | | | | | | | |            #192.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | |   (2800)   ~ (all_6_12 = e4)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | |   (2801)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (2801) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2802)  all_6_12 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (2802) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2803)  all_4_12 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | SIMP: (2803) implies:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2804)  all_4_12 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2804) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2805)  all_8_8 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (2804) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2806)   ~ (all_4_14 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | SIMP: (2806) implies:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2807)   ~ (all_4_14 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (517), (2804) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | |   (2808)   ~ (e4 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | |   (2809)  all_8_4 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (515), (2809) are inconsistent by sub-proof
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | |            #191.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | |   (2810)  all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2810) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | |   (2811)  all_8_5 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (2811) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | |   (2812)  all_4_11 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2812) implies:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | |   (2813)  all_4_11 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (2813) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | |   (2814)  all_10_6 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2813) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | |   (2815)   ~ (all_4_6 = e0)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | |   (2816)   ~ (all_10_9 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (2816) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | |   (2817)   ~ (all_4_6 = e2)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2818)  all_8_4 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (2818) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2819)  e4 = e1
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2819) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2820)  $false
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2820) is inconsistent.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | |   (2821)  all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (2822)  all_6_22 = e1
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2822) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (2823)  all_4_14 = e1
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (2823) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (2824)  $false
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2824) is inconsistent.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (2825)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2826)  all_6_6 = e1
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1520), (2826) are inconsistent by
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2827)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2827) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2828)  all_6_6 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (521), (2828) are inconsistent by sub-proof
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #42.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2829)   ~ (all_6_6 = e4)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2830)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2825) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2831)  all_6_22 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2831) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2832)  all_4_14 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2751), (2832) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2833)  $false
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2833) is inconsistent.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2834)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2830) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2835)  all_6_6 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (2817), (2835) are inconsistent by
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2836)  all_6_6 = e3 | all_6_6 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2821) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2837)  all_8_5 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2811), (2837) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2838)  e4 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2778), (2838) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2839)  $false
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2839) is inconsistent.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2840)  all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2840) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2841)  all_8_8 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2805), (2841) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2842)  e4 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2842) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2843)  $false
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2843) is inconsistent.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2844)  all_8_14 = e4 | all_8_22 = e4
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2845)  all_6_22 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2845) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2846)  all_4_14 = e2
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2807), (2846) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2847)  $false
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2847) is inconsistent.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2848)  all_6_22 = e3 | all_6_22 = e0
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2848) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2849)  all_6_22 = e3
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2849) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2850)  all_4_14 = e3
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (2850) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2851)  all_8_22 = e3
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2836) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2852)  all_6_6 = e3
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2852) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2853)  all_4_6 = e3
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2853) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2854)   ~ (all_4_8 = e3)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2854) implies:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2855)   ~ (all_4_8 = e3)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (2853) imply:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2856)   ~ (e4 = e3)
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2857)  all_6_16 = e1
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (508), (2857) are inconsistent by sub-proof
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #163.
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2858)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2844) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2859)  all_8_14 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2859) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2860)  all_4_13 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2860) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2861)  all_4_13 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2861) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2862)   ~ (all_4_8 = e4)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2858) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2863)  all_6_16 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (2862), (2863) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2864)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (2792), (2855), (2864) are
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2865)  all_8_22 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2851), (2865) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2866)  e4 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (2866) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2867)  $false
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2867) is inconsistent.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2868)  all_6_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2868) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2869)  all_4_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2815), (2869) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2870)  $false
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2870) is inconsistent.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2871)  all_6_22 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (2871) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2872)  all_4_14 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2748), (2872) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2873)  $false
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2873) is inconsistent.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2874)  all_10_6 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2814), (2874) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2875)  e3 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2875) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2876)  $false
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2876) is inconsistent.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2877)  all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (409), (419), (494), (2748), (2805), (2877)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #176.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |   (2878)  all_6_12 = e3 | all_6_12 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (478), (2796), (2878) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |            sub-proof #174.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2879)  all_10_14 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2880)  all_10_13 = e2
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (2880) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2881)  all_4_22 = e2
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | SIMP: (2881) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2882)  all_4_22 = e2
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2879) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2883)  all_4_12 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | SIMP: (2883) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2884)  all_4_12 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2882) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2885)  all_8_18 = e2
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2884) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2886)  all_8_8 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (79), (2884) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2887)   ~ (all_4_7 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (77), (2882) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2888)   ~ (all_4_7 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (60), (2884) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2889)   ~ (all_4_13 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (58), (2884) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2890)   ~ (all_4_17 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (489), (2884) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2891)   ~ (e1 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (40), (2882) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2892)   ~ (all_4_17 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (35), (2882) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2893)   ~ (all_4_20 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (32), (2882) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2894)   ~ (all_4_21 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (2753), (2882) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2895)   ~ (e4 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | REDUCE: (137), (2884) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | |   (2896)  op(e2, e2) = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | |   (2897)   ~ (all_10_9 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | REDUCE: (354), (2897) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | |   (2898)   ~ (all_4_6 = e2)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2899)   ~ (all_10_9 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (354), (2899) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2900)   ~ (all_4_6 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |   (2901)  all_6_6 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (1520), (2901) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |   (2902)   ~ (all_6_6 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |   (2903)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2903) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2904)  all_6_6 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (521), (2904) are inconsistent by sub-proof
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |            #42.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2905)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2905) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2906)  all_6_6 = e2
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (2898), (2906) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #41.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2907)  all_6_6 = e3 | all_6_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2907) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2908)  all_6_6 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2908) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2909)  all_4_6 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2909) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2910)  all_4_6 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2910) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2911)   ~ (all_4_8 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2911) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2912)   ~ (all_4_8 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2910) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2913)   ~ (all_4_16 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2913) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2914)   ~ (all_4_16 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |   (2915)  all_6_16 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (508), (2915) are inconsistent by sub-proof
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |            #163.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |   (2916)   ~ (all_6_16 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |   (2917)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2917) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2918)  all_6_16 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2918) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2919)  all_4_8 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2919) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2920)  all_4_8 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2920) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2921)   ~ (all_4_7 = e4)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2922)  all_6_11 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2922) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2923)  all_4_7 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2923) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2924)  all_4_7 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2924) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2925)   ~ (all_4_17 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2925) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2926)   ~ (all_4_17 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2927)  all_6_13 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2927) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2928)  all_4_17 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2926), (2928) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2929)  $false
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2929) is inconsistent.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2930)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2931)  all_8_16 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (2931) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2932)  all_4_20 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2932) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2933)  all_4_20 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2933) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2934)   ~ (all_4_15 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2935)  all_6_3 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (2935) are inconsistent by sub-proof
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2936)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (46), (50), (51), (188), (441), (442), (444),
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (480), (495), (496), (497), (2761), (2892),
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2914), (2930), (2934), (2936) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #17.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2937)   ~ (all_8_16 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (2937) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2938)   ~ (all_4_20 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2939)  all_6_4 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (510), (2939) are inconsistent by sub-proof
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #172.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2940)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2940) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2941)  all_6_4 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (2777), (2941) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #130.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2942)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2943)  all_8_1 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2943) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2944)  all_4_5 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2944) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2945)  all_4_5 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (2945) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2946)   ~ (all_4_20 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2946) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2947)   ~ (all_4_20 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (2893), (2938), (2942), (2947) are
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #127.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2948)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (397), (407), (418), (485), (2746), (2887),
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2900), (2948) are inconsistent by sub-proof #123.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2949)   ~ (all_6_11 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (2949) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2950)   ~ (all_4_7 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (20), (21), (237), (238), (395),
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (397), (515), (2778), (2885), (2886), (2921),
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2950) are inconsistent by sub-proof #50.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2951)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (2792), (2912), (2951) are
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #30.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2952)  all_6_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (2900), (2952) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2953)  all_10_9 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2954)  all_10_8 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2954) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2955)  all_4_21 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | SIMP: (2955) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2956)  all_4_21 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (2953) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2957)  all_4_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | SIMP: (2957) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2958)  all_4_6 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2959)  all_8_3 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2960)   ~ (all_4_5 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (87), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2961)   ~ (all_4_7 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (86), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2962)   ~ (all_4_8 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2963)   ~ (all_4_11 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | SIMP: (2963) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2964)   ~ (all_4_11 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2965)   ~ (all_4_16 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (521), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2966)   ~ (e4 = e0)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (61), (2956) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2967)   ~ (all_4_11 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (43), (2956) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2968)   ~ (all_4_16 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (2752), (2956) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2969)   ~ (e4 = e3)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | REDUCE: (143), (2958) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | |   (2970)  op(e3, e3) = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |   (2971)  all_6_1 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (2971) are inconsistent by sub-proof
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |            #119.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |   (2972)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2973)  all_6_13 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2973) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2974)  all_4_17 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | SIMP: (2974) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2975)  all_4_17 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2975) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2976)   ~ (all_4_7 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (480), (2975) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2977)   ~ (e3 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2892), (2975) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | |   (2978)   ~ (e2 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2979)  all_6_11 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2979) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2980)  all_4_7 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2980) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2981)  all_4_7 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2976), (2981) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2982)  $false
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2982) is inconsistent.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2983)   ~ (all_6_11 = e1)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |   (2984)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | |           all_6_11 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2984) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2985)  all_6_11 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2985) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2986)  all_4_7 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2986) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2987)  all_4_7 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2987) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2988)   ~ (all_4_8 = e4)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2988) implies:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2989)   ~ (all_4_8 = e4)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (2987) imply:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | |   (2990)   ~ (all_4_9 = e4)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |   (2991)  all_6_16 = e1
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (508), (2991) are inconsistent by sub-proof
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |            #163.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |   (2992)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2992) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2993)  all_6_16 = e4
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (2989), (2993) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2994)   ~ (all_6_16 = e4)
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (2995)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2996)  all_6_16 = e2
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (2792), (2996) are inconsistent by
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #60.
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2997)  all_6_16 = e3 | all_6_16 = e0
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2997) gives:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2998)  all_6_16 = e3
% 56.85/8.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2998) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2999)  all_4_8 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2999) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3000)  all_4_8 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3000) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3001)  all_8_13 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3000) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3002)   ~ (all_4_5 = e3)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3003)  all_6_17 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (3003) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3004)  all_4_13 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (3004) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3005)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3005) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3006)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3007)  all_8_12 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2787), (3007) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3008)  e4 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3008) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3009)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3009) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3010)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2972) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3011)  all_6_1 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (2773), (3011) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #116.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3012)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3006) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3013)  all_6_17 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (3013) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3014)  all_4_13 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (3014) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3015)   ~ (all_4_11 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3014) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3016)   ~ (all_4_14 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3017)  all_6_7 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (487), (3017) are inconsistent by sub-proof
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #118.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3018)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3019)  all_6_1 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (3019) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3020)  all_4_5 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3020) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3021)  all_4_5 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3021) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3022)   ~ (all_4_9 = e2)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3022) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3023)   ~ (all_4_9 = e2)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3021) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3024)   ~ (all_4_15 = e2)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3024) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3025)   ~ (all_4_15 = e2)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3021) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3026)  op(e4, e3) = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3027)  all_6_21 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (3027) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3028)  all_4_9 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3028) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3029)  all_4_9 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2750), (3029) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3030)   ~ (e4 = e1)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3029) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3031)  op(e0, e3) = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3032)  all_6_3 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (3032) are inconsistent by sub-proof
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3033)   ~ (all_6_3 = e1)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3034)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3034) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3035)  all_6_3 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (2775), (3035) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #167.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3036)   ~ (all_6_3 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3037)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3037) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3038)  all_6_3 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (3025), (3038) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #72.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3039)  all_6_3 = e3 | all_6_3 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3039) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3040)  all_6_3 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (441), (3040) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3041)  all_4_15 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3041) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3042)  all_4_15 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3042) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3043)  op(e4, e1) = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3044)  all_8_4 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3044) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3045)  e3 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (3045) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3046)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3046) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3047)  all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3047) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3048)  all_8_5 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (387), (2967), (3048) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #59.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3049)  all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3049) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3050)  all_8_8 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2886), (3050) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3051)  e3 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3051) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3052)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3052) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3053)  all_8_14 = e3 | all_8_22 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3053) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3054)  all_8_14 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (407), (465), (506), (2778), (2989),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3010), (3054) are inconsistent by sub-proof #56.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3055)  all_8_22 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (3055) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3056)  all_4_14 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3056) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3057)  all_4_14 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (3057) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3058)  op(e0, e2) = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3059)  unit = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3059) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3060)  op(e1, e1) = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (3060), (function-axioms) are
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3061)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (5), (7), (8), (9), (14), (15), (133),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (447), (485), (515), (2896), (2970), (2997),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3026), (3031), (3043), (3058), (3061),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #53.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3062)  all_6_3 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (495), (3062) are inconsistent by sub-proof
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3063)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_21 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3018) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3064)  all_6_7 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (3015), (3064) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #90.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3065)  all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3065) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3066)  all_6_7 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (3066) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3067)  all_4_11 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3067) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3068)  all_4_11 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (3068) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3069)   ~ (all_4_14 = e2)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3069) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3070)   ~ (all_4_14 = e2)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3071)  all_6_22 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3071) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3072)  all_4_14 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (3072) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3073)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3073) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3074)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3063) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3075)  all_6_21 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (2750), (3075) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #161.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3076)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3074) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3077)  all_6_22 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3077) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3078)  all_4_14 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3078) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3079)  all_4_14 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2751), (3079) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3080)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3080) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3081)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3081) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3082)  all_6_22 = e2
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (3070), (3082) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #145.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3083)  all_6_22 = e3 | all_6_22 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3083) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3084)  all_6_22 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3084) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3085)  all_4_14 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3085) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3086)  all_4_14 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3086) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3087)   ~ (all_4_9 = e3)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (2746), (3023), (3076), (3087) are
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #135.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3088)  all_6_22 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (2748), (3088) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #144.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3089)  all_6_7 = e3 | all_6_7 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (2964), (2967), (3089) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #88.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3090)  all_6_1 = e3 | all_6_1 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (2960), (3002), (3090) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #99.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3091)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3010) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3092)  all_8_13 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3001), (3092) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3093)  e4 = e3
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (3093) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3094)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3094) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3095)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (21), (409), (449), (465), (494), (506),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2778), (2794), (3091), (3095) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #73.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3096)  all_6_16 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (3096) are inconsistent by sub-proof
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |            #58.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3097)   ~ (all_6_11 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (3097) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3098)   ~ (all_4_7 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (17), (19), (20), (21), (237), (238), (395),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |            (397), (515), (2778), (2885), (2886), (2976),
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |            (3098) are inconsistent by sub-proof #50.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | |   (3099)   ~ (all_6_13 = e1)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | |   (3100)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (3099) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | |   (3101)   ~ (all_4_17 = e1)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | |   (3102)  all_8_6 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (395), (3102) are inconsistent by sub-proof
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | |            #84.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | |   (3103)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3100) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3104)  all_6_13 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (3104) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3105)  all_4_17 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3105) implies:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3106)  all_4_17 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (399), (3106) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3107)  all_8_11 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (332), (3106) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3108)  all_10_12 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3106) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3109)   ~ (all_4_7 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (3106) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | |   (3110)   ~ (all_4_16 = e4)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | |   (3111)  all_6_8 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (2761), (3111) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #19.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | |   (3112)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3112) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (3113)  all_6_8 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (3110), (3113) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #68.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (3114)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3115)  all_6_11 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3115) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3116)  all_4_7 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3116) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3117)  all_8_7 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (3116) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3118)  all_10_11 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3109), (3116) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3119)   ~ (e4 = e1)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (476), (3116) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3120)   ~ (e3 = e1)
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (250) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3121)  all_8_1 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (2773), (3121) are inconsistent by
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3122)  all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3122) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3123)  all_8_3 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2959), (3123) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3124)  e4 = e0
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2778), (3124) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3125)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3125) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3126)  all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3126) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3127)  all_8_7 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3117), (3127) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3128)  e4 = e1
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3128) imply:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3129)  $false
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3129) is inconsistent.
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3130)  all_8_13 = e4 | all_8_21 = e4
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3130) gives:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3131)  all_8_13 = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3131) imply:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3132)  all_4_8 = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3132) implies:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3133)  all_4_8 = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3133) imply:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3134)   ~ (all_4_13 = e4)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3134) implies:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3135)   ~ (all_4_13 = e4)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3133) imply:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3136)  op(e1, e3) = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3137)  all_8_12 = e3
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2787), (3137) imply:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3138)  e3 = e2
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3138) imply:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3139)  $false
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3139) is inconsistent.
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3140)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3141)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e4))) & ( ~ (all_10_7 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_13 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_19 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_22 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e4))) & ( ~ (all_10_24 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_13 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_15 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_18 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_20 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))) & ( ~ (all_10_23 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e3))))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3141) gives:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3142)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4)))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3142) implies:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3143)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (342), (3108), (3143) are inconsistent by
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #160.
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3144)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3)))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3144) implies:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3145)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (193), (363), (370), (441), (442), (484),
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (493), (495), (496), (2775), (2968), (3114),
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3145) are inconsistent by sub-proof #8.
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3146)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_12 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_19 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_21 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e2))) & ( ~ (all_10_24 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3146) gives:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3147)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2)))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (21), (320), (409), (465), (506),
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2790), (3131), (3135), (3140), (3147) are
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #155.
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3148)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_16 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_18 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_21 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_16 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_22 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                   = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 = e0)))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3148) gives:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3149)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_23 = e0 &  ~ (unit = e1)))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3149) implies:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3150)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (3108), (3118), (3150) are inconsistent by
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3151)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                 e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3151) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3152)   ~ (all_10_14 = e0) | (all_10_13 = e2 &  ~ (unit =
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |               e0))
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3152) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3153)   ~ (all_10_14 = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2879), (3153) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3154)  $false
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3154) is inconsistent.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3155)  all_10_13 = e2 &  ~ (unit = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3155) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3156)   ~ (unit = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3157)  all_8_1 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3157) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3158)  all_4_5 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3158) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3159)  all_4_5 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3159) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3160)  op(e4, e3) = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3161)  all_6_3 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (3161) are inconsistent by sub-proof
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3162)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3163)  all_8_9 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (3163) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3164)  all_4_15 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3164) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3165)  all_4_15 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (3165) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3166)  op(e4, e1) = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (9), (11), (15), (22), (2896),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3136), (3156), (3160), (3166), (function-axioms)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #33.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3167)   ~ (all_8_9 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (3167) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3168)   ~ (all_4_15 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (441), (442), (495), (496), (2775), (2968),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3114), (3162), (3168) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #18.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3169)   ~ (all_8_1 = e2)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3169) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3170)   ~ (all_4_5 = e2)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (89), (193), (249), (375), (427), (441),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (442), (493), (495), (496), (2773), (2775),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2960), (2968), (2972), (3114), (3170) are
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #6.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3171)  all_8_21 = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (418), (2750), (3171) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #91.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3172)   ~ (all_6_11 = e1)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (3172) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3173)   ~ (all_4_7 = e1)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (19), (397), (515), (2885), (2886), (3103),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |            (3107), (3173) are inconsistent by sub-proof #52.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3174)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (480), (497), (2892), (3174) are
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #134.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3175)  all_10_9 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3176)  all_10_6 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (351), (3176) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3177)  all_4_11 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | SIMP: (3177) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3178)  all_4_11 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (3175) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3179)  all_4_6 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | SIMP: (3179) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3180)  all_4_6 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | REDUCE: (94), (3180) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3181)   ~ (all_4_5 = e2)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | REDUCE: (82), (3180) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3182)   ~ (all_4_21 = e2)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | REDUCE: (64), (3178) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3183)   ~ (all_4_13 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | SIMP: (3183) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3184)   ~ (all_4_13 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | REDUCE: (61), (3178) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3185)   ~ (all_4_21 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | SIMP: (3185) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3186)   ~ (all_4_21 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | REDUCE: (143), (3180) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | |   (3187)  op(e3, e3) = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | |   (3188)  all_6_17 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (3188) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | |   (3189)  all_4_13 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | REDUCE: (509), (3189) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | |   (3190)  $false
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | CLOSE: (3190) is inconsistent.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | |   (3191)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 56.85/8.69  | | | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | |   (3192)  all_6_9 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (511), (3192) are inconsistent by sub-proof
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | |            #25.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | |   (3193)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 |
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3193) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | |   (3194)  all_6_9 = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (2752), (3194) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | |            sub-proof #24.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | |   (3195)  all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3195) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | |   (3196)  all_6_9 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (2894), (3196) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #2.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | |   (3197)  all_6_9 = e3 | all_6_9 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3197) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3198)  all_6_9 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3186), (3198) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #15.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3199)  all_6_9 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (453), (3199) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3200)  all_4_21 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3200) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3201)  all_4_21 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3201) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3202)   ~ (all_4_20 = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3201) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | |   (3203)  op(e3, e0) = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3191) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | |   (3204)  all_6_17 = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (3204) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | |   (3205)  all_4_13 = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3205) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | |   (3206)   ~ (all_4_8 = e4)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (3207)  all_6_4 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (3207) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (3208)  all_4_20 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (510), (3208) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (3209)  $false
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3209) is inconsistent.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | |   (3210)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3211)  all_6_16 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3211) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3212)  all_4_8 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (3212) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3213)  $false
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3213) is inconsistent.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3214)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3215)  all_8_16 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (3215) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3216)  all_4_20 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3216) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3217)  all_4_20 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (3217) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3218)   ~ (all_4_5 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3214) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3219)  all_6_16 = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (3206), (3219) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3220)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3221)  all_6_1 = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (3221) are inconsistent by sub-proof
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3222)   ~ (all_6_1 = e1)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3223)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3223) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3224)  all_6_1 = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (2773), (3224) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #116.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3225)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3225) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3226)  all_6_1 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (3181), (3226) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #28.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3227)   ~ (all_6_1 = e2)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3228)  all_6_1 = e3 | all_6_1 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3229)  all_8_1 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3229) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3230)  all_4_5 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3230) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3231)  all_4_5 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3231) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3232)   ~ (all_4_8 = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3181), (3231) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3233)   ~ (e2 = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3231) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3234)  op(e4, e3) = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3220) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3235)  all_6_16 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (2792), (3235) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #60.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3236)  all_6_16 = e3 | all_6_16 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3236) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3237)  all_6_16 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3237) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3238)  all_4_8 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3238) implies:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3239)  all_4_8 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3239) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3240)  op(e1, e3) = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3241)  unit = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3241) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3242)  op(e1, e1) = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (3242), (function-axioms) are
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3243)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3243) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3244)  unit = e4
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (9), (23), (24), (515), (3234), (3244),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #140.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3245)  unit = e3 | unit = e2 | unit = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3245) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3246)  unit = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3246) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3247)  op(e2, e2) = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (2896), (3247), (function-axioms) are
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3248)  unit = e3 | unit = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3248) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3249)  unit = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3249) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3250)  op(e3, e3) = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3249) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3251)  op(e1, e3) = e1
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3187), (3240), (3250), (3251),
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #139.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3252)  unit = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3253)   ~ (unit = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3252) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3254)  op(e3, e0) = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e0,
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (3203), (3254) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3255)  e3 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3255) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3256)  $false
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3256) is inconsistent.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3257)  all_6_16 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (485), (3257) are inconsistent by sub-proof
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #58.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3258)   ~ (all_8_1 = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (3258) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3259)   ~ (all_4_5 = e0)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3228) gives:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3260)  all_6_1 = e3
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (3218), (3260) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #101.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3261)  all_6_1 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (3259), (3261) are inconsistent by
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3262)   ~ (all_8_16 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (3262) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3263)   ~ (all_4_20 = e3)
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (2777), (2893), (3202), (3210), (3263) are
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #126.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | |   (3264)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (494), (2794), (3184), (3264) are
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #26.
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | |   (3265)  all_8_20 = e2
% 56.85/8.69  | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | COMBINE_EQS: (2742), (3265) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | |   (3266)  e2 = e0
% 56.85/8.69  | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | REDUCE: (14), (3266) imply:
% 56.85/8.69  | | | | | | | | | | | | | | | |   (3267)  $false
% 56.85/8.69  | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | | CLOSE: (3267) is inconsistent.
% 56.85/8.69  | | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | Case 2:
% 56.85/8.69  | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | |   (3268)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 56.85/8.69  | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | | REF_CLOSE: (425), (468), (519), (2743), (3268) are
% 56.85/8.69  | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 56.85/8.69  | | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | | 
% 56.85/8.69  | | | | | | | | | | End of split
% 56.85/8.69  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | |   (3269)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | BETA: splitting (3269) gives:
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | |   (3270)  all_8_6 = e1
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | COMBINE_EQS: (395), (3270) imply:
% 56.85/8.70  | | | | | | | | | | |   (3271)  e3 = e1
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | REDUCE: (17), (3271) imply:
% 56.85/8.70  | | | | | | | | | | |   (3272)  $false
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | CLOSE: (3272) is inconsistent.
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | |   (3273)  all_8_12 = e1 | all_8_20 = e1
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | BETA: splitting (3273) gives:
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | |   (3274)  all_8_12 = e1
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | REF_CLOSE: (405), (507), (3274) are inconsistent by sub-proof
% 56.85/8.70  | | | | | | | | | | | |            #83.
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | |   (3275)  all_8_20 = e1
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | COMBINE_EQS: (2742), (3275) imply:
% 56.85/8.70  | | | | | | | | | | | |   (3276)  e1 = e0
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | REDUCE: (515), (3276) imply:
% 56.85/8.70  | | | | | | | | | | | |   (3277)  $false
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | CLOSE: (3277) is inconsistent.
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | End of split
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | End of split
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | End of split
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | End of split
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | End of split
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | Case 2:
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | |   (3278)  all_10_9 = e1
% 56.85/8.70  | | | | | | |   (3279)  all_10_7 = e3
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | COMBINE_EQS: (348), (3279) imply:
% 56.85/8.70  | | | | | | |   (3280)  all_4_16 = e3
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | COMBINE_EQS: (354), (3278) imply:
% 56.85/8.70  | | | | | | |   (3281)  all_4_6 = e1
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | SIMP: (3281) implies:
% 56.85/8.70  | | | | | | |   (3282)  all_4_6 = e1
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | COMBINE_EQS: (389), (3280) imply:
% 56.85/8.70  | | | | | | |   (3283)  all_8_10 = e3
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | COMBINE_EQS: (392), (3282) imply:
% 56.85/8.70  | | | | | | |   (3284)  all_8_3 = e1
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (113), (3282) imply:
% 56.85/8.70  | | | | | | |   (3285)   ~ (all_4_1 = e1)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (87), (3282) imply:
% 56.85/8.70  | | | | | | |   (3286)   ~ (all_4_7 = e1)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | SIMP: (3286) implies:
% 56.85/8.70  | | | | | | |   (3287)   ~ (all_4_7 = e1)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (86), (3282) imply:
% 56.85/8.70  | | | | | | |   (3288)   ~ (all_4_8 = e1)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (83), (3280), (3282) imply:
% 56.85/8.70  | | | | | | |   (3289)   ~ (e3 = e1)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (82), (3282) imply:
% 56.85/8.70  | | | | | | |   (3290)   ~ (all_4_21 = e1)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (62), (3280) imply:
% 56.85/8.70  | | | | | | |   (3291)   ~ (all_4_11 = e3)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (51), (3280) imply:
% 56.85/8.70  | | | | | | |   (3292)   ~ (all_4_15 = e3)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (44), (3280) imply:
% 56.85/8.70  | | | | | | |   (3293)   ~ (all_4_19 = e3)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | SIMP: (3293) implies:
% 56.85/8.70  | | | | | | |   (3294)   ~ (all_4_19 = e3)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (43), (3280) imply:
% 56.85/8.70  | | | | | | |   (3295)   ~ (all_4_21 = e3)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | SIMP: (3295) implies:
% 56.85/8.70  | | | | | | |   (3296)   ~ (all_4_21 = e3)
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | REDUCE: (143), (3282) imply:
% 56.85/8.70  | | | | | | |   (3297)  op(e3, e3) = e1
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | BETA: splitting (237) gives:
% 56.85/8.70  | | | | | | | 
% 56.85/8.70  | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | |   (3298)  all_8_6 = e1
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | | COMBINE_EQS: (395), (3298) imply:
% 56.85/8.70  | | | | | | | |   (3299)  e3 = e1
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | | REDUCE: (17), (3299) imply:
% 56.85/8.70  | | | | | | | |   (3300)  $false
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | | CLOSE: (3300) is inconsistent.
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | |   (3301)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 56.85/8.70  | | | | | | | |           = e1
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | | BETA: splitting (3301) gives:
% 56.85/8.70  | | | | | | | | 
% 56.85/8.70  | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | |   (3302)  all_8_7 = e1
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | COMBINE_EQS: (397), (3302) imply:
% 56.85/8.70  | | | | | | | | |   (3303)  all_4_7 = e1
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | REDUCE: (3287), (3303) imply:
% 56.85/8.70  | | | | | | | | |   (3304)  $false
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | CLOSE: (3304) is inconsistent.
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | |   (3305)  all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | BETA: splitting (253) gives:
% 56.85/8.70  | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | |   (3306)  all_8_0 = e1
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | REF_CLOSE: (371), (469), (3306) are inconsistent by sub-proof
% 56.85/8.70  | | | | | | | | | |            #49.
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | |   (3307)  all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 56.85/8.70  | | | | | | | | | |           all_8_20 = e1
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | BETA: splitting (3307) gives:
% 56.85/8.70  | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | |   (3308)  all_8_2 = e1
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | REF_CLOSE: (385), (3285), (3308) are inconsistent by
% 56.85/8.70  | | | | | | | | | | |            sub-proof #48.
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | |   (3309)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | BETA: splitting (3305) gives:
% 56.85/8.70  | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | |   (3310)  all_8_8 = e1
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | COMBINE_EQS: (403), (3310) imply:
% 56.85/8.70  | | | | | | | | | | | |   (3311)  all_4_12 = e1
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | REDUCE: (489), (3311) imply:
% 56.85/8.70  | | | | | | | | | | | |   (3312)  $false
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | CLOSE: (3312) is inconsistent.
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | |   (3313)  all_8_11 = e1 | all_8_18 = e1
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | BETA: splitting (3313) gives:
% 56.85/8.70  | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | |   (3314)  all_8_11 = e1
% 56.85/8.70  | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | COMBINE_EQS: (399), (3314) imply:
% 56.85/8.70  | | | | | | | | | | | | |   (3315)  all_4_17 = e1
% 56.85/8.70  | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | SIMP: (3315) implies:
% 56.85/8.70  | | | | | | | | | | | | |   (3316)  all_4_17 = e1
% 56.85/8.70  | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | BETA: splitting (223) gives:
% 56.85/8.70  | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | |   (3317)  all_8_20 = e1
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | COMBINE_EQS: (415), (3317) imply:
% 56.85/8.70  | | | | | | | | | | | | | |   (3318)  all_4_4 = e1
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | SIMP: (3318) implies:
% 56.85/8.70  | | | | | | | | | | | | | |   (3319)  all_4_4 = e1
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | COMBINE_EQS: (311), (3319) imply:
% 56.85/8.70  | | | | | | | | | | | | | |   (3320)  all_10_20 = e1
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | REDUCE: (98), (3319) imply:
% 56.85/8.70  | | | | | | | | | | | | | |   (3321)   ~ (all_4_9 = e1)
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | SIMP: (3321) implies:
% 56.85/8.70  | | | | | | | | | | | | | |   (3322)   ~ (all_4_9 = e1)
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | REDUCE: (96), (3319) imply:
% 56.85/8.70  | | | | | | | | | | | | | |   (3323)   ~ (all_4_19 = e1)
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | SIMP: (3323) implies:
% 56.85/8.70  | | | | | | | | | | | | | |   (3324)   ~ (all_4_19 = e1)
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 56.85/8.70  | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | |   (3325)   ~ (all_10_24 = e4)
% 56.85/8.70  | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | REDUCE: (299), (3325) imply:
% 56.85/8.70  | | | | | | | | | | | | | | |   (3326)   ~ (all_4_24 = e4)
% 56.85/8.70  | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | BETA: splitting (295) gives:
% 56.85/8.70  | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | |   (3327)   ~ (all_10_4 = e0)
% 56.85/8.70  | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | REDUCE: (467), (3327) imply:
% 56.85/8.70  | | | | | | | | | | | | | | | |   (3328)   ~ (all_4_0 = e0)
% 56.85/8.70  | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 56.85/8.70  | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | |   (3329)  all_8_0 = e0
% 56.85/8.70  | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | REF_CLOSE: (371), (3328), (3329) are inconsistent by
% 56.85/8.70  | | | | | | | | | | | | | | | | |            sub-proof #173.
% 56.85/8.70  | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | |   (3330)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 56.85/8.70  | | | | | | | | | | | | | | | | |           all_8_20 = e0
% 56.85/8.70  | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 56.85/8.70  | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | |   (3331)  all_6_0 = e1
% 56.85/8.70  | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (469), (3331) are inconsistent by sub-proof
% 56.85/8.70  | | | | | | | | | | | | | | | | | |            #185.
% 56.85/8.70  | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | Case 2:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | |   (3332)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 56.85/8.70  | | | | | | | | | | | | | | | | | |           all_6_0 = e0
% 56.85/8.70  | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | BETA: splitting (3330) gives:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3333)  all_8_2 = e0
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (3333) imply:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3334)  all_4_1 = e0
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | SIMP: (3334) implies:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3335)  all_4_1 = e0
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | REDUCE: (112), (3335) imply:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3336)   ~ (all_4_11 = e0)
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | SIMP: (3336) implies:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3337)   ~ (all_4_11 = e0)
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3335) imply:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3338)   ~ (all_4_21 = e0)
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | SIMP: (3338) implies:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | |   (3339)   ~ (all_4_21 = e0)
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | 
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | Case 1:
% 56.85/8.70  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | |   (3340)  all_8_0 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (371), (519), (3340) are inconsistent by sub-proof
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | |            #3.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | |   (3341)   ~ (all_8_0 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | |   (3342)  all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | |           all_8_20 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3332) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3343)  all_6_0 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3343) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3344)  all_4_0 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | SIMP: (3344) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3345)  all_4_0 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (3345) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3346)   ~ (all_4_5 = e4)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | SIMP: (3346) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3347)   ~ (all_4_5 = e4)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3345) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3348)   ~ (all_4_15 = e4)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | SIMP: (3348) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | |   (3349)   ~ (all_4_15 = e4)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3342) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | |   (3350)  all_8_2 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3333), (3350) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | |   (3351)  e2 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (3351) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | |   (3352)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3352) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | |   (3353)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3353) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | |   (3354)  all_8_6 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (3354) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | |   (3355)  e3 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3355) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | |   (3356)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3356) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | |   (3357)  all_8_12 = e2 | all_8_20 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3357) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | |   (3358)  all_8_12 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (3358) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | |   (3359)  all_4_3 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3359) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | |   (3360)  all_4_3 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (3360) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | |   (3361)   ~ (all_4_8 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3361) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | |   (3362)   ~ (all_4_8 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (3363)  all_6_3 = e1
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (3363) are inconsistent by sub-proof
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | |            #168.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (3364)   ~ (all_6_3 = e1)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (3365)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3366)  all_6_3 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (3349), (3366) are inconsistent by
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #167.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3367)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3368)  all_8_9 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (3368) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3369)  all_4_15 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3369) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3370)   ~ (all_4_5 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3371)   ~ (all_10_24 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (299), (3371) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3372)   ~ (all_4_24 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3373)  all_6_24 = e1
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (3373) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3374)  all_4_24 = e1
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (3374) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3375)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3375) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3376)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_24 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3376) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3377)  all_6_24 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (3377) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3378)  all_4_24 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3326), (3378) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3379)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3379) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3380)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3380) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3381)  all_6_24 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (3381) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3382)  all_4_24 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3372), (3382) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3383)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3383) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3384)  all_6_24 = e3 | all_6_24 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3385)  all_6_24 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (3385) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3386)  all_4_24 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (3386) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3387)  all_10_24 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3388)   ~ (all_10_24 = e3)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3387), (3388) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3389)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3389) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3390)  all_10_21 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (308), (3390) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3391)  all_4_9 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3391) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3392)  all_4_9 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3392) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3393)  all_8_21 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3392) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3394)   ~ (all_4_5 = e0)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3392) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3395)   ~ (all_4_14 = e0)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3395) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3396)   ~ (all_4_14 = e0)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3322), (3392) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3397)   ~ (e1 = e0)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3398)  all_6_1 = e1
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (484), (3398) are inconsistent by sub-proof
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #119.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3399)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_1 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3399) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3400)  all_6_1 = e4
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (3347), (3400) are inconsistent by
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #116.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3401)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3401) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3402)  all_6_1 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (3370), (3402) are inconsistent by
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #28.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3403)   ~ (all_6_1 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3404)  all_6_1 = e3 | all_6_1 = e0
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3404) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3405)  all_6_1 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (3405) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3406)  all_4_5 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3406) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3407)  all_4_5 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3407) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3408)  all_8_1 = e3
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3409)  all_8_1 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3408), (3409) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3410)  e3 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3410) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3411)  e3 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3411) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3412)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3412) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3413)  all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3413) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3414)  all_8_3 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3284), (3414) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3415)  e2 = e1
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3415) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3416)  $false
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3416) is inconsistent.
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3417)  all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3417) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3418)  all_8_7 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3418) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3419)  all_4_7 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3419) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3420)  all_4_7 = e2
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (3420) imply:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3421)   ~ (all_4_22 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3421) implies:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3422)   ~ (all_4_22 = e2)
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3423)   ~ (all_10_14 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (335), (3423) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3424)   ~ (all_4_12 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3425)  all_8_4 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (466), (515), (3425) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #191.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3426)  all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_22 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3426) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3427)  all_8_5 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (3427) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3428)  all_4_11 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3428) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3429)  all_4_11 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3337), (3429) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3430)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3430) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3431)  all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3432)  all_8_8 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3432) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3433)  all_4_12 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3424), (3433) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3434)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3434) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3435)  all_8_14 = e0 | all_8_22 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (409), (419), (494), (3396), (3435) are
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #177.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3436)  all_10_13 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (329), (3436) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3437)  all_4_22 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3437) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3438)  all_4_22 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3422), (3438) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3439)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3439) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3440)  all_8_13 = e2 | all_8_21 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (407), (3362), (3393), (3440) are
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3441)  all_6_1 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (427), (3394), (3441) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #100.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3442)  all_6_24 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (3442) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3443)  all_4_24 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1518), (3443) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3444)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3444) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3445)  all_10_24 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3446)  all_10_22 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (305), (3446) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3447)  all_4_14 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3447) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3448)  all_4_14 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (299), (3445) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3449)  all_4_24 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (3448) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3450)   ~ (all_4_12 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (3449) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3451)   ~ (all_4_21 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3452)  all_8_2 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3333), (3452) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3453)  e2 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (3453) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3454)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3454) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3455)  all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_17 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3455) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3456)  all_8_3 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3284), (3456) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3457)  e2 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3457) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3458)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3458) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3459)  all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3460)  all_6_12 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (489), (3460) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #193.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3461)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_12 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3459) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3462)  all_8_5 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (387), (3462) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3463)  all_4_11 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3463) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3464)  all_4_11 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (3464) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3465)   ~ (all_4_12 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3465) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3466)   ~ (all_4_12 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3461) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3467)  all_6_12 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (517), (3467) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #192.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3468)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3468) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3469)  all_6_12 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (3466), (3469) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #120.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3470)  all_6_12 = e3 | all_6_12 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (478), (3450), (3470) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #174.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3471)   ~ (all_8_5 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (387), (3471) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3472)   ~ (all_4_11 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3473)  all_6_7 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (487), (3473) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #118.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3474)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_7 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3475)  all_6_9 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (511), (3475) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #25.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3476)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3474) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3477)  all_6_7 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (3477) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3478)  all_4_11 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3478) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3479)  all_4_11 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3479) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3480)   ~ (all_4_21 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3480) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3481)   ~ (all_4_21 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3476) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3482)  all_6_9 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3481), (3482) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #24.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3483)  all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3483) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3484)  all_6_9 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3451), (3484) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #2.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3485)  all_6_9 = e3 | all_6_9 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3296), (3339), (3485) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3486)  all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (3291), (3337), (3472), (3486) are
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #67.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3487)   ~ (all_8_9 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (3487) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3488)   ~ (all_4_15 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3367) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3489)  all_6_3 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (3488), (3489) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #72.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3490)  all_6_3 = e3 | all_6_3 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (495), (3292), (3490) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #32.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |   (3491)  all_8_20 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3317), (3491) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |   (3492)  e2 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3492) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |   (3493)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3493) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3494)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (468), (519), (3328), (3494) are
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #179.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | |   (3495)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (3495) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3496)  all_8_6 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (3496) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3497)  e3 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3497) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3498)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | CLOSE: (3498) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3499)  all_8_12 = e0 | all_8_20 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3499) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3500)  all_8_12 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (405), (483), (3500) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |            #182.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3501)  all_8_20 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3317), (3501) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3502)  e1 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | SIMP: (3502) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3503)  e1 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (515), (3503) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3504)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | CLOSE: (3504) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | End of split
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3505)  all_10_4 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3506)  all_10_3 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (3506) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3507)  all_4_20 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (3505) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3508)  all_4_0 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | SIMP: (3508) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3509)  all_4_0 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | COMBINE_EQS: (380), (3507) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3510)  all_8_16 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | COMBINE_EQS: (371), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3511)  all_8_0 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (124), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3512)   ~ (all_4_1 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | SIMP: (3512) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3513)   ~ (all_4_1 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (122), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3514)   ~ (all_4_3 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (120), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3515)   ~ (all_4_5 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | SIMP: (3515) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3516)   ~ (all_4_5 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (118), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3517)   ~ (all_4_15 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (117), (3507), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3518)   ~ (e4 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | SIMP: (3518) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3519)   ~ (e4 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (468), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3520)   ~ (e3 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (469), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3521)   ~ (e1 = e0)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (47), (3507) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3522)   ~ (all_4_15 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (36), (3507) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3523)   ~ (all_4_21 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | SIMP: (3523) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3524)   ~ (all_4_21 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (35), (3507) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3525)   ~ (all_4_22 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | SIMP: (3525) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3526)   ~ (all_4_22 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | REDUCE: (149), (3509) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | |   (3527)  op(e4, e4) = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | BETA: splitting (256) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | |   (3528)  all_8_0 = e3
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | COMBINE_EQS: (3511), (3528) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | |   (3529)  e3 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | REDUCE: (16), (3529) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | |   (3530)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | CLOSE: (3530) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | |   (3531)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 |
% 57.04/8.71  | | | | | | | | | | | | | | | | |           all_8_16 = e3
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | BETA: splitting (193) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | |   (3532)  all_6_3 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (493), (3532) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | |            #168.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | |   (3533)   ~ (all_6_3 = e1)
% 57.04/8.71  | | | | | | | | | | | | | | | | | |   (3534)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | |   (3535)  all_8_9 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (379), (3522), (3535) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | |            sub-proof #10.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | |   (3536)  all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | |           all_8_23 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (3536) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3537)  all_8_10 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3283), (3537) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3538)  e4 = e3
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (3538) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3539)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | CLOSE: (3539) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | |   (3540)  all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (3540) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3541)  all_8_11 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3314), (3541) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3542)  e4 = e1
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3542) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3543)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | CLOSE: (3543) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | |   (3544)  all_8_15 = e4 | all_8_23 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3544) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3545)  all_8_15 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (3545) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3546)  e4 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3519), (3546) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3547)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3547) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3548)  all_8_23 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3548) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3549)  all_4_19 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | SIMP: (3549) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3550)  all_4_19 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (3550) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | |   (3551)   ~ (all_4_14 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | |   (3552)  all_8_9 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (3552) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | |   (3553)  all_4_15 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3553) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | |   (3554)  all_4_15 = e2
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3554) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | |   (3555)   ~ (all_4_5 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3522), (3554) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | |   (3556)   ~ (e4 = e2)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |   (3557)  all_8_6 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (395), (3557) are inconsistent by sub-proof
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |            #47.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |   (3558)  all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | |           all_8_18 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3558) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (3559)  all_8_7 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3559) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (3560)  all_4_7 = e4
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3560) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (3561)   ~ (all_4_5 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (3560) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (3562)   ~ (all_4_8 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3562) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (3563)   ~ (all_4_8 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (3560) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (3564)   ~ (all_4_12 = e4)
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (246) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3565)  all_8_1 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3565) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3566)  all_4_5 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3566) implies:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3567)  all_4_5 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3516), (3567) imply:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3568)  $false
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3568) is inconsistent.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (3569)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3569) gives:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3570)  all_8_3 = e0
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (3284), (3570) are inconsistent by
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #64.
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3571)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3571) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3572)  all_8_7 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3559), (3572) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3573)  e4 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3519), (3573) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3574)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3574) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3575)  all_8_13 = e0 | all_8_21 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3531) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3576)  all_8_1 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (3576) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3577)  all_4_5 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3577) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3578)  all_4_5 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (3578) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3579)   ~ (all_4_8 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3579) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3580)   ~ (all_4_8 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3578) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3581)   ~ (all_4_9 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3581) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3582)   ~ (all_4_9 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3561), (3578) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3583)   ~ (e4 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (148), (3578) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3584)  op(e4, e3) = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (231) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3585)  all_8_12 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (405), (472), (3585) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #98.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3586)   ~ (all_8_12 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3587)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_19 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3587) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3588)  all_8_13 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (3580), (3588) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #136.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3589)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3590)  all_6_16 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3590) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3591)  all_4_8 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (508), (3591) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3592)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3592) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3593)   ~ (all_6_16 = e1)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3594)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3575) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3595)  all_8_13 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (485), (3595) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #124.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3596)  all_8_21 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3596) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3597)  all_4_9 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3597) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3598)  all_4_9 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3598) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3599)   ~ (all_4_14 = e0)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3599) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3600)   ~ (all_4_14 = e0)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3601)  all_8_1 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (18), (21), (379), (466), (3292), (3510),
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (3531), (3601) are inconsistent by sub-proof #80.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3602)  all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_21 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3594) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3603)  all_6_16 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3603) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3604)  all_4_8 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3563), (3604) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3605)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3605) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3606)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3606) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3607)  all_6_16 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3607) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3608)  all_4_8 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (3608) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3609)   ~ (all_4_3 = e2)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3610)  all_6_15 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (507), (3610) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #170.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3611)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3611) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3612)  all_6_15 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (3612) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3613)  all_4_3 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3613) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3614)  all_4_3 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (3614) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3615)   ~ (all_4_1 = e4)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (3614) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3616)  op(e1, e4) = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3617)  all_6_5 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3617) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3618)  all_4_1 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3618) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3619)  all_4_1 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3285), (3619) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3620)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3620) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3621)   ~ (all_6_5 = e1)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3622)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3622) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3623)  all_6_5 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (3615), (3623) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #96.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3624)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3625)  all_8_20 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3317), (3625) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3626)  e2 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3626) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3627)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3627) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3628)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_8_24 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3628) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3629)  all_8_21 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3596), (3629) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3630)  e2 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (3630) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3631)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3631) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3632)  all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3632) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3633)  all_8_22 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (3633) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3634)  all_4_14 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3634) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3635)  all_4_14 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (3635) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3636)   ~ (all_4_12 = e2)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3637)  all_6_12 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (489), (3637) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #193.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3638)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_12 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3638) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3639)  all_6_12 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (517), (3639) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #192.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3640)   ~ (all_6_12 = e4)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3641)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3641) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3642)  all_6_12 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (3636), (3642) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #120.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3643)  all_6_12 = e3 | all_6_12 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3624) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3644)  all_6_5 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (429), (3644) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3645)  all_4_1 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3645) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3646)  all_4_1 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3646) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3647)   ~ (all_4_21 = e2)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3647) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3648)   ~ (all_4_21 = e2)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (3646) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3649)  op(e3, e4) = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3643) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3650)  all_6_12 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (478), (3650) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #175.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3651)  all_6_12 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (3651) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3652)  all_4_12 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3652) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3653)  all_4_12 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (3653) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3654)  op(e2, e2) = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3655)  all_6_9 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (511), (3655) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #25.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3656)   ~ (all_6_9 = e1)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3657)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3657) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3658)  all_6_9 = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3524), (3658) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #24.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3659)  all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1517) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3660)  all_8_16 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3510), (3660) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3661)  e4 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3661) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3662)  e4 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3519), (3662) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3663)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3663) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3664)  all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3664) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3665)  all_8_17 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (3665) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3666)  all_4_21 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3666) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3667)  all_4_21 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3648), (3667) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3668)   ~ (e2 = e0)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3667) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3669)  op(e3, e0) = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3670)  unit = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3670) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3671)  op(e1, e1) = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (515), (3671), (function-axioms) are
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #79.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3672)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3672) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3673)  unit = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (515), (3527), (3616), (3673),
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (function-axioms) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #94.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3674)  unit = e3 | unit = e2 | unit = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3674) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3675)  unit = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3675) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3676)  op(e2, e2) = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (3654), (3676), (function-axioms) are
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #110.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3677)  unit = e3 | unit = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3677) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3678)  unit = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3678) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3679)  op(e3, e4) = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (3678) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3680)  op(e4, e3) = e4
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3678) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3681)  op(e3, e3) = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e3,
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (3297), (3681) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3682)  e3 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e4, e4,
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (3649), (3679) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3683)  e4 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e4, e3,
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, simplifying with (3584), (3680) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3684)  e4 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3683), (3684) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3685)  e3 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3685) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3686)  e3 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3682), (3686) are inconsistent by sub-proof
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #76.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3687)  unit = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3688)   ~ (unit = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (3687) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3689)  op(e3, e0) = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e0,
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, simplifying with (3669), (3689) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3690)  e3 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3690) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3691)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3691) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3692)   ~ (all_8_17 = e0)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (3692) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3693)   ~ (all_4_21 = e0)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3659) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3694)  all_6_9 = e2
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3648), (3694) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #2.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3695)  all_6_9 = e3 | all_6_9 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (453), (3296), (3693), (3695) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3696)  all_6_5 = e3 | all_6_5 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (429), (470), (3513), (3696) are inconsistent by
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #103.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3697)   ~ (all_8_22 = e2)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (419), (3697) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3698)   ~ (all_4_14 = e2)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3699)  all_8_14 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (3699) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3700)  all_4_13 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3700) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3701)  all_4_13 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3701) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3702)   ~ (all_4_14 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3702) implies:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3703)   ~ (all_4_14 = e3)
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3704)  all_6_22 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3704) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3705)  all_4_14 = e1
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (3705) imply:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3706)  $false
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3706) is inconsistent.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3707)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (3551), (3600), (3698), (3703), (3707) are
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #142.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3708)  all_8_15 = e3 | all_8_19 = e3
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (465), (506), (3708) are inconsistent
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #156.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3709)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (445), (472), (483), (3609), (3709) are
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #106.
% 57.04/8.72  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3710)   ~ (all_6_16 = e2)
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (3710) imply:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3711)   ~ (all_4_8 = e2)
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3712)  all_8_3 = e2
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3284), (3712) imply:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3713)  e2 = e1
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3713) imply:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3714)  $false
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3714) is inconsistent.
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3715)  all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3715) gives:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3716)  all_8_7 = e2
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3559), (3716) imply:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3717)  e4 = e2
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3717) imply:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3718)  $false
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3718) is inconsistent.
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3719)  all_8_13 = e2 | all_8_21 = e2
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (407), (3596), (3711), (3719) are
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #1.
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (3720)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (21), (379), (466), (3292), (3510), (3720)
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #85.
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (3721)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (400), (403), (517), (3314), (3526), (3721)
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #12.
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | |   (3722)   ~ (all_8_9 = e2)
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (379), (3722) imply:
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | |   (3723)   ~ (all_4_15 = e2)
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (441), (495), (3292), (3522), (3534), (3723) are
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #31.
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | |   (3724)  all_10_20 = e0
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | COMBINE_EQS: (3320), (3724) imply:
% 57.04/8.73  | | | | | | | | | | | | | | |   (3725)  e1 = e0
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | SIMP: (3725) implies:
% 57.04/8.73  | | | | | | | | | | | | | | |   (3726)  e1 = e0
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | REDUCE: (515), (3726) imply:
% 57.04/8.73  | | | | | | | | | | | | | | |   (3727)  $false
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | | CLOSE: (3727) is inconsistent.
% 57.04/8.73  | | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | |   (3728)   ~ (all_8_20 = e1)
% 57.04/8.73  | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | REDUCE: (415), (3728) imply:
% 57.04/8.73  | | | | | | | | | | | | | |   (3729)   ~ (all_4_4 = e1)
% 57.04/8.73  | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | | REF_CLOSE: (17), (395), (405), (415), (507), (3309), (3729)
% 57.04/8.73  | | | | | | | | | | | | | |            are inconsistent by sub-proof #82.
% 57.04/8.73  | | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | Case 2:
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | |   (3730)  all_8_18 = e1
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | COMBINE_EQS: (400), (3730) imply:
% 57.04/8.73  | | | | | | | | | | | | |   (3731)  all_4_22 = e1
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | SIMP: (3731) implies:
% 57.04/8.73  | | | | | | | | | | | | |   (3732)  all_4_22 = e1
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | REDUCE: (512), (3732) imply:
% 57.04/8.73  | | | | | | | | | | | | |   (3733)  $false
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | | CLOSE: (3733) is inconsistent.
% 57.04/8.73  | | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | | 
% 57.04/8.73  | | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | | 
% 57.04/8.73  | | | | | | | | End of split
% 57.04/8.73  | | | | | | | | 
% 57.04/8.73  | | | | | | | End of split
% 57.04/8.73  | | | | | | | 
% 57.04/8.73  | | | | | | End of split
% 57.04/8.73  | | | | | | 
% 57.04/8.73  | | | | | End of split
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | Case 2:
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | |   (3734)  all_10_5 = e3
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | | COMBINE_EQS: (357), (3734) imply:
% 57.04/8.73  | | | | |   (3735)  all_4_1 = e3
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | | SIMP: (3735) implies:
% 57.04/8.73  | | | | |   (3736)  all_4_1 = e3
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | | REDUCE: (470), (3736) imply:
% 57.04/8.73  | | | | |   (3737)  $false
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | | CLOSE: (3737) is inconsistent.
% 57.04/8.73  | | | | | 
% 57.04/8.73  | | | | End of split
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | Case 2:
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | |   (3738)  all_10_1 = e4
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | COMBINE_EQS: (367), (3738) imply:
% 57.04/8.73  | | | |   (3739)  e4 = e1
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | SIMP: (3739) implies:
% 57.04/8.73  | | | |   (3740)  e4 = e1
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | REDUCE: (19), (3740) imply:
% 57.04/8.73  | | | |   (3741)  $false
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | CLOSE: (3741) is inconsistent.
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | End of split
% 57.04/8.73  | | | 
% 57.04/8.73  | | Case 2:
% 57.04/8.73  | | | 
% 57.04/8.73  | | |   (3742)  all_10_10 = e2
% 57.04/8.73  | | | 
% 57.04/8.73  | | | COMBINE_EQS: (342), (3742) imply:
% 57.04/8.73  | | |   (3743)  e3 = e2
% 57.04/8.73  | | | 
% 57.04/8.73  | | | SIMP: (3743) implies:
% 57.04/8.73  | | |   (3744)  e3 = e2
% 57.04/8.73  | | | 
% 57.04/8.73  | | | REDUCE: (18), (3744) imply:
% 57.04/8.73  | | |   (3745)  $false
% 57.04/8.73  | | | 
% 57.04/8.73  | | | CLOSE: (3745) is inconsistent.
% 57.04/8.73  | | | 
% 57.04/8.73  | | End of split
% 57.04/8.73  | | 
% 57.04/8.73  | End of split
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #1 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)  all_8_21 = e0
% 57.04/8.73    (2)   ~ (all_4_8 = e2)
% 57.04/8.73    (3)  all_8_13 = e2 | all_8_21 = e2
% 57.04/8.73    (4)  all_8_13 = all_4_8
% 57.04/8.73    (5)   ~ (e2 = e0)
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | BETA: splitting (3) gives:
% 57.04/8.73  | 
% 57.04/8.73  | Case 1:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (6)  all_8_13 = e2
% 57.04/8.73  | | 
% 57.04/8.73  | | COMBINE_EQS: (4), (6) imply:
% 57.04/8.73  | |   (7)  all_4_8 = e2
% 57.04/8.73  | | 
% 57.04/8.73  | | SIMP: (7) implies:
% 57.04/8.73  | |   (8)  all_4_8 = e2
% 57.04/8.73  | | 
% 57.04/8.73  | | REDUCE: (2), (8) imply:
% 57.04/8.73  | |   (9)  $false
% 57.04/8.73  | | 
% 57.04/8.73  | | CLOSE: (9) is inconsistent.
% 57.04/8.73  | | 
% 57.04/8.73  | Case 2:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (10)  all_8_21 = e2
% 57.04/8.73  | | 
% 57.04/8.73  | | COMBINE_EQS: (1), (10) imply:
% 57.04/8.73  | |   (11)  e2 = e0
% 57.04/8.73  | | 
% 57.04/8.73  | | REDUCE: (5), (11) imply:
% 57.04/8.73  | |   (12)  $false
% 57.04/8.73  | | 
% 57.04/8.73  | | CLOSE: (12) is inconsistent.
% 57.04/8.73  | | 
% 57.04/8.73  | End of split
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #2 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)  all_6_9 = all_4_21
% 57.04/8.73    (2)  all_6_9 = e2
% 57.04/8.73    (3)   ~ (all_4_21 = e2)
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.73  |   (4)  all_4_21 = e2
% 57.04/8.73  | 
% 57.04/8.73  | SIMP: (4) implies:
% 57.04/8.73  |   (5)  all_4_21 = e2
% 57.04/8.73  | 
% 57.04/8.73  | REDUCE: (3), (5) imply:
% 57.04/8.73  |   (6)  $false
% 57.04/8.73  | 
% 57.04/8.73  | CLOSE: (6) is inconsistent.
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #3 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)  all_8_0 = all_4_0
% 57.04/8.73    (2)  all_8_0 = e2
% 57.04/8.73    (3)   ~ (all_4_0 = e2)
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.73  |   (4)  all_4_0 = e2
% 57.04/8.73  | 
% 57.04/8.73  | SIMP: (4) implies:
% 57.04/8.73  |   (5)  all_4_0 = e2
% 57.04/8.73  | 
% 57.04/8.73  | REDUCE: (3), (5) imply:
% 57.04/8.73  |   (6)  $false
% 57.04/8.73  | 
% 57.04/8.73  | CLOSE: (6) is inconsistent.
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #4 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)   ~ (all_4_7 = e3)
% 57.04/8.73    (2)   ~ (all_4_7 = e2)
% 57.04/8.73    (3)   ~ (all_4_7 = e0)
% 57.04/8.73    (4)   ~ (all_4_7 = e4)
% 57.04/8.73    (5)  all_6_11 = all_4_7
% 57.04/8.73    (6)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | BETA: splitting (6) gives:
% 57.04/8.73  | 
% 57.04/8.73  | Case 1:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (7)  all_6_11 = e4
% 57.04/8.73  | | 
% 57.04/8.73  | | COMBINE_EQS: (5), (7) imply:
% 57.04/8.73  | |   (8)  all_4_7 = e4
% 57.04/8.73  | | 
% 57.04/8.73  | | REDUCE: (4), (8) imply:
% 57.04/8.73  | |   (9)  $false
% 57.04/8.73  | | 
% 57.04/8.73  | | CLOSE: (9) is inconsistent.
% 57.04/8.73  | | 
% 57.04/8.73  | Case 2:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (10)  all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0
% 57.04/8.73  | | 
% 57.04/8.73  | | BETA: splitting (10) gives:
% 57.04/8.73  | | 
% 57.04/8.73  | | Case 1:
% 57.04/8.73  | | | 
% 57.04/8.73  | | |   (11)  all_6_11 = e2
% 57.04/8.73  | | | 
% 57.04/8.73  | | | COMBINE_EQS: (5), (11) imply:
% 57.04/8.73  | | |   (12)  all_4_7 = e2
% 57.04/8.73  | | | 
% 57.04/8.73  | | | SIMP: (12) implies:
% 57.04/8.73  | | |   (13)  all_4_7 = e2
% 57.04/8.73  | | | 
% 57.04/8.73  | | | REDUCE: (2), (13) imply:
% 57.04/8.73  | | |   (14)  $false
% 57.04/8.73  | | | 
% 57.04/8.73  | | | CLOSE: (14) is inconsistent.
% 57.04/8.73  | | | 
% 57.04/8.73  | | Case 2:
% 57.04/8.73  | | | 
% 57.04/8.73  | | |   (15)  all_6_11 = e3 | all_6_11 = e0
% 57.04/8.73  | | | 
% 57.04/8.73  | | | BETA: splitting (15) gives:
% 57.04/8.73  | | | 
% 57.04/8.73  | | | Case 1:
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | |   (16)  all_6_11 = e3
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | COMBINE_EQS: (5), (16) imply:
% 57.04/8.73  | | | |   (17)  all_4_7 = e3
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | SIMP: (17) implies:
% 57.04/8.73  | | | |   (18)  all_4_7 = e3
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | REDUCE: (1), (18) imply:
% 57.04/8.73  | | | |   (19)  $false
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | CLOSE: (19) is inconsistent.
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | Case 2:
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | |   (20)  all_6_11 = e0
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | COMBINE_EQS: (5), (20) imply:
% 57.04/8.73  | | | |   (21)  all_4_7 = e0
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | SIMP: (21) implies:
% 57.04/8.73  | | | |   (22)  all_4_7 = e0
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | REDUCE: (3), (22) imply:
% 57.04/8.73  | | | |   (23)  $false
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | | CLOSE: (23) is inconsistent.
% 57.04/8.73  | | | | 
% 57.04/8.73  | | | End of split
% 57.04/8.73  | | | 
% 57.04/8.73  | | End of split
% 57.04/8.73  | | 
% 57.04/8.73  | End of split
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #5 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)   ~ (all_4_16 = e0)
% 57.04/8.73    (2)  all_6_3 = all_4_15
% 57.04/8.73    (3)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.04/8.73    (4)  all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | all_8_21 =
% 57.04/8.73         e3
% 57.04/8.73    (5)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 57.04/8.73    (6)   ~ (all_4_5 = all_4_15)
% 57.04/8.73    (7)  all_6_8 = all_4_16
% 57.04/8.73    (8)   ~ (all_4_15 = all_4_16)
% 57.04/8.73    (9)   ~ (all_4_5 = e0)
% 57.04/8.73    (10)   ~ (all_4_16 = e4)
% 57.04/8.73    (11)   ~ (all_4_5 = e4)
% 57.04/8.73    (12)   ~ (all_4_15 = e4)
% 57.04/8.73    (13)  all_6_1 = all_4_5
% 57.04/8.73    (14)   ~ (all_4_15 = e1)
% 57.04/8.73    (15)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.73    (16)   ~ (all_4_15 = e0)
% 57.04/8.73    (17)  all_8_1 = all_4_5
% 57.04/8.73    (18)   ~ (all_4_16 = e3)
% 57.04/8.73    (19)   ~ (all_4_5 = e2)
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | BETA: splitting (15) gives:
% 57.04/8.73  | 
% 57.04/8.73  | Case 1:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (20)  all_6_8 = e4
% 57.04/8.73  | | 
% 57.04/8.73  | | REF_CLOSE: (7), (10), (20) are inconsistent by sub-proof #68.
% 57.04/8.73  | | 
% 57.04/8.73  | Case 2:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (21)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.73  | | 
% 57.04/8.73  | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 57.04/8.73  | |            (14), (16), (17), (18), (19), (21) are inconsistent by sub-proof
% 57.04/8.73  | |            #6.
% 57.04/8.73  | | 
% 57.04/8.73  | End of split
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #6 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)   ~ (all_4_16 = e0)
% 57.04/8.73    (2)  all_6_3 = all_4_15
% 57.04/8.73    (3)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.04/8.73    (4)  all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | all_8_21 =
% 57.04/8.73         e3
% 57.04/8.73    (5)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 57.04/8.73    (6)   ~ (all_4_5 = all_4_15)
% 57.04/8.73    (7)  all_6_8 = all_4_16
% 57.04/8.73    (8)   ~ (all_4_15 = all_4_16)
% 57.04/8.73    (9)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.73    (10)   ~ (all_4_5 = e0)
% 57.04/8.73    (11)   ~ (all_4_5 = e4)
% 57.04/8.73    (12)   ~ (all_4_15 = e4)
% 57.04/8.73    (13)  all_6_1 = all_4_5
% 57.04/8.73    (14)   ~ (all_4_15 = e1)
% 57.04/8.73    (15)   ~ (all_4_15 = e0)
% 57.04/8.73    (16)  all_8_1 = all_4_5
% 57.04/8.73    (17)   ~ (all_4_16 = e3)
% 57.04/8.73    (18)   ~ (all_4_5 = e2)
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | BETA: splitting (4) gives:
% 57.04/8.73  | 
% 57.04/8.73  | Case 1:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (19)  all_8_1 = e3
% 57.04/8.73  | | 
% 57.04/8.73  | | COMBINE_EQS: (16), (19) imply:
% 57.04/8.73  | |   (20)  all_4_5 = e3
% 57.04/8.73  | | 
% 57.04/8.73  | | SIMP: (20) implies:
% 57.04/8.73  | |   (21)  all_4_5 = e3
% 57.04/8.73  | | 
% 57.04/8.73  | | REDUCE: (6), (21) imply:
% 57.04/8.73  | |   (22)   ~ (all_4_15 = e3)
% 57.04/8.73  | | 
% 57.04/8.73  | | SIMP: (22) implies:
% 57.04/8.73  | |   (23)   ~ (all_4_15 = e3)
% 57.04/8.73  | | 
% 57.04/8.73  | | REF_CLOSE: (1), (2), (5), (7), (8), (9), (12), (14), (15), (17), (23) are
% 57.04/8.73  | |            inconsistent by sub-proof #9.
% 57.04/8.73  | | 
% 57.04/8.73  | Case 2:
% 57.04/8.73  | | 
% 57.04/8.73  | |   (24)   ~ (all_8_1 = e3)
% 57.04/8.73  | | 
% 57.04/8.73  | | REDUCE: (16), (24) imply:
% 57.04/8.73  | |   (25)   ~ (all_4_5 = e3)
% 57.04/8.73  | | 
% 57.04/8.73  | | REF_CLOSE: (3), (10), (11), (13), (18), (25) are inconsistent by sub-proof
% 57.04/8.73  | |            #11.
% 57.04/8.73  | | 
% 57.04/8.73  | End of split
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #7 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)   ~ (e3 = e1)
% 57.04/8.73    (2)  op(e4, e2) = e1
% 57.04/8.73    (3)  op(e4, e2) = e4
% 57.04/8.73    (4)  op(e3, e2) = e3
% 57.04/8.73    (5)  op(e3, e2) = e4
% 57.04/8.73    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.04/8.73           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.04/8.73  
% 57.04/8.73  Begin of proof
% 57.04/8.73  | 
% 57.04/8.73  | GROUND_INST: instantiating (6) with e4, e3, e2, e3, simplifying with (4), (5)
% 57.04/8.73  |              gives:
% 57.04/8.73  |   (7)  e4 = e3
% 57.04/8.73  | 
% 57.04/8.73  | GROUND_INST: instantiating (6) with e1, e4, e2, e4, simplifying with (2), (3)
% 57.04/8.73  |              gives:
% 57.04/8.73  |   (8)  e4 = e1
% 57.04/8.73  | 
% 57.04/8.73  | COMBINE_EQS: (7), (8) imply:
% 57.04/8.73  |   (9)  e3 = e1
% 57.04/8.73  | 
% 57.04/8.73  | SIMP: (9) implies:
% 57.04/8.73  |   (10)  e3 = e1
% 57.04/8.73  | 
% 57.04/8.73  | REDUCE: (1), (10) imply:
% 57.04/8.73  |   (11)  $false
% 57.04/8.73  | 
% 57.04/8.73  | CLOSE: (11) is inconsistent.
% 57.04/8.73  | 
% 57.04/8.73  End of proof
% 57.04/8.73  
% 57.04/8.73  Sub-proof #8 shows that the following formulas are inconsistent:
% 57.04/8.73  ----------------------------------------------------------------
% 57.04/8.73    (1)   ~ (all_4_16 = e0)
% 57.04/8.73    (2)  all_6_3 = all_4_15
% 57.04/8.73    (3)  all_10_0 = all_4_5
% 57.04/8.73    (4)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 57.04/8.73    (5)  all_6_8 = all_4_16
% 57.04/8.73    (6)   ~ (all_4_15 = all_4_16)
% 57.04/8.73    (7)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.73    (8)   ~ (all_4_5 = e1)
% 57.04/8.73    (9)  all_10_2 = all_4_15
% 57.04/8.73    (10)   ~ (all_4_15 = e4)
% 57.04/8.73    (11)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit = e3))
% 57.04/8.73    (12)   ~ (all_4_15 = e1)
% 57.04/8.73    (13)   ~ (all_4_15 = e0)
% 57.04/8.74    (14)   ~ (all_4_16 = e3)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (11) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (15)   ~ (all_10_2 = e3)
% 57.04/8.74  | | 
% 57.04/8.74  | | REDUCE: (9), (15) imply:
% 57.04/8.74  | |   (16)   ~ (all_4_15 = e3)
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (10), (12), (13), (14), (16) are
% 57.04/8.74  | |            inconsistent by sub-proof #9.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (17)  all_10_0 = e1 &  ~ (unit = e3)
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (3), (8), (17) are inconsistent by sub-proof #21.
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #9 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)   ~ (all_4_16 = e0)
% 57.04/8.74    (2)  all_6_3 = all_4_15
% 57.04/8.74    (3)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 57.04/8.74    (4)  all_6_8 = all_4_16
% 57.04/8.74    (5)   ~ (all_4_15 = all_4_16)
% 57.04/8.74    (6)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.74    (7)   ~ (all_4_15 = e4)
% 57.04/8.74    (8)   ~ (all_4_15 = e1)
% 57.04/8.74    (9)   ~ (all_4_15 = e0)
% 57.04/8.74    (10)   ~ (all_4_16 = e3)
% 57.04/8.74    (11)   ~ (all_4_15 = e3)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (3) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (12)  all_6_3 = e1
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (2), (8), (12) are inconsistent by sub-proof #168.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (13)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9), (10), (11), (13) are
% 57.04/8.74  | |            inconsistent by sub-proof #18.
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #10 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_8_9 = all_4_15
% 57.04/8.74    (2)  all_8_9 = e4
% 57.04/8.74    (3)   ~ (all_4_15 = e4)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.74  |   (4)  all_4_15 = e4
% 57.04/8.74  | 
% 57.04/8.74  | SIMP: (4) implies:
% 57.04/8.74  |   (5)  all_4_15 = e4
% 57.04/8.74  | 
% 57.04/8.74  | REDUCE: (3), (5) imply:
% 57.04/8.74  |   (6)  $false
% 57.04/8.74  | 
% 57.04/8.74  | CLOSE: (6) is inconsistent.
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #11 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.04/8.74    (2)   ~ (all_4_5 = e0)
% 57.04/8.74    (3)   ~ (all_4_5 = e4)
% 57.04/8.74    (4)   ~ (all_4_5 = e3)
% 57.04/8.74    (5)  all_6_1 = all_4_5
% 57.04/8.74    (6)   ~ (all_4_5 = e2)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (1) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (7)  all_6_1 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #116.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (8)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | BETA: splitting (8) gives:
% 57.04/8.74  | | 
% 57.04/8.74  | | Case 1:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (9)  all_6_1 = e2
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #28.
% 57.04/8.74  | | | 
% 57.04/8.74  | | Case 2:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (10)  all_6_1 = e3 | all_6_1 = e0
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REF_CLOSE: (2), (4), (5), (10) are inconsistent by sub-proof #99.
% 57.04/8.74  | | | 
% 57.04/8.74  | | End of split
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #12 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_8_8 = all_4_12
% 57.04/8.74    (2)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 57.04/8.74    (3)   ~ (all_4_22 = e4)
% 57.04/8.74    (4)  all_8_11 = e1
% 57.04/8.74    (5)  all_8_18 = all_4_22
% 57.04/8.74    (6)   ~ (all_4_12 = e4)
% 57.04/8.74    (7)   ~ (e4 = e1)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (2) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (8)  all_8_8 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | COMBINE_EQS: (1), (8) imply:
% 57.04/8.74  | |   (9)  all_4_12 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | REDUCE: (6), (9) imply:
% 57.04/8.74  | |   (10)  $false
% 57.04/8.74  | | 
% 57.04/8.74  | | CLOSE: (10) is inconsistent.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (11)  all_8_11 = e4 | all_8_18 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | BETA: splitting (11) gives:
% 57.04/8.74  | | 
% 57.04/8.74  | | Case 1:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (12)  all_8_11 = e4
% 57.04/8.74  | | | 
% 57.04/8.74  | | | COMBINE_EQS: (4), (12) imply:
% 57.04/8.74  | | |   (13)  e4 = e1
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REDUCE: (7), (13) imply:
% 57.04/8.74  | | |   (14)  $false
% 57.04/8.74  | | | 
% 57.04/8.74  | | | CLOSE: (14) is inconsistent.
% 57.04/8.74  | | | 
% 57.04/8.74  | | Case 2:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (15)  all_8_18 = e4
% 57.04/8.74  | | | 
% 57.04/8.74  | | | COMBINE_EQS: (5), (15) imply:
% 57.04/8.74  | | |   (16)  all_4_22 = e4
% 57.04/8.74  | | | 
% 57.04/8.74  | | | SIMP: (16) implies:
% 57.04/8.74  | | |   (17)  all_4_22 = e4
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REDUCE: (3), (17) imply:
% 57.04/8.74  | | |   (18)  $false
% 57.04/8.74  | | | 
% 57.04/8.74  | | | CLOSE: (18) is inconsistent.
% 57.04/8.74  | | | 
% 57.04/8.74  | | End of split
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #13 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_8_1 = all_4_5
% 57.04/8.74    (2)  all_8_1 = e4
% 57.04/8.74    (3)   ~ (all_4_5 = e4)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.74  |   (4)  all_4_5 = e4
% 57.04/8.74  | 
% 57.04/8.74  | SIMP: (4) implies:
% 57.04/8.74  |   (5)  all_4_5 = e4
% 57.04/8.74  | 
% 57.04/8.74  | REDUCE: (3), (5) imply:
% 57.04/8.74  |   (6)  $false
% 57.04/8.74  | 
% 57.04/8.74  | CLOSE: (6) is inconsistent.
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #14 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_6_9 = e3 | all_6_9 = e0
% 57.04/8.74    (2)  all_6_9 = all_4_21
% 57.04/8.74    (3)   ~ (all_4_21 = e3)
% 57.04/8.74    (4)   ~ (all_4_21 = e0)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (1) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (5)  all_6_9 = e3
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #15.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (6)  all_6_9 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | COMBINE_EQS: (2), (6) imply:
% 57.04/8.74  | |   (7)  all_4_21 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | SIMP: (7) implies:
% 57.04/8.74  | |   (8)  all_4_21 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | REDUCE: (4), (8) imply:
% 57.04/8.74  | |   (9)  $false
% 57.04/8.74  | | 
% 57.04/8.74  | | CLOSE: (9) is inconsistent.
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #15 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_6_9 = all_4_21
% 57.04/8.74    (2)  all_6_9 = e3
% 57.04/8.74    (3)   ~ (all_4_21 = e3)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.74  |   (4)  all_4_21 = e3
% 57.04/8.74  | 
% 57.04/8.74  | SIMP: (4) implies:
% 57.04/8.74  |   (5)  all_4_21 = e3
% 57.04/8.74  | 
% 57.04/8.74  | REDUCE: (3), (5) imply:
% 57.04/8.74  |   (6)  $false
% 57.04/8.74  | 
% 57.04/8.74  | CLOSE: (6) is inconsistent.
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #16 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)   ~ (all_4_16 = e0)
% 57.04/8.74    (2)   ~ (all_4_15 = all_4_19)
% 57.04/8.74    (3)  all_6_3 = all_4_15
% 57.04/8.74    (4)   ~ (all_8_9 = e3)
% 57.04/8.74    (5)   ~ (all_4_17 = all_4_19)
% 57.04/8.74    (6)   ~ (all_4_19 = e3)
% 57.04/8.74    (7)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 57.04/8.74    (8)  all_6_8 = all_4_16
% 57.04/8.74    (9)   ~ (all_4_15 = all_4_16)
% 57.04/8.74    (10)   ~ (all_4_16 = all_4_17)
% 57.04/8.74    (11)   ~ (all_4_15 = all_4_17)
% 57.04/8.74    (12)   ~ (all_4_19 = e4)
% 57.04/8.74    (13)   ~ (all_4_15 = e4)
% 57.04/8.74    (14)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 | all_6_23
% 57.04/8.74          = e0
% 57.04/8.74    (15)   ~ (all_4_19 = e0)
% 57.04/8.74    (16)   ~ (all_4_17 = e0)
% 57.04/8.74    (17)   ~ (all_4_15 = e1)
% 57.04/8.74    (18)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 57.04/8.74    (19)  all_6_13 = all_4_17
% 57.04/8.74    (20)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13
% 57.04/8.74          = e0
% 57.04/8.74    (21)  all_8_9 = all_4_15
% 57.04/8.74    (22)   ~ (all_4_16 = all_4_19)
% 57.04/8.74    (23)   ~ (all_4_15 = e0)
% 57.04/8.74    (24)   ~ (all_4_16 = e3)
% 57.04/8.74    (25)  all_6_23 = all_4_19
% 57.04/8.74    (26)   ~ (all_4_17 = e3)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | REDUCE: (4), (21) imply:
% 57.04/8.74  |   (27)   ~ (all_4_15 = e3)
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (7) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (28)  all_6_3 = e1
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (3), (17), (28) are inconsistent by sub-proof #168.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (29)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | BETA: splitting (29) gives:
% 57.04/8.74  | | 
% 57.04/8.74  | | Case 1:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (30)  all_6_3 = e4
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REF_CLOSE: (3), (13), (30) are inconsistent by sub-proof #167.
% 57.04/8.74  | | | 
% 57.04/8.74  | | Case 2:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (31)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.74  | | | 
% 57.04/8.74  | | | BETA: splitting (31) gives:
% 57.04/8.74  | | | 
% 57.04/8.74  | | | Case 1:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | |   (32)  all_6_3 = e2
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | COMBINE_EQS: (3), (32) imply:
% 57.04/8.74  | | | |   (33)  all_4_15 = e2
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | SIMP: (33) implies:
% 57.04/8.74  | | | |   (34)  all_4_15 = e2
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REDUCE: (11), (34) imply:
% 57.04/8.74  | | | |   (35)   ~ (all_4_17 = e2)
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | SIMP: (35) implies:
% 57.04/8.74  | | | |   (36)   ~ (all_4_17 = e2)
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REDUCE: (2), (34) imply:
% 57.04/8.74  | | | |   (37)   ~ (all_4_19 = e2)
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | SIMP: (37) implies:
% 57.04/8.74  | | | |   (38)   ~ (all_4_19 = e2)
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | BETA: splitting (14) gives:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | Case 1:
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | |   (39)  all_6_23 = e1
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | COMBINE_EQS: (25), (39) imply:
% 57.04/8.74  | | | | |   (40)  all_4_19 = e1
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | SIMP: (40) implies:
% 57.04/8.74  | | | | |   (41)  all_4_19 = e1
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | REDUCE: (22), (41) imply:
% 57.04/8.74  | | | | |   (42)   ~ (all_4_16 = e1)
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | REDUCE: (5), (41) imply:
% 57.04/8.74  | | | | |   (43)   ~ (all_4_17 = e1)
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | BETA: splitting (20) gives:
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | Case 1:
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | |   (44)  all_6_13 = e1
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | | REF_CLOSE: (19), (43), (44) are inconsistent by sub-proof #165.
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | Case 2:
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | |   (45)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 =
% 57.04/8.74  | | | | | |         e0
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | | REF_CLOSE: (1), (3), (8), (9), (10), (11), (16), (18), (19), (23),
% 57.04/8.74  | | | | | |            (24), (26), (27), (29), (36), (42), (45) are inconsistent
% 57.04/8.74  | | | | | |            by sub-proof #17.
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | End of split
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | Case 2:
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | |   (46)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | BETA: splitting (46) gives:
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | | Case 1:
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | |   (47)  all_6_23 = e4
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | | COMBINE_EQS: (25), (47) imply:
% 57.04/8.74  | | | | | |   (48)  all_4_19 = e4
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | | REDUCE: (12), (48) imply:
% 57.04/8.74  | | | | | |   (49)  $false
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | | CLOSE: (49) is inconsistent.
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | Case 2:
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | |   (50)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | | REF_CLOSE: (6), (15), (25), (38), (50) are inconsistent by sub-proof
% 57.04/8.74  | | | | | |            #114.
% 57.04/8.74  | | | | | | 
% 57.04/8.74  | | | | | End of split
% 57.04/8.74  | | | | | 
% 57.04/8.74  | | | | End of split
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | Case 2:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | |   (51)  all_6_3 = e3 | all_6_3 = e0
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REF_CLOSE: (3), (23), (27), (51) are inconsistent by sub-proof #32.
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | End of split
% 57.04/8.74  | | | 
% 57.04/8.74  | | End of split
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #17 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)   ~ (all_4_16 = e0)
% 57.04/8.74    (2)  all_6_3 = all_4_15
% 57.04/8.74    (3)  all_6_8 = all_4_16
% 57.04/8.74    (4)   ~ (all_4_15 = all_4_16)
% 57.04/8.74    (5)   ~ (all_4_16 = all_4_17)
% 57.04/8.74    (6)   ~ (all_4_15 = all_4_17)
% 57.04/8.74    (7)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 57.04/8.74    (8)   ~ (all_4_17 = e0)
% 57.04/8.74    (9)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 57.04/8.74    (10)  all_6_13 = all_4_17
% 57.04/8.74    (11)   ~ (all_4_16 = e1)
% 57.04/8.74    (12)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.74    (13)   ~ (all_4_17 = e2)
% 57.04/8.74    (14)   ~ (all_4_15 = e0)
% 57.04/8.74    (15)   ~ (all_4_16 = e3)
% 57.04/8.74    (16)   ~ (all_4_17 = e3)
% 57.04/8.74    (17)   ~ (all_4_15 = e3)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (7) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (18)  all_6_13 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | COMBINE_EQS: (10), (18) imply:
% 57.04/8.74  | |   (19)  all_4_17 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | SIMP: (19) implies:
% 57.04/8.74  | |   (20)  all_4_17 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | REDUCE: (6), (20) imply:
% 57.04/8.74  | |   (21)   ~ (all_4_15 = e4)
% 57.04/8.74  | | 
% 57.04/8.74  | | REDUCE: (5), (20) imply:
% 57.04/8.74  | |   (22)   ~ (all_4_16 = e4)
% 57.04/8.74  | | 
% 57.04/8.74  | | BETA: splitting (9) gives:
% 57.04/8.74  | | 
% 57.04/8.74  | | Case 1:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (23)  all_6_8 = e1
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REF_CLOSE: (3), (11), (23) are inconsistent by sub-proof #19.
% 57.04/8.74  | | | 
% 57.04/8.74  | | Case 2:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (24)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.74  | | | 
% 57.04/8.74  | | | BETA: splitting (24) gives:
% 57.04/8.74  | | | 
% 57.04/8.74  | | | Case 1:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | |   (25)  all_6_8 = e4
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REF_CLOSE: (3), (22), (25) are inconsistent by sub-proof #68.
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | Case 2:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | |   (26)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REF_CLOSE: (1), (2), (3), (4), (12), (14), (15), (17), (21), (26) are
% 57.04/8.74  | | | |            inconsistent by sub-proof #18.
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | End of split
% 57.04/8.74  | | | 
% 57.04/8.74  | | End of split
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (27)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (8), (10), (13), (16), (27) are inconsistent by sub-proof #134.
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #18 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)   ~ (all_4_16 = e0)
% 57.04/8.74    (2)  all_6_3 = all_4_15
% 57.04/8.74    (3)  all_6_8 = all_4_16
% 57.04/8.74    (4)   ~ (all_4_15 = all_4_16)
% 57.04/8.74    (5)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 57.04/8.74    (6)   ~ (all_4_15 = e4)
% 57.04/8.74    (7)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.74    (8)   ~ (all_4_15 = e0)
% 57.04/8.74    (9)   ~ (all_4_16 = e3)
% 57.04/8.74    (10)   ~ (all_4_15 = e3)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (7) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (11)  all_6_3 = e4
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (2), (6), (11) are inconsistent by sub-proof #167.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (12)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | BETA: splitting (12) gives:
% 57.04/8.74  | | 
% 57.04/8.74  | | Case 1:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (13)  all_6_3 = e2
% 57.04/8.74  | | | 
% 57.04/8.74  | | | COMBINE_EQS: (2), (13) imply:
% 57.04/8.74  | | |   (14)  all_4_15 = e2
% 57.04/8.74  | | | 
% 57.04/8.74  | | | SIMP: (14) implies:
% 57.04/8.74  | | |   (15)  all_4_15 = e2
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REDUCE: (4), (15) imply:
% 57.04/8.74  | | |   (16)   ~ (all_4_16 = e2)
% 57.04/8.74  | | | 
% 57.04/8.74  | | | SIMP: (16) implies:
% 57.04/8.74  | | |   (17)   ~ (all_4_16 = e2)
% 57.04/8.74  | | | 
% 57.04/8.74  | | | BETA: splitting (5) gives:
% 57.04/8.74  | | | 
% 57.04/8.74  | | | Case 1:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | |   (18)  all_6_8 = e2
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | COMBINE_EQS: (3), (18) imply:
% 57.04/8.74  | | | |   (19)  all_4_16 = e2
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | SIMP: (19) implies:
% 57.04/8.74  | | | |   (20)  all_4_16 = e2
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REDUCE: (17), (20) imply:
% 57.04/8.74  | | | |   (21)  $false
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | CLOSE: (21) is inconsistent.
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | Case 2:
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | |   (22)  all_6_8 = e3 | all_6_8 = e0
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | | REF_CLOSE: (1), (3), (9), (22) are inconsistent by sub-proof #65.
% 57.04/8.74  | | | | 
% 57.04/8.74  | | | End of split
% 57.04/8.74  | | | 
% 57.04/8.74  | | Case 2:
% 57.04/8.74  | | | 
% 57.04/8.74  | | |   (23)  all_6_3 = e3 | all_6_3 = e0
% 57.04/8.74  | | | 
% 57.04/8.74  | | | REF_CLOSE: (2), (8), (10), (23) are inconsistent by sub-proof #32.
% 57.04/8.74  | | | 
% 57.04/8.74  | | End of split
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #19 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_6_8 = all_4_16
% 57.04/8.74    (2)  all_6_8 = e1
% 57.04/8.74    (3)   ~ (all_4_16 = e1)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.74  |   (4)  all_4_16 = e1
% 57.04/8.74  | 
% 57.04/8.74  | SIMP: (4) implies:
% 57.04/8.74  |   (5)  all_4_16 = e1
% 57.04/8.74  | 
% 57.04/8.74  | REDUCE: (3), (5) imply:
% 57.04/8.74  |   (6)  $false
% 57.04/8.74  | 
% 57.04/8.74  | CLOSE: (6) is inconsistent.
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #20 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)   ~ (all_4_8 = e1)
% 57.04/8.74    (2)  all_8_21 = e0
% 57.04/8.74    (3)  all_8_13 = e1 | all_8_21 = e1
% 57.04/8.74    (4)   ~ (e1 = e0)
% 57.04/8.74    (5)  all_8_13 = all_4_8
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | BETA: splitting (3) gives:
% 57.04/8.74  | 
% 57.04/8.74  | Case 1:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (6)  all_8_13 = e1
% 57.04/8.74  | | 
% 57.04/8.74  | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #61.
% 57.04/8.74  | | 
% 57.04/8.74  | Case 2:
% 57.04/8.74  | | 
% 57.04/8.74  | |   (7)  all_8_21 = e1
% 57.04/8.74  | | 
% 57.04/8.74  | | COMBINE_EQS: (2), (7) imply:
% 57.04/8.74  | |   (8)  e1 = e0
% 57.04/8.74  | | 
% 57.04/8.74  | | REDUCE: (4), (8) imply:
% 57.04/8.74  | |   (9)  $false
% 57.04/8.74  | | 
% 57.04/8.74  | | CLOSE: (9) is inconsistent.
% 57.04/8.74  | | 
% 57.04/8.74  | End of split
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #21 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)  all_10_0 = e1 &  ~ (unit = e3)
% 57.04/8.74    (2)  all_10_0 = all_4_5
% 57.04/8.74    (3)   ~ (all_4_5 = e1)
% 57.04/8.74  
% 57.04/8.74  Begin of proof
% 57.04/8.74  | 
% 57.04/8.74  | ALPHA: (1) implies:
% 57.04/8.74  |   (4)  all_10_0 = e1
% 57.04/8.74  | 
% 57.04/8.74  | COMBINE_EQS: (2), (4) imply:
% 57.04/8.74  |   (5)  all_4_5 = e1
% 57.04/8.74  | 
% 57.04/8.74  | REDUCE: (3), (5) imply:
% 57.04/8.74  |   (6)  $false
% 57.04/8.74  | 
% 57.04/8.74  | CLOSE: (6) is inconsistent.
% 57.04/8.74  | 
% 57.04/8.74  End of proof
% 57.04/8.74  
% 57.04/8.74  Sub-proof #22 shows that the following formulas are inconsistent:
% 57.04/8.74  ----------------------------------------------------------------
% 57.04/8.74    (1)   ~ (all_4_3 = e0)
% 57.04/8.74    (2)   ~ (all_4_4 = e4)
% 57.04/8.74    (3)   ~ (all_4_1 = e0)
% 57.04/8.74    (4)  all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 =
% 57.04/8.74         e0
% 57.04/8.74    (5)  all_8_20 = all_4_4
% 57.04/8.74    (6)   ~ (e3 = e2)
% 57.04/8.74    (7)  all_8_12 = all_4_3
% 57.04/8.74    (8)  all_8_6 = e3
% 57.04/8.74    (9)   ~ (e4 = e0)
% 57.04/8.74    (10)   ~ (e3 = e0)
% 57.04/8.74    (11)   ~ (all_4_4 = e2)
% 57.04/8.74    (12)   ~ (all_4_4 = e0)
% 57.04/8.74    (13)  all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 57.04/8.74    (14)   ~ (e4 = e3)
% 57.04/8.74    (15)  all_8_0 = e4 | all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20 =
% 57.04/8.74          e4
% 57.04/8.74    (16)   ~ (e4 = e2)
% 57.04/8.74    (17)  all_8_2 = all_4_1
% 57.04/8.74    (18)  all_8_2 = e1
% 57.04/8.75    (19)   ~ (e4 = e1)
% 57.04/8.75  
% 57.04/8.75  Begin of proof
% 57.04/8.75  | 
% 57.04/8.75  | BETA: splitting (13) gives:
% 57.04/8.75  | 
% 57.04/8.75  | Case 1:
% 57.04/8.75  | | 
% 57.04/8.75  | |   (20)  all_8_6 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | COMBINE_EQS: (8), (20) imply:
% 57.04/8.75  | |   (21)  e3 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | SIMP: (21) implies:
% 57.04/8.75  | |   (22)  e3 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | REDUCE: (6), (22) imply:
% 57.04/8.75  | |   (23)  $false
% 57.04/8.75  | | 
% 57.04/8.75  | | CLOSE: (23) is inconsistent.
% 57.04/8.75  | | 
% 57.04/8.75  | Case 2:
% 57.04/8.75  | | 
% 57.04/8.75  | |   (24)  all_8_12 = e2 | all_8_20 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14),
% 57.04/8.75  | |            (15), (16), (17), (18), (19), (24) are inconsistent by sub-proof
% 57.04/8.75  | |            #23.
% 57.04/8.75  | | 
% 57.04/8.75  | End of split
% 57.04/8.75  | 
% 57.04/8.75  End of proof
% 57.04/8.75  
% 57.04/8.75  Sub-proof #23 shows that the following formulas are inconsistent:
% 57.04/8.75  ----------------------------------------------------------------
% 57.04/8.75    (1)   ~ (all_4_3 = e0)
% 57.04/8.75    (2)   ~ (all_4_4 = e4)
% 57.04/8.75    (3)   ~ (all_4_1 = e0)
% 57.04/8.75    (4)  all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 =
% 57.04/8.75         e0
% 57.04/8.75    (5)  all_8_20 = all_4_4
% 57.04/8.75    (6)  all_8_12 = all_4_3
% 57.04/8.75    (7)  all_8_6 = e3
% 57.04/8.75    (8)   ~ (e4 = e0)
% 57.04/8.75    (9)   ~ (e3 = e0)
% 57.04/8.75    (10)   ~ (all_4_4 = e2)
% 57.04/8.75    (11)   ~ (all_4_4 = e0)
% 57.04/8.75    (12)   ~ (e4 = e3)
% 57.04/8.75    (13)  all_8_0 = e4 | all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20 =
% 57.04/8.75          e4
% 57.04/8.75    (14)  all_8_12 = e2 | all_8_20 = e2
% 57.04/8.75    (15)   ~ (e4 = e2)
% 57.04/8.75    (16)  all_8_2 = all_4_1
% 57.04/8.75    (17)  all_8_2 = e1
% 57.04/8.75    (18)   ~ (e4 = e1)
% 57.04/8.75  
% 57.04/8.75  Begin of proof
% 57.04/8.75  | 
% 57.04/8.75  | BETA: splitting (14) gives:
% 57.04/8.75  | 
% 57.04/8.75  | Case 1:
% 57.04/8.75  | | 
% 57.04/8.75  | |   (19)  all_8_12 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | BETA: splitting (13) gives:
% 57.04/8.75  | | 
% 57.04/8.75  | | Case 1:
% 57.04/8.75  | | | 
% 57.04/8.75  | | |   (20)  all_8_0 = e4
% 57.04/8.75  | | | 
% 57.04/8.75  | | | BETA: splitting (4) gives:
% 57.04/8.75  | | | 
% 57.04/8.75  | | | Case 1:
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | |   (21)  all_8_0 = e0
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | REF_CLOSE: (8), (20), (21) are inconsistent by sub-proof #184.
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | Case 2:
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | |   (22)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (11), (16), (22) are
% 57.04/8.75  | | | |            inconsistent by sub-proof #180.
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | End of split
% 57.04/8.75  | | | 
% 57.04/8.75  | | Case 2:
% 57.04/8.75  | | | 
% 57.04/8.75  | | |   (23)  all_8_2 = e4 | all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4
% 57.04/8.75  | | | 
% 57.04/8.75  | | | BETA: splitting (23) gives:
% 57.04/8.75  | | | 
% 57.04/8.75  | | | Case 1:
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | |   (24)  all_8_2 = e4
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | COMBINE_EQS: (17), (24) imply:
% 57.04/8.75  | | | |   (25)  e4 = e1
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | REDUCE: (18), (25) imply:
% 57.04/8.75  | | | |   (26)  $false
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | CLOSE: (26) is inconsistent.
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | Case 2:
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | |   (27)  all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | BETA: splitting (27) gives:
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | | Case 1:
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | |   (28)  all_8_6 = e4
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | | REF_CLOSE: (7), (12), (28) are inconsistent by sub-proof #47.
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | Case 2:
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | |   (29)  all_8_12 = e4 | all_8_20 = e4
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | | BETA: splitting (29) gives:
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | | Case 1:
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | |   (30)  all_8_12 = e4
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | COMBINE_EQS: (19), (30) imply:
% 57.04/8.75  | | | | | |   (31)  e4 = e2
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | REDUCE: (15), (31) imply:
% 57.04/8.75  | | | | | |   (32)  $false
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | CLOSE: (32) is inconsistent.
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | Case 2:
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | |   (33)  all_8_20 = e4
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | COMBINE_EQS: (5), (33) imply:
% 57.04/8.75  | | | | | |   (34)  all_4_4 = e4
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | SIMP: (34) implies:
% 57.04/8.75  | | | | | |   (35)  all_4_4 = e4
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | REDUCE: (2), (35) imply:
% 57.04/8.75  | | | | | |   (36)  $false
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | | CLOSE: (36) is inconsistent.
% 57.04/8.75  | | | | | | 
% 57.04/8.75  | | | | | End of split
% 57.04/8.75  | | | | | 
% 57.04/8.75  | | | | End of split
% 57.04/8.75  | | | | 
% 57.04/8.75  | | | End of split
% 57.04/8.75  | | | 
% 57.04/8.75  | | End of split
% 57.04/8.75  | | 
% 57.04/8.75  | Case 2:
% 57.04/8.75  | | 
% 57.04/8.75  | |   (37)  all_8_20 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | COMBINE_EQS: (5), (37) imply:
% 57.04/8.75  | |   (38)  all_4_4 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | SIMP: (38) implies:
% 57.04/8.75  | |   (39)  all_4_4 = e2
% 57.04/8.75  | | 
% 57.04/8.75  | | REDUCE: (10), (39) imply:
% 57.04/8.75  | |   (40)  $false
% 57.04/8.75  | | 
% 57.04/8.75  | | CLOSE: (40) is inconsistent.
% 57.04/8.75  | | 
% 57.04/8.75  | End of split
% 57.04/8.75  | 
% 57.04/8.75  End of proof
% 57.04/8.75  
% 57.04/8.75  Sub-proof #24 shows that the following formulas are inconsistent:
% 57.04/8.75  ----------------------------------------------------------------
% 57.04/8.75    (1)  all_6_9 = all_4_21
% 57.04/8.75    (2)  all_6_9 = e4
% 57.04/8.75    (3)   ~ (all_4_21 = e4)
% 57.04/8.75  
% 57.04/8.75  Begin of proof
% 57.04/8.75  | 
% 57.04/8.75  | COMBINE_EQS: (1), (2) imply:
% 57.04/8.75  |   (4)  all_4_21 = e4
% 57.04/8.75  | 
% 57.04/8.75  | SIMP: (4) implies:
% 57.04/8.75  |   (5)  all_4_21 = e4
% 57.24/8.75  | 
% 57.24/8.75  | REDUCE: (3), (5) imply:
% 57.24/8.75  |   (6)  $false
% 57.24/8.75  | 
% 57.24/8.75  | CLOSE: (6) is inconsistent.
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #25 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_9 = all_4_21
% 57.24/8.75    (2)  all_6_9 = e1
% 57.24/8.75    (3)   ~ (all_4_21 = e1)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.75  |   (4)  all_4_21 = e1
% 57.24/8.75  | 
% 57.24/8.75  | SIMP: (4) implies:
% 57.24/8.75  |   (5)  all_4_21 = e1
% 57.24/8.75  | 
% 57.24/8.75  | REDUCE: (3), (5) imply:
% 57.24/8.75  |   (6)  $false
% 57.24/8.75  | 
% 57.24/8.75  | CLOSE: (6) is inconsistent.
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #26 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_17 = all_4_13
% 57.24/8.75    (2)   ~ (all_4_13 = e2)
% 57.24/8.75    (3)   ~ (all_4_13 = e3)
% 57.24/8.75    (4)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 57.24/8.75    (5)   ~ (all_4_13 = e0)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (4) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (6)  all_6_17 = e2
% 57.24/8.75  | | 
% 57.24/8.75  | | COMBINE_EQS: (1), (6) imply:
% 57.24/8.75  | |   (7)  all_4_13 = e2
% 57.24/8.75  | | 
% 57.24/8.75  | | REDUCE: (2), (7) imply:
% 57.24/8.75  | |   (8)  $false
% 57.24/8.75  | | 
% 57.24/8.75  | | CLOSE: (8) is inconsistent.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (9)  all_6_17 = e3 | all_6_17 = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | BETA: splitting (9) gives:
% 57.24/8.75  | | 
% 57.24/8.75  | | Case 1:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (10)  all_6_17 = e3
% 57.24/8.75  | | | 
% 57.24/8.75  | | | COMBINE_EQS: (1), (10) imply:
% 57.24/8.75  | | |   (11)  all_4_13 = e3
% 57.24/8.75  | | | 
% 57.24/8.75  | | | SIMP: (11) implies:
% 57.24/8.75  | | |   (12)  all_4_13 = e3
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REDUCE: (3), (12) imply:
% 57.24/8.75  | | |   (13)  $false
% 57.24/8.75  | | | 
% 57.24/8.75  | | | CLOSE: (13) is inconsistent.
% 57.24/8.75  | | | 
% 57.24/8.75  | | Case 2:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (14)  all_6_17 = e0
% 57.24/8.75  | | | 
% 57.24/8.75  | | | COMBINE_EQS: (1), (14) imply:
% 57.24/8.75  | | |   (15)  all_4_13 = e0
% 57.24/8.75  | | | 
% 57.24/8.75  | | | SIMP: (15) implies:
% 57.24/8.75  | | |   (16)  all_4_13 = e0
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REDUCE: (5), (16) imply:
% 57.24/8.75  | | |   (17)  $false
% 57.24/8.75  | | | 
% 57.24/8.75  | | | CLOSE: (17) is inconsistent.
% 57.24/8.75  | | | 
% 57.24/8.75  | | End of split
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #27 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)   ~ (e3 = e1)
% 57.24/8.75    (2)  op(e4, e2) = e1
% 57.24/8.75    (3)  op(e2, e4) = e4
% 57.24/8.75    (4)  op(e4, e2) = e4
% 57.24/8.75    (5)  op(e2, e4) = e3
% 57.24/8.75    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.75           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | GROUND_INST: instantiating (6) with e3, e4, e4, e2, simplifying with (3), (5)
% 57.24/8.75  |              gives:
% 57.24/8.75  |   (7)  e4 = e3
% 57.24/8.75  | 
% 57.24/8.75  | GROUND_INST: instantiating (6) with e1, e4, e2, e4, simplifying with (2), (4)
% 57.24/8.75  |              gives:
% 57.24/8.75  |   (8)  e4 = e1
% 57.24/8.75  | 
% 57.24/8.75  | COMBINE_EQS: (7), (8) imply:
% 57.24/8.75  |   (9)  e3 = e1
% 57.24/8.75  | 
% 57.24/8.75  | REDUCE: (1), (9) imply:
% 57.24/8.75  |   (10)  $false
% 57.24/8.75  | 
% 57.24/8.75  | CLOSE: (10) is inconsistent.
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #28 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_1 = all_4_5
% 57.24/8.75    (2)  all_6_1 = e2
% 57.24/8.75    (3)   ~ (all_4_5 = e2)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.75  |   (4)  all_4_5 = e2
% 57.24/8.75  | 
% 57.24/8.75  | SIMP: (4) implies:
% 57.24/8.75  |   (5)  all_4_5 = e2
% 57.24/8.75  | 
% 57.24/8.75  | REDUCE: (3), (5) imply:
% 57.24/8.75  |   (6)  $false
% 57.24/8.75  | 
% 57.24/8.75  | CLOSE: (6) is inconsistent.
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #29 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_6 = all_4_6
% 57.24/8.75    (2)  all_6_6 = e0
% 57.24/8.75    (3)   ~ (all_4_6 = e0)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.75  |   (4)  all_4_6 = e0
% 57.24/8.75  | 
% 57.24/8.75  | SIMP: (4) implies:
% 57.24/8.75  |   (5)  all_4_6 = e0
% 57.24/8.75  | 
% 57.24/8.75  | REDUCE: (3), (5) imply:
% 57.24/8.75  |   (6)  $false
% 57.24/8.75  | 
% 57.24/8.75  | CLOSE: (6) is inconsistent.
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #30 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)   ~ (all_4_8 = e2)
% 57.24/8.75    (2)   ~ (all_4_8 = e0)
% 57.24/8.75    (3)  all_6_16 = all_4_8
% 57.24/8.75    (4)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 57.24/8.75    (5)   ~ (all_4_8 = e3)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (4) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (6)  all_6_16 = e2
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #60.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (7)  all_6_16 = e3 | all_6_16 = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | BETA: splitting (7) gives:
% 57.24/8.75  | | 
% 57.24/8.75  | | Case 1:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (8)  all_6_16 = e3
% 57.24/8.75  | | | 
% 57.24/8.75  | | | COMBINE_EQS: (3), (8) imply:
% 57.24/8.75  | | |   (9)  all_4_8 = e3
% 57.24/8.75  | | | 
% 57.24/8.75  | | | SIMP: (9) implies:
% 57.24/8.75  | | |   (10)  all_4_8 = e3
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REDUCE: (5), (10) imply:
% 57.24/8.75  | | |   (11)  $false
% 57.24/8.75  | | | 
% 57.24/8.75  | | | CLOSE: (11) is inconsistent.
% 57.24/8.75  | | | 
% 57.24/8.75  | | Case 2:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (12)  all_6_16 = e0
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REF_CLOSE: (2), (3), (12) are inconsistent by sub-proof #58.
% 57.24/8.75  | | | 
% 57.24/8.75  | | End of split
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #31 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_3 = all_4_15
% 57.24/8.75    (2)   ~ (all_4_15 = e2)
% 57.24/8.75    (3)   ~ (all_4_15 = e4)
% 57.24/8.75    (4)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.24/8.75    (5)   ~ (all_4_15 = e0)
% 57.24/8.75    (6)   ~ (all_4_15 = e3)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (4) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (7)  all_6_3 = e4
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (1), (3), (7) are inconsistent by sub-proof #167.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (8)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | BETA: splitting (8) gives:
% 57.24/8.75  | | 
% 57.24/8.75  | | Case 1:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (9)  all_6_3 = e2
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #72.
% 57.24/8.75  | | | 
% 57.24/8.75  | | Case 2:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (10)  all_6_3 = e3 | all_6_3 = e0
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #32.
% 57.24/8.75  | | | 
% 57.24/8.75  | | End of split
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #32 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_3 = e3 | all_6_3 = e0
% 57.24/8.75    (2)  all_6_3 = all_4_15
% 57.24/8.75    (3)   ~ (all_4_15 = e3)
% 57.24/8.75    (4)   ~ (all_4_15 = e0)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (1) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (5)  all_6_3 = e3
% 57.24/8.75  | | 
% 57.24/8.75  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.75  | |   (6)  all_4_15 = e3
% 57.24/8.75  | | 
% 57.24/8.75  | | SIMP: (6) implies:
% 57.24/8.75  | |   (7)  all_4_15 = e3
% 57.24/8.75  | | 
% 57.24/8.75  | | REDUCE: (3), (7) imply:
% 57.24/8.75  | |   (8)  $false
% 57.24/8.75  | | 
% 57.24/8.75  | | CLOSE: (8) is inconsistent.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (9)  all_6_3 = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #70.
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #33 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  op(e1, e3) = e4
% 57.24/8.75    (2)  op(unit, e1) = e1
% 57.24/8.75    (3)  op(e4, unit) = e4
% 57.24/8.75    (4)  op(e4, e3) = e2
% 57.24/8.75    (5)  op(e1, e1) = e0
% 57.24/8.75    (6)  unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 57.24/8.75    (7)  op(unit, e3) = e3
% 57.24/8.75    (8)  op(e2, unit) = e2
% 57.24/8.75    (9)   ~ (unit = e0)
% 57.24/8.75    (10)  op(e4, e1) = e3
% 57.24/8.75    (11)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.75            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.75    (12)  op(e1, unit) = e1
% 57.24/8.75    (13)   ~ (e2 = e1)
% 57.24/8.75    (14)  op(e2, e2) = e0
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (6) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (15)  unit = e1
% 57.24/8.75  | | 
% 57.24/8.75  | | REDUCE: (9), (15) imply:
% 57.24/8.75  | |   (16)   ~ (e1 = e0)
% 57.24/8.75  | | 
% 57.24/8.75  | | REDUCE: (12), (15) imply:
% 57.24/8.75  | |   (17)  op(e1, e1) = e1
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (5), (11), (16), (17) are inconsistent by sub-proof #79.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (18)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (10), (11), (12), (13), (14),
% 57.24/8.75  | |            (18) are inconsistent by sub-proof #75.
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #34 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)   ~ (e3 = e1)
% 57.24/8.75    (2)   ~ (all_4_17 = e1)
% 57.24/8.75    (3)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))
% 57.24/8.75    (4)  all_10_12 = all_4_17
% 57.24/8.75    (5)  all_10_10 = e3
% 57.24/8.75    (6)   ~ (all_4_17 = e0)
% 57.24/8.75    (7)  all_6_13 = all_4_17
% 57.24/8.75    (8)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13
% 57.24/8.75         = e0
% 57.24/8.75    (9)   ~ (all_4_17 = e2)
% 57.24/8.75    (10)   ~ (all_4_17 = e3)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (8) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (11)  all_6_13 = e1
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (2), (7), (11) are inconsistent by sub-proof #165.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (12)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | BETA: splitting (12) gives:
% 57.24/8.75  | | 
% 57.24/8.75  | | Case 1:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (13)  all_6_13 = e4
% 57.24/8.75  | | | 
% 57.24/8.75  | | | COMBINE_EQS: (7), (13) imply:
% 57.24/8.75  | | |   (14)  all_4_17 = e4
% 57.24/8.75  | | | 
% 57.24/8.75  | | | SIMP: (14) implies:
% 57.24/8.75  | | |   (15)  all_4_17 = e4
% 57.24/8.75  | | | 
% 57.24/8.75  | | | COMBINE_EQS: (4), (15) imply:
% 57.24/8.75  | | |   (16)  all_10_12 = e4
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REF_CLOSE: (1), (3), (5), (16) are inconsistent by sub-proof #160.
% 57.24/8.75  | | | 
% 57.24/8.75  | | Case 2:
% 57.24/8.75  | | | 
% 57.24/8.75  | | |   (17)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 57.24/8.75  | | | 
% 57.24/8.75  | | | REF_CLOSE: (6), (7), (9), (10), (17) are inconsistent by sub-proof #134.
% 57.24/8.75  | | | 
% 57.24/8.75  | | End of split
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #35 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_8_3 = e3
% 57.24/8.75    (2)  all_8_3 = e1
% 57.24/8.75    (3)   ~ (e3 = e1)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.75  |   (4)  e3 = e1
% 57.24/8.75  | 
% 57.24/8.75  | SIMP: (4) implies:
% 57.24/8.75  |   (5)  e3 = e1
% 57.24/8.75  | 
% 57.24/8.75  | REDUCE: (3), (5) imply:
% 57.24/8.75  |   (6)  $false
% 57.24/8.75  | 
% 57.24/8.75  | CLOSE: (6) is inconsistent.
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #36 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_24 = e3 | all_6_24 = e0
% 57.24/8.75    (2)  all_6_24 = all_4_24
% 57.24/8.75    (3)   ~ (all_4_24 = e3)
% 57.24/8.75    (4)   ~ (all_4_24 = e0)
% 57.24/8.75  
% 57.24/8.75  Begin of proof
% 57.24/8.75  | 
% 57.24/8.75  | BETA: splitting (1) gives:
% 57.24/8.75  | 
% 57.24/8.75  | Case 1:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (5)  all_6_24 = e3
% 57.24/8.75  | | 
% 57.24/8.75  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.75  | |   (6)  all_4_24 = e3
% 57.24/8.75  | | 
% 57.24/8.75  | | SIMP: (6) implies:
% 57.24/8.75  | |   (7)  all_4_24 = e3
% 57.24/8.75  | | 
% 57.24/8.75  | | REDUCE: (3), (7) imply:
% 57.24/8.75  | |   (8)  $false
% 57.24/8.75  | | 
% 57.24/8.75  | | CLOSE: (8) is inconsistent.
% 57.24/8.75  | | 
% 57.24/8.75  | Case 2:
% 57.24/8.75  | | 
% 57.24/8.75  | |   (9)  all_6_24 = e0
% 57.24/8.75  | | 
% 57.24/8.75  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #37.
% 57.24/8.75  | | 
% 57.24/8.75  | End of split
% 57.24/8.75  | 
% 57.24/8.75  End of proof
% 57.24/8.75  
% 57.24/8.75  Sub-proof #37 shows that the following formulas are inconsistent:
% 57.24/8.75  ----------------------------------------------------------------
% 57.24/8.75    (1)  all_6_24 = all_4_24
% 57.24/8.75    (2)  all_6_24 = e0
% 57.24/8.76    (3)   ~ (all_4_24 = e0)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_24 = e0
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_24 = e0
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #38 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_20 = all_4_4
% 57.24/8.76    (2)   ~ (all_4_4 = e4)
% 57.24/8.76    (3)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0
% 57.24/8.76    (4)   ~ (all_4_4 = e2)
% 57.24/8.76    (5)   ~ (all_4_4 = e0)
% 57.24/8.76    (6)   ~ (all_4_4 = e3)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | BETA: splitting (3) gives:
% 57.24/8.76  | 
% 57.24/8.76  | Case 1:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (7)  all_6_20 = e4
% 57.24/8.76  | | 
% 57.24/8.76  | | COMBINE_EQS: (1), (7) imply:
% 57.24/8.76  | |   (8)  all_4_4 = e4
% 57.24/8.76  | | 
% 57.24/8.76  | | SIMP: (8) implies:
% 57.24/8.76  | |   (9)  all_4_4 = e4
% 57.24/8.76  | | 
% 57.24/8.76  | | REDUCE: (2), (9) imply:
% 57.24/8.76  | |   (10)  $false
% 57.24/8.76  | | 
% 57.24/8.76  | | CLOSE: (10) is inconsistent.
% 57.24/8.76  | | 
% 57.24/8.76  | Case 2:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (11)  all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | BETA: splitting (11) gives:
% 57.24/8.76  | | 
% 57.24/8.76  | | Case 1:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (12)  all_6_20 = e2
% 57.24/8.76  | | | 
% 57.24/8.76  | | | COMBINE_EQS: (1), (12) imply:
% 57.24/8.76  | | |   (13)  all_4_4 = e2
% 57.24/8.76  | | | 
% 57.24/8.76  | | | SIMP: (13) implies:
% 57.24/8.76  | | |   (14)  all_4_4 = e2
% 57.24/8.76  | | | 
% 57.24/8.76  | | | REDUCE: (4), (14) imply:
% 57.24/8.76  | | |   (15)  $false
% 57.24/8.76  | | | 
% 57.24/8.76  | | | CLOSE: (15) is inconsistent.
% 57.24/8.76  | | | 
% 57.24/8.76  | | Case 2:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (16)  all_6_20 = e3 | all_6_20 = e0
% 57.24/8.76  | | | 
% 57.24/8.76  | | | BETA: splitting (16) gives:
% 57.24/8.76  | | | 
% 57.24/8.76  | | | Case 1:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | |   (17)  all_6_20 = e3
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | COMBINE_EQS: (1), (17) imply:
% 57.24/8.76  | | | |   (18)  all_4_4 = e3
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | SIMP: (18) implies:
% 57.24/8.76  | | | |   (19)  all_4_4 = e3
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | REDUCE: (6), (19) imply:
% 57.24/8.76  | | | |   (20)  $false
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | CLOSE: (20) is inconsistent.
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | Case 2:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | |   (21)  all_6_20 = e0
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | COMBINE_EQS: (1), (21) imply:
% 57.24/8.76  | | | |   (22)  all_4_4 = e0
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | SIMP: (22) implies:
% 57.24/8.76  | | | |   (23)  all_4_4 = e0
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | REDUCE: (5), (23) imply:
% 57.24/8.76  | | | |   (24)  $false
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | CLOSE: (24) is inconsistent.
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | End of split
% 57.24/8.76  | | | 
% 57.24/8.76  | | End of split
% 57.24/8.76  | | 
% 57.24/8.76  | End of split
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #39 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_24 = all_4_24
% 57.24/8.76    (2)  all_6_24 = e4
% 57.24/8.76    (3)   ~ (all_4_24 = e4)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_24 = e4
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_24 = e4
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #40 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_24 = all_4_24
% 57.24/8.76    (2)  all_6_24 = e1
% 57.24/8.76    (3)   ~ (all_4_24 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_24 = e1
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_24 = e1
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #41 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_6 = all_4_6
% 57.24/8.76    (2)  all_6_6 = e2
% 57.24/8.76    (3)   ~ (all_4_6 = e2)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_6 = e2
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_6 = e2
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #42 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_6 = all_4_6
% 57.24/8.76    (2)  all_6_6 = e4
% 57.24/8.76    (3)   ~ (all_4_6 = e4)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_6 = e4
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_6 = e4
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #43 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_6 = all_4_6
% 57.24/8.76    (2)  all_6_6 = e1
% 57.24/8.76    (3)   ~ (all_4_6 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_6 = e1
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_6 = e1
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #44 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_18 = all_4_22
% 57.24/8.76    (2)  all_8_18 = e3
% 57.24/8.76    (3)   ~ (all_4_22 = e3)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_22 = e3
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_22 = e3
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #45 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_17 = all_4_21
% 57.24/8.76    (2)  all_8_17 = e3
% 57.24/8.76    (3)   ~ (all_4_21 = e3)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_21 = e3
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_21 = e3
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #46 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_11 = all_4_17
% 57.24/8.76    (2)   ~ (all_4_22 = e0)
% 57.24/8.76    (3)  all_8_18 = all_4_22
% 57.24/8.76    (4)  all_8_11 = e0 | all_8_18 = e0
% 57.24/8.76    (5)   ~ (all_4_17 = e0)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | BETA: splitting (4) gives:
% 57.24/8.76  | 
% 57.24/8.76  | Case 1:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (6)  all_8_11 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | COMBINE_EQS: (1), (6) imply:
% 57.24/8.76  | |   (7)  all_4_17 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | SIMP: (7) implies:
% 57.24/8.76  | |   (8)  all_4_17 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | REDUCE: (5), (8) imply:
% 57.24/8.76  | |   (9)  $false
% 57.24/8.76  | | 
% 57.24/8.76  | | CLOSE: (9) is inconsistent.
% 57.24/8.76  | | 
% 57.24/8.76  | Case 2:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (10)  all_8_18 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | COMBINE_EQS: (3), (10) imply:
% 57.24/8.76  | |   (11)  all_4_22 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | SIMP: (11) implies:
% 57.24/8.76  | |   (12)  all_4_22 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | REDUCE: (2), (12) imply:
% 57.24/8.76  | |   (13)  $false
% 57.24/8.76  | | 
% 57.24/8.76  | | CLOSE: (13) is inconsistent.
% 57.24/8.76  | | 
% 57.24/8.76  | End of split
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #47 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_6 = e4
% 57.24/8.76    (2)  all_8_6 = e3
% 57.24/8.76    (3)   ~ (e4 = e3)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  e4 = e3
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  e4 = e3
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #48 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_2 = all_4_1
% 57.24/8.76    (2)  all_8_2 = e1
% 57.24/8.76    (3)   ~ (all_4_1 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_1 = e1
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_1 = e1
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #49 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_0 = all_4_0
% 57.24/8.76    (2)  all_8_0 = e1
% 57.24/8.76    (3)   ~ (all_4_0 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.76  |   (4)  all_4_0 = e1
% 57.24/8.76  | 
% 57.24/8.76  | SIMP: (4) implies:
% 57.24/8.76  |   (5)  all_4_0 = e1
% 57.24/8.76  | 
% 57.24/8.76  | REDUCE: (3), (5) imply:
% 57.24/8.76  |   (6)  $false
% 57.24/8.76  | 
% 57.24/8.76  | CLOSE: (6) is inconsistent.
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #50 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)   ~ (e3 = e1)
% 57.24/8.76    (2)  all_8_7 = all_4_7
% 57.24/8.76    (3)  all_8_6 = e3
% 57.24/8.76    (4)  all_8_18 = e2
% 57.24/8.76    (5)  all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 =
% 57.24/8.76         e4
% 57.24/8.76    (6)   ~ (e4 = e0)
% 57.24/8.76    (7)   ~ (e1 = e0)
% 57.24/8.76    (8)   ~ (all_4_7 = e4)
% 57.24/8.76    (9)   ~ (e4 = e3)
% 57.24/8.76    (10)   ~ (all_4_7 = e1)
% 57.24/8.76    (11)   ~ (e4 = e2)
% 57.24/8.76    (12)  all_8_8 = e0
% 57.24/8.76    (13)  all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 =
% 57.24/8.76          e1
% 57.24/8.76    (14)   ~ (e4 = e1)
% 57.24/8.76    (15)   ~ (e2 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | BETA: splitting (13) gives:
% 57.24/8.76  | 
% 57.24/8.76  | Case 1:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (16)  all_8_6 = e1
% 57.24/8.76  | | 
% 57.24/8.76  | | REF_CLOSE: (1), (3), (16) are inconsistent by sub-proof #84.
% 57.24/8.76  | | 
% 57.24/8.76  | Case 2:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (17)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 57.24/8.76  | | 
% 57.24/8.76  | | BETA: splitting (5) gives:
% 57.24/8.76  | | 
% 57.24/8.76  | | Case 1:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (18)  all_8_6 = e4
% 57.24/8.76  | | | 
% 57.24/8.76  | | | COMBINE_EQS: (3), (18) imply:
% 57.24/8.76  | | |   (19)  e4 = e3
% 57.24/8.76  | | | 
% 57.24/8.76  | | | REDUCE: (9), (19) imply:
% 57.24/8.76  | | |   (20)  $false
% 57.24/8.76  | | | 
% 57.24/8.76  | | | CLOSE: (20) is inconsistent.
% 57.24/8.76  | | | 
% 57.24/8.76  | | Case 2:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (21)  all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 57.24/8.76  | | | 
% 57.24/8.76  | | | BETA: splitting (21) gives:
% 57.24/8.76  | | | 
% 57.24/8.76  | | | Case 1:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | |   (22)  all_8_7 = e4
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | COMBINE_EQS: (2), (22) imply:
% 57.24/8.76  | | | |   (23)  all_4_7 = e4
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | SIMP: (23) implies:
% 57.24/8.76  | | | |   (24)  all_4_7 = e4
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | REDUCE: (8), (24) imply:
% 57.24/8.76  | | | |   (25)  $false
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | CLOSE: (25) is inconsistent.
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | Case 2:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | |   (26)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | REF_CLOSE: (2), (4), (6), (7), (10), (11), (12), (14), (15), (17), (26)
% 57.24/8.76  | | | |            are inconsistent by sub-proof #51.
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | End of split
% 57.24/8.76  | | | 
% 57.24/8.76  | | End of split
% 57.24/8.76  | | 
% 57.24/8.76  | End of split
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #51 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_7 = all_4_7
% 57.24/8.76    (2)  all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 57.24/8.76    (3)  all_8_18 = e2
% 57.24/8.76    (4)   ~ (e4 = e0)
% 57.24/8.76    (5)   ~ (e1 = e0)
% 57.24/8.76    (6)   ~ (all_4_7 = e1)
% 57.24/8.76    (7)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 57.24/8.76    (8)   ~ (e4 = e2)
% 57.24/8.76    (9)  all_8_8 = e0
% 57.24/8.76    (10)   ~ (e4 = e1)
% 57.24/8.76    (11)   ~ (e2 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | BETA: splitting (2) gives:
% 57.24/8.76  | 
% 57.24/8.76  | Case 1:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (12)  all_8_8 = e4
% 57.24/8.76  | | 
% 57.24/8.76  | | COMBINE_EQS: (9), (12) imply:
% 57.24/8.76  | |   (13)  e4 = e0
% 57.24/8.76  | | 
% 57.24/8.76  | | REDUCE: (4), (13) imply:
% 57.24/8.76  | |   (14)  $false
% 57.24/8.76  | | 
% 57.24/8.76  | | CLOSE: (14) is inconsistent.
% 57.24/8.76  | | 
% 57.24/8.76  | Case 2:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (15)  all_8_11 = e4 | all_8_18 = e4
% 57.24/8.76  | | 
% 57.24/8.76  | | BETA: splitting (15) gives:
% 57.24/8.76  | | 
% 57.24/8.76  | | Case 1:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (16)  all_8_11 = e4
% 57.24/8.76  | | | 
% 57.24/8.76  | | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11), (16) are inconsistent
% 57.24/8.76  | | |            by sub-proof #52.
% 57.24/8.76  | | | 
% 57.24/8.76  | | Case 2:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (17)  all_8_18 = e4
% 57.24/8.76  | | | 
% 57.24/8.76  | | | COMBINE_EQS: (3), (17) imply:
% 57.24/8.76  | | |   (18)  e4 = e2
% 57.24/8.76  | | | 
% 57.24/8.76  | | | REDUCE: (8), (18) imply:
% 57.24/8.76  | | |   (19)  $false
% 57.24/8.76  | | | 
% 57.24/8.76  | | | CLOSE: (19) is inconsistent.
% 57.24/8.76  | | | 
% 57.24/8.76  | | End of split
% 57.24/8.76  | | 
% 57.24/8.76  | End of split
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #52 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_8_7 = all_4_7
% 57.24/8.76    (2)  all_8_18 = e2
% 57.24/8.76    (3)   ~ (e1 = e0)
% 57.24/8.76    (4)  all_8_11 = e4
% 57.24/8.76    (5)   ~ (all_4_7 = e1)
% 57.24/8.76    (6)  all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 57.24/8.76    (7)  all_8_8 = e0
% 57.24/8.76    (8)   ~ (e4 = e1)
% 57.24/8.76    (9)   ~ (e2 = e1)
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | BETA: splitting (6) gives:
% 57.24/8.76  | 
% 57.24/8.76  | Case 1:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (10)  all_8_7 = e1
% 57.24/8.76  | | 
% 57.24/8.76  | | COMBINE_EQS: (1), (10) imply:
% 57.24/8.76  | |   (11)  all_4_7 = e1
% 57.24/8.76  | | 
% 57.24/8.76  | | SIMP: (11) implies:
% 57.24/8.76  | |   (12)  all_4_7 = e1
% 57.24/8.76  | | 
% 57.24/8.76  | | REDUCE: (5), (12) imply:
% 57.24/8.76  | |   (13)  $false
% 57.24/8.76  | | 
% 57.24/8.76  | | CLOSE: (13) is inconsistent.
% 57.24/8.76  | | 
% 57.24/8.76  | Case 2:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (14)  all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 57.24/8.76  | | 
% 57.24/8.76  | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (14) are inconsistent by sub-proof
% 57.24/8.76  | |            #132.
% 57.24/8.76  | | 
% 57.24/8.76  | End of split
% 57.24/8.76  | 
% 57.24/8.76  End of proof
% 57.24/8.76  
% 57.24/8.76  Sub-proof #53 shows that the following formulas are inconsistent:
% 57.24/8.76  ----------------------------------------------------------------
% 57.24/8.76    (1)  all_6_16 = e3 | all_6_16 = e0
% 57.24/8.76    (2)  op(unit, e1) = e1
% 57.24/8.76    (3)  op(e3, unit) = e3
% 57.24/8.76    (4)  op(e0, e3) = e1
% 57.24/8.76    (5)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 57.24/8.76    (6)  op(unit, e2) = e2
% 57.24/8.76    (7)  op(e4, e3) = e2
% 57.24/8.76    (8)  op(e0, e2) = e3
% 57.24/8.76    (9)  op(e3, e3) = e0
% 57.24/8.76    (10)   ~ (e1 = e0)
% 57.24/8.76    (11)   ~ (all_4_8 = e0)
% 57.24/8.76    (12)  op(unit, e3) = e3
% 57.24/8.76    (13)  op(e2, unit) = e2
% 57.24/8.76    (14)  all_6_16 = all_4_8
% 57.24/8.76    (15)   ~ (e2 = e0)
% 57.24/8.76    (16)  op(e4, e1) = e3
% 57.24/8.76    (17)  op(e1, e3) = all_4_8
% 57.24/8.76    (18)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.76            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.76    (19)  op(e1, unit) = e1
% 57.24/8.76    (20)   ~ (e2 = e1)
% 57.24/8.76    (21)  op(e2, e2) = e0
% 57.24/8.76  
% 57.24/8.76  Begin of proof
% 57.24/8.76  | 
% 57.24/8.76  | BETA: splitting (1) gives:
% 57.24/8.76  | 
% 57.24/8.76  | Case 1:
% 57.24/8.76  | | 
% 57.24/8.76  | |   (22)  all_6_16 = e3
% 57.24/8.76  | | 
% 57.24/8.76  | | COMBINE_EQS: (14), (22) imply:
% 57.24/8.76  | |   (23)  all_4_8 = e3
% 57.24/8.76  | | 
% 57.24/8.76  | | SIMP: (23) implies:
% 57.24/8.76  | |   (24)  all_4_8 = e3
% 57.24/8.76  | | 
% 57.24/8.76  | | REDUCE: (17), (24) imply:
% 57.24/8.76  | |   (25)  op(e1, e3) = e3
% 57.24/8.76  | | 
% 57.24/8.76  | | BETA: splitting (5) gives:
% 57.24/8.76  | | 
% 57.24/8.76  | | Case 1:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (26)  unit = e4
% 57.24/8.76  | | | 
% 57.24/8.76  | | | REF_CLOSE: (2), (7), (12), (16), (18), (20), (26) are inconsistent by
% 57.24/8.76  | | |            sub-proof #54.
% 57.24/8.76  | | | 
% 57.24/8.76  | | Case 2:
% 57.24/8.76  | | | 
% 57.24/8.76  | | |   (27)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.76  | | | 
% 57.24/8.76  | | | BETA: splitting (27) gives:
% 57.24/8.76  | | | 
% 57.24/8.76  | | | Case 1:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | |   (28)  unit = e2
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | REDUCE: (13), (28) imply:
% 57.24/8.76  | | | |   (29)  op(e2, e2) = e2
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | REF_CLOSE: (15), (18), (21), (29) are inconsistent by sub-proof #110.
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | Case 2:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | |   (30)  unit = e3 | unit = e0
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | BETA: splitting (30) gives:
% 57.24/8.76  | | | | 
% 57.24/8.76  | | | | Case 1:
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | |   (31)  unit = e3
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | REDUCE: (3), (31) imply:
% 57.24/8.76  | | | | |   (32)  op(e3, e3) = e3
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | REDUCE: (19), (31) imply:
% 57.24/8.76  | | | | |   (33)  op(e1, e3) = e1
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | GROUND_INST: instantiating (18) with e3, e1, e3, e1, simplifying with
% 57.24/8.76  | | | | |              (25), (33) gives:
% 57.24/8.76  | | | | |   (34)  e3 = e1
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | GROUND_INST: instantiating (18) with e0, e3, e3, e3, simplifying with
% 57.24/8.76  | | | | |              (9), (32) gives:
% 57.24/8.76  | | | | |   (35)  e3 = e0
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | COMBINE_EQS: (34), (35) imply:
% 57.24/8.76  | | | | |   (36)  e1 = e0
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | REDUCE: (10), (36) imply:
% 57.24/8.76  | | | | |   (37)  $false
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | CLOSE: (37) is inconsistent.
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | Case 2:
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | |   (38)  unit = e0
% 57.24/8.76  | | | | | 
% 57.24/8.76  | | | | | REDUCE: (12), (38) imply:
% 57.24/8.77  | | | | |   (39)  op(e0, e3) = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | REDUCE: (6), (38) imply:
% 57.24/8.77  | | | | |   (40)  op(e0, e2) = e2
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | GROUND_INST: instantiating (18) with e3, e2, e2, e0, simplifying with
% 57.24/8.77  | | | | |              (8), (40) gives:
% 57.24/8.77  | | | | |   (41)  e3 = e2
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | GROUND_INST: instantiating (18) with e1, e3, e3, e0, simplifying with
% 57.24/8.77  | | | | |              (4), (39) gives:
% 57.24/8.77  | | | | |   (42)  e3 = e1
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | COMBINE_EQS: (41), (42) imply:
% 57.24/8.77  | | | | |   (43)  e2 = e1
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | REDUCE: (20), (43) imply:
% 57.24/8.77  | | | | |   (44)  $false
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | CLOSE: (44) is inconsistent.
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | End of split
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | End of split
% 57.24/8.77  | | | 
% 57.24/8.77  | | End of split
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (45)  all_6_16 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (11), (14), (45) are inconsistent by sub-proof #58.
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #54 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  op(unit, e1) = e1
% 57.24/8.77    (2)  unit = e4
% 57.24/8.77    (3)  op(e4, e3) = e2
% 57.24/8.77    (4)  op(unit, e3) = e3
% 57.24/8.77    (5)  op(e4, e1) = e3
% 57.24/8.77    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.77           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.77    (7)   ~ (e2 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (2), (4) imply:
% 57.24/8.77  |   (8)  op(e4, e3) = e3
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (1), (2) imply:
% 57.24/8.77  |   (9)  op(e4, e1) = e1
% 57.24/8.77  | 
% 57.24/8.77  | GROUND_INST: instantiating (6) with e3, e1, e1, e4, simplifying with (5), (9)
% 57.24/8.77  |              gives:
% 57.24/8.77  |   (10)  e3 = e1
% 57.24/8.77  | 
% 57.24/8.77  | GROUND_INST: instantiating (6) with e2, e3, e3, e4, simplifying with (3), (8)
% 57.24/8.77  |              gives:
% 57.24/8.77  |   (11)  e3 = e2
% 57.24/8.77  | 
% 57.24/8.77  | REF_CLOSE: (7), (10), (11) are inconsistent by sub-proof #76.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #55 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_16 = all_4_8
% 57.24/8.77    (2)  all_6_16 = e4
% 57.24/8.77    (3)   ~ (all_4_8 = e4)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_8 = e4
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_8 = e4
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #56 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 57.24/8.77    (2)   ~ (all_4_8 = e4)
% 57.24/8.77    (3)   ~ (e4 = e0)
% 57.24/8.77    (4)  all_8_15 = e0
% 57.24/8.77    (5)  all_8_13 = all_4_8
% 57.24/8.77    (6)   ~ (e4 = e3)
% 57.24/8.77    (7)  all_8_14 = e3
% 57.24/8.77    (8)  all_8_19 = e1
% 57.24/8.77    (9)   ~ (e4 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (1) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (10)  all_8_13 = e4
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #146.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (11)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (3), (4), (6), (7), (8), (9), (11) are inconsistent by sub-proof
% 57.24/8.77  | |            #86.
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #57 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_16 = e3 | all_6_16 = e0
% 57.24/8.77    (2)   ~ (all_4_11 = e3)
% 57.24/8.77    (3)  all_8_5 = all_4_11
% 57.24/8.77    (4)  all_8_14 = all_4_13
% 57.24/8.77    (5)   ~ (all_4_8 = all_4_13)
% 57.24/8.77    (6)   ~ (all_4_14 = e3)
% 57.24/8.77    (7)   ~ (e3 = e0)
% 57.24/8.77    (8)   ~ (all_4_8 = e0)
% 57.24/8.77    (9)  all_6_16 = all_4_8
% 57.24/8.77    (10)  all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 57.24/8.77    (11)  all_8_8 = e0
% 57.24/8.77    (12)  all_8_22 = all_4_14
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (10) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (13)  all_8_5 = e3
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (2), (3), (13) are inconsistent by sub-proof #59.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (14)  all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 57.24/8.77  | | 
% 57.24/8.77  | | BETA: splitting (14) gives:
% 57.24/8.77  | | 
% 57.24/8.77  | | Case 1:
% 57.24/8.77  | | | 
% 57.24/8.77  | | |   (15)  all_8_8 = e3
% 57.24/8.77  | | | 
% 57.24/8.77  | | | COMBINE_EQS: (11), (15) imply:
% 57.24/8.77  | | |   (16)  e3 = e0
% 57.24/8.77  | | | 
% 57.24/8.77  | | | REDUCE: (7), (16) imply:
% 57.24/8.77  | | |   (17)  $false
% 57.24/8.77  | | | 
% 57.24/8.77  | | | CLOSE: (17) is inconsistent.
% 57.24/8.77  | | | 
% 57.24/8.77  | | Case 2:
% 57.24/8.77  | | | 
% 57.24/8.77  | | |   (18)  all_8_14 = e3 | all_8_22 = e3
% 57.24/8.77  | | | 
% 57.24/8.77  | | | BETA: splitting (1) gives:
% 57.24/8.77  | | | 
% 57.24/8.77  | | | Case 1:
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | |   (19)  all_6_16 = e3
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | COMBINE_EQS: (9), (19) imply:
% 57.24/8.77  | | | |   (20)  all_4_8 = e3
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | SIMP: (20) implies:
% 57.24/8.77  | | | |   (21)  all_4_8 = e3
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | REDUCE: (5), (21) imply:
% 57.24/8.77  | | | |   (22)   ~ (all_4_13 = e3)
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | SIMP: (22) implies:
% 57.24/8.77  | | | |   (23)   ~ (all_4_13 = e3)
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | BETA: splitting (18) gives:
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | Case 1:
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | |   (24)  all_8_14 = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | COMBINE_EQS: (4), (24) imply:
% 57.24/8.77  | | | | |   (25)  all_4_13 = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | SIMP: (25) implies:
% 57.24/8.77  | | | | |   (26)  all_4_13 = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | REDUCE: (23), (26) imply:
% 57.24/8.77  | | | | |   (27)  $false
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | CLOSE: (27) is inconsistent.
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | Case 2:
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | |   (28)  all_8_22 = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | COMBINE_EQS: (12), (28) imply:
% 57.24/8.77  | | | | |   (29)  all_4_14 = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | SIMP: (29) implies:
% 57.24/8.77  | | | | |   (30)  all_4_14 = e3
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | REDUCE: (6), (30) imply:
% 57.24/8.77  | | | | |   (31)  $false
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | | CLOSE: (31) is inconsistent.
% 57.24/8.77  | | | | | 
% 57.24/8.77  | | | | End of split
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | Case 2:
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | |   (32)  all_6_16 = e0
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | | REF_CLOSE: (8), (9), (32) are inconsistent by sub-proof #58.
% 57.24/8.77  | | | | 
% 57.24/8.77  | | | End of split
% 57.24/8.77  | | | 
% 57.24/8.77  | | End of split
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #58 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_16 = all_4_8
% 57.24/8.77    (2)  all_6_16 = e0
% 57.24/8.77    (3)   ~ (all_4_8 = e0)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_8 = e0
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_8 = e0
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #59 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_5 = all_4_11
% 57.24/8.77    (2)  all_8_5 = e3
% 57.24/8.77    (3)   ~ (all_4_11 = e3)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_11 = e3
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_11 = e3
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #60 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_16 = all_4_8
% 57.24/8.77    (2)  all_6_16 = e2
% 57.24/8.77    (3)   ~ (all_4_8 = e2)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_8 = e2
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_8 = e2
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #61 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_13 = all_4_8
% 57.24/8.77    (2)  all_8_13 = e1
% 57.24/8.77    (3)   ~ (all_4_8 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_8 = e1
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_8 = e1
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #62 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_7 = e4
% 57.24/8.77    (2)  all_8_7 = e1
% 57.24/8.77    (3)   ~ (e4 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  e4 = e1
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  e4 = e1
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #63 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_1 = all_4_5
% 57.24/8.77    (2)  all_8_1 = e1
% 57.24/8.77    (3)   ~ (all_4_5 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_5 = e1
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_5 = e1
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #64 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_3 = e1
% 57.24/8.77    (2)  all_8_3 = e0
% 57.24/8.77    (3)   ~ (e1 = e0)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  e1 = e0
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  e1 = e0
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #65 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_8 = e3 | all_6_8 = e0
% 57.24/8.77    (2)  all_6_8 = all_4_16
% 57.24/8.77    (3)   ~ (all_4_16 = e3)
% 57.24/8.77    (4)   ~ (all_4_16 = e0)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (1) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (5)  all_6_8 = e3
% 57.24/8.77  | | 
% 57.24/8.77  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.77  | |   (6)  all_4_16 = e3
% 57.24/8.77  | | 
% 57.24/8.77  | | SIMP: (6) implies:
% 57.24/8.77  | |   (7)  all_4_16 = e3
% 57.24/8.77  | | 
% 57.24/8.77  | | REDUCE: (3), (7) imply:
% 57.24/8.77  | |   (8)  $false
% 57.24/8.77  | | 
% 57.24/8.77  | | CLOSE: (8) is inconsistent.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (9)  all_6_8 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | COMBINE_EQS: (2), (9) imply:
% 57.24/8.77  | |   (10)  all_4_16 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | SIMP: (10) implies:
% 57.24/8.77  | |   (11)  all_4_16 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | REDUCE: (4), (11) imply:
% 57.24/8.77  | |   (12)  $false
% 57.24/8.77  | | 
% 57.24/8.77  | | CLOSE: (12) is inconsistent.
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #66 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)   ~ (all_4_11 = e3)
% 57.24/8.77    (2)   ~ (all_4_11 = e2)
% 57.24/8.77    (3)   ~ (all_4_11 = e4)
% 57.24/8.77    (4)  all_6_7 = all_4_11
% 57.24/8.77    (5)   ~ (all_4_11 = e0)
% 57.24/8.77    (6)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (6) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (7)  all_6_7 = e4
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #90.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (8)  all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #67.
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #67 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)   ~ (all_4_11 = e3)
% 57.24/8.77    (2)   ~ (all_4_11 = e2)
% 57.24/8.77    (3)  all_6_7 = all_4_11
% 57.24/8.77    (4)   ~ (all_4_11 = e0)
% 57.24/8.77    (5)  all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (5) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (6)  all_6_7 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | COMBINE_EQS: (3), (6) imply:
% 57.24/8.77  | |   (7)  all_4_11 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | SIMP: (7) implies:
% 57.24/8.77  | |   (8)  all_4_11 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | REDUCE: (2), (8) imply:
% 57.24/8.77  | |   (9)  $false
% 57.24/8.77  | | 
% 57.24/8.77  | | CLOSE: (9) is inconsistent.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (10)  all_6_7 = e3 | all_6_7 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #88.
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #68 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_8 = all_4_16
% 57.24/8.77    (2)  all_6_8 = e4
% 57.24/8.77    (3)   ~ (all_4_16 = e4)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_16 = e4
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_16 = e4
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #69 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_4 = e1
% 57.24/8.77    (2)  all_6_3 = all_4_15
% 57.24/8.77    (3)   ~ (all_4_15 = e2)
% 57.24/8.77    (4)  all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 57.24/8.77    (5)  all_8_16 = e4
% 57.24/8.77    (6)   ~ (e4 = e2)
% 57.24/8.77    (7)  all_8_9 = all_4_15
% 57.24/8.77    (8)   ~ (all_4_15 = e0)
% 57.24/8.77    (9)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 57.24/8.77    (10)   ~ (e2 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (9) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (11)  all_6_3 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | REF_CLOSE: (2), (3), (11) are inconsistent by sub-proof #72.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (12)   ~ (all_6_3 = e2)
% 57.24/8.77  | |   (13)  all_6_3 = e3 | all_6_3 = e0
% 57.24/8.77  | | 
% 57.24/8.77  | | BETA: splitting (13) gives:
% 57.24/8.77  | | 
% 57.24/8.77  | | Case 1:
% 57.24/8.77  | | | 
% 57.24/8.77  | | |   (14)  all_6_3 = e3
% 57.24/8.77  | | | 
% 57.24/8.77  | | | COMBINE_EQS: (2), (14) imply:
% 57.24/8.77  | | |   (15)  all_4_15 = e3
% 57.24/8.77  | | | 
% 57.24/8.77  | | | SIMP: (15) implies:
% 57.24/8.77  | | |   (16)  all_4_15 = e3
% 57.24/8.77  | | | 
% 57.24/8.77  | | | COMBINE_EQS: (7), (16) imply:
% 57.24/8.77  | | |   (17)  all_8_9 = e3
% 57.24/8.77  | | | 
% 57.24/8.77  | | | REDUCE: (3), (16) imply:
% 57.24/8.77  | | |   (18)   ~ (e3 = e2)
% 57.24/8.77  | | | 
% 57.24/8.77  | | | REF_CLOSE: (1), (4), (5), (6), (10), (17), (18) are inconsistent by
% 57.24/8.77  | | |            sub-proof #71.
% 57.24/8.77  | | | 
% 57.24/8.77  | | Case 2:
% 57.24/8.77  | | | 
% 57.24/8.77  | | |   (19)  all_6_3 = e0
% 57.24/8.77  | | | 
% 57.24/8.77  | | | REF_CLOSE: (2), (8), (19) are inconsistent by sub-proof #70.
% 57.24/8.77  | | | 
% 57.24/8.77  | | End of split
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #70 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_3 = all_4_15
% 57.24/8.77    (2)  all_6_3 = e0
% 57.24/8.77    (3)   ~ (all_4_15 = e0)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_15 = e0
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_15 = e0
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #71 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_4 = e1
% 57.24/8.77    (2)  all_8_9 = e3
% 57.24/8.77    (3)   ~ (e3 = e2)
% 57.24/8.77    (4)  all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 57.24/8.77    (5)  all_8_16 = e4
% 57.24/8.77    (6)   ~ (e4 = e2)
% 57.24/8.77    (7)   ~ (e2 = e1)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (4) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (8)  all_8_4 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | COMBINE_EQS: (1), (8) imply:
% 57.24/8.77  | |   (9)  e2 = e1
% 57.24/8.77  | | 
% 57.24/8.77  | | REDUCE: (7), (9) imply:
% 57.24/8.77  | |   (10)  $false
% 57.24/8.77  | | 
% 57.24/8.77  | | CLOSE: (10) is inconsistent.
% 57.24/8.77  | | 
% 57.24/8.77  | Case 2:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (11)  all_8_9 = e2 | all_8_16 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | BETA: splitting (11) gives:
% 57.24/8.77  | | 
% 57.24/8.77  | | Case 1:
% 57.24/8.77  | | | 
% 57.24/8.77  | | |   (12)  all_8_9 = e2
% 57.24/8.77  | | | 
% 57.24/8.77  | | | COMBINE_EQS: (2), (12) imply:
% 57.24/8.77  | | |   (13)  e3 = e2
% 57.24/8.77  | | | 
% 57.24/8.77  | | | SIMP: (13) implies:
% 57.24/8.77  | | |   (14)  e3 = e2
% 57.24/8.77  | | | 
% 57.24/8.77  | | | REDUCE: (3), (14) imply:
% 57.24/8.77  | | |   (15)  $false
% 57.24/8.77  | | | 
% 57.24/8.77  | | | CLOSE: (15) is inconsistent.
% 57.24/8.77  | | | 
% 57.24/8.77  | | Case 2:
% 57.24/8.77  | | | 
% 57.24/8.77  | | |   (16)  all_8_16 = e2
% 57.24/8.77  | | | 
% 57.24/8.77  | | | REF_CLOSE: (5), (6), (16) are inconsistent by sub-proof #122.
% 57.24/8.77  | | | 
% 57.24/8.77  | | End of split
% 57.24/8.77  | | 
% 57.24/8.77  | End of split
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #72 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_6_3 = all_4_15
% 57.24/8.77    (2)  all_6_3 = e2
% 57.24/8.77    (3)   ~ (all_4_15 = e2)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.77  |   (4)  all_4_15 = e2
% 57.24/8.77  | 
% 57.24/8.77  | SIMP: (4) implies:
% 57.24/8.77  |   (5)  all_4_15 = e2
% 57.24/8.77  | 
% 57.24/8.77  | REDUCE: (3), (5) imply:
% 57.24/8.77  |   (6)  $false
% 57.24/8.77  | 
% 57.24/8.77  | CLOSE: (6) is inconsistent.
% 57.24/8.77  | 
% 57.24/8.77  End of proof
% 57.24/8.77  
% 57.24/8.77  Sub-proof #73 shows that the following formulas are inconsistent:
% 57.24/8.77  ----------------------------------------------------------------
% 57.24/8.77    (1)  all_8_14 = all_4_13
% 57.24/8.77    (2)  all_6_17 = all_4_13
% 57.24/8.77    (3)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 57.24/8.77    (4)   ~ (e4 = e0)
% 57.24/8.77    (5)  all_8_15 = e0
% 57.24/8.77    (6)   ~ (all_4_13 = e2)
% 57.24/8.77    (7)   ~ (e4 = e3)
% 57.24/8.77    (8)  all_8_19 = e1
% 57.24/8.77    (9)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 57.24/8.77    (10)   ~ (e4 = e1)
% 57.24/8.77    (11)   ~ (all_4_13 = e0)
% 57.24/8.77  
% 57.24/8.77  Begin of proof
% 57.24/8.77  | 
% 57.24/8.77  | BETA: splitting (9) gives:
% 57.24/8.77  | 
% 57.24/8.77  | Case 1:
% 57.24/8.77  | | 
% 57.24/8.77  | |   (12)  all_6_17 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | COMBINE_EQS: (2), (12) imply:
% 57.24/8.77  | |   (13)  all_4_13 = e2
% 57.24/8.77  | | 
% 57.24/8.77  | | REDUCE: (6), (13) imply:
% 57.24/8.78  | |   (14)  $false
% 57.24/8.78  | | 
% 57.24/8.78  | | CLOSE: (14) is inconsistent.
% 57.24/8.78  | | 
% 57.24/8.78  | Case 2:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (15)  all_6_17 = e3 | all_6_17 = e0
% 57.24/8.78  | | 
% 57.24/8.78  | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (10), (11), (15) are
% 57.24/8.78  | |            inconsistent by sub-proof #74.
% 57.24/8.78  | | 
% 57.24/8.78  | End of split
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #74 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)  all_8_14 = all_4_13
% 57.24/8.78    (2)  all_6_17 = all_4_13
% 57.24/8.78    (3)  all_6_17 = e3 | all_6_17 = e0
% 57.24/8.78    (4)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 57.24/8.78    (5)   ~ (e4 = e0)
% 57.24/8.78    (6)  all_8_15 = e0
% 57.24/8.78    (7)   ~ (e4 = e3)
% 57.24/8.78    (8)  all_8_19 = e1
% 57.24/8.78    (9)   ~ (e4 = e1)
% 57.24/8.78    (10)   ~ (all_4_13 = e0)
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | BETA: splitting (3) gives:
% 57.24/8.78  | 
% 57.24/8.78  | Case 1:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (11)  all_6_17 = e3
% 57.24/8.78  | | 
% 57.24/8.78  | | COMBINE_EQS: (2), (11) imply:
% 57.24/8.78  | |   (12)  all_4_13 = e3
% 57.24/8.78  | | 
% 57.24/8.78  | | COMBINE_EQS: (1), (12) imply:
% 57.24/8.78  | |   (13)  all_8_14 = e3
% 57.24/8.78  | | 
% 57.24/8.78  | | REF_CLOSE: (4), (5), (6), (7), (8), (9), (13) are inconsistent by sub-proof
% 57.24/8.78  | |            #86.
% 57.24/8.78  | | 
% 57.24/8.78  | Case 2:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (14)  all_6_17 = e0
% 57.24/8.78  | | 
% 57.24/8.78  | | COMBINE_EQS: (2), (14) imply:
% 57.24/8.78  | |   (15)  all_4_13 = e0
% 57.24/8.78  | | 
% 57.24/8.78  | | REDUCE: (10), (15) imply:
% 57.24/8.78  | |   (16)  $false
% 57.24/8.78  | | 
% 57.24/8.78  | | CLOSE: (16) is inconsistent.
% 57.24/8.78  | | 
% 57.24/8.78  | End of split
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #75 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)  op(e1, e3) = e4
% 57.24/8.78    (2)  op(unit, e1) = e1
% 57.24/8.78    (3)  op(e4, unit) = e4
% 57.24/8.78    (4)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 57.24/8.78    (5)  op(e4, e3) = e2
% 57.24/8.78    (6)  op(unit, e3) = e3
% 57.24/8.78    (7)  op(e2, unit) = e2
% 57.24/8.78    (8)   ~ (unit = e0)
% 57.24/8.78    (9)  op(e4, e1) = e3
% 57.24/8.78    (10)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.78            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.78    (11)  op(e1, unit) = e1
% 57.24/8.78    (12)   ~ (e2 = e1)
% 57.24/8.78    (13)  op(e2, e2) = e0
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | BETA: splitting (4) gives:
% 57.24/8.78  | 
% 57.24/8.78  | Case 1:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (14)  unit = e4
% 57.24/8.78  | | 
% 57.24/8.78  | | REDUCE: (6), (14) imply:
% 57.24/8.78  | |   (15)  op(e4, e3) = e3
% 57.24/8.78  | | 
% 57.24/8.78  | | REDUCE: (2), (14) imply:
% 57.24/8.78  | |   (16)  op(e4, e1) = e1
% 57.24/8.78  | | 
% 57.24/8.78  | | GROUND_INST: instantiating (10) with e3, e1, e1, e4, simplifying with (9),
% 57.24/8.78  | |              (16) gives:
% 57.24/8.78  | |   (17)  e3 = e1
% 57.24/8.78  | | 
% 57.24/8.78  | | GROUND_INST: instantiating (10) with e2, e3, e3, e4, simplifying with (5),
% 57.24/8.78  | |              (15) gives:
% 57.24/8.78  | |   (18)  e3 = e2
% 57.24/8.78  | | 
% 57.24/8.78  | | REF_CLOSE: (12), (17), (18) are inconsistent by sub-proof #76.
% 57.24/8.78  | | 
% 57.24/8.78  | Case 2:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (19)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.78  | | 
% 57.24/8.78  | | REF_CLOSE: (1), (3), (5), (7), (8), (10), (11), (12), (13), (19) are
% 57.24/8.78  | |            inconsistent by sub-proof #104.
% 57.24/8.78  | | 
% 57.24/8.78  | End of split
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #76 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)  e3 = e2
% 57.24/8.78    (2)  e3 = e1
% 57.24/8.78    (3)   ~ (e2 = e1)
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.78  |   (4)  e2 = e1
% 57.24/8.78  | 
% 57.24/8.78  | SIMP: (4) implies:
% 57.24/8.78  |   (5)  e2 = e1
% 57.24/8.78  | 
% 57.24/8.78  | REDUCE: (3), (5) imply:
% 57.24/8.78  |   (6)  $false
% 57.24/8.78  | 
% 57.24/8.78  | CLOSE: (6) is inconsistent.
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #77 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)  all_6_17 = all_4_13
% 57.24/8.78    (2)  all_6_17 = e4
% 57.24/8.78    (3)   ~ (all_4_13 = e4)
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.78  |   (4)  all_4_13 = e4
% 57.24/8.78  | 
% 57.24/8.78  | SIMP: (4) implies:
% 57.24/8.78  |   (5)  all_4_13 = e4
% 57.24/8.78  | 
% 57.24/8.78  | REDUCE: (3), (5) imply:
% 57.24/8.78  |   (6)  $false
% 57.24/8.78  | 
% 57.24/8.78  | CLOSE: (6) is inconsistent.
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #78 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)  all_6_17 = all_4_13
% 57.24/8.78    (2)  all_6_17 = e1
% 57.24/8.78    (3)   ~ (all_4_13 = e1)
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.78  |   (4)  all_4_13 = e1
% 57.24/8.78  | 
% 57.24/8.78  | SIMP: (4) implies:
% 57.24/8.78  |   (5)  all_4_13 = e1
% 57.24/8.78  | 
% 57.24/8.78  | REDUCE: (3), (5) imply:
% 57.24/8.78  |   (6)  $false
% 57.24/8.78  | 
% 57.24/8.78  | CLOSE: (6) is inconsistent.
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #79 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.78           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.78    (2)  op(e1, e1) = e1
% 57.24/8.78    (3)  op(e1, e1) = e0
% 57.24/8.78    (4)   ~ (e1 = e0)
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | GROUND_INST: instantiating (1) with e0, e1, e1, e1, simplifying with (2), (3)
% 57.24/8.78  |              gives:
% 57.24/8.78  |   (5)  e1 = e0
% 57.24/8.78  | 
% 57.24/8.78  | REDUCE: (4), (5) imply:
% 57.24/8.78  |   (6)  $false
% 57.24/8.78  | 
% 57.24/8.78  | CLOSE: (6) is inconsistent.
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #80 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)  all_8_4 = e1
% 57.24/8.78    (2)   ~ (e3 = e1)
% 57.24/8.78    (3)   ~ (e3 = e2)
% 57.24/8.78    (4)  all_8_1 = e2
% 57.24/8.78    (5)  all_8_16 = e4
% 57.24/8.78    (6)   ~ (e4 = e3)
% 57.24/8.78    (7)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 57.24/8.78    (8)  all_8_9 = all_4_15
% 57.24/8.78    (9)   ~ (all_4_15 = e3)
% 57.24/8.78  
% 57.24/8.78  Begin of proof
% 57.24/8.78  | 
% 57.24/8.78  | BETA: splitting (7) gives:
% 57.24/8.78  | 
% 57.24/8.78  | Case 1:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (10)  all_8_1 = e3
% 57.24/8.78  | | 
% 57.24/8.78  | | COMBINE_EQS: (4), (10) imply:
% 57.24/8.78  | |   (11)  e3 = e2
% 57.24/8.78  | | 
% 57.24/8.78  | | REDUCE: (3), (11) imply:
% 57.24/8.78  | |   (12)  $false
% 57.24/8.78  | | 
% 57.24/8.78  | | CLOSE: (12) is inconsistent.
% 57.24/8.78  | | 
% 57.24/8.78  | Case 2:
% 57.24/8.78  | | 
% 57.24/8.78  | |   (13)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 57.24/8.78  | | 
% 57.24/8.78  | | REF_CLOSE: (1), (2), (5), (6), (8), (9), (13) are inconsistent by sub-proof
% 57.24/8.78  | |            #85.
% 57.24/8.78  | | 
% 57.24/8.78  | End of split
% 57.24/8.78  | 
% 57.24/8.78  End of proof
% 57.24/8.78  
% 57.24/8.78  Sub-proof #81 shows that the following formulas are inconsistent:
% 57.24/8.78  ----------------------------------------------------------------
% 57.24/8.78    (1)   ~ (all_4_3 = e0)
% 57.24/8.78    (2)  all_8_4 = e1
% 57.24/8.78    (3)   ~ (all_4_8 = e1)
% 57.24/8.78    (4)   ~ (all_4_15 = all_4_19)
% 57.24/8.78    (5)  all_10_11 = e1
% 57.24/8.78    (6)  op(e4, e3) = all_4_5
% 57.24/8.78    (7)   ~ (all_4_11 = all_4_14)
% 57.24/8.78    (8)   ~ (all_4_3 = all_4_8)
% 57.24/8.78    (9)  all_10_22 = all_4_14
% 57.24/8.78    (10)  all_8_5 = all_4_11
% 57.24/8.78    (11)  op(e4, e4) = e0
% 57.24/8.78    (12)  all_8_14 = all_4_13
% 57.24/8.78    (13)   ~ (e3 = e1)
% 57.24/8.78    (14)   ~ (all_4_1 = e0)
% 57.24/8.78    (15)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.24/8.78    (16)  op(e4, e2) = e1
% 57.24/8.78    (17)  all_10_12 = e4
% 57.24/8.78    (18)  op(unit, e1) = e1
% 57.24/8.78    (19)   ~ (all_4_8 = all_4_9)
% 57.24/8.78    (20)  all_10_0 = all_4_5
% 57.24/8.78    (21)   ~ (all_4_14 = all_4_19)
% 57.24/8.78    (22)  op(e3, unit) = e3
% 57.24/8.78    (23)  all_10_17 = all_4_13
% 57.24/8.78    (24)  all_8_20 = all_4_4
% 57.24/8.78    (25)  op(e3, e4) = all_4_1
% 57.24/8.78    (26)  all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 | all_8_24
% 57.24/8.78          = e4
% 57.24/8.78    (27)  op(e4, unit) = e4
% 57.24/8.78    (28)  all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24
% 57.24/8.78          = e2
% 57.24/8.78    (29)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit = e4))) & ( ~ (all_10_1
% 57.24/8.78                = e4) | (all_10_4 = e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 57.24/8.78              (all_10_4 = e1 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_4
% 57.24/8.78                = e0 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |  ~ (unit = e4)) &
% 57.24/8.78            ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) |
% 57.24/8.78              (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5
% 57.24/8.78                = e1 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e0 & 
% 57.24/8.78                ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit
% 57.24/8.78                  = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 57.24/8.78              (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 57.24/8.78              (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.78              (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 57.24/8.78              (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 57.24/8.78              (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 57.24/8.78              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 57.24/8.78              (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 57.24/8.78              (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 57.24/8.78              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~ (unit
% 57.24/8.78                = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit = e4)))
% 57.24/8.78            & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 57.24/8.78              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.78              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 57.24/8.78              (all_10_0 = e3) |  ~ (unit = e3)) & ( ~ (all_10_1 = e3) | (all_10_0
% 57.24/8.78                = e2 &  ~ (unit = e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1 & 
% 57.24/8.78                ~ (unit = e3))) & ( ~ (all_10_3 = e3) | (all_10_0 = e0 &  ~ (unit
% 57.24/8.78                  = e3))) & ( ~ (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 57.24/8.78                  e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4 &  ~ (unit = e3)))
% 57.24/8.78            & ( ~ (all_10_6 = e3) | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 57.24/8.78              (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit = e3))) & ( ~ (all_10_8
% 57.24/8.78                = e3) | (all_10_9 = e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) | 
% 57.24/8.78              ~ (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 57.24/8.78                  e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~ (all_10_12
% 57.24/8.78                = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~ (all_10_13 = e3)
% 57.24/8.78              | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~ (all_10_14 = e3) |
% 57.24/8.78              (all_10_11 = e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 57.24/8.78              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3) |  ~ (unit
% 57.24/8.78                = e3)) & ( ~ (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit = e3)))
% 57.24/8.78            & ( ~ (all_10_18 = e3) | (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.78              (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.78              (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.78              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~ (all_10_22 = e3) |
% 57.24/8.78              (all_10_21 = e2 &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 57.24/8.78              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3) |
% 57.24/8.78              (all_10_21 = e0 &  ~ (unit = e3)))) | (( ~ (all_10_0 = e2) |
% 57.24/8.78              (all_10_1 = e3 &  ~ (unit = e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 57.24/8.78                e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &  ~ (unit = e2))) & (
% 57.24/8.78              ~ (all_10_3 = e2) | (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit = e2))) & ( ~ (all_10_5
% 57.24/8.78                = e2) | (all_10_6 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) | 
% 57.24/8.78              ~ (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 = e1 &  ~ (unit =
% 57.24/8.78                  e2))) & ( ~ (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit = e2)))
% 57.24/8.78            & ( ~ (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_10 = e2) | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_14 = e2) |  ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 57.24/8.78              (all_10_17 = e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2) |
% 57.24/8.78              (all_10_17 = e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2) |  ~ (unit
% 57.24/8.78                = e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit = e2)))
% 57.24/8.78            & ( ~ (all_10_19 = e2) | (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.78              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 57.24/8.78              (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 57.24/8.78              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1) |
% 57.24/8.78              (all_10_2 = e3 &  ~ (unit = e1))) & ( ~ (all_10_1 = e1) | (all_10_2
% 57.24/8.78                = e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~ (unit = e1)) &
% 57.24/8.78            ( ~ (all_10_3 = e1) | (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.78              (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit = e1))) & ( ~ (all_10_5
% 57.24/8.78                = e1) | (all_10_7 = e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1) |
% 57.24/8.78              (all_10_7 = e2 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~ (unit =
% 57.24/8.78                e1)) & ( ~ (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit = e1))) & (
% 57.24/8.78              ~ (all_10_9 = e1) | (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.78              (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.78              (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.78              (all_10_12 = e1) |  ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 57.24/8.78              (all_10_12 = e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1) |
% 57.24/8.78              (all_10_12 = e2 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1) |
% 57.24/8.78              (all_10_19 = e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 57.24/8.78              (all_10_19 = e3 &  ~ (unit = e1))) & ( ~ (all_10_17 = e1) |
% 57.24/8.78              (all_10_19 = e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1) |
% 57.24/8.78              (all_10_19 = e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |  ~ (unit
% 57.24/8.78                = e1)) & ( ~ (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit = e1)))
% 57.24/8.78            & ( ~ (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.78              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.78              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 57.24/8.78              (all_10_23 = e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 = e0) |
% 57.24/8.78              (all_10_3 = e3 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) | (all_10_3
% 57.24/8.78                = e2 &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) | (all_10_3 = e1 & 
% 57.24/8.78                ~ (unit = e0))) & ( ~ (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.78              (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~ (all_10_5
% 57.24/8.78                = e0) | (all_10_8 = e4 &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 57.24/8.78              (all_10_8 = e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_8
% 57.24/8.78                = e1 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |  ~ (unit = e0)) &
% 57.24/8.78            ( ~ (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_10 = e0) | (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_12 = e0) | (all_10_13 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_13 = e0) |  ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 57.24/8.78              (all_10_13 = e2 &  ~ (unit = e0))) & ( ~ (all_10_15 = e0) |
% 57.24/8.78              (all_10_18 = e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0) |
% 57.24/8.78              (all_10_18 = e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 57.24/8.78              (all_10_18 = e2 &  ~ (unit = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 57.24/8.78                = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit = e0)))
% 57.24/8.78            & ( ~ (all_10_20 = e0) | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.78              (all_10_24 = e0) |  ~ (unit = e0)))
% 57.24/8.78    (30)  all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 =
% 57.24/8.78          e3
% 57.24/8.78    (31)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 57.24/8.78    (32)  all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19
% 57.24/8.78          = e4
% 57.24/8.78    (33)  all_8_7 = e1
% 57.24/8.78    (34)  all_8_12 = all_4_3
% 57.24/8.78    (35)  all_8_6 = e3
% 57.24/8.78    (36)   ~ (all_4_3 = all_4_13)
% 57.24/8.78    (37)  all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 =
% 57.24/8.78          e4
% 57.24/8.78    (38)   ~ (all_4_5 = all_4_15)
% 57.24/8.78    (39)  op(e2, e3) = e1
% 57.24/8.78    (40)  op(e1, e4) = all_4_3
% 57.24/8.78    (41)  op(unit, e2) = e2
% 57.24/8.78    (42)  all_6_21 = all_4_9
% 57.24/8.78    (43)  all_6_7 = all_4_11
% 57.24/8.78    (44)   ~ (all_4_5 = e0)
% 57.24/8.78    (45)   ~ (all_4_9 = all_4_19)
% 57.24/8.78    (46)  op(e1, e1) = e0
% 57.24/8.78    (47)   ~ (all_4_11 = e0)
% 57.24/8.78    (48)   ~ (all_4_4 = all_4_9)
% 57.24/8.78    (49)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 57.24/8.78    (50)  op(e0, e4) = all_4_4
% 57.24/8.78    (51)   ~ (e4 = e0)
% 57.24/8.78    (52)   ~ (all_4_5 = e1)
% 57.24/8.78    (53)  unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 57.24/8.78    (54)   ~ (all_4_4 = all_4_14)
% 57.24/8.78    (55)  all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 | all_8_19
% 57.24/8.78          = e2
% 57.24/8.78    (56)  all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | all_8_24
% 57.24/8.78          = e1
% 57.24/8.78    (57)   ~ (all_4_11 = all_4_13)
% 57.24/8.78    (58)  all_8_15 = e0
% 57.24/8.78    (59)   ~ (e3 = e0)
% 57.24/8.78    (60)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22
% 57.24/8.78          = e0
% 57.24/8.78    (61)   ~ (all_4_19 = e4)
% 57.24/8.78    (62)  op(e2, e4) = e3
% 57.24/8.78    (63)   ~ (all_4_5 = e4)
% 57.24/8.78    (64)  op(e0, e3) = all_4_9
% 57.24/8.78    (65)  all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 57.24/8.78          e2
% 57.24/8.78    (66)  all_10_15 = all_4_3
% 57.24/8.78    (67)  all_10_2 = all_4_15
% 57.24/8.78    (68)   ~ (all_4_4 = e0)
% 57.24/8.78    (69)   ~ (all_4_15 = e4)
% 57.24/8.78    (70)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 57.24/8.78    (71)  op(e3, e2) = all_4_11
% 57.24/8.78    (72)   ~ (all_4_1 = e3)
% 57.24/8.78    (73)   ~ (all_4_4 = e3)
% 57.24/8.78    (74)  all_6_1 = all_4_5
% 57.24/8.78    (75)  all_8_11 = e4
% 57.24/8.78    (76)  all_8_16 = e4
% 57.24/8.78    (77)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 | all_6_23
% 57.24/8.78          = e0
% 57.24/8.78    (78)  all_8_13 = all_4_8
% 57.24/8.78    (79)   ~ (e4 = e3)
% 57.24/8.78    (80)  op(unit, e3) = e3
% 57.24/8.78    (81)  op(e4, e1) = all_4_15
% 57.24/8.78    (82)  all_6_22 = all_4_14
% 57.24/8.78    (83)  all_8_0 = e0
% 57.24/8.78    (84)  all_6_5 = all_4_1
% 57.24/8.78    (85)  all_10_23 = all_4_19
% 57.24/8.78    (86)  op(e2, unit) = e2
% 57.24/8.78    (87)   ~ (all_4_4 = all_4_19)
% 57.24/8.78    (88)  all_6_16 = all_4_8
% 57.24/8.78    (89)   ~ (all_4_1 = all_4_4)
% 57.24/8.78    (90)   ~ (all_4_19 = e0)
% 57.24/8.78    (91)  op(e0, unit) = e0
% 57.24/8.78    (92)  all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17 =
% 57.24/8.78          e4
% 57.24/8.78    (93)  all_10_10 = e3
% 57.24/8.78    (94)  all_8_10 = e1
% 57.24/8.78    (95)   ~ (all_4_1 = all_4_3)
% 57.24/8.78    (96)   ~ (all_4_15 = e1)
% 57.24/8.78    (97)   ~ (all_4_9 = e0)
% 57.24/8.78    (98)   ~ (all_4_14 = e0)
% 57.24/8.78    (99)   ~ (all_4_5 = all_4_8)
% 57.24/8.78    (100)  all_10_21 = all_4_9
% 57.24/8.78    (101)  op(e1, e3) = all_4_8
% 57.24/8.78    (102)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.78             (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.78    (103)  all_8_23 = all_4_19
% 57.24/8.78    (104)  op(unit, e4) = e4
% 57.24/8.78    (105)  op(e1, unit) = e1
% 57.24/8.78    (106)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 57.24/8.78           all_6_16 = e0
% 57.24/8.78    (107)  all_8_2 = all_4_1
% 57.24/8.78    (108)  all_8_22 = all_4_14
% 57.24/8.78    (109)  all_8_9 = all_4_15
% 57.24/8.78    (110)  all_8_19 = e1
% 57.24/8.78    (111)  all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 57.24/8.78           all_8_19 = e3
% 57.24/8.78    (112)  all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23
% 57.24/8.78           = e3
% 57.24/8.78    (113)  all_8_1 = all_4_5
% 57.24/8.78    (114)   ~ (all_4_3 = all_4_4)
% 57.24/8.79    (115)   ~ (all_4_13 = e1)
% 57.24/8.79    (116)  all_6_15 = all_4_3
% 57.24/8.79    (117)  all_6_23 = all_4_19
% 57.24/8.79    (118)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 57.24/8.79           all_6_21 = e0
% 57.24/8.79    (119)   ~ (all_4_3 = e3)
% 57.24/8.79    (120)   ~ (e4 = e1)
% 57.24/8.79    (121)  all_8_21 = all_4_9
% 57.24/8.79    (122)   ~ (all_4_13 = e0)
% 57.24/8.79    (123)   ~ (all_4_3 = e1)
% 57.24/8.79    (124)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 57.24/8.79    (125)  all_8_17 = e3
% 57.24/8.79    (126)  all_10_4 = e0
% 57.24/8.79    (127)   ~ (all_4_9 = all_4_14)
% 57.24/8.79    (128)  op(e2, e2) = e0
% 57.24/8.79    (129)  all_8_3 = e0
% 57.24/8.79  
% 57.24/8.79  Begin of proof
% 57.24/8.79  | 
% 57.24/8.79  | BETA: splitting (56) gives:
% 57.24/8.79  | 
% 57.24/8.79  | Case 1:
% 57.24/8.79  | | 
% 57.24/8.79  | |   (130)  all_8_20 = e1
% 57.24/8.79  | | 
% 57.24/8.79  | | COMBINE_EQS: (24), (130) imply:
% 57.24/8.79  | |   (131)  all_4_4 = e1
% 57.24/8.79  | | 
% 57.24/8.79  | | SIMP: (131) implies:
% 57.24/8.79  | |   (132)  all_4_4 = e1
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (89), (132) imply:
% 57.24/8.79  | |   (133)   ~ (all_4_1 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (48), (132) imply:
% 57.24/8.79  | |   (134)   ~ (all_4_9 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | SIMP: (134) implies:
% 57.24/8.79  | |   (135)   ~ (all_4_9 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (54), (132) imply:
% 57.24/8.79  | |   (136)   ~ (all_4_14 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | SIMP: (136) implies:
% 57.24/8.79  | |   (137)   ~ (all_4_14 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (87), (132) imply:
% 57.24/8.79  | |   (138)   ~ (all_4_19 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | SIMP: (138) implies:
% 57.24/8.79  | |   (139)   ~ (all_4_19 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (73), (132) imply:
% 57.24/8.79  | |   (140)   ~ (e3 = e1)
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (68), (132) imply:
% 57.24/8.79  | |   (141)   ~ (e1 = e0)
% 57.24/8.79  | | 
% 57.24/8.79  | | REDUCE: (50), (132) imply:
% 57.24/8.79  | |   (142)  op(e0, e4) = e1
% 57.24/8.79  | | 
% 57.24/8.79  | | BETA: splitting (77) gives:
% 57.24/8.79  | | 
% 57.24/8.79  | | Case 1:
% 57.24/8.79  | | | 
% 57.24/8.79  | | |   (143)  all_6_23 = e1
% 57.24/8.79  | | | 
% 57.24/8.79  | | | COMBINE_EQS: (117), (143) imply:
% 57.24/8.79  | | |   (144)  all_4_19 = e1
% 57.24/8.79  | | | 
% 57.24/8.79  | | | SIMP: (144) implies:
% 57.24/8.79  | | |   (145)  all_4_19 = e1
% 57.24/8.79  | | | 
% 57.24/8.79  | | | REDUCE: (139), (145) imply:
% 57.24/8.79  | | |   (146)  $false
% 57.24/8.79  | | | 
% 57.24/8.79  | | | CLOSE: (146) is inconsistent.
% 57.24/8.79  | | | 
% 57.24/8.79  | | Case 2:
% 57.24/8.79  | | | 
% 57.24/8.79  | | |   (147)   ~ (all_6_23 = e1)
% 57.24/8.79  | | |   (148)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 57.24/8.79  | | | 
% 57.24/8.79  | | | BETA: splitting (70) gives:
% 57.24/8.79  | | | 
% 57.24/8.79  | | | Case 1:
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | |   (149)  all_6_5 = e1
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | | COMBINE_EQS: (84), (149) imply:
% 57.24/8.79  | | | |   (150)  all_4_1 = e1
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | | REDUCE: (133), (150) imply:
% 57.24/8.79  | | | |   (151)  $false
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | | CLOSE: (151) is inconsistent.
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | Case 2:
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | |   (152)   ~ (all_6_5 = e1)
% 57.24/8.79  | | | |   (153)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | | BETA: splitting (53) gives:
% 57.24/8.79  | | | | 
% 57.24/8.79  | | | | Case 1:
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | |   (154)  unit = e1
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | | REDUCE: (105), (154) imply:
% 57.24/8.79  | | | | |   (155)  op(e1, e1) = e1
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | | GROUND_INST: instantiating (102) with e0, e1, e1, e1, simplifying with
% 57.24/8.79  | | | | |              (46), (155) gives:
% 57.24/8.79  | | | | |   (156)  e1 = e0
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | | REDUCE: (141), (156) imply:
% 57.24/8.79  | | | | |   (157)  $false
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | | CLOSE: (157) is inconsistent.
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | Case 2:
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | |   (158)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | | BETA: splitting (112) gives:
% 57.24/8.79  | | | | | 
% 57.24/8.79  | | | | | Case 1:
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | |   (159)  all_8_9 = e3
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | COMBINE_EQS: (109), (159) imply:
% 57.24/8.79  | | | | | |   (160)  all_4_15 = e3
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | SIMP: (160) implies:
% 57.24/8.79  | | | | | |   (161)  all_4_15 = e3
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | COMBINE_EQS: (67), (161) imply:
% 57.24/8.79  | | | | | |   (162)  all_10_2 = e3
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | REDUCE: (38), (161) imply:
% 57.24/8.79  | | | | | |   (163)   ~ (all_4_5 = e3)
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | REDUCE: (4), (161) imply:
% 57.24/8.79  | | | | | |   (164)   ~ (all_4_19 = e3)
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | SIMP: (164) implies:
% 57.24/8.79  | | | | | |   (165)   ~ (all_4_19 = e3)
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | REDUCE: (69), (161) imply:
% 57.24/8.79  | | | | | |   (166)   ~ (e4 = e3)
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | REDUCE: (81), (161) imply:
% 57.24/8.79  | | | | | |   (167)  op(e4, e1) = e3
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | BETA: splitting (15) gives:
% 57.24/8.79  | | | | | | 
% 57.24/8.79  | | | | | | Case 1:
% 57.24/8.79  | | | | | | | 
% 57.24/8.79  | | | | | | |   (168)  all_6_1 = e4
% 57.24/8.79  | | | | | | | 
% 57.24/8.79  | | | | | | | REF_CLOSE: (63), (74), (168) are inconsistent by sub-proof #116.
% 57.24/8.79  | | | | | | | 
% 57.24/8.79  | | | | | | Case 2:
% 57.24/8.79  | | | | | | | 
% 57.24/8.79  | | | | | | |   (169)   ~ (all_6_1 = e4)
% 57.24/8.79  | | | | | | |   (170)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 57.24/8.79  | | | | | | | 
% 57.24/8.79  | | | | | | | BETA: splitting (170) gives:
% 57.24/8.79  | | | | | | | 
% 57.24/8.79  | | | | | | | Case 1:
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | |   (171)  all_6_1 = e2
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | COMBINE_EQS: (74), (171) imply:
% 57.24/8.79  | | | | | | | |   (172)  all_4_5 = e2
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | SIMP: (172) implies:
% 57.24/8.79  | | | | | | | |   (173)  all_4_5 = e2
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | COMBINE_EQS: (113), (173) imply:
% 57.24/8.79  | | | | | | | |   (174)  all_8_1 = e2
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | COMBINE_EQS: (20), (173) imply:
% 57.24/8.79  | | | | | | | |   (175)  all_10_0 = e2
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | REDUCE: (63), (173) imply:
% 57.24/8.79  | | | | | | | |   (176)   ~ (e4 = e2)
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | SIMP: (176) implies:
% 57.24/8.79  | | | | | | | |   (177)   ~ (e4 = e2)
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | REDUCE: (52), (173) imply:
% 57.24/8.79  | | | | | | | |   (178)   ~ (e2 = e1)
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | REDUCE: (6), (173) imply:
% 57.24/8.79  | | | | | | | |   (179)  op(e4, e3) = e2
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | BETA: splitting (148) gives:
% 57.24/8.79  | | | | | | | | 
% 57.24/8.79  | | | | | | | | Case 1:
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | |   (180)  all_6_23 = e4
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | COMBINE_EQS: (117), (180) imply:
% 57.24/8.79  | | | | | | | | |   (181)  all_4_19 = e4
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | SIMP: (181) implies:
% 57.24/8.79  | | | | | | | | |   (182)  all_4_19 = e4
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | REDUCE: (61), (182) imply:
% 57.24/8.79  | | | | | | | | |   (183)  $false
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | CLOSE: (183) is inconsistent.
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | Case 2:
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | |   (184)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | BETA: splitting (29) gives:
% 57.24/8.79  | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | Case 1:
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | |   (185)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 57.24/8.79  | | | | | | | | | |              (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 57.24/8.79  | | | | | | | | | |            & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit
% 57.24/8.79  | | | | | | | | | |                  = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 =
% 57.24/8.79  | | | | | | | | | |                e1 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 57.24/8.79  | | | | | | | | | |              (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 57.24/8.79  | | | | | | | | | |                &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 57.24/8.79  | | | | | | | | | |              (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4)
% 57.24/8.79  | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 57.24/8.79  | | | | | | | | | |              (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 57.24/8.79  | | | | | | | | | |                e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4)
% 57.24/8.79  | | | | | | | | | |              | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4)
% 57.24/8.79  | | | | | | | | | |              | (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e4)))) | (( ~ (all_10_0 = e3) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e3)) & ( ~ (all_10_1 = e3) | (all_10_0 = e2 &
% 57.24/8.79  | | | | | | | | | |                 ~ (unit = e3))) & ( ~ (all_10_2 = e3) |
% 57.24/8.79  | | | | | | | | | |              (all_10_0 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_3 = e3) | (all_10_0 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e3))) & ( ~ (all_10_4 = e3) | (all_10_0 =
% 57.24/8.79  | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 57.24/8.79  | | | | | | | | | |              (all_10_9 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_6 = e3) | (all_10_9 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e3))) & ( ~ (all_10_7 = e3) | (all_10_9 =
% 57.24/8.79  | | | | | | | | | |                e1 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 57.24/8.79  | | | | | | | | | |              (all_10_9 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_9 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e3))) & ( ~ (all_10_11 = e3) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e1
% 57.24/8.79  | | | | | | | | | |                &  ~ (unit = e3))) & ( ~ (all_10_13 = e3) |
% 57.24/8.79  | | | | | | | | | |              (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e3))) & ( ~ (all_10_15 = e3) | (all_10_16 =
% 57.24/8.79  | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_16 = e3)
% 57.24/8.79  | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 57.24/8.79  | | | | | | | | | |              (all_10_16 = e2 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_18 = e3) | (all_10_16 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e3))) & ( ~ (all_10_19 = e3) | (all_10_16 =
% 57.24/8.79  | | | | | | | | | |                e1 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3)
% 57.24/8.79  | | | | | | | | | |              | (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e3))) & ( ~ (all_10_23 = e3) | (all_10_21 =
% 57.24/8.79  | | | | | | | | | |                e1 &  ~ (unit = e3))) & ( ~ (all_10_24 = e3)
% 57.24/8.79  | | | | | | | | | |              | (all_10_21 = e0 &  ~ (unit = e3))))
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | BETA: splitting (185) gives:
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | Case 1:
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | |   (186)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_1 = e4) | (all_10_4 = e2
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) &
% 57.24/8.79  | | | | | | | | | | |          ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_5 = e0 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_10 = e4) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e4)) & ( ~ (all_10_11 = e4) | (all_10_10 = e3
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_14 = e4) | (all_10_10 =
% 57.24/8.79  | | | | | | | | | | |              e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |
% 57.24/8.79  | | | | | | | | | | |             ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_15 = e3 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_18 = e4) | (all_10_15 =
% 57.24/8.79  | | | | | | | | | | |              e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4))) & ( ~ (all_10_22 = e4) | (all_10_20 =
% 57.24/8.79  | | | | | | | | | | |              e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_20 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e4)))
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | ALPHA: (186) implies:
% 57.24/8.79  | | | | | | | | | | |   (187)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e4))
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | REF_CLOSE: (13), (17), (93), (187) are inconsistent by
% 57.24/8.79  | | | | | | | | | | |            sub-proof #160.
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | Case 2:
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | |   (188)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3))) & ( ~ (all_10_2 = e3) | (all_10_0 = e1
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3))) & ( ~ (all_10_5 = e3) | (all_10_9 = e4
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~
% 57.24/8.79  | | | | | | | | | | |            (unit = e3)) & ( ~ (all_10_10 = e3) | (all_10_11
% 57.24/8.79  | | | | | | | | | | |              = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3)
% 57.24/8.79  | | | | | | | | | | |            |  ~ (unit = e3)) & ( ~ (all_10_12 = e3) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3))) & ( ~ (all_10_14 = e3) | (all_10_11 =
% 57.24/8.79  | | | | | | | | | | |              e2 &  ~ (unit = e3))) & ( ~ (all_10_15 = e3) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3))) & ( ~ (all_10_18 = e3) | (all_10_16 =
% 57.24/8.79  | | | | | | | | | | |              e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_16 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_20 = e3) | (all_10_21 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3))) & ( ~ (all_10_21 = e3) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e3))) & ( ~ (all_10_23 = e3) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e3)))
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | ALPHA: (188) implies:
% 57.24/8.79  | | | | | | | | | | |   (189)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e3))
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | REF_CLOSE: (162), (175), (178), (189) are inconsistent by
% 57.24/8.79  | | | | | | | | | | |            sub-proof #115.
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | End of split
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | Case 2:
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | |   (190)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &
% 57.24/8.79  | | | | | | | | | |                 ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 57.24/8.79  | | | | | | | | | |              (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 57.24/8.79  | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |
% 57.24/8.79  | | | | | | | | | |               ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 57.24/8.79  | | | | | | | | | |              (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 57.24/8.79  | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 57.24/8.79  | | | | | | | | | |              | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_12 = e2) | (all_10_14 =
% 57.24/8.79  | | | | | | | | | |                e1 &  ~ (unit = e2))) & ( ~ (all_10_13 = e2)
% 57.24/8.79  | | | | | | | | | |              | (all_10_14 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_14 = e2) |  ~ (unit = e2)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_16 = e2) | (all_10_17 =
% 57.24/8.79  | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_17 = e2)
% 57.24/8.79  | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) |
% 57.24/8.79  | | | | | | | | | |              (all_10_17 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_19 = e2) | (all_10_17 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_20 = e2) | (all_10_22 =
% 57.24/8.79  | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_21 = e2)
% 57.24/8.79  | | | | | | | | | |              | (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e2))) & ( ~ (all_10_24 = e2) | (all_10_22 =
% 57.24/8.79  | | | | | | | | | |                e0 &  ~ (unit = e2)))) | (( ~ (all_10_0 = e1)
% 57.24/8.79  | | | | | | | | | |              | (all_10_2 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_1 = e1) | (all_10_2 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1))) & ( ~ (all_10_2 = e1) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e1)) & ( ~ (all_10_3 = e1) | (all_10_2 = e0 &
% 57.24/8.79  | | | | | | | | | |                 ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 57.24/8.79  | | | | | | | | | |              (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1))) & ( ~ (all_10_6 = e1) | (all_10_7 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |
% 57.24/8.79  | | | | | | | | | |               ~ (unit = e1)) & ( ~ (all_10_8 = e1) |
% 57.24/8.79  | | | | | | | | | |              (all_10_7 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_9 = e1) | (all_10_7 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1))) & ( ~ (all_10_10 = e1) | (all_10_12 =
% 57.24/8.79  | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_11 = e1)
% 57.24/8.79  | | | | | | | | | |              | (all_10_12 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_12 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_13 = e1) | (all_10_12 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1))) & ( ~ (all_10_14 = e1) | (all_10_12 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_15 = e1)
% 57.24/8.79  | | | | | | | | | |              | (all_10_19 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_16 = e1) | (all_10_19 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1))) & ( ~ (all_10_17 = e1) | (all_10_19 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_18 = e1)
% 57.24/8.79  | | | | | | | | | |              | (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1))) & ( ~ (all_10_21 = e1) | (all_10_23 =
% 57.24/8.79  | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_22 = e1)
% 57.24/8.79  | | | | | | | | | |              | (all_10_23 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_23 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_24 = e1) | (all_10_23 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e1)))) | (( ~ (all_10_0 = e0) | (all_10_3 =
% 57.24/8.79  | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_1 = e0) |
% 57.24/8.79  | | | | | | | | | |              (all_10_3 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_2 = e0) | (all_10_3 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e0))) & ( ~ (all_10_3 = e0) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e0)) & ( ~ (all_10_4 = e0) | (all_10_3 = e4 &
% 57.24/8.79  | | | | | | | | | |                 ~ (unit = e0))) & ( ~ (all_10_5 = e0) |
% 57.24/8.79  | | | | | | | | | |              (all_10_8 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_6 = e0) | (all_10_8 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e0))) & ( ~ (all_10_7 = e0) | (all_10_8 =
% 57.24/8.79  | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_8 = e0) |
% 57.24/8.79  | | | | | | | | | |               ~ (unit = e0)) & ( ~ (all_10_9 = e0) |
% 57.24/8.79  | | | | | | | | | |              (all_10_8 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_10 = e0) | (all_10_13 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e0))) & ( ~ (all_10_11 = e0) | (all_10_13 =
% 57.24/8.79  | | | | | | | | | |                e3 &  ~ (unit = e0))) & ( ~ (all_10_12 = e0)
% 57.24/8.79  | | | | | | | | | |              | (all_10_13 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_13 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_14 = e0) | (all_10_13 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e0))) & ( ~ (all_10_15 = e0) | (all_10_18 =
% 57.24/8.79  | | | | | | | | | |                e4 &  ~ (unit = e0))) & ( ~ (all_10_16 = e0)
% 57.24/8.79  | | | | | | | | | |              | (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e0))) & ( ~ (all_10_18 = e0) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                e0)) & ( ~ (all_10_19 = e0) | (all_10_18 = e1
% 57.24/8.79  | | | | | | | | | |                &  ~ (unit = e0))) & ( ~ (all_10_20 = e0) |
% 57.24/8.79  | | | | | | | | | |              (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | |                  e0))) & ( ~ (all_10_22 = e0) | (all_10_24 =
% 57.24/8.79  | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_23 = e0)
% 57.24/8.79  | | | | | | | | | |              | (all_10_24 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | |              (all_10_24 = e0) |  ~ (unit = e0)))
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | BETA: splitting (190) gives:
% 57.24/8.79  | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | Case 1:
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | |   (191)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 57.24/8.79  | | | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 57.24/8.79  | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 57.24/8.79  | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 57.24/8.79  | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 57.24/8.79  | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 57.24/8.79  | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 57.24/8.79  | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 57.24/8.79  | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 57.24/8.79  | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 57.24/8.79  | | | | | | | | | | |            (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.79  | | | | | | | | | | |            (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                e2)))
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | ALPHA: (191) implies:
% 57.24/8.79  | | | | | | | | | | |   (192)   ~ (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |              e2))
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | BETA: splitting (192) gives:
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | Case 1:
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | |   (193)   ~ (all_10_23 = e2)
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | | REDUCE: (85), (193) imply:
% 57.24/8.79  | | | | | | | | | | | |   (194)   ~ (all_4_19 = e2)
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | | REF_CLOSE: (90), (117), (165), (184), (194) are inconsistent
% 57.24/8.79  | | | | | | | | | | | |            by sub-proof #114.
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | Case 2:
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | |   (195)  all_10_22 = e1 &  ~ (unit = e2)
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | | ALPHA: (195) implies:
% 57.24/8.79  | | | | | | | | | | | |   (196)  all_10_22 = e1
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | | COMBINE_EQS: (9), (196) imply:
% 57.24/8.79  | | | | | | | | | | | |   (197)  all_4_14 = e1
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | | REDUCE: (137), (197) imply:
% 57.24/8.79  | | | | | | | | | | | |   (198)  $false
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | | CLOSE: (198) is inconsistent.
% 57.24/8.79  | | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | | End of split
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | Case 2:
% 57.24/8.79  | | | | | | | | | | | 
% 57.24/8.79  | | | | | | | | | | |   (199)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 57.24/8.79  | | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 57.24/8.79  | | | | | | | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 57.24/8.79  | | | | | | | | | | |              (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 57.24/8.79  | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 57.24/8.79  | | | | | | | | | | |              | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                  e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 57.24/8.79  | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 57.24/8.79  | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 57.24/8.79  | | | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 57.24/8.79  | | | | | | | | | | |              | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_16 = e1) |
% 57.24/8.79  | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_18 = e1) |
% 57.24/8.79  | | | | | | | | | | |              (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_21 = e1) |
% 57.24/8.79  | | | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                  = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 57.24/8.79  | | | | | | | | | | |                e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 57.24/8.79  | | | | | | | | | | |                e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 57.24/8.79  | | | | | | | | | | |              ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 57.24/8.79  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 57.24/8.79  | | | | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 57.24/8.79  | | | | | | | | | | |                e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 57.24/8.79  | | | | | | | | | | |              | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 57.24/8.79  | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 57.24/8.79  | | | | | | | | | | |              | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.79  | | | | | | | | | | |              (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 57.24/8.79  | | | | | | | | | | |                  e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 57.24/8.79  | | | | | | | | | | |                = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 57.24/8.79  | | | | | | | | | | |                e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 57.24/8.79  | | | | | | | | | | |              ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 57.24/8.79  | | | | | | | | | | |                (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 57.24/8.79  | | | | | | | | | | |              (unit = e0)) & ( ~ (all_10_14 = e0) |
% 57.24/8.80  | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | |              (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 57.24/8.80  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 57.24/8.80  | | | | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | |              (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 57.24/8.80  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 57.24/8.80  | | | | | | | | | | |                = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 57.24/8.80  | | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 57.24/8.80  | | | | | | | | | | |              | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 57.24/8.80  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_22 = e0) |
% 57.24/8.80  | | | | | | | | | | |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 57.24/8.80  | | | | | | | | | | |                  = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 57.24/8.80  | | | | | | | | | | |                = e0)))
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | BETA: splitting (199) gives:
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | |   (200)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 57.24/8.80  | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 57.24/8.80  | | | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 57.24/8.80  | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 57.24/8.80  | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 57.24/8.80  | | | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 57.24/8.80  | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 57.24/8.80  | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 57.24/8.80  | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 57.24/8.80  | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 57.24/8.80  | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 57.24/8.80  | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 57.24/8.80  | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 57.24/8.80  | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_23 = e0 &  ~ (unit = e1)))
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | ALPHA: (200) implies:
% 57.24/8.80  | | | | | | | | | | | |   (201)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |              e1))
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | REF_CLOSE: (5), (17), (79), (201) are inconsistent by
% 57.24/8.80  | | | | | | | | | | | |            sub-proof #154.
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | |   (202)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 57.24/8.80  | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 57.24/8.80  | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |              e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 57.24/8.80  | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 57.24/8.80  | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 57.24/8.80  | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 57.24/8.80  | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 57.24/8.80  | | | | | | | | | | | |              e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 57.24/8.80  | | | | | | | | | | | |            (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.80  | | | | | | | | | | | |            (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |                e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 57.24/8.80  | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 57.24/8.80  | | | | | | | | | | | |             ~ (unit = e0))
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | ALPHA: (202) implies:
% 57.24/8.80  | | | | | | | | | | | |   (203)   ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 57.24/8.80  | | | | | | | | | | | |              e0))
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | BETA: splitting (203) gives:
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | |   (204)   ~ (all_10_4 = e0)
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | REDUCE: (126), (204) imply:
% 57.24/8.80  | | | | | | | | | | | | |   (205)  $false
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | CLOSE: (205) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | |   (206)  all_10_3 = e4 &  ~ (unit = e0)
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | ALPHA: (206) implies:
% 57.24/8.80  | | | | | | | | | | | | |   (207)   ~ (unit = e0)
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | BETA: splitting (106) gives:
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | |   (208)  all_6_16 = e1
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | REF_CLOSE: (3), (88), (208) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | |            #163.
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | |   (209)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 57.24/8.80  | | | | | | | | | | | | | |          all_6_16 = e0
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | |   (210)  all_8_1 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | REF_CLOSE: (174), (177), (210) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | | |            #113.
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | |   (211)  all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 57.24/8.80  | | | | | | | | | | | | | | |          all_8_21 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | |   (212)  all_8_2 = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (212) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | |   (213)  all_4_1 = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | REDUCE: (95), (213) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | |   (214)   ~ (all_4_3 = e2)
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | SIMP: (214) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | |   (215)   ~ (all_4_3 = e2)
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (216)  all_6_15 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | COMBINE_EQS: (116), (216) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (217)  all_4_3 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | SIMP: (217) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (218)  all_4_3 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REDUCE: (8), (218) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (219)   ~ (all_4_8 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | SIMP: (219) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (220)   ~ (all_4_8 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REDUCE: (40), (218) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (221)  op(e1, e4) = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (33), (39), (51), (64), (78), (86),
% 57.24/8.80  | | | | | | | | | | | | | | | | |            (91), (102), (105), (120), (121), (128), (129),
% 57.24/8.80  | | | | | | | | | | | | | | | | |            (141), (158), (179), (207), (211), (220), (221)
% 57.24/8.80  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #108.
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (222)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (116), (119), (215), (222) are inconsistent
% 57.24/8.80  | | | | | | | | | | | | | | | | |            by sub-proof #106.
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | |   (223)   ~ (all_8_2 = e2)
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | REDUCE: (107), (223) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | |   (224)   ~ (all_4_1 = e2)
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (225)  all_6_5 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (225) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (226)  all_4_1 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | SIMP: (226) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (227)  all_4_1 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REDUCE: (25), (227) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (228)  op(e3, e4) = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (229)  unit = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | REDUCE: (80), (229) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (230)  op(e4, e3) = e3
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | REDUCE: (18), (229) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (231)  op(e4, e1) = e1
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | REDUCE: (27), (229) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (232)  op(e4, e4) = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | REDUCE: (22), (229) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (233)  op(e3, e4) = e3
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with e4, e3, e4, e3,
% 57.24/8.80  | | | | | | | | | | | | | | | | | |              simplifying with (228), (233) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (234)  e4 = e3
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with e3, e1, e1, e4,
% 57.24/8.80  | | | | | | | | | | | | | | | | | |              simplifying with (167), (231) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (235)  e3 = e1
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with e2, e3, e3, e4,
% 57.24/8.80  | | | | | | | | | | | | | | | | | |              simplifying with (179), (230) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (236)  e3 = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (102) with e0, e4, e4, e4,
% 57.24/8.80  | | | | | | | | | | | | | | | | | |              simplifying with (11), (232) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (237)  e4 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (234), (237) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (238)  e3 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (236), (238) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (239)  e2 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (235), (236) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (240)  e2 = e1
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (239), (240) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (241)  e1 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | REDUCE: (141), (241) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (242)  $false
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | CLOSE: (242) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (243)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (244)  all_6_16 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (88), (244) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (245)  all_4_8 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | SIMP: (245) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (246)  all_4_8 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | REDUCE: (101), (246) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (247)  op(e1, e3) = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (86), (102), (105), (128), (178), (179),
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |            (207), (243), (247) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |            #104.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (248)   ~ (all_6_16 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | REDUCE: (88), (248) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (249)   ~ (all_4_8 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (33), (39), (51), (64), (78), (86), (91),
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |            (102), (120), (121), (128), (129), (141), (179),
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |            (207), (211), (243), (249) are inconsistent by
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |            sub-proof #109.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (250)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (72), (84), (224), (250) are inconsistent by
% 57.24/8.80  | | | | | | | | | | | | | | | | |            sub-proof #102.
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | End of split
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | |   (251)  all_6_1 = e3 | all_6_1 = e0
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | REF_CLOSE: (44), (74), (163), (251) are inconsistent by
% 57.24/8.80  | | | | | | | |            sub-proof #99.
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | End of split
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | End of split
% 57.24/8.80  | | | | | | 
% 57.24/8.80  | | | | | Case 2:
% 57.24/8.80  | | | | | | 
% 57.24/8.80  | | | | | |   (252)   ~ (all_8_9 = e3)
% 57.24/8.80  | | | | | |   (253)  all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 =
% 57.24/8.80  | | | | | |          e3
% 57.24/8.80  | | | | | | 
% 57.24/8.80  | | | | | | REDUCE: (109), (252) imply:
% 57.24/8.80  | | | | | |   (254)   ~ (all_4_15 = e3)
% 57.24/8.80  | | | | | | 
% 57.24/8.80  | | | | | | BETA: splitting (30) gives:
% 57.24/8.80  | | | | | | 
% 57.24/8.80  | | | | | | Case 1:
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | |   (255)  all_8_0 = e3
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | | COMBINE_EQS: (83), (255) imply:
% 57.24/8.80  | | | | | | |   (256)  e3 = e0
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | | SIMP: (256) implies:
% 57.24/8.80  | | | | | | |   (257)  e3 = e0
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | | REDUCE: (59), (257) imply:
% 57.24/8.80  | | | | | | |   (258)  $false
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | | CLOSE: (258) is inconsistent.
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | Case 2:
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | |   (259)  all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 =
% 57.24/8.80  | | | | | | |          e3
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | | BETA: splitting (259) gives:
% 57.24/8.80  | | | | | | | 
% 57.24/8.80  | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | |   (260)  all_8_1 = e3
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | COMBINE_EQS: (113), (260) imply:
% 57.24/8.80  | | | | | | | |   (261)  all_4_5 = e3
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | REDUCE: (99), (261) imply:
% 57.24/8.80  | | | | | | | |   (262)   ~ (all_4_8 = e3)
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | SIMP: (262) implies:
% 57.24/8.80  | | | | | | | |   (263)   ~ (all_4_8 = e3)
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | REDUCE: (63), (261) imply:
% 57.24/8.80  | | | | | | | |   (264)   ~ (e4 = e3)
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | REDUCE: (6), (261) imply:
% 57.24/8.80  | | | | | | | |   (265)  op(e4, e3) = e3
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | BETA: splitting (111) gives:
% 57.24/8.80  | | | | | | | | 
% 57.24/8.80  | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | |   (266)  all_8_12 = e3
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | REF_CLOSE: (34), (119), (266) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | |            #98.
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | |   (267)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 57.24/8.80  | | | | | | | | |          all_8_19 = e3
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | BETA: splitting (267) gives:
% 57.24/8.80  | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | |   (268)  all_8_13 = e3
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | REF_CLOSE: (78), (263), (268) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | |            #136.
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | |   (269)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | BETA: splitting (269) gives:
% 57.24/8.80  | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | |   (270)  all_8_14 = e3
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | COMBINE_EQS: (12), (270) imply:
% 57.24/8.80  | | | | | | | | | | |   (271)  all_4_13 = e3
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | SIMP: (271) implies:
% 57.24/8.80  | | | | | | | | | | |   (272)  all_4_13 = e3
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | COMBINE_EQS: (23), (272) imply:
% 57.24/8.80  | | | | | | | | | | |   (273)  all_10_17 = e3
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | REDUCE: (57), (272) imply:
% 57.24/8.80  | | | | | | | | | | |   (274)   ~ (all_4_11 = e3)
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | BETA: splitting (253) gives:
% 57.24/8.80  | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | |   (275)  all_8_10 = e3
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | COMBINE_EQS: (94), (275) imply:
% 57.24/8.80  | | | | | | | | | | | |   (276)  e3 = e1
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | REDUCE: (13), (276) imply:
% 57.24/8.80  | | | | | | | | | | | |   (277)  $false
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | CLOSE: (277) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | |   (278)  all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | BETA: splitting (278) gives:
% 57.24/8.80  | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | |   (279)  all_8_11 = e3
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | COMBINE_EQS: (75), (279) imply:
% 57.24/8.80  | | | | | | | | | | | | |   (280)  e4 = e3
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | SIMP: (280) implies:
% 57.24/8.80  | | | | | | | | | | | | |   (281)  e4 = e3
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | REDUCE: (79), (281) imply:
% 57.24/8.80  | | | | | | | | | | | | |   (282)  $false
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | CLOSE: (282) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | |   (283)  all_8_15 = e3 | all_8_23 = e3
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | BETA: splitting (283) gives:
% 57.24/8.80  | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | |   (284)  all_8_15 = e3
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | COMBINE_EQS: (58), (284) imply:
% 57.24/8.80  | | | | | | | | | | | | | |   (285)  e3 = e0
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | REDUCE: (59), (285) imply:
% 57.24/8.80  | | | | | | | | | | | | | |   (286)  $false
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | CLOSE: (286) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | |   (287)  all_8_23 = e3
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | COMBINE_EQS: (103), (287) imply:
% 57.24/8.80  | | | | | | | | | | | | | |   (288)  all_4_19 = e3
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | SIMP: (288) implies:
% 57.24/8.80  | | | | | | | | | | | | | |   (289)  all_4_19 = e3
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | COMBINE_EQS: (85), (289) imply:
% 57.24/8.80  | | | | | | | | | | | | | |   (290)  all_10_23 = e3
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | REDUCE: (45), (289) imply:
% 57.24/8.80  | | | | | | | | | | | | | |   (291)   ~ (all_4_9 = e3)
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | REDUCE: (21), (289) imply:
% 57.24/8.80  | | | | | | | | | | | | | |   (292)   ~ (all_4_14 = e3)
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 57.24/8.80  | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | |   (293)  all_6_22 = e1
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | REF_CLOSE: (82), (137), (293) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | | |            #97.
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | |   (294)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 57.24/8.80  | | | | | | | | | | | | | | |          all_6_22 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | |   (295)  all_6_21 = e1
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | REF_CLOSE: (42), (135), (295) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | | | |            #162.
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | |   (296)   ~ (all_6_21 = e1)
% 57.24/8.80  | | | | | | | | | | | | | | | |   (297)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 57.24/8.80  | | | | | | | | | | | | | | | |          all_6_21 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (298)  all_8_12 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (298) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (299)  all_4_3 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | SIMP: (299) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (300)  all_4_3 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REDUCE: (95), (300) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (301)   ~ (all_4_1 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | REDUCE: (40), (300) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | |   (302)  op(e1, e4) = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (303)  all_8_2 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (303) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (304)  all_4_1 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | SIMP: (304) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (305)  all_4_1 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | REDUCE: (301), (305) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (306)  $false
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | CLOSE: (306) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (307)   ~ (all_8_2 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | |   (308)  all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 57.24/8.80  | | | | | | | | | | | | | | | | | |          all_8_17 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (309)  all_6_5 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (301), (309) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |            #96.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | |   (310)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | |   (311)  all_8_20 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (130), (311) are inconsistent by sub-proof
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | |            #95.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | |   (312)   ~ (all_8_20 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | |   (313)  all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | |          all_8_24 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (312) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | |   (314)   ~ (e4 = e1)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | |   (315)  all_8_3 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (129), (315) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | |   (316)  e4 = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (316) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | |   (317)  $false
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | CLOSE: (317) is inconsistent.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | |   (318)  all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | |   (319)  all_6_5 = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (84), (319) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | |   (320)  all_4_1 = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (320) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | |   (321)   ~ (e2 = e0)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (320) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | |   (322)  op(e3, e4) = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | |   (323)  all_6_7 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (323) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | |   (324)  all_4_11 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (324) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | |   (325)  all_4_11 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (325) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | |   (326)   ~ (all_4_14 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (326) implies:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | |   (327)   ~ (all_4_14 = e4)
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | |   (328)  all_8_21 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (328) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | |   (329)  all_4_9 = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (329) imply:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | |   (330)  op(e0, e3) = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (331)  unit = e4
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (27), (102), (105), (141), (302), (331) are
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #94.
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | |   (332)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | |   (333)  unit = e2
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.80  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (333) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (334)  op(e2, e2) = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (128), (321), (334) are inconsistent by
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #110.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (335)  unit = e3 | unit = e0
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (27), (39), (80), (86), (91), (102), (104),
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            (141), (142), (265), (322), (330), (335) are
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #93.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (336)   ~ (all_8_21 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (336) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (337)   ~ (all_4_9 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (82), (97), (98), (127), (291), (292),
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |            (294), (297), (327), (337) are inconsistent by
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #92.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (338)   ~ (all_6_7 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (338) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (339)   ~ (all_4_11 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (340)  all_8_5 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (10), (340) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (341)  all_4_11 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (341) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (342)  all_4_11 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (342) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (343)  $false
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (344)  all_8_10 = e4 | all_8_17 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (345)  all_8_10 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (94), (345) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (346)  e4 = e1
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (346) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (347)  e4 = e1
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (347) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (348)  $false
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (348) is inconsistent.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (349)  all_8_17 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (125), (349) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (350)  e4 = e3
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (350) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (351)  $false
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (351) is inconsistent.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | |   (352)  all_6_5 = e3 | all_6_5 = e0
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (72), (84), (352) are inconsistent by
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #103.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | End of split
% 57.24/8.81  | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | |   (353)  all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 57.24/8.81  | | | | | | | | | | | | | | | | |          all_8_19 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | BETA: splitting (353) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | |   (354)  all_8_13 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (78), (354) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | |   (355)  all_4_8 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | SIMP: (355) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | |   (356)  all_4_8 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | REDUCE: (8), (356) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | |   (357)   ~ (all_4_3 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | REDUCE: (19), (356) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | |   (358)   ~ (all_4_9 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | SIMP: (358) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | |   (359)   ~ (all_4_9 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | BETA: splitting (55) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | |   (360)  all_8_12 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (34), (360) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | |   (361)  all_4_3 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | SIMP: (361) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | |   (362)  all_4_3 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (362) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | |   (363)  all_10_15 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | REDUCE: (95), (362) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | |   (364)   ~ (all_4_1 = e2)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | REDUCE: (123), (362) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | |   (365)   ~ (e2 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | BETA: splitting (26) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | |   (366)  all_8_20 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (120), (130), (366) are inconsistent by sub-proof
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | |            #95.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | |   (367)  all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | |          all_8_24 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | |   (368)  all_8_21 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (121), (359), (368) are inconsistent by sub-proof
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | |            #91.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | |   (369)   ~ (all_8_21 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | |   (370)  all_8_22 = e4 | all_8_23 = e4 | all_8_24 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | |   (371)  all_8_22 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (371) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | |   (372)  all_4_14 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (372) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | |   (373)   ~ (all_4_11 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (374)  all_8_20 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (130), (374) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (375)  e2 = e1
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (375) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (376)  e2 = e1
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (365), (376) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (377)  $false
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (377) is inconsistent.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |   (378)  all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | |          all_8_24 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (379)  all_6_7 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (373), (379) are inconsistent by sub-proof
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |            #90.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | |   (380)  all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (381)  all_8_2 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (107), (381) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (382)  all_4_1 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (382) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (383)  all_4_1 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (383) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | |   (384)  op(e3, e4) = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (385)  all_6_21 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (385) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (386)  all_4_9 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (359), (386) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (387)  $false
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (387) is inconsistent.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | |   (388)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (389)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_1 = e4) | (all_10_4 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_3 = e4) | (all_10_4 = e0 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_4 = e4) |  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            & ( ~ (all_10_6 = e4) | (all_10_5 = e2 &  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (unit = e4))) & ( ~ (all_10_7 = e4) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e4))) & ( ~ (all_10_9 = e4) | (all_10_5 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_10 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_13 = e4) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_19 = e4) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e4) |  ~ (unit = e4)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_22 = e4) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2 &  ~ (unit = e4))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e4))) & ( ~ (all_10_24 = e4) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_2 = e3) | (all_10_0 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e3) | (all_10_0 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_9 = e2 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e3))) & ( ~ (all_10_8 = e3) | (all_10_9 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_13 = e3) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_15 = e3) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e3) | (all_10_16 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_18 = e3) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_16 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3) | (all_10_16 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_20 = e3) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))) & ( ~ (all_10_23 = e3) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e3))))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (17), (93), (100), (135), (290), (389) are
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #159.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (390)  (( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                &  ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_5 = e2) | (all_10_6 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_6 = e2)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_6 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e2))) & ( ~ (all_10_9 = e2) | (all_10_6 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e2))) & ( ~ (all_10_10 = e2)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_12 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_14 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2) | (all_10_14 = e0 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e2)) & ( ~ (all_10_15 = e2) | (all_10_17 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e2))) & ( ~ (all_10_16 = e2)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e2) |  ~ (unit = e2)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e2) | (all_10_17 = e0 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_19 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_21 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e2) |  ~ (unit = e2)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e2) | (all_10_22 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e2))) & ( ~ (all_10_24 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e0 &  ~ (unit = e2)))) | (( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_16 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_18 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_21 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (unit = e0)) & ( ~ (all_10_14 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_22 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (391)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_1 = e2) |  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 & 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e2))) & ( ~ (all_10_3 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_1 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_5 = e2) | (all_10_6 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_6 = e2) |  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e2))) & ( ~ (all_10_8 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_6 = e0 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_10 = e2) | (all_10_14 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e2))) & ( ~ (all_10_11 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e2) | (all_10_14 = e1 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_13 = e2) | (all_10_14 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_15 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_17 = e2) |  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2)) & ( ~ (all_10_18 = e2) | (all_10_17 = e0
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2))) & ( ~ (all_10_21 = e2) | (all_10_22 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e2))) & ( ~ (all_10_22 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e2)) & ( ~ (all_10_23 = e2) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e1 &  ~ (unit = e2))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e2) | (all_10_22 = e0 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2)))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (391) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (392)   ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (273), (363), (392) are inconsistent by
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #157.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (393)  (( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_1 = e1) | (all_10_2 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e1))) & ( ~ (all_10_2 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              |  ~ (unit = e1)) & ( ~ (all_10_3 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_2 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_4 = e1) | (all_10_2 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_5 = e1) | (all_10_7 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e4 &  ~ (unit = e1))) & ( ~ (all_10_6 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_7 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_7 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e1) | (all_10_7 = e0 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e1))) & ( ~ (all_10_9 = e1) | (all_10_7 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e3 &  ~ (unit = e1))) & ( ~ (all_10_10 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_12 = e1) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_13 = e1) | (all_10_12 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1))) & ( ~ (all_10_14 = e1)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_12 = e2 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e1) | (all_10_19 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_16 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_18 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_19 = e1) |  ~ (unit = e1)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_20 = e1) | (all_10_23 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_21 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_22 = e1) | (all_10_23 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e1))) & ( ~ (all_10_23 = e1) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1)) & ( ~ (all_10_24 = e1) | (all_10_23 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0 &  ~ (unit = e1)))) | (( ~ (all_10_0 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_3 = e3 &  ~ (unit = e0))) & (
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_1 = e0) | (all_10_3 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_2 = e0) | (all_10_3
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e1 &  ~ (unit = e0))) & ( ~ (all_10_3 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) |  ~ (unit = e0)) & ( ~ (all_10_4 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_3 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_5 = e0) | (all_10_8 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_6 = e0) | (all_10_8 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e2 &  ~ (unit = e0))) & ( ~ (all_10_7 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_8 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_8 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_9 = e0) | (all_10_8 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  e0))) & ( ~ (all_10_10 = e0) | (all_10_13
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e4 &  ~ (unit = e0))) & ( ~ (all_10_11 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0) | (all_10_13 = e3 &  ~ (unit = e0))) & (
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (all_10_12 = e0) | (all_10_13 = e1 &  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                (unit = e0))) & ( ~ (all_10_13 = e0) |  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (unit = e0)) & ( ~ (all_10_14 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_16 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_18 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_17 = e0) | (all_10_18 = e2 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_18 = e0) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)) & ( ~ (all_10_19 = e0) | (all_10_18 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1 &  ~ (unit = e0))) & ( ~ (all_10_20 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              | (all_10_24 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_21 = e0) | (all_10_24 = e3 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_22 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_24 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              (all_10_23 = e0) | (all_10_24 = e1 &  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                  = e0))) & ( ~ (all_10_24 = e0) |  ~ (unit
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | |                = e0)))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (394)  ( ~ (all_10_0 = e1) | (all_10_2 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_1 = e1) | (all_10_2 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_2 = e1) |  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_3 = e1) | (all_10_2 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_4 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_2 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_5 = e1) | (all_10_7 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_6 = e1) | (all_10_7 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e1))) & ( ~ (all_10_7 = e1) |  ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (unit = e1)) & ( ~ (all_10_8 = e1) | (all_10_7 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_9 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_10 = e1) | (all_10_12 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_11 = e1) | (all_10_12 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e1))) & ( ~ (all_10_12 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_13 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_12 = e0 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_14 = e1) | (all_10_12 = e2 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_15 = e1) | (all_10_19 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e1))) & ( ~ (all_10_16 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e3 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_17 = e1) | (all_10_19 = e2 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_18 = e1) | (all_10_19 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0 &  ~ (unit = e1))) & ( ~ (all_10_19 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_20 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e4 &  ~ (unit = e1))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_21 = e1) | (all_10_23 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e1))) & ( ~ (all_10_22 = e1) | (all_10_23 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2 &  ~ (unit = e1))) & ( ~ (all_10_23 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e1)) & ( ~ (all_10_24 = e1) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_23 = e0 &  ~ (unit = e1)))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (394) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (395)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (17), (79), (395) are inconsistent by
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #154.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (396)  ( ~ (all_10_0 = e0) | (all_10_3 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_1 = e0) | (all_10_3 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_2 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e1 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_3 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_5 = e0) | (all_10_8 = e4
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              &  ~ (unit = e0))) & ( ~ (all_10_6 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_8 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_7 = e0) | (all_10_8 = e1 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_8 = e0) |  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0)) & ( ~ (all_10_9 = e0) | (all_10_8 = e3 & 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              ~ (unit = e0))) & ( ~ (all_10_10 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e4 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_11 = e0) | (all_10_13 = e3 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_12 = e0) | (all_10_13 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_13 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0)) & ( ~ (all_10_14 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_13 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_15 = e0) | (all_10_18 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_16 = e0) | (all_10_18 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3 &  ~ (unit = e0))) & ( ~ (all_10_17 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e2 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_18 = e0) |  ~ (unit = e0)) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_19 = e0) | (all_10_18 = e1 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_20 = e0) | (all_10_24 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4 &  ~ (unit = e0))) & ( ~ (all_10_21 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_24 = e3 &  ~ (unit = e0))) & ( ~
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (all_10_22 = e0) | (all_10_24 = e2 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |                e0))) & ( ~ (all_10_23 = e0) | (all_10_24 =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e1 &  ~ (unit = e0))) & ( ~ (all_10_24 = e0) |
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             ~ (unit = e0))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (397)   ~ (all_10_4 = e0) | (all_10_3 = e4 &  ~ (unit =
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0))
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (397) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (398)   ~ (all_10_4 = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (398) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (399)  $false
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (399) is inconsistent.
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (400)  all_10_3 = e4 &  ~ (unit = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (400) implies:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (401)   ~ (unit = e0)
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (402)  all_6_7 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (43), (402) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (403)  all_4_11 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (403) imply:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (404)  op(e3, e2) = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (405)  all_8_21 = e2
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.81  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (121), (405) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (406)  all_4_9 = e2
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (406) implies:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (407)  all_4_9 = e2
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (407) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (408)  op(e0, e3) = e2
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (409)  unit = e4
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (409) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (410)  op(e4, e2) = e2
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (409) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (411)  op(e4, e4) = e4
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (409) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (412)  op(e3, e4) = e3
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (86), (409) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (413)  op(e2, e4) = e2
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (16), (62), (102), (141), (384), (410),
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (411), (412), (413) are inconsistent by sub-proof
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #89.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (414)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (22), (27), (39), (62), (86), (91), (102),
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (104), (128), (141), (401), (404), (408), (414)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #149.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (415)   ~ (all_8_21 = e2)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (415) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (416)   ~ (all_4_9 = e2)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (97), (291), (388), (416) are inconsistent
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #135.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (417)  all_6_7 = e3 | all_6_7 = e0
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (47), (274), (417) are inconsistent by
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #88.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (418)   ~ (all_8_2 = e4)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (418) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | |   (419)   ~ (all_4_1 = e4)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (420)  all_6_5 = e4
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (419), (420) are inconsistent by sub-proof
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            #96.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | |   (421)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (72), (84), (364), (421) are inconsistent by
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #102.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | |   (422)   ~ (all_8_22 = e4)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (422) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | |   (423)   ~ (all_4_14 = e4)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (42), (82), (97), (98), (127), (291), (292),
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | |            (294), (297), (359), (423) are inconsistent by
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #92.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | |   (424)   ~ (all_8_12 = e2)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | REDUCE: (34), (424) imply:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | |   (425)   ~ (all_4_3 = e2)
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (31), (116), (119), (357), (425) are
% 57.24/8.82  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #87.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | |   (426)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 57.24/8.82  | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (58), (79), (110), (120), (270), (426) are
% 57.24/8.82  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #86.
% 57.24/8.82  | | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | |   (427)  all_8_15 = e3 | all_8_19 = e3
% 57.24/8.82  | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | | REF_CLOSE: (13), (58), (59), (110), (427) are inconsistent by
% 57.24/8.82  | | | | | | | | | | |            sub-proof #156.
% 57.24/8.82  | | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | | 
% 57.24/8.82  | | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | | 
% 57.24/8.82  | | | | | | | | End of split
% 57.24/8.82  | | | | | | | | 
% 57.24/8.82  | | | | | | | Case 2:
% 57.24/8.82  | | | | | | | | 
% 57.24/8.82  | | | | | | | |   (428)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 57.24/8.82  | | | | | | | | 
% 57.24/8.82  | | | | | | | | REF_CLOSE: (2), (13), (76), (79), (109), (254), (428) are
% 57.24/8.82  | | | | | | | |            inconsistent by sub-proof #85.
% 57.24/8.82  | | | | | | | | 
% 57.24/8.82  | | | | | | | End of split
% 57.24/8.82  | | | | | | | 
% 57.24/8.82  | | | | | | End of split
% 57.24/8.82  | | | | | | 
% 57.24/8.82  | | | | | End of split
% 57.24/8.82  | | | | | 
% 57.24/8.82  | | | | End of split
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | End of split
% 57.24/8.82  | | | 
% 57.24/8.82  | | End of split
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (429)   ~ (all_8_20 = e1)
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (24), (429) imply:
% 57.24/8.82  | |   (430)   ~ (all_4_4 = e1)
% 57.24/8.82  | | 
% 57.24/8.82  | | REF_CLOSE: (13), (24), (34), (35), (123), (124), (430) are inconsistent by
% 57.24/8.82  | |            sub-proof #82.
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #82 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)   ~ (e3 = e1)
% 57.24/8.82    (2)  all_8_20 = all_4_4
% 57.24/8.82    (3)  all_8_12 = all_4_3
% 57.24/8.82    (4)  all_8_6 = e3
% 57.24/8.82    (5)   ~ (all_4_4 = e1)
% 57.24/8.82    (6)   ~ (all_4_3 = e1)
% 57.24/8.82    (7)  all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (7) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (8)  all_8_6 = e1
% 57.24/8.82  | | 
% 57.24/8.82  | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #84.
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (9)  all_8_12 = e1 | all_8_20 = e1
% 57.24/8.82  | | 
% 57.24/8.82  | | BETA: splitting (9) gives:
% 57.24/8.82  | | 
% 57.24/8.82  | | Case 1:
% 57.24/8.82  | | | 
% 57.24/8.82  | | |   (10)  all_8_12 = e1
% 57.24/8.82  | | | 
% 57.24/8.82  | | | REF_CLOSE: (3), (6), (10) are inconsistent by sub-proof #83.
% 57.24/8.82  | | | 
% 57.24/8.82  | | Case 2:
% 57.24/8.82  | | | 
% 57.24/8.82  | | |   (11)  all_8_20 = e1
% 57.24/8.82  | | | 
% 57.24/8.82  | | | COMBINE_EQS: (2), (11) imply:
% 57.24/8.82  | | |   (12)  all_4_4 = e1
% 57.24/8.82  | | | 
% 57.24/8.82  | | | SIMP: (12) implies:
% 57.24/8.82  | | |   (13)  all_4_4 = e1
% 57.24/8.82  | | | 
% 57.24/8.82  | | | REDUCE: (5), (13) imply:
% 57.24/8.82  | | |   (14)  $false
% 57.24/8.82  | | | 
% 57.24/8.82  | | | CLOSE: (14) is inconsistent.
% 57.24/8.82  | | | 
% 57.24/8.82  | | End of split
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #83 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_8_12 = all_4_3
% 57.24/8.82    (2)  all_8_12 = e1
% 57.24/8.82    (3)   ~ (all_4_3 = e1)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.82  |   (4)  all_4_3 = e1
% 57.24/8.82  | 
% 57.24/8.82  | SIMP: (4) implies:
% 57.24/8.82  |   (5)  all_4_3 = e1
% 57.24/8.82  | 
% 57.24/8.82  | REDUCE: (3), (5) imply:
% 57.24/8.82  |   (6)  $false
% 57.24/8.82  | 
% 57.24/8.82  | CLOSE: (6) is inconsistent.
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #84 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_8_6 = e3
% 57.24/8.82    (2)  all_8_6 = e1
% 57.24/8.82    (3)   ~ (e3 = e1)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.82  |   (4)  e3 = e1
% 57.24/8.82  | 
% 57.24/8.82  | SIMP: (4) implies:
% 57.24/8.82  |   (5)  e3 = e1
% 57.24/8.82  | 
% 57.24/8.82  | REDUCE: (3), (5) imply:
% 57.24/8.82  |   (6)  $false
% 57.24/8.82  | 
% 57.24/8.82  | CLOSE: (6) is inconsistent.
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #85 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_8_4 = e1
% 57.24/8.82    (2)   ~ (e3 = e1)
% 57.24/8.82    (3)  all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3
% 57.24/8.82    (4)  all_8_16 = e4
% 57.24/8.82    (5)   ~ (e4 = e3)
% 57.24/8.82    (6)  all_8_9 = all_4_15
% 57.24/8.82    (7)   ~ (all_4_15 = e3)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (3) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (8)  all_8_4 = e3
% 57.24/8.82  | | 
% 57.24/8.82  | | COMBINE_EQS: (1), (8) imply:
% 57.24/8.82  | |   (9)  e3 = e1
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (2), (9) imply:
% 57.24/8.82  | |   (10)  $false
% 57.24/8.82  | | 
% 57.24/8.82  | | CLOSE: (10) is inconsistent.
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (11)  all_8_9 = e3 | all_8_16 = e3
% 57.24/8.82  | | 
% 57.24/8.82  | | BETA: splitting (11) gives:
% 57.24/8.82  | | 
% 57.24/8.82  | | Case 1:
% 57.24/8.82  | | | 
% 57.24/8.82  | | |   (12)  all_8_9 = e3
% 57.24/8.82  | | | 
% 57.24/8.82  | | | COMBINE_EQS: (6), (12) imply:
% 57.24/8.82  | | |   (13)  all_4_15 = e3
% 57.24/8.82  | | | 
% 57.24/8.82  | | | SIMP: (13) implies:
% 57.24/8.82  | | |   (14)  all_4_15 = e3
% 57.24/8.82  | | | 
% 57.24/8.82  | | | REDUCE: (7), (14) imply:
% 57.24/8.82  | | |   (15)  $false
% 57.24/8.82  | | | 
% 57.24/8.82  | | | CLOSE: (15) is inconsistent.
% 57.24/8.82  | | | 
% 57.24/8.82  | | Case 2:
% 57.24/8.82  | | | 
% 57.24/8.82  | | |   (16)  all_8_16 = e3
% 57.24/8.82  | | | 
% 57.24/8.82  | | | COMBINE_EQS: (4), (16) imply:
% 57.24/8.82  | | |   (17)  e4 = e3
% 57.24/8.82  | | | 
% 57.24/8.82  | | | SIMP: (17) implies:
% 57.24/8.82  | | |   (18)  e4 = e3
% 57.24/8.82  | | | 
% 57.24/8.82  | | | REDUCE: (5), (18) imply:
% 57.24/8.82  | | |   (19)  $false
% 57.24/8.82  | | | 
% 57.24/8.82  | | | CLOSE: (19) is inconsistent.
% 57.24/8.82  | | | 
% 57.24/8.82  | | End of split
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #86 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 57.24/8.82    (2)   ~ (e4 = e0)
% 57.24/8.82    (3)  all_8_15 = e0
% 57.24/8.82    (4)   ~ (e4 = e3)
% 57.24/8.82    (5)  all_8_14 = e3
% 57.24/8.82    (6)  all_8_19 = e1
% 57.24/8.82    (7)   ~ (e4 = e1)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (1) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (8)  all_8_14 = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | COMBINE_EQS: (5), (8) imply:
% 57.24/8.82  | |   (9)  e4 = e3
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (4), (9) imply:
% 57.24/8.82  | |   (10)  $false
% 57.24/8.82  | | 
% 57.24/8.82  | | CLOSE: (10) is inconsistent.
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (11)  all_8_15 = e4 | all_8_19 = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | REF_CLOSE: (2), (3), (6), (7), (11) are inconsistent by sub-proof #141.
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #87 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)   ~ (all_4_3 = e0)
% 57.24/8.82    (2)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 57.24/8.82    (3)   ~ (all_4_3 = e2)
% 57.24/8.82    (4)   ~ (all_4_3 = e4)
% 57.24/8.82    (5)  all_6_15 = all_4_3
% 57.24/8.82    (6)   ~ (all_4_3 = e3)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (2) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (7)  all_6_15 = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #164.
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (8)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 57.24/8.82  | | 
% 57.24/8.82  | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #106.
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #88 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_6_7 = e3 | all_6_7 = e0
% 57.24/8.82    (2)  all_6_7 = all_4_11
% 57.24/8.82    (3)   ~ (all_4_11 = e3)
% 57.24/8.82    (4)   ~ (all_4_11 = e0)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (1) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (5)  all_6_7 = e3
% 57.24/8.82  | | 
% 57.24/8.82  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.82  | |   (6)  all_4_11 = e3
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (3), (6) imply:
% 57.24/8.82  | |   (7)  $false
% 57.24/8.82  | | 
% 57.24/8.82  | | CLOSE: (7) is inconsistent.
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (8)  all_6_7 = e0
% 57.24/8.82  | | 
% 57.24/8.82  | | COMBINE_EQS: (2), (8) imply:
% 57.24/8.82  | |   (9)  all_4_11 = e0
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (4), (9) imply:
% 57.24/8.82  | |   (10)  $false
% 57.24/8.82  | | 
% 57.24/8.82  | | CLOSE: (10) is inconsistent.
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #89 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  op(e3, e4) = e3
% 57.24/8.82    (2)  op(e4, e4) = e0
% 57.24/8.82    (3)  op(e4, e2) = e1
% 57.24/8.82    (4)  op(e4, e4) = e4
% 57.24/8.82    (5)  op(e2, e4) = e3
% 57.24/8.82    (6)   ~ (e1 = e0)
% 57.24/8.82    (7)  op(e2, e4) = e2
% 57.24/8.82    (8)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.82           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.82    (9)  op(e3, e4) = e4
% 57.24/8.82    (10)  op(e4, e2) = e2
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | GROUND_INST: instantiating (8) with e3, e2, e4, e2, simplifying with (5), (7)
% 57.24/8.82  |              gives:
% 57.24/8.82  |   (11)  e3 = e2
% 57.24/8.82  | 
% 57.24/8.82  | GROUND_INST: instantiating (8) with e4, e3, e4, e3, simplifying with (1), (9)
% 57.24/8.82  |              gives:
% 57.24/8.82  |   (12)  e4 = e3
% 57.24/8.82  | 
% 57.24/8.82  | GROUND_INST: instantiating (8) with e1, e2, e2, e4, simplifying with (3), (10)
% 57.24/8.82  |              gives:
% 57.24/8.82  |   (13)  e2 = e1
% 57.24/8.82  | 
% 57.24/8.82  | GROUND_INST: instantiating (8) with e0, e4, e4, e4, simplifying with (2), (4)
% 57.24/8.82  |              gives:
% 57.24/8.82  |   (14)  e4 = e0
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (12), (14) imply:
% 57.24/8.82  |   (15)  e3 = e0
% 57.24/8.82  | 
% 57.24/8.82  | SIMP: (15) implies:
% 57.24/8.82  |   (16)  e3 = e0
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (11), (16) imply:
% 57.24/8.82  |   (17)  e2 = e0
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (13), (17) imply:
% 57.24/8.82  |   (18)  e1 = e0
% 57.24/8.82  | 
% 57.24/8.82  | REDUCE: (6), (18) imply:
% 57.24/8.82  |   (19)  $false
% 57.24/8.82  | 
% 57.24/8.82  | CLOSE: (19) is inconsistent.
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #90 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_6_7 = all_4_11
% 57.24/8.82    (2)  all_6_7 = e4
% 57.24/8.82    (3)   ~ (all_4_11 = e4)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.82  |   (4)  all_4_11 = e4
% 57.24/8.82  | 
% 57.24/8.82  | SIMP: (4) implies:
% 57.24/8.82  |   (5)  all_4_11 = e4
% 57.24/8.82  | 
% 57.24/8.82  | REDUCE: (3), (5) imply:
% 57.24/8.82  |   (6)  $false
% 57.24/8.82  | 
% 57.24/8.82  | CLOSE: (6) is inconsistent.
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #91 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)  all_8_21 = all_4_9
% 57.24/8.82    (2)  all_8_21 = e4
% 57.24/8.82    (3)   ~ (all_4_9 = e4)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.82  |   (4)  all_4_9 = e4
% 57.24/8.82  | 
% 57.24/8.82  | SIMP: (4) implies:
% 57.24/8.82  |   (5)  all_4_9 = e4
% 57.24/8.82  | 
% 57.24/8.82  | REDUCE: (3), (5) imply:
% 57.24/8.82  |   (6)  $false
% 57.24/8.82  | 
% 57.24/8.82  | CLOSE: (6) is inconsistent.
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #92 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)   ~ (all_4_9 = e3)
% 57.24/8.82    (2)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 57.24/8.82    (3)   ~ (all_4_14 = e3)
% 57.24/8.82    (4)  all_6_21 = all_4_9
% 57.24/8.82    (5)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 57.24/8.82    (6)   ~ (all_4_14 = e4)
% 57.24/8.82    (7)  all_6_22 = all_4_14
% 57.24/8.82    (8)   ~ (all_4_9 = e0)
% 57.24/8.82    (9)   ~ (all_4_14 = e0)
% 57.24/8.82    (10)   ~ (all_4_9 = e4)
% 57.24/8.82    (11)   ~ (all_4_9 = all_4_14)
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (2) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (12)  all_6_21 = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | COMBINE_EQS: (4), (12) imply:
% 57.24/8.82  | |   (13)  all_4_9 = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (10), (13) imply:
% 57.24/8.82  | |   (14)  $false
% 57.24/8.82  | | 
% 57.24/8.82  | | CLOSE: (14) is inconsistent.
% 57.24/8.82  | | 
% 57.24/8.82  | Case 2:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (15)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 57.24/8.82  | | 
% 57.24/8.82  | | BETA: splitting (5) gives:
% 57.24/8.82  | | 
% 57.24/8.82  | | Case 1:
% 57.24/8.82  | | | 
% 57.24/8.82  | | |   (16)  all_6_22 = e4
% 57.24/8.82  | | | 
% 57.24/8.82  | | | COMBINE_EQS: (7), (16) imply:
% 57.24/8.82  | | |   (17)  all_4_14 = e4
% 57.24/8.82  | | | 
% 57.24/8.82  | | | REDUCE: (6), (17) imply:
% 57.24/8.82  | | |   (18)  $false
% 57.24/8.82  | | | 
% 57.24/8.82  | | | CLOSE: (18) is inconsistent.
% 57.24/8.82  | | | 
% 57.24/8.82  | | Case 2:
% 57.24/8.82  | | | 
% 57.24/8.82  | | |   (19)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 57.24/8.82  | | | 
% 57.24/8.82  | | | BETA: splitting (15) gives:
% 57.24/8.82  | | | 
% 57.24/8.82  | | | Case 1:
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | |   (20)  all_6_21 = e2
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | | COMBINE_EQS: (4), (20) imply:
% 57.24/8.82  | | | |   (21)  all_4_9 = e2
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | | REDUCE: (11), (21) imply:
% 57.24/8.82  | | | |   (22)   ~ (all_4_14 = e2)
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | | SIMP: (22) implies:
% 57.24/8.82  | | | |   (23)   ~ (all_4_14 = e2)
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | | REF_CLOSE: (3), (7), (9), (19), (23) are inconsistent by sub-proof #143.
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | Case 2:
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | |   (24)  all_6_21 = e3 | all_6_21 = e0
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | | REF_CLOSE: (1), (4), (8), (24) are inconsistent by sub-proof #148.
% 57.24/8.82  | | | | 
% 57.24/8.82  | | | End of split
% 57.24/8.82  | | | 
% 57.24/8.82  | | End of split
% 57.24/8.82  | | 
% 57.24/8.82  | End of split
% 57.24/8.82  | 
% 57.24/8.82  End of proof
% 57.24/8.82  
% 57.24/8.82  Sub-proof #93 shows that the following formulas are inconsistent:
% 57.24/8.82  ----------------------------------------------------------------
% 57.24/8.82    (1)   ~ (e3 = e1)
% 57.24/8.82    (2)  op(e0, e3) = e4
% 57.24/8.82    (3)  op(e4, unit) = e4
% 57.24/8.82    (4)  op(e2, e3) = e1
% 57.24/8.82    (5)  op(e0, e4) = e1
% 57.24/8.82    (6)  op(e4, e3) = e3
% 57.24/8.82    (7)  unit = e3 | unit = e0
% 57.24/8.82    (8)   ~ (e1 = e0)
% 57.24/8.82    (9)  op(unit, e3) = e3
% 57.24/8.82    (10)  op(e2, unit) = e2
% 57.24/8.82    (11)  op(e0, unit) = e0
% 57.24/8.82    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.82            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.82    (13)  op(unit, e4) = e4
% 57.24/8.82    (14)  op(e3, e4) = e2
% 57.24/8.82  
% 57.24/8.82  Begin of proof
% 57.24/8.82  | 
% 57.24/8.82  | BETA: splitting (7) gives:
% 57.24/8.82  | 
% 57.24/8.82  | Case 1:
% 57.24/8.82  | | 
% 57.24/8.82  | |   (15)  unit = e3
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (13), (15) imply:
% 57.24/8.82  | |   (16)  op(e3, e4) = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (3), (15) imply:
% 57.24/8.82  | |   (17)  op(e4, e3) = e4
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (10), (15) imply:
% 57.24/8.82  | |   (18)  op(e2, e3) = e2
% 57.24/8.82  | | 
% 57.24/8.82  | | REDUCE: (11), (15) imply:
% 57.24/8.82  | |   (19)  op(e0, e3) = e0
% 57.24/8.82  | | 
% 57.24/8.82  | | GROUND_INST: instantiating (12) with e4, e0, e3, e0, simplifying with (2),
% 57.24/8.82  | |              (19) gives:
% 57.24/8.82  | |   (20)  e4 = e0
% 57.24/8.82  | | 
% 57.24/8.82  | | GROUND_INST: instantiating (12) with e1, e2, e3, e2, simplifying with (4),
% 57.24/8.82  | |              (18) gives:
% 57.24/8.82  | |   (21)  e2 = e1
% 57.24/8.82  | | 
% 57.24/8.83  | | GROUND_INST: instantiating (12) with e2, e4, e4, e3, simplifying with (14),
% 57.24/8.83  | |              (16) gives:
% 57.24/8.83  | |   (22)  e4 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | GROUND_INST: instantiating (12) with e3, e4, e3, e4, simplifying with (6),
% 57.24/8.83  | |              (17) gives:
% 57.24/8.83  | |   (23)  e4 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (20), (23) imply:
% 57.24/8.83  | |   (24)  e3 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (22), (23) imply:
% 57.24/8.83  | |   (25)  e3 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (8), (21), (24), (25) are inconsistent by sub-proof #152.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (26)  unit = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (13), (26) imply:
% 57.24/8.83  | |   (27)  op(e0, e4) = e4
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (9), (26) imply:
% 57.24/8.83  | |   (28)  op(e0, e3) = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | GROUND_INST: instantiating (12) with e4, e3, e3, e0, simplifying with (2),
% 57.24/8.83  | |              (28) gives:
% 57.24/8.83  | |   (29)  e4 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | GROUND_INST: instantiating (12) with e1, e4, e4, e0, simplifying with (5),
% 57.24/8.83  | |              (27) gives:
% 57.24/8.83  | |   (30)  e4 = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (29), (30) imply:
% 57.24/8.83  | |   (31)  e3 = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (1), (31) imply:
% 57.24/8.83  | |   (32)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (32) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #94 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  op(e4, e4) = e0
% 57.24/8.83    (2)  op(e4, unit) = e4
% 57.24/8.83    (3)  unit = e4
% 57.24/8.83    (4)  op(e1, e4) = e4
% 57.24/8.83    (5)   ~ (e1 = e0)
% 57.24/8.83    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.83    (7)  op(e1, unit) = e1
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (2), (3) imply:
% 57.24/8.83  |   (8)  op(e4, e4) = e4
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (7) imply:
% 57.24/8.83  |   (9)  op(e1, e4) = e1
% 57.24/8.83  | 
% 57.24/8.83  | REF_CLOSE: (1), (4), (5), (6), (8), (9) are inconsistent by sub-proof #112.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #95 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_8_20 = e4
% 57.24/8.83    (2)  all_8_20 = e1
% 57.24/8.83    (3)   ~ (e4 = e1)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.83  |   (4)  e4 = e1
% 57.24/8.83  | 
% 57.24/8.83  | SIMP: (4) implies:
% 57.24/8.83  |   (5)  e4 = e1
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (5) imply:
% 57.24/8.83  |   (6)  $false
% 57.24/8.83  | 
% 57.24/8.83  | CLOSE: (6) is inconsistent.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #96 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_5 = all_4_1
% 57.24/8.83    (2)  all_6_5 = e4
% 57.24/8.83    (3)   ~ (all_4_1 = e4)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.83  |   (4)  all_4_1 = e4
% 57.24/8.83  | 
% 57.24/8.83  | SIMP: (4) implies:
% 57.24/8.83  |   (5)  all_4_1 = e4
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (5) imply:
% 57.24/8.83  |   (6)  $false
% 57.24/8.83  | 
% 57.24/8.83  | CLOSE: (6) is inconsistent.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #97 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_22 = all_4_14
% 57.24/8.83    (2)  all_6_22 = e1
% 57.24/8.83    (3)   ~ (all_4_14 = e1)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.83  |   (4)  all_4_14 = e1
% 57.24/8.83  | 
% 57.24/8.83  | SIMP: (4) implies:
% 57.24/8.83  |   (5)  all_4_14 = e1
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (5) imply:
% 57.24/8.83  |   (6)  $false
% 57.24/8.83  | 
% 57.24/8.83  | CLOSE: (6) is inconsistent.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #98 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_8_12 = all_4_3
% 57.24/8.83    (2)  all_8_12 = e3
% 57.24/8.83    (3)   ~ (all_4_3 = e3)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.83  |   (4)  all_4_3 = e3
% 57.24/8.83  | 
% 57.24/8.83  | SIMP: (4) implies:
% 57.24/8.83  |   (5)  all_4_3 = e3
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (5) imply:
% 57.24/8.83  |   (6)  $false
% 57.24/8.83  | 
% 57.24/8.83  | CLOSE: (6) is inconsistent.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #99 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_1 = e3 | all_6_1 = e0
% 57.24/8.83    (2)  all_6_1 = all_4_5
% 57.24/8.83    (3)   ~ (all_4_5 = e3)
% 57.24/8.83    (4)   ~ (all_4_5 = e0)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (1) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (5)  all_6_1 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #101.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (6)  all_6_1 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #100.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #100 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_1 = all_4_5
% 57.24/8.83    (2)  all_6_1 = e0
% 57.24/8.83    (3)   ~ (all_4_5 = e0)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.83  |   (4)  all_4_5 = e0
% 57.24/8.83  | 
% 57.24/8.83  | SIMP: (4) implies:
% 57.24/8.83  |   (5)  all_4_5 = e0
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (5) imply:
% 57.24/8.83  |   (6)  $false
% 57.24/8.83  | 
% 57.24/8.83  | CLOSE: (6) is inconsistent.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #101 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_1 = all_4_5
% 57.24/8.83    (2)  all_6_1 = e3
% 57.24/8.83    (3)   ~ (all_4_5 = e3)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.83  |   (4)  all_4_5 = e3
% 57.24/8.83  | 
% 57.24/8.83  | SIMP: (4) implies:
% 57.24/8.83  |   (5)  all_4_5 = e3
% 57.24/8.83  | 
% 57.24/8.83  | REDUCE: (3), (5) imply:
% 57.24/8.83  |   (6)  $false
% 57.24/8.83  | 
% 57.24/8.83  | CLOSE: (6) is inconsistent.
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #102 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)   ~ (all_4_1 = e0)
% 57.24/8.83    (2)   ~ (all_4_1 = e3)
% 57.24/8.83    (3)  all_6_5 = all_4_1
% 57.24/8.83    (4)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 57.24/8.83    (5)   ~ (all_4_1 = e2)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (4) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (6)  all_6_5 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (3), (6) imply:
% 57.24/8.83  | |   (7)  all_4_1 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (7) implies:
% 57.24/8.83  | |   (8)  all_4_1 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (5), (8) imply:
% 57.24/8.83  | |   (9)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (9) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (10)  all_6_5 = e3 | all_6_5 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #103.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #103 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_5 = e3 | all_6_5 = e0
% 57.24/8.83    (2)  all_6_5 = all_4_1
% 57.24/8.83    (3)   ~ (all_4_1 = e3)
% 57.24/8.83    (4)   ~ (all_4_1 = e0)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (1) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (5)  all_6_5 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.83  | |   (6)  all_4_1 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (6) implies:
% 57.24/8.83  | |   (7)  all_4_1 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (3), (7) imply:
% 57.24/8.83  | |   (8)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (8) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (9)  all_6_5 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (2), (9) imply:
% 57.24/8.83  | |   (10)  all_4_1 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (10) implies:
% 57.24/8.83  | |   (11)  all_4_1 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (4), (11) imply:
% 57.24/8.83  | |   (12)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (12) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #104 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  op(e1, e3) = e4
% 57.24/8.83    (2)  op(e4, unit) = e4
% 57.24/8.83    (3)  op(e4, e3) = e2
% 57.24/8.83    (4)  op(e2, unit) = e2
% 57.24/8.83    (5)   ~ (unit = e0)
% 57.24/8.83    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.83    (7)  op(e1, unit) = e1
% 57.24/8.83    (8)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.83    (9)   ~ (e2 = e1)
% 57.24/8.83    (10)  op(e2, e2) = e0
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (8) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (11)  unit = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (5), (11) imply:
% 57.24/8.83  | |   (12)   ~ (e2 = e0)
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (4), (11) imply:
% 57.24/8.83  | |   (13)  op(e2, e2) = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (6), (10), (12), (13) are inconsistent by sub-proof #110.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (14)  unit = e3 | unit = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (14) are inconsistent by
% 57.24/8.83  | |            sub-proof #105.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #105 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  op(e1, e3) = e4
% 57.24/8.83    (2)  op(e4, unit) = e4
% 57.24/8.83    (3)  op(e4, e3) = e2
% 57.24/8.83    (4)  unit = e3 | unit = e0
% 57.24/8.83    (5)   ~ (unit = e0)
% 57.24/8.83    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.83           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.83    (7)  op(e1, unit) = e1
% 57.24/8.83    (8)   ~ (e2 = e1)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (4) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (9)  unit = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (2), (9) imply:
% 57.24/8.83  | |   (10)  op(e4, e3) = e4
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (7), (9) imply:
% 57.24/8.83  | |   (11)  op(e1, e3) = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | GROUND_INST: instantiating (6) with e4, e1, e3, e1, simplifying with (1),
% 57.24/8.83  | |              (11) gives:
% 57.24/8.83  | |   (12)  e4 = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | GROUND_INST: instantiating (6) with e2, e4, e3, e4, simplifying with (3),
% 57.24/8.83  | |              (10) gives:
% 57.24/8.83  | |   (13)  e4 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (12), (13) imply:
% 57.24/8.83  | |   (14)  e2 = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (14) implies:
% 57.24/8.83  | |   (15)  e2 = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (8), (15) imply:
% 57.24/8.83  | |   (16)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (16) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (17)  unit = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (5), (17) imply:
% 57.24/8.83  | |   (18)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (18) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #106 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)   ~ (all_4_3 = e0)
% 57.24/8.83    (2)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 57.24/8.83    (3)   ~ (all_4_3 = e2)
% 57.24/8.83    (4)  all_6_15 = all_4_3
% 57.24/8.83    (5)   ~ (all_4_3 = e3)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (2) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (6)  all_6_15 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (4), (6) imply:
% 57.24/8.83  | |   (7)  all_4_3 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (7) implies:
% 57.24/8.83  | |   (8)  all_4_3 = e2
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (3), (8) imply:
% 57.24/8.83  | |   (9)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (9) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (10)  all_6_15 = e3 | all_6_15 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (1), (4), (5), (10) are inconsistent by sub-proof #107.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #107 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  all_6_15 = e3 | all_6_15 = e0
% 57.24/8.83    (2)  all_6_15 = all_4_3
% 57.24/8.83    (3)   ~ (all_4_3 = e3)
% 57.24/8.83    (4)   ~ (all_4_3 = e0)
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (1) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (5)  all_6_15 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.83  | |   (6)  all_4_3 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (6) implies:
% 57.24/8.83  | |   (7)  all_4_3 = e3
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (3), (7) imply:
% 57.24/8.83  | |   (8)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (8) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (9)  all_6_15 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | COMBINE_EQS: (2), (9) imply:
% 57.24/8.83  | |   (10)  all_4_3 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | SIMP: (10) implies:
% 57.24/8.83  | |   (11)  all_4_3 = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (4), (11) imply:
% 57.24/8.83  | |   (12)  $false
% 57.24/8.83  | | 
% 57.24/8.83  | | CLOSE: (12) is inconsistent.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #108 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)  op(e4, e4) = e0
% 57.24/8.83    (2)   ~ (all_4_8 = e4)
% 57.24/8.83    (3)  op(e4, unit) = e4
% 57.24/8.83    (4)  all_8_7 = e1
% 57.24/8.83    (5)  unit = e4 | unit = e3 | unit = e2 | unit = e0
% 57.24/8.83    (6)  op(e2, e3) = e1
% 57.24/8.83    (7)  op(e4, e3) = e2
% 57.24/8.83    (8)   ~ (e4 = e0)
% 57.24/8.83    (9)  op(e1, e4) = e4
% 57.24/8.83    (10)  op(e0, e3) = all_4_9
% 57.24/8.83    (11)   ~ (e1 = e0)
% 57.24/8.83    (12)  all_8_13 = all_4_8
% 57.24/8.83    (13)  all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 57.24/8.83    (14)  op(e2, unit) = e2
% 57.24/8.83    (15)  op(e0, unit) = e0
% 57.24/8.83    (16)   ~ (unit = e0)
% 57.24/8.83    (17)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.83    (18)  op(e1, unit) = e1
% 57.24/8.83    (19)   ~ (e4 = e1)
% 57.24/8.83    (20)  all_8_21 = all_4_9
% 57.24/8.83    (21)  op(e2, e2) = e0
% 57.24/8.83    (22)  all_8_3 = e0
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (5) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (23)  unit = e4
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (3), (23) imply:
% 57.24/8.83  | |   (24)  op(e4, e4) = e4
% 57.24/8.83  | | 
% 57.24/8.83  | | REDUCE: (18), (23) imply:
% 57.24/8.83  | |   (25)  op(e1, e4) = e1
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (1), (9), (11), (17), (24), (25) are inconsistent by sub-proof
% 57.24/8.83  | |            #112.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (26)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (10), (11), (12), (13), (14), (15),
% 57.24/8.83  | |            (16), (17), (19), (20), (21), (22), (26) are inconsistent by
% 57.24/8.83  | |            sub-proof #109.
% 57.24/8.83  | | 
% 57.24/8.83  | End of split
% 57.24/8.83  | 
% 57.24/8.83  End of proof
% 57.24/8.83  
% 57.24/8.83  Sub-proof #109 shows that the following formulas are inconsistent:
% 57.24/8.83  ----------------------------------------------------------------
% 57.24/8.83    (1)   ~ (all_4_8 = e4)
% 57.24/8.83    (2)  op(e4, unit) = e4
% 57.24/8.83    (3)  all_8_7 = e1
% 57.24/8.83    (4)  op(e2, e3) = e1
% 57.24/8.83    (5)  op(e4, e3) = e2
% 57.24/8.83    (6)   ~ (e4 = e0)
% 57.24/8.83    (7)  op(e0, e3) = all_4_9
% 57.24/8.83    (8)   ~ (e1 = e0)
% 57.24/8.83    (9)  all_8_13 = all_4_8
% 57.24/8.83    (10)  all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 57.24/8.83    (11)  op(e2, unit) = e2
% 57.24/8.83    (12)  op(e0, unit) = e0
% 57.24/8.83    (13)   ~ (unit = e0)
% 57.24/8.83    (14)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.83            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.83    (15)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.83    (16)   ~ (e4 = e1)
% 57.24/8.83    (17)  all_8_21 = all_4_9
% 57.24/8.83    (18)  op(e2, e2) = e0
% 57.24/8.83    (19)  all_8_3 = e0
% 57.24/8.83  
% 57.24/8.83  Begin of proof
% 57.24/8.83  | 
% 57.24/8.83  | BETA: splitting (10) gives:
% 57.24/8.83  | 
% 57.24/8.83  | Case 1:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (20)  all_8_3 = e4
% 57.24/8.83  | | 
% 57.24/8.83  | | REF_CLOSE: (6), (19), (20) are inconsistent by sub-proof #111.
% 57.24/8.83  | | 
% 57.24/8.83  | Case 2:
% 57.24/8.83  | | 
% 57.24/8.83  | |   (21)  all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 57.24/8.83  | | 
% 57.24/8.83  | | BETA: splitting (21) gives:
% 57.24/8.83  | | 
% 57.24/8.83  | | Case 1:
% 57.24/8.83  | | | 
% 57.24/8.83  | | |   (22)  all_8_7 = e4
% 57.24/8.83  | | | 
% 57.24/8.83  | | | COMBINE_EQS: (3), (22) imply:
% 57.24/8.83  | | |   (23)  e4 = e1
% 57.24/8.83  | | | 
% 57.24/8.83  | | | REDUCE: (16), (23) imply:
% 57.24/8.83  | | |   (24)  $false
% 57.24/8.83  | | | 
% 57.24/8.83  | | | CLOSE: (24) is inconsistent.
% 57.24/8.83  | | | 
% 57.24/8.83  | | Case 2:
% 57.24/8.83  | | | 
% 57.24/8.83  | | |   (25)  all_8_13 = e4 | all_8_21 = e4
% 57.24/8.83  | | | 
% 57.24/8.83  | | | BETA: splitting (25) gives:
% 57.24/8.83  | | | 
% 57.24/8.83  | | | Case 1:
% 57.24/8.83  | | | | 
% 57.24/8.83  | | | |   (26)  all_8_13 = e4
% 57.24/8.83  | | | | 
% 57.24/8.83  | | | | REF_CLOSE: (1), (9), (26) are inconsistent by sub-proof #146.
% 57.24/8.83  | | | | 
% 57.24/8.83  | | | Case 2:
% 57.24/8.83  | | | | 
% 57.24/8.83  | | | |   (27)  all_8_21 = e4
% 57.24/8.83  | | | | 
% 57.24/8.84  | | | | COMBINE_EQS: (17), (27) imply:
% 57.24/8.84  | | | |   (28)  all_4_9 = e4
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | SIMP: (28) implies:
% 57.24/8.84  | | | |   (29)  all_4_9 = e4
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | REDUCE: (7), (29) imply:
% 57.24/8.84  | | | |   (30)  op(e0, e3) = e4
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | BETA: splitting (15) gives:
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | Case 1:
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | |   (31)  unit = e2
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | | REDUCE: (13), (31) imply:
% 57.24/8.84  | | | | |   (32)   ~ (e2 = e0)
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | | REDUCE: (11), (31) imply:
% 57.24/8.84  | | | | |   (33)  op(e2, e2) = e2
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | | REF_CLOSE: (14), (18), (32), (33) are inconsistent by sub-proof #110.
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | Case 2:
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | |   (34)  unit = e3 | unit = e0
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | | BETA: splitting (34) gives:
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | | Case 1:
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | |   (35)  unit = e3
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | REDUCE: (2), (35) imply:
% 57.24/8.84  | | | | | |   (36)  op(e4, e3) = e4
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | REDUCE: (11), (35) imply:
% 57.24/8.84  | | | | | |   (37)  op(e2, e3) = e2
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | REDUCE: (12), (35) imply:
% 57.24/8.84  | | | | | |   (38)  op(e0, e3) = e0
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | GROUND_INST: instantiating (14) with e4, e0, e3, e0, simplifying
% 57.24/8.84  | | | | | |              with (30), (38) gives:
% 57.24/8.84  | | | | | |   (39)  e4 = e0
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | GROUND_INST: instantiating (14) with e1, e2, e3, e2, simplifying
% 57.24/8.84  | | | | | |              with (4), (37) gives:
% 57.24/8.84  | | | | | |   (40)  e2 = e1
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | GROUND_INST: instantiating (14) with e2, e4, e3, e4, simplifying
% 57.24/8.84  | | | | | |              with (5), (36) gives:
% 57.24/8.84  | | | | | |   (41)  e4 = e2
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | COMBINE_EQS: (39), (41) imply:
% 57.24/8.84  | | | | | |   (42)  e2 = e0
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | REF_CLOSE: (8), (40), (42) are inconsistent by sub-proof #150.
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | Case 2:
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | |   (43)  unit = e0
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | REDUCE: (13), (43) imply:
% 57.24/8.84  | | | | | |   (44)  $false
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | | CLOSE: (44) is inconsistent.
% 57.24/8.84  | | | | | | 
% 57.24/8.84  | | | | | End of split
% 57.24/8.84  | | | | | 
% 57.24/8.84  | | | | End of split
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | End of split
% 57.24/8.84  | | | 
% 57.24/8.84  | | End of split
% 57.24/8.84  | | 
% 57.24/8.84  | End of split
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #110 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.84    (2)  op(e2, e2) = e2
% 57.24/8.84    (3)  op(e2, e2) = e0
% 57.24/8.84    (4)   ~ (e2 = e0)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | GROUND_INST: instantiating (1) with e0, e2, e2, e2, simplifying with (2), (3)
% 57.24/8.84  |              gives:
% 57.24/8.84  |   (5)  e2 = e0
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (4), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #111 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_3 = e4
% 57.24/8.84    (2)  all_8_3 = e0
% 57.24/8.84    (3)   ~ (e4 = e0)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  e4 = e0
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  e4 = e0
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #112 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  op(e4, e4) = e0
% 57.24/8.84    (2)  op(e4, e4) = e4
% 57.24/8.84    (3)  op(e1, e4) = e4
% 57.24/8.84    (4)   ~ (e1 = e0)
% 57.24/8.84    (5)  op(e1, e4) = e1
% 57.24/8.84    (6)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.84           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | GROUND_INST: instantiating (6) with e4, e1, e4, e1, simplifying with (3), (5)
% 57.24/8.84  |              gives:
% 57.24/8.84  |   (7)  e4 = e1
% 57.24/8.84  | 
% 57.24/8.84  | GROUND_INST: instantiating (6) with e0, e4, e4, e4, simplifying with (1), (2)
% 57.24/8.84  |              gives:
% 57.24/8.84  |   (8)  e4 = e0
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (7), (8) imply:
% 57.24/8.84  |   (9)  e1 = e0
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (4), (9) imply:
% 57.24/8.84  |   (10)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (10) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #113 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_1 = e4
% 57.24/8.84    (2)  all_8_1 = e2
% 57.24/8.84    (3)   ~ (e4 = e2)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  e4 = e2
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  e4 = e2
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #114 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)   ~ (all_4_19 = e3)
% 57.24/8.84    (2)   ~ (all_4_19 = e0)
% 57.24/8.84    (3)   ~ (all_4_19 = e2)
% 57.24/8.84    (4)  all_6_23 = all_4_19
% 57.24/8.84    (5)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | BETA: splitting (5) gives:
% 57.24/8.84  | 
% 57.24/8.84  | Case 1:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (6)  all_6_23 = e2
% 57.24/8.84  | | 
% 57.24/8.84  | | COMBINE_EQS: (4), (6) imply:
% 57.24/8.84  | |   (7)  all_4_19 = e2
% 57.24/8.84  | | 
% 57.24/8.84  | | SIMP: (7) implies:
% 57.24/8.84  | |   (8)  all_4_19 = e2
% 57.24/8.84  | | 
% 57.24/8.84  | | REDUCE: (3), (8) imply:
% 57.24/8.84  | |   (9)  $false
% 57.24/8.84  | | 
% 57.24/8.84  | | CLOSE: (9) is inconsistent.
% 57.24/8.84  | | 
% 57.24/8.84  | Case 2:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (10)  all_6_23 = e3 | all_6_23 = e0
% 57.24/8.84  | | 
% 57.24/8.84  | | BETA: splitting (10) gives:
% 57.24/8.84  | | 
% 57.24/8.84  | | Case 1:
% 57.24/8.84  | | | 
% 57.24/8.84  | | |   (11)  all_6_23 = e3
% 57.24/8.84  | | | 
% 57.24/8.84  | | | COMBINE_EQS: (4), (11) imply:
% 57.24/8.84  | | |   (12)  all_4_19 = e3
% 57.24/8.84  | | | 
% 57.24/8.84  | | | SIMP: (12) implies:
% 57.24/8.84  | | |   (13)  all_4_19 = e3
% 57.24/8.84  | | | 
% 57.24/8.84  | | | REDUCE: (1), (13) imply:
% 57.24/8.84  | | |   (14)  $false
% 57.24/8.84  | | | 
% 57.24/8.84  | | | CLOSE: (14) is inconsistent.
% 57.24/8.84  | | | 
% 57.24/8.84  | | Case 2:
% 57.24/8.84  | | | 
% 57.24/8.84  | | |   (15)  all_6_23 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | COMBINE_EQS: (4), (15) imply:
% 57.24/8.84  | | |   (16)  all_4_19 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | SIMP: (16) implies:
% 57.24/8.84  | | |   (17)  all_4_19 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | REDUCE: (2), (17) imply:
% 57.24/8.84  | | |   (18)  $false
% 57.24/8.84  | | | 
% 57.24/8.84  | | | CLOSE: (18) is inconsistent.
% 57.24/8.84  | | | 
% 57.24/8.84  | | End of split
% 57.24/8.84  | | 
% 57.24/8.84  | End of split
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #115 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)   ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit = e3))
% 57.24/8.84    (2)  all_10_2 = e3
% 57.24/8.84    (3)  all_10_0 = e2
% 57.24/8.84    (4)   ~ (e2 = e1)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | BETA: splitting (1) gives:
% 57.24/8.84  | 
% 57.24/8.84  | Case 1:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (5)   ~ (all_10_2 = e3)
% 57.24/8.84  | | 
% 57.24/8.84  | | REDUCE: (2), (5) imply:
% 57.24/8.84  | |   (6)  $false
% 57.24/8.84  | | 
% 57.24/8.84  | | CLOSE: (6) is inconsistent.
% 57.24/8.84  | | 
% 57.24/8.84  | Case 2:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (7)  all_10_0 = e1 &  ~ (unit = e3)
% 57.24/8.84  | | 
% 57.24/8.84  | | ALPHA: (7) implies:
% 57.24/8.84  | |   (8)  all_10_0 = e1
% 57.24/8.84  | | 
% 57.24/8.84  | | COMBINE_EQS: (3), (8) imply:
% 57.24/8.84  | |   (9)  e2 = e1
% 57.24/8.84  | | 
% 57.24/8.84  | | REDUCE: (4), (9) imply:
% 57.24/8.84  | |   (10)  $false
% 57.24/8.84  | | 
% 57.24/8.84  | | CLOSE: (10) is inconsistent.
% 57.24/8.84  | | 
% 57.24/8.84  | End of split
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #116 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_1 = all_4_5
% 57.24/8.84    (2)  all_6_1 = e4
% 57.24/8.84    (3)   ~ (all_4_5 = e4)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_5 = e4
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_5 = e4
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #117 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_0 = e1
% 57.24/8.84    (2)  all_8_0 = e0
% 57.24/8.84    (3)   ~ (e1 = e0)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  e1 = e0
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  e1 = e0
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #118 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_7 = all_4_11
% 57.24/8.84    (2)  all_6_7 = e1
% 57.24/8.84    (3)   ~ (all_4_11 = e1)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_11 = e1
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_11 = e1
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #119 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_1 = all_4_5
% 57.24/8.84    (2)  all_6_1 = e1
% 57.24/8.84    (3)   ~ (all_4_5 = e1)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_5 = e1
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_5 = e1
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #120 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_12 = all_4_12
% 57.24/8.84    (2)  all_6_12 = e2
% 57.24/8.84    (3)   ~ (all_4_12 = e2)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_12 = e2
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_12 = e2
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #121 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_17 = e3
% 57.24/8.84    (2)  all_8_17 = e2
% 57.24/8.84    (3)   ~ (e3 = e2)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  e3 = e2
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  e3 = e2
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #122 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_16 = e4
% 57.24/8.84    (2)  all_8_16 = e2
% 57.24/8.84    (3)   ~ (e4 = e2)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  e4 = e2
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  e4 = e2
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #123 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)   ~ (all_4_6 = e0)
% 57.24/8.84    (2)  all_8_3 = all_4_6
% 57.24/8.84    (3)  all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 57.24/8.84    (4)  all_8_7 = all_4_7
% 57.24/8.84    (5)   ~ (all_4_7 = e0)
% 57.24/8.84    (6)  all_8_13 = all_4_8
% 57.24/8.84    (7)   ~ (all_4_8 = e0)
% 57.24/8.84    (8)   ~ (all_4_9 = e0)
% 57.24/8.84    (9)  all_8_21 = all_4_9
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | BETA: splitting (3) gives:
% 57.24/8.84  | 
% 57.24/8.84  | Case 1:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (10)  all_8_3 = e0
% 57.24/8.84  | | 
% 57.24/8.84  | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #125.
% 57.24/8.84  | | 
% 57.24/8.84  | Case 2:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (11)  all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 57.24/8.84  | | 
% 57.24/8.84  | | BETA: splitting (11) gives:
% 57.24/8.84  | | 
% 57.24/8.84  | | Case 1:
% 57.24/8.84  | | | 
% 57.24/8.84  | | |   (12)  all_8_7 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | COMBINE_EQS: (4), (12) imply:
% 57.24/8.84  | | |   (13)  all_4_7 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | REDUCE: (5), (13) imply:
% 57.24/8.84  | | |   (14)  $false
% 57.24/8.84  | | | 
% 57.24/8.84  | | | CLOSE: (14) is inconsistent.
% 57.24/8.84  | | | 
% 57.24/8.84  | | Case 2:
% 57.24/8.84  | | | 
% 57.24/8.84  | | |   (15)  all_8_13 = e0 | all_8_21 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | BETA: splitting (15) gives:
% 57.24/8.84  | | | 
% 57.24/8.84  | | | Case 1:
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | |   (16)  all_8_13 = e0
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | REF_CLOSE: (6), (7), (16) are inconsistent by sub-proof #124.
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | Case 2:
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | |   (17)  all_8_21 = e0
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | COMBINE_EQS: (9), (17) imply:
% 57.24/8.84  | | | |   (18)  all_4_9 = e0
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | SIMP: (18) implies:
% 57.24/8.84  | | | |   (19)  all_4_9 = e0
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | REDUCE: (8), (19) imply:
% 57.24/8.84  | | | |   (20)  $false
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | | CLOSE: (20) is inconsistent.
% 57.24/8.84  | | | | 
% 57.24/8.84  | | | End of split
% 57.24/8.84  | | | 
% 57.24/8.84  | | End of split
% 57.24/8.84  | | 
% 57.24/8.84  | End of split
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #124 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_13 = all_4_8
% 57.24/8.84    (2)  all_8_13 = e0
% 57.24/8.84    (3)   ~ (all_4_8 = e0)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_8 = e0
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_8 = e0
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #125 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_3 = all_4_6
% 57.24/8.84    (2)  all_8_3 = e0
% 57.24/8.84    (3)   ~ (all_4_6 = e0)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_6 = e0
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_6 = e0
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #126 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)   ~ (all_4_20 = e4)
% 57.24/8.84    (2)   ~ (all_4_20 = e2)
% 57.24/8.84    (3)   ~ (all_4_20 = e0)
% 57.24/8.84    (4)  all_6_4 = all_4_20
% 57.24/8.84    (5)   ~ (all_4_20 = e3)
% 57.24/8.84    (6)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | BETA: splitting (6) gives:
% 57.24/8.84  | 
% 57.24/8.84  | Case 1:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (7)  all_6_4 = e4
% 57.24/8.84  | | 
% 57.24/8.84  | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #130.
% 57.24/8.84  | | 
% 57.24/8.84  | Case 2:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (8)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 57.24/8.84  | | 
% 57.24/8.84  | | REF_CLOSE: (2), (3), (4), (5), (8) are inconsistent by sub-proof #127.
% 57.24/8.84  | | 
% 57.24/8.84  | End of split
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #127 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)   ~ (all_4_20 = e2)
% 57.24/8.84    (2)   ~ (all_4_20 = e0)
% 57.24/8.84    (3)  all_6_4 = all_4_20
% 57.24/8.84    (4)   ~ (all_4_20 = e3)
% 57.24/8.84    (5)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | BETA: splitting (5) gives:
% 57.24/8.84  | 
% 57.24/8.84  | Case 1:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (6)  all_6_4 = e2
% 57.24/8.84  | | 
% 57.24/8.84  | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #129.
% 57.24/8.84  | | 
% 57.24/8.84  | Case 2:
% 57.24/8.84  | | 
% 57.24/8.84  | |   (7)  all_6_4 = e3 | all_6_4 = e0
% 57.24/8.84  | | 
% 57.24/8.84  | | BETA: splitting (7) gives:
% 57.24/8.84  | | 
% 57.24/8.84  | | Case 1:
% 57.24/8.84  | | | 
% 57.24/8.84  | | |   (8)  all_6_4 = e3
% 57.24/8.84  | | | 
% 57.24/8.84  | | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #128.
% 57.24/8.84  | | | 
% 57.24/8.84  | | Case 2:
% 57.24/8.84  | | | 
% 57.24/8.84  | | |   (9)  all_6_4 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | COMBINE_EQS: (3), (9) imply:
% 57.24/8.84  | | |   (10)  all_4_20 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | SIMP: (10) implies:
% 57.24/8.84  | | |   (11)  all_4_20 = e0
% 57.24/8.84  | | | 
% 57.24/8.84  | | | REDUCE: (2), (11) imply:
% 57.24/8.84  | | |   (12)  $false
% 57.24/8.84  | | | 
% 57.24/8.84  | | | CLOSE: (12) is inconsistent.
% 57.24/8.84  | | | 
% 57.24/8.84  | | End of split
% 57.24/8.84  | | 
% 57.24/8.84  | End of split
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #128 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_4 = all_4_20
% 57.24/8.84    (2)  all_6_4 = e3
% 57.24/8.84    (3)   ~ (all_4_20 = e3)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_20 = e3
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_20 = e3
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #129 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_4 = all_4_20
% 57.24/8.84    (2)  all_6_4 = e2
% 57.24/8.84    (3)   ~ (all_4_20 = e2)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_20 = e2
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_20 = e2
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #130 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_6_4 = all_4_20
% 57.24/8.84    (2)  all_6_4 = e4
% 57.24/8.84    (3)   ~ (all_4_20 = e4)
% 57.24/8.84  
% 57.24/8.84  Begin of proof
% 57.24/8.84  | 
% 57.24/8.84  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.84  |   (4)  all_4_20 = e4
% 57.24/8.84  | 
% 57.24/8.84  | SIMP: (4) implies:
% 57.24/8.84  |   (5)  all_4_20 = e4
% 57.24/8.84  | 
% 57.24/8.84  | REDUCE: (3), (5) imply:
% 57.24/8.84  |   (6)  $false
% 57.24/8.84  | 
% 57.24/8.84  | CLOSE: (6) is inconsistent.
% 57.24/8.84  | 
% 57.24/8.84  End of proof
% 57.24/8.84  
% 57.24/8.84  Sub-proof #131 shows that the following formulas are inconsistent:
% 57.24/8.84  ----------------------------------------------------------------
% 57.24/8.84    (1)  all_8_4 = e1
% 57.24/8.84    (2)   ~ (e3 = e0)
% 57.24/8.84    (3)   ~ (e1 = e0)
% 57.24/8.85    (4)  all_8_16 = e3
% 57.24/8.85    (5)  all_8_9 = all_4_15
% 57.24/8.85    (6)  all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 57.24/8.85    (7)   ~ (all_4_15 = e0)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (6) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (8)  all_8_4 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | REF_CLOSE: (1), (3), (8) are inconsistent by sub-proof #191.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (9)  all_8_9 = e0 | all_8_16 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | BETA: splitting (9) gives:
% 57.24/8.85  | | 
% 57.24/8.85  | | Case 1:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (10)  all_8_9 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (5), (10) imply:
% 57.24/8.85  | | |   (11)  all_4_15 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (7), (11) imply:
% 57.24/8.85  | | |   (12)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (12) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | Case 2:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (13)  all_8_16 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (4), (13) imply:
% 57.24/8.85  | | |   (14)  e3 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | SIMP: (14) implies:
% 57.24/8.85  | | |   (15)  e3 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (2), (15) imply:
% 57.24/8.85  | | |   (16)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (16) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | End of split
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #132 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_8_18 = e2
% 57.24/8.85    (2)   ~ (e1 = e0)
% 57.24/8.85    (3)  all_8_11 = e4
% 57.24/8.85    (4)  all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1
% 57.24/8.85    (5)  all_8_8 = e0
% 57.24/8.85    (6)   ~ (e4 = e1)
% 57.24/8.85    (7)   ~ (e2 = e1)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (4) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (8)  all_8_8 = e1
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (5), (8) imply:
% 57.24/8.85  | |   (9)  e1 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | SIMP: (9) implies:
% 57.24/8.85  | |   (10)  e1 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (2), (10) imply:
% 57.24/8.85  | |   (11)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (11) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (12)  all_8_11 = e1 | all_8_18 = e1
% 57.24/8.85  | | 
% 57.24/8.85  | | BETA: splitting (12) gives:
% 57.24/8.85  | | 
% 57.24/8.85  | | Case 1:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (13)  all_8_11 = e1
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (3), (13) imply:
% 57.24/8.85  | | |   (14)  e4 = e1
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (6), (14) imply:
% 57.24/8.85  | | |   (15)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (15) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | Case 2:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (16)  all_8_18 = e1
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (1), (16) imply:
% 57.24/8.85  | | |   (17)  e2 = e1
% 57.24/8.85  | | | 
% 57.24/8.85  | | | SIMP: (17) implies:
% 57.24/8.85  | | |   (18)  e2 = e1
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (7), (18) imply:
% 57.24/8.85  | | |   (19)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (19) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | End of split
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #133 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_8_0 = e4
% 57.24/8.85    (2)  all_8_0 = e2
% 57.24/8.85    (3)   ~ (e4 = e2)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.85  |   (4)  e4 = e2
% 57.24/8.85  | 
% 57.24/8.85  | SIMP: (4) implies:
% 57.24/8.85  |   (5)  e4 = e2
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (5) imply:
% 57.24/8.85  |   (6)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (6) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #134 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)   ~ (all_4_17 = e0)
% 57.24/8.85    (2)  all_6_13 = all_4_17
% 57.24/8.85    (3)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 57.24/8.85    (4)   ~ (all_4_17 = e2)
% 57.24/8.85    (5)   ~ (all_4_17 = e3)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (3) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (6)  all_6_13 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (2), (6) imply:
% 57.24/8.85  | |   (7)  all_4_17 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | SIMP: (7) implies:
% 57.24/8.85  | |   (8)  all_4_17 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (4), (8) imply:
% 57.24/8.85  | |   (9)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (9) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (10)  all_6_13 = e3 | all_6_13 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | BETA: splitting (10) gives:
% 57.24/8.85  | | 
% 57.24/8.85  | | Case 1:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (11)  all_6_13 = e3
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (2), (11) imply:
% 57.24/8.85  | | |   (12)  all_4_17 = e3
% 57.24/8.85  | | | 
% 57.24/8.85  | | | SIMP: (12) implies:
% 57.24/8.85  | | |   (13)  all_4_17 = e3
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (5), (13) imply:
% 57.24/8.85  | | |   (14)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (14) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | Case 2:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (15)  all_6_13 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (2), (15) imply:
% 57.24/8.85  | | |   (16)  all_4_17 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | SIMP: (16) implies:
% 57.24/8.85  | | |   (17)  all_4_17 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (1), (17) imply:
% 57.24/8.85  | | |   (18)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (18) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | End of split
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #135 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)   ~ (all_4_9 = e3)
% 57.24/8.85    (2)   ~ (all_4_9 = e2)
% 57.24/8.85    (3)  all_6_21 = all_4_9
% 57.24/8.85    (4)   ~ (all_4_9 = e0)
% 57.24/8.85    (5)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (5) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (6)  all_6_21 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (3), (6) imply:
% 57.24/8.85  | |   (7)  all_4_9 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | SIMP: (7) implies:
% 57.24/8.85  | |   (8)  all_4_9 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (2), (8) imply:
% 57.24/8.85  | |   (9)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (9) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (10)  all_6_21 = e3 | all_6_21 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #148.
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #136 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_8_13 = all_4_8
% 57.24/8.85    (2)  all_8_13 = e3
% 57.24/8.85    (3)   ~ (all_4_8 = e3)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.85  |   (4)  all_4_8 = e3
% 57.24/8.85  | 
% 57.24/8.85  | SIMP: (4) implies:
% 57.24/8.85  |   (5)  all_4_8 = e3
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (5) imply:
% 57.24/8.85  |   (6)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (6) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #137 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)   ~ (e3 = e1)
% 57.24/8.85    (2)  op(e4, e0) = e3
% 57.24/8.85    (3)  op(e3, unit) = e3
% 57.24/8.85    (4)  op(e4, unit) = e4
% 57.24/8.85    (5)  op(e0, e4) = e1
% 57.24/8.85    (6)  unit = e3 | unit = e0
% 57.24/8.85    (7)  op(e1, e3) = e3
% 57.24/8.85    (8)  op(e3, e3) = e2
% 57.24/8.85    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.85    (10)  op(unit, e4) = e4
% 57.24/8.85    (11)  op(e1, unit) = e1
% 57.24/8.85    (12)   ~ (e2 = e1)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (6) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (13)  unit = e3
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (3), (13) imply:
% 57.24/8.85  | |   (14)  op(e3, e3) = e3
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (11), (13) imply:
% 57.24/8.85  | |   (15)  op(e1, e3) = e1
% 57.24/8.85  | | 
% 57.24/8.85  | | REF_CLOSE: (7), (8), (9), (12), (14), (15) are inconsistent by sub-proof
% 57.24/8.85  | |            #139.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (16)  unit = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (10), (16) imply:
% 57.24/8.85  | |   (17)  op(e0, e4) = e4
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (4), (16) imply:
% 57.24/8.85  | |   (18)  op(e4, e0) = e4
% 57.24/8.85  | | 
% 57.24/8.85  | | REF_CLOSE: (1), (2), (5), (9), (17), (18) are inconsistent by sub-proof
% 57.24/8.85  | |            #138.
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #138 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)   ~ (e3 = e1)
% 57.24/8.85    (2)  op(e4, e0) = e3
% 57.24/8.85    (3)  op(e4, e0) = e4
% 57.24/8.85    (4)  op(e0, e4) = e1
% 57.24/8.85    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.85    (6)  op(e0, e4) = e4
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | GROUND_INST: instantiating (5) with e1, e4, e4, e0, simplifying with (4), (6)
% 57.24/8.85  |              gives:
% 57.24/8.85  |   (7)  e4 = e1
% 57.24/8.85  | 
% 57.24/8.85  | GROUND_INST: instantiating (5) with e3, e4, e0, e4, simplifying with (2), (3)
% 57.24/8.85  |              gives:
% 57.24/8.85  |   (8)  e4 = e3
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (7), (8) imply:
% 57.24/8.85  |   (9)  e3 = e1
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (1), (9) imply:
% 57.24/8.85  |   (10)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (10) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #139 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  op(e1, e3) = e1
% 57.24/8.85    (2)  op(e1, e3) = e3
% 57.24/8.85    (3)  op(e3, e3) = e2
% 57.24/8.85    (4)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.85    (5)  op(e3, e3) = e3
% 57.24/8.85    (6)   ~ (e2 = e1)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | GROUND_INST: instantiating (4) with e3, e1, e3, e1, simplifying with (1), (2)
% 57.24/8.85  |              gives:
% 57.24/8.85  |   (7)  e3 = e1
% 57.24/8.85  | 
% 57.24/8.85  | GROUND_INST: instantiating (4) with e2, e3, e3, e3, simplifying with (3), (5)
% 57.24/8.85  |              gives:
% 57.24/8.85  |   (8)  e3 = e2
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (7), (8) imply:
% 57.24/8.85  |   (9)  e2 = e1
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (6), (9) imply:
% 57.24/8.85  |   (10)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (10) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #140 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  op(e4, e2) = e1
% 57.24/8.85    (2)  op(unit, e2) = e2
% 57.24/8.85    (3)  unit = e4
% 57.24/8.85    (4)  op(e2, e4) = e3
% 57.24/8.85    (5)   ~ (e1 = e0)
% 57.24/8.85    (6)  op(unit, e3) = e3
% 57.24/8.85    (7)  op(e2, unit) = e2
% 57.24/8.85    (8)  op(e4, e3) = e0
% 57.24/8.85    (9)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.85           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (6) imply:
% 57.24/8.85  |   (10)  op(e4, e3) = e3
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (2), (3) imply:
% 57.24/8.85  |   (11)  op(e4, e2) = e2
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (7) imply:
% 57.24/8.85  |   (12)  op(e2, e4) = e2
% 57.24/8.85  | 
% 57.24/8.85  | REF_CLOSE: (1), (4), (5), (8), (9), (10), (11), (12) are inconsistent by
% 57.24/8.85  |            sub-proof #151.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #141 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)   ~ (e4 = e0)
% 57.24/8.85    (2)  all_8_15 = e0
% 57.24/8.85    (3)  all_8_15 = e4 | all_8_19 = e4
% 57.24/8.85    (4)  all_8_19 = e1
% 57.24/8.85    (5)   ~ (e4 = e1)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (3) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (6)  all_8_15 = e4
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (2), (6) imply:
% 57.24/8.85  | |   (7)  e4 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (1), (7) imply:
% 57.24/8.85  | |   (8)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (8) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (9)  all_8_19 = e4
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (4), (9) imply:
% 57.24/8.85  | |   (10)  e4 = e1
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (5), (10) imply:
% 57.24/8.85  | |   (11)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (11) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #142 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)   ~ (all_4_14 = e3)
% 57.24/8.85    (2)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 57.24/8.85    (3)   ~ (all_4_14 = e4)
% 57.24/8.85    (4)   ~ (all_4_14 = e2)
% 57.24/8.85    (5)  all_6_22 = all_4_14
% 57.24/8.85    (6)   ~ (all_4_14 = e0)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (2) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (7)  all_6_22 = e4
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (5), (7) imply:
% 57.24/8.85  | |   (8)  all_4_14 = e4
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (3), (8) imply:
% 57.24/8.85  | |   (9)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (9) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (10)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | REF_CLOSE: (1), (4), (5), (6), (10) are inconsistent by sub-proof #143.
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #143 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 57.24/8.85    (2)   ~ (all_4_14 = e3)
% 57.24/8.85    (3)   ~ (all_4_14 = e2)
% 57.24/8.85    (4)  all_6_22 = all_4_14
% 57.24/8.85    (5)   ~ (all_4_14 = e0)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (1) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (6)  all_6_22 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #145.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (7)  all_6_22 = e3 | all_6_22 = e0
% 57.24/8.85  | | 
% 57.24/8.85  | | BETA: splitting (7) gives:
% 57.24/8.85  | | 
% 57.24/8.85  | | Case 1:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (8)  all_6_22 = e3
% 57.24/8.85  | | | 
% 57.24/8.85  | | | COMBINE_EQS: (4), (8) imply:
% 57.24/8.85  | | |   (9)  all_4_14 = e3
% 57.24/8.85  | | | 
% 57.24/8.85  | | | SIMP: (9) implies:
% 57.24/8.85  | | |   (10)  all_4_14 = e3
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REDUCE: (2), (10) imply:
% 57.24/8.85  | | |   (11)  $false
% 57.24/8.85  | | | 
% 57.24/8.85  | | | CLOSE: (11) is inconsistent.
% 57.24/8.85  | | | 
% 57.24/8.85  | | Case 2:
% 57.24/8.85  | | | 
% 57.24/8.85  | | |   (12)  all_6_22 = e0
% 57.24/8.85  | | | 
% 57.24/8.85  | | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #144.
% 57.24/8.85  | | | 
% 57.24/8.85  | | End of split
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #144 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_6_22 = all_4_14
% 57.24/8.85    (2)  all_6_22 = e0
% 57.24/8.85    (3)   ~ (all_4_14 = e0)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.85  |   (4)  all_4_14 = e0
% 57.24/8.85  | 
% 57.24/8.85  | SIMP: (4) implies:
% 57.24/8.85  |   (5)  all_4_14 = e0
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (5) imply:
% 57.24/8.85  |   (6)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (6) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #145 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_6_22 = all_4_14
% 57.24/8.85    (2)  all_6_22 = e2
% 57.24/8.85    (3)   ~ (all_4_14 = e2)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.85  |   (4)  all_4_14 = e2
% 57.24/8.85  | 
% 57.24/8.85  | SIMP: (4) implies:
% 57.24/8.85  |   (5)  all_4_14 = e2
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (5) imply:
% 57.24/8.85  |   (6)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (6) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #146 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_8_13 = all_4_8
% 57.24/8.85    (2)  all_8_13 = e4
% 57.24/8.85    (3)   ~ (all_4_8 = e4)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.85  |   (4)  all_4_8 = e4
% 57.24/8.85  | 
% 57.24/8.85  | SIMP: (4) implies:
% 57.24/8.85  |   (5)  all_4_8 = e4
% 57.24/8.85  | 
% 57.24/8.85  | REDUCE: (3), (5) imply:
% 57.24/8.85  |   (6)  $false
% 57.24/8.85  | 
% 57.24/8.85  | CLOSE: (6) is inconsistent.
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #147 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_8_10 = e2 | all_8_17 = e2
% 57.24/8.85    (2)  all_8_10 = e1
% 57.24/8.85    (3)   ~ (e4 = e2)
% 57.24/8.85    (4)  all_8_17 = e4
% 57.24/8.85    (5)   ~ (e2 = e1)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (1) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (6)  all_8_10 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (2), (6) imply:
% 57.24/8.85  | |   (7)  e2 = e1
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (5), (7) imply:
% 57.24/8.85  | |   (8)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (8) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | Case 2:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (9)  all_8_17 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (4), (9) imply:
% 57.24/8.85  | |   (10)  e4 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | SIMP: (10) implies:
% 57.24/8.85  | |   (11)  e4 = e2
% 57.24/8.85  | | 
% 57.24/8.85  | | REDUCE: (3), (11) imply:
% 57.24/8.85  | |   (12)  $false
% 57.24/8.85  | | 
% 57.24/8.85  | | CLOSE: (12) is inconsistent.
% 57.24/8.85  | | 
% 57.24/8.85  | End of split
% 57.24/8.85  | 
% 57.24/8.85  End of proof
% 57.24/8.85  
% 57.24/8.85  Sub-proof #148 shows that the following formulas are inconsistent:
% 57.24/8.85  ----------------------------------------------------------------
% 57.24/8.85    (1)  all_6_21 = e3 | all_6_21 = e0
% 57.24/8.85    (2)  all_6_21 = all_4_9
% 57.24/8.85    (3)   ~ (all_4_9 = e3)
% 57.24/8.85    (4)   ~ (all_4_9 = e0)
% 57.24/8.85  
% 57.24/8.85  Begin of proof
% 57.24/8.85  | 
% 57.24/8.85  | BETA: splitting (1) gives:
% 57.24/8.85  | 
% 57.24/8.85  | Case 1:
% 57.24/8.85  | | 
% 57.24/8.85  | |   (5)  all_6_21 = e3
% 57.24/8.85  | | 
% 57.24/8.85  | | COMBINE_EQS: (2), (5) imply:
% 57.24/8.85  | |   (6)  all_4_9 = e3
% 57.24/8.85  | | 
% 57.24/8.85  | | SIMP: (6) implies:
% 57.24/8.85  | |   (7)  all_4_9 = e3
% 57.24/8.85  | | 
% 57.24/8.86  | | REDUCE: (3), (7) imply:
% 57.24/8.86  | |   (8)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (8) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | Case 2:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (9)  all_6_21 = e0
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (2), (9) imply:
% 57.24/8.86  | |   (10)  all_4_9 = e0
% 57.24/8.86  | | 
% 57.24/8.86  | | SIMP: (10) implies:
% 57.24/8.86  | |   (11)  all_4_9 = e0
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (4), (11) imply:
% 57.24/8.86  | |   (12)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (12) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | End of split
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #149 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  op(e4, e2) = e1
% 57.24/8.86    (2)  op(e0, e3) = e2
% 57.24/8.86    (3)  op(e3, unit) = e3
% 57.24/8.86    (4)  op(e4, unit) = e4
% 57.24/8.86    (5)  op(e2, e3) = e1
% 57.24/8.86    (6)  op(e3, e2) = e2
% 57.24/8.86    (7)  op(e2, e4) = e3
% 57.24/8.86    (8)   ~ (e1 = e0)
% 57.24/8.86    (9)  op(e2, unit) = e2
% 57.24/8.86    (10)  op(e0, unit) = e0
% 57.24/8.86    (11)   ~ (unit = e0)
% 57.24/8.86    (12)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.86            (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.86    (13)  op(unit, e4) = e4
% 57.24/8.86    (14)  unit = e3 | unit = e2 | unit = e0
% 57.24/8.86    (15)  op(e2, e2) = e0
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | BETA: splitting (14) gives:
% 57.24/8.86  | 
% 57.24/8.86  | Case 1:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (16)  unit = e2
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (13), (16) imply:
% 57.24/8.86  | |   (17)  op(e2, e4) = e4
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (4), (16) imply:
% 57.24/8.86  | |   (18)  op(e4, e2) = e4
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (3), (16) imply:
% 57.24/8.86  | |   (19)  op(e3, e2) = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (9), (16) imply:
% 57.24/8.86  | |   (20)  op(e2, e2) = e2
% 57.24/8.86  | | 
% 57.24/8.86  | | GROUND_INST: instantiating (12) with e0, e2, e2, e2, simplifying with (15),
% 57.24/8.86  | |              (20) gives:
% 57.24/8.86  | |   (21)  e2 = e0
% 57.24/8.86  | | 
% 57.24/8.86  | | GROUND_INST: instantiating (12) with e3, e4, e4, e2, simplifying with (7),
% 57.24/8.86  | |              (17) gives:
% 57.24/8.86  | |   (22)  e4 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | GROUND_INST: instantiating (12) with e2, e3, e2, e3, simplifying with (6),
% 57.24/8.86  | |              (19) gives:
% 57.24/8.86  | |   (23)  e3 = e2
% 57.24/8.86  | | 
% 57.24/8.86  | | GROUND_INST: instantiating (12) with e1, e4, e2, e4, simplifying with (1),
% 57.24/8.86  | |              (18) gives:
% 57.24/8.86  | |   (24)  e4 = e1
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (22), (24) imply:
% 57.24/8.86  | |   (25)  e3 = e1
% 57.24/8.86  | | 
% 57.24/8.86  | | SIMP: (25) implies:
% 57.24/8.86  | |   (26)  e3 = e1
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (23), (26) imply:
% 57.24/8.86  | |   (27)  e2 = e1
% 57.24/8.86  | | 
% 57.24/8.86  | | SIMP: (27) implies:
% 57.24/8.86  | |   (28)  e2 = e1
% 57.24/8.86  | | 
% 57.24/8.86  | | REF_CLOSE: (8), (21), (28) are inconsistent by sub-proof #150.
% 57.24/8.86  | | 
% 57.24/8.86  | Case 2:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (29)  unit = e3 | unit = e0
% 57.24/8.86  | | 
% 57.24/8.86  | | BETA: splitting (29) gives:
% 57.24/8.86  | | 
% 57.24/8.86  | | Case 1:
% 57.24/8.86  | | | 
% 57.24/8.86  | | |   (30)  unit = e3
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REDUCE: (9), (30) imply:
% 57.24/8.86  | | |   (31)  op(e2, e3) = e2
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REDUCE: (10), (30) imply:
% 57.24/8.86  | | |   (32)  op(e0, e3) = e0
% 57.24/8.86  | | | 
% 57.24/8.86  | | | GROUND_INST: instantiating (12) with e2, e0, e3, e0, simplifying with (2),
% 57.24/8.86  | | |              (32) gives:
% 57.24/8.86  | | |   (33)  e2 = e0
% 57.24/8.86  | | | 
% 57.24/8.86  | | | GROUND_INST: instantiating (12) with e1, e2, e3, e2, simplifying with (5),
% 57.24/8.86  | | |              (31) gives:
% 57.24/8.86  | | |   (34)  e2 = e1
% 57.24/8.86  | | | 
% 57.24/8.86  | | | COMBINE_EQS: (33), (34) imply:
% 57.24/8.86  | | |   (35)  e1 = e0
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REDUCE: (8), (35) imply:
% 57.24/8.86  | | |   (36)  $false
% 57.24/8.86  | | | 
% 57.24/8.86  | | | CLOSE: (36) is inconsistent.
% 57.24/8.86  | | | 
% 57.24/8.86  | | Case 2:
% 57.24/8.86  | | | 
% 57.24/8.86  | | |   (37)  unit = e0
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REDUCE: (11), (37) imply:
% 57.24/8.86  | | |   (38)  $false
% 57.24/8.86  | | | 
% 57.24/8.86  | | | CLOSE: (38) is inconsistent.
% 57.24/8.86  | | | 
% 57.24/8.86  | | End of split
% 57.24/8.86  | | 
% 57.24/8.86  | End of split
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #150 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  e2 = e1
% 57.24/8.86    (2)  e2 = e0
% 57.24/8.86    (3)   ~ (e1 = e0)
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.86  |   (4)  e1 = e0
% 57.24/8.86  | 
% 57.24/8.86  | SIMP: (4) implies:
% 57.24/8.86  |   (5)  e1 = e0
% 57.24/8.86  | 
% 57.24/8.86  | REDUCE: (3), (5) imply:
% 57.24/8.86  |   (6)  $false
% 57.24/8.86  | 
% 57.24/8.86  | CLOSE: (6) is inconsistent.
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #151 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  op(e4, e2) = e1
% 57.24/8.86    (2)  op(e2, e4) = e3
% 57.24/8.86    (3)  op(e4, e3) = e3
% 57.24/8.86    (4)   ~ (e1 = e0)
% 57.24/8.86    (5)  op(e4, e3) = e0
% 57.24/8.86    (6)  op(e2, e4) = e2
% 57.24/8.86    (7)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.86    (8)  op(e4, e2) = e2
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | GROUND_INST: instantiating (7) with e3, e2, e4, e2, simplifying with (2), (6)
% 57.24/8.86  |              gives:
% 57.24/8.86  |   (9)  e3 = e2
% 57.24/8.86  | 
% 57.24/8.86  | GROUND_INST: instantiating (7) with e1, e2, e2, e4, simplifying with (1), (8)
% 57.24/8.86  |              gives:
% 57.24/8.86  |   (10)  e2 = e1
% 57.24/8.86  | 
% 57.24/8.86  | GROUND_INST: instantiating (7) with e0, e3, e3, e4, simplifying with (3), (5)
% 57.24/8.86  |              gives:
% 57.24/8.86  |   (11)  e3 = e0
% 57.24/8.86  | 
% 57.24/8.86  | REF_CLOSE: (4), (9), (10), (11) are inconsistent by sub-proof #152.
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #152 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  e3 = e2
% 57.24/8.86    (2)  e3 = e0
% 57.24/8.86    (3)  e2 = e1
% 57.24/8.86    (4)   ~ (e1 = e0)
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.86  |   (5)  e2 = e0
% 57.24/8.86  | 
% 57.24/8.86  | SIMP: (5) implies:
% 57.24/8.86  |   (6)  e2 = e0
% 57.24/8.86  | 
% 57.24/8.86  | COMBINE_EQS: (3), (6) imply:
% 57.24/8.86  |   (7)  e1 = e0
% 57.24/8.86  | 
% 57.24/8.86  | REDUCE: (4), (7) imply:
% 57.24/8.86  |   (8)  $false
% 57.24/8.86  | 
% 57.24/8.86  | CLOSE: (8) is inconsistent.
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #153 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  op(e0, e1) = e0
% 57.24/8.86    (2)   ~ (e1 = e0)
% 57.24/8.86    (3)  op(e3, e1) = e3
% 57.24/8.86    (4)  op(e3, e1) = e1
% 57.24/8.86    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 57.24/8.86           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 57.24/8.86    (6)  op(e0, e1) = e3
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | GROUND_INST: instantiating (5) with e3, e0, e1, e0, simplifying with (1), (6)
% 57.24/8.86  |              gives:
% 57.24/8.86  |   (7)  e3 = e0
% 57.24/8.86  | 
% 57.24/8.86  | GROUND_INST: instantiating (5) with e1, e3, e1, e3, simplifying with (3), (4)
% 57.24/8.86  |              gives:
% 57.24/8.86  |   (8)  e3 = e1
% 57.24/8.86  | 
% 57.24/8.86  | COMBINE_EQS: (7), (8) imply:
% 57.24/8.86  |   (9)  e1 = e0
% 57.24/8.86  | 
% 57.24/8.86  | SIMP: (9) implies:
% 57.24/8.86  |   (10)  e1 = e0
% 57.24/8.86  | 
% 57.24/8.86  | REDUCE: (2), (10) imply:
% 57.24/8.86  |   (11)  $false
% 57.24/8.86  | 
% 57.24/8.86  | CLOSE: (11) is inconsistent.
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #154 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)   ~ (all_10_11 = e1) | (all_10_12 = e3 &  ~ (unit = e1))
% 57.24/8.86    (2)  all_10_11 = e1
% 57.24/8.86    (3)  all_10_12 = e4
% 57.24/8.86    (4)   ~ (e4 = e3)
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | BETA: splitting (1) gives:
% 57.24/8.86  | 
% 57.24/8.86  | Case 1:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (5)   ~ (all_10_11 = e1)
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (2), (5) imply:
% 57.24/8.86  | |   (6)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (6) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | Case 2:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (7)  all_10_12 = e3 &  ~ (unit = e1)
% 57.24/8.86  | | 
% 57.24/8.86  | | ALPHA: (7) implies:
% 57.24/8.86  | |   (8)  all_10_12 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (3), (8) imply:
% 57.24/8.86  | |   (9)  e4 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (4), (9) imply:
% 57.24/8.86  | |   (10)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (10) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | End of split
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #155 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  all_8_14 = all_4_13
% 57.24/8.86    (2)   ~ (e3 = e1)
% 57.24/8.86    (3)  all_10_15 = e2
% 57.24/8.86    (4)  all_10_17 = all_4_13
% 57.24/8.86    (5)  all_8_15 = e0
% 57.24/8.86    (6)   ~ (e3 = e0)
% 57.24/8.86    (7)   ~ (e4 = e3)
% 57.24/8.86    (8)  all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 57.24/8.86    (9)   ~ (all_4_13 = e4)
% 57.24/8.86    (10)  all_8_19 = e1
% 57.24/8.86    (11)  ( ~ (all_10_0 = e2) | (all_10_1 = e3 &  ~ (unit = e2))) & ( ~ (all_10_1
% 57.24/8.86              = e2) |  ~ (unit = e2)) & ( ~ (all_10_2 = e2) | (all_10_1 = e1 &  ~
% 57.24/8.86              (unit = e2))) & ( ~ (all_10_3 = e2) | (all_10_1 = e0 &  ~ (unit =
% 57.24/8.86                e2))) & ( ~ (all_10_4 = e2) | (all_10_1 = e4 &  ~ (unit = e2))) &
% 57.24/8.86          ( ~ (all_10_5 = e2) | (all_10_6 = e4 &  ~ (unit = e2))) & ( ~ (all_10_6
% 57.24/8.86              = e2) |  ~ (unit = e2)) & ( ~ (all_10_7 = e2) | (all_10_6 = e1 &  ~
% 57.24/8.86              (unit = e2))) & ( ~ (all_10_8 = e2) | (all_10_6 = e0 &  ~ (unit =
% 57.24/8.86                e2))) & ( ~ (all_10_9 = e2) | (all_10_6 = e3 &  ~ (unit = e2))) &
% 57.24/8.86          ( ~ (all_10_10 = e2) | (all_10_14 = e4 &  ~ (unit = e2))) & ( ~
% 57.24/8.86            (all_10_11 = e2) | (all_10_14 = e3 &  ~ (unit = e2))) & ( ~ (all_10_12
% 57.24/8.86              = e2) | (all_10_14 = e1 &  ~ (unit = e2))) & ( ~ (all_10_13 = e2) |
% 57.24/8.86            (all_10_14 = e0 &  ~ (unit = e2))) & ( ~ (all_10_14 = e2) |  ~ (unit =
% 57.24/8.86              e2)) & ( ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))) & (
% 57.24/8.86            ~ (all_10_16 = e2) | (all_10_17 = e3 &  ~ (unit = e2))) & ( ~
% 57.24/8.86            (all_10_17 = e2) |  ~ (unit = e2)) & ( ~ (all_10_18 = e2) | (all_10_17
% 57.24/8.86              = e0 &  ~ (unit = e2))) & ( ~ (all_10_19 = e2) | (all_10_17 = e1 & 
% 57.24/8.86              ~ (unit = e2))) & ( ~ (all_10_20 = e2) | (all_10_22 = e4 &  ~ (unit
% 57.24/8.86                = e2))) & ( ~ (all_10_21 = e2) | (all_10_22 = e3 &  ~ (unit =
% 57.24/8.86                e2))) & ( ~ (all_10_22 = e2) |  ~ (unit = e2)) & ( ~ (all_10_23 =
% 57.24/8.86              e2) | (all_10_22 = e1 &  ~ (unit = e2))) & ( ~ (all_10_24 = e2) |
% 57.24/8.86            (all_10_22 = e0 &  ~ (unit = e2)))
% 57.24/8.86    (12)  all_8_13 = e4
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | ALPHA: (11) implies:
% 57.24/8.86  |   (13)   ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))
% 57.24/8.86  | 
% 57.24/8.86  | BETA: splitting (8) gives:
% 57.24/8.86  | 
% 57.24/8.86  | Case 1:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (14)  all_8_13 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | REF_CLOSE: (7), (12), (14) are inconsistent by sub-proof #158.
% 57.24/8.86  | | 
% 57.24/8.86  | Case 2:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (15)  all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | BETA: splitting (15) gives:
% 57.24/8.86  | | 
% 57.24/8.86  | | Case 1:
% 57.24/8.86  | | | 
% 57.24/8.86  | | |   (16)  all_8_14 = e3
% 57.24/8.86  | | | 
% 57.24/8.86  | | | COMBINE_EQS: (1), (16) imply:
% 57.24/8.86  | | |   (17)  all_4_13 = e3
% 57.24/8.86  | | | 
% 57.24/8.86  | | | SIMP: (17) implies:
% 57.24/8.86  | | |   (18)  all_4_13 = e3
% 57.24/8.86  | | | 
% 57.24/8.86  | | | COMBINE_EQS: (4), (18) imply:
% 57.24/8.86  | | |   (19)  all_10_17 = e3
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REDUCE: (9), (18) imply:
% 57.24/8.86  | | |   (20)   ~ (e4 = e3)
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REF_CLOSE: (3), (7), (13), (19) are inconsistent by sub-proof #157.
% 57.24/8.86  | | | 
% 57.24/8.86  | | Case 2:
% 57.24/8.86  | | | 
% 57.24/8.86  | | |   (21)  all_8_15 = e3 | all_8_19 = e3
% 57.24/8.86  | | | 
% 57.24/8.86  | | | REF_CLOSE: (2), (5), (6), (10), (21) are inconsistent by sub-proof #156.
% 57.24/8.86  | | | 
% 57.24/8.86  | | End of split
% 57.24/8.86  | | 
% 57.24/8.86  | End of split
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #156 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)   ~ (e3 = e1)
% 57.24/8.86    (2)  all_8_15 = e0
% 57.24/8.86    (3)   ~ (e3 = e0)
% 57.24/8.86    (4)  all_8_15 = e3 | all_8_19 = e3
% 57.24/8.86    (5)  all_8_19 = e1
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | BETA: splitting (4) gives:
% 57.24/8.86  | 
% 57.24/8.86  | Case 1:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (6)  all_8_15 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (2), (6) imply:
% 57.24/8.86  | |   (7)  e3 = e0
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (3), (7) imply:
% 57.24/8.86  | |   (8)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (8) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | Case 2:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (9)  all_8_19 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (5), (9) imply:
% 57.24/8.86  | |   (10)  e3 = e1
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (1), (10) imply:
% 57.24/8.86  | |   (11)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (11) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | End of split
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #157 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)   ~ (all_10_15 = e2) | (all_10_17 = e4 &  ~ (unit = e2))
% 57.24/8.86    (2)  all_10_15 = e2
% 57.24/8.86    (3)  all_10_17 = e3
% 57.24/8.86    (4)   ~ (e4 = e3)
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | BETA: splitting (1) gives:
% 57.24/8.86  | 
% 57.24/8.86  | Case 1:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (5)   ~ (all_10_15 = e2)
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (2), (5) imply:
% 57.24/8.86  | |   (6)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (6) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | Case 2:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (7)  all_10_17 = e4 &  ~ (unit = e2)
% 57.24/8.86  | | 
% 57.24/8.86  | | ALPHA: (7) implies:
% 57.24/8.86  | |   (8)  all_10_17 = e4
% 57.24/8.86  | | 
% 57.24/8.86  | | COMBINE_EQS: (3), (8) imply:
% 57.24/8.86  | |   (9)  e4 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | SIMP: (9) implies:
% 57.24/8.86  | |   (10)  e4 = e3
% 57.24/8.86  | | 
% 57.24/8.86  | | REDUCE: (4), (10) imply:
% 57.24/8.86  | |   (11)  $false
% 57.24/8.86  | | 
% 57.24/8.86  | | CLOSE: (11) is inconsistent.
% 57.24/8.86  | | 
% 57.24/8.86  | End of split
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #158 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  all_8_13 = e4
% 57.24/8.86    (2)  all_8_13 = e3
% 57.24/8.86    (3)   ~ (e4 = e3)
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.86  |   (4)  e4 = e3
% 57.24/8.86  | 
% 57.24/8.86  | SIMP: (4) implies:
% 57.24/8.86  |   (5)  e4 = e3
% 57.24/8.86  | 
% 57.24/8.86  | REDUCE: (3), (5) imply:
% 57.24/8.86  |   (6)  $false
% 57.24/8.86  | 
% 57.24/8.86  | CLOSE: (6) is inconsistent.
% 57.24/8.86  | 
% 57.24/8.86  End of proof
% 57.24/8.86  
% 57.24/8.86  Sub-proof #159 shows that the following formulas are inconsistent:
% 57.24/8.86  ----------------------------------------------------------------
% 57.24/8.86    (1)  (( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit = e4))) & ( ~ (all_10_1
% 57.24/8.86               = e4) | (all_10_4 = e2 &  ~ (unit = e4))) & ( ~ (all_10_2 = e4) |
% 57.24/8.86             (all_10_4 = e1 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) | (all_10_4 =
% 57.24/8.86               e0 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |  ~ (unit = e4)) & ( ~
% 57.24/8.86             (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 = e4) | (all_10_5 =
% 57.24/8.86               e2 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) | (all_10_5 = e1 &  ~
% 57.24/8.86               (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5 = e0 &  ~ (unit =
% 57.24/8.86                 e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e3 &  ~ (unit = e4))) &
% 57.24/8.86           ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~ (all_10_11 = e4) |
% 57.24/8.86             (all_10_10 = e3 &  ~ (unit = e4))) & ( ~ (all_10_12 = e4) |
% 57.24/8.86             (all_10_10 = e1 &  ~ (unit = e4))) & ( ~ (all_10_13 = e4) |
% 57.24/8.86             (all_10_10 = e0 &  ~ (unit = e4))) & ( ~ (all_10_14 = e4) |
% 57.24/8.86             (all_10_10 = e2 &  ~ (unit = e4))) & ( ~ (all_10_15 = e4) |  ~ (unit
% 57.24/8.86               = e4)) & ( ~ (all_10_16 = e4) | (all_10_15 = e3 &  ~ (unit = e4)))
% 57.24/8.86           & ( ~ (all_10_17 = e4) | (all_10_15 = e2 &  ~ (unit = e4))) & ( ~
% 57.24/8.86             (all_10_18 = e4) | (all_10_15 = e0 &  ~ (unit = e4))) & ( ~
% 57.24/8.86             (all_10_19 = e4) | (all_10_15 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.86             (all_10_20 = e4) |  ~ (unit = e4)) & ( ~ (all_10_21 = e4) |
% 57.24/8.86             (all_10_20 = e3 &  ~ (unit = e4))) & ( ~ (all_10_22 = e4) |
% 57.24/8.86             (all_10_20 = e2 &  ~ (unit = e4))) & ( ~ (all_10_23 = e4) |
% 57.24/8.86             (all_10_20 = e1 &  ~ (unit = e4))) & ( ~ (all_10_24 = e4) |
% 57.24/8.86             (all_10_20 = e0 &  ~ (unit = e4)))) | (( ~ (all_10_0 = e3) |  ~ (unit
% 57.24/8.86               = e3)) & ( ~ (all_10_1 = e3) | (all_10_0 = e2 &  ~ (unit = e3))) &
% 57.24/8.86           ( ~ (all_10_2 = e3) | (all_10_0 = e1 &  ~ (unit = e3))) & ( ~ (all_10_3
% 57.24/8.86               = e3) | (all_10_0 = e0 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 57.24/8.86             (all_10_0 = e4 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) | (all_10_9 =
% 57.24/8.86               e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) | (all_10_9 = e2 &  ~
% 57.24/8.86               (unit = e3))) & ( ~ (all_10_7 = e3) | (all_10_9 = e1 &  ~ (unit =
% 57.24/8.86                 e3))) & ( ~ (all_10_8 = e3) | (all_10_9 = e0 &  ~ (unit = e3))) &
% 57.24/8.86           ( ~ (all_10_9 = e3) |  ~ (unit = e3)) & ( ~ (all_10_10 = e3) |
% 57.24/8.86             (all_10_11 = e4 &  ~ (unit = e3))) & ( ~ (all_10_11 = e3) |  ~ (unit
% 57.24/8.86               = e3)) & ( ~ (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit = e3)))
% 57.24/8.86           & ( ~ (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.86             (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 57.24/8.86             (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.86             (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 57.24/8.86             (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 57.24/8.86             (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 57.24/8.86             (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 57.24/8.86             (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~ (unit
% 57.24/8.86               = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit = e3)))
% 57.24/8.86           & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.86             (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit = e3))))
% 57.24/8.86    (2)   ~ (e3 = e1)
% 57.24/8.86    (3)  all_10_12 = e4
% 57.24/8.86    (4)  all_10_23 = e3
% 57.24/8.86    (5)  all_10_10 = e3
% 57.24/8.86    (6)  all_10_21 = all_4_9
% 57.24/8.86    (7)   ~ (all_4_9 = e1)
% 57.24/8.86  
% 57.24/8.86  Begin of proof
% 57.24/8.86  | 
% 57.24/8.86  | BETA: splitting (1) gives:
% 57.24/8.86  | 
% 57.24/8.86  | Case 1:
% 57.24/8.86  | | 
% 57.24/8.86  | |   (8)  ( ~ (all_10_0 = e4) | (all_10_4 = e3 &  ~ (unit = e4))) & ( ~
% 57.24/8.86  | |          (all_10_1 = e4) | (all_10_4 = e2 &  ~ (unit = e4))) & ( ~ (all_10_2
% 57.24/8.86  | |            = e4) | (all_10_4 = e1 &  ~ (unit = e4))) & ( ~ (all_10_3 = e4) |
% 57.24/8.86  | |          (all_10_4 = e0 &  ~ (unit = e4))) & ( ~ (all_10_4 = e4) |  ~ (unit
% 57.24/8.86  | |            = e4)) & ( ~ (all_10_5 = e4) |  ~ (unit = e4)) & ( ~ (all_10_6 =
% 57.24/8.86  | |            e4) | (all_10_5 = e2 &  ~ (unit = e4))) & ( ~ (all_10_7 = e4) |
% 57.24/8.86  | |          (all_10_5 = e1 &  ~ (unit = e4))) & ( ~ (all_10_8 = e4) | (all_10_5
% 57.24/8.86  | |            = e0 &  ~ (unit = e4))) & ( ~ (all_10_9 = e4) | (all_10_5 = e3 & 
% 57.24/8.86  | |            ~ (unit = e4))) & ( ~ (all_10_10 = e4) |  ~ (unit = e4)) & ( ~
% 57.24/8.86  | |          (all_10_11 = e4) | (all_10_10 = e3 &  ~ (unit = e4))) & ( ~
% 57.24/8.86  | |          (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))) & ( ~
% 57.24/8.86  | |          (all_10_13 = e4) | (all_10_10 = e0 &  ~ (unit = e4))) & ( ~
% 57.24/8.86  | |          (all_10_14 = e4) | (all_10_10 = e2 &  ~ (unit = e4))) & ( ~
% 57.24/8.86  | |          (all_10_15 = e4) |  ~ (unit = e4)) & ( ~ (all_10_16 = e4) |
% 57.24/8.86  | |          (all_10_15 = e3 &  ~ (unit = e4))) & ( ~ (all_10_17 = e4) |
% 57.24/8.86  | |          (all_10_15 = e2 &  ~ (unit = e4))) & ( ~ (all_10_18 = e4) |
% 57.24/8.86  | |          (all_10_15 = e0 &  ~ (unit = e4))) & ( ~ (all_10_19 = e4) |
% 57.24/8.86  | |          (all_10_15 = e1 &  ~ (unit = e4))) & ( ~ (all_10_20 = e4) |  ~
% 57.24/8.86  | |          (unit = e4)) & ( ~ (all_10_21 = e4) | (all_10_20 = e3 &  ~ (unit =
% 57.24/8.86  | |              e4))) & ( ~ (all_10_22 = e4) | (all_10_20 = e2 &  ~ (unit =
% 57.24/8.86  | |              e4))) & ( ~ (all_10_23 = e4) | (all_10_20 = e1 &  ~ (unit =
% 57.24/8.86  | |              e4))) & ( ~ (all_10_24 = e4) | (all_10_20 = e0 &  ~ (unit =
% 57.24/8.86  | |              e4)))
% 57.24/8.86  | | 
% 57.24/8.86  | | ALPHA: (8) implies:
% 57.24/8.86  | |   (9)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))
% 57.24/8.86  | | 
% 57.24/8.87  | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #160.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (10)  ( ~ (all_10_0 = e3) |  ~ (unit = e3)) & ( ~ (all_10_1 = e3) |
% 57.24/8.87  | |           (all_10_0 = e2 &  ~ (unit = e3))) & ( ~ (all_10_2 = e3) |
% 57.24/8.87  | |           (all_10_0 = e1 &  ~ (unit = e3))) & ( ~ (all_10_3 = e3) |
% 57.24/8.87  | |           (all_10_0 = e0 &  ~ (unit = e3))) & ( ~ (all_10_4 = e3) |
% 57.24/8.87  | |           (all_10_0 = e4 &  ~ (unit = e3))) & ( ~ (all_10_5 = e3) |
% 57.24/8.87  | |           (all_10_9 = e4 &  ~ (unit = e3))) & ( ~ (all_10_6 = e3) |
% 57.24/8.87  | |           (all_10_9 = e2 &  ~ (unit = e3))) & ( ~ (all_10_7 = e3) |
% 57.24/8.87  | |           (all_10_9 = e1 &  ~ (unit = e3))) & ( ~ (all_10_8 = e3) |
% 57.24/8.87  | |           (all_10_9 = e0 &  ~ (unit = e3))) & ( ~ (all_10_9 = e3) |  ~ (unit
% 57.24/8.87  | |             = e3)) & ( ~ (all_10_10 = e3) | (all_10_11 = e4 &  ~ (unit =
% 57.24/8.87  | |               e3))) & ( ~ (all_10_11 = e3) |  ~ (unit = e3)) & ( ~
% 57.24/8.87  | |           (all_10_12 = e3) | (all_10_11 = e1 &  ~ (unit = e3))) & ( ~
% 57.24/8.87  | |           (all_10_13 = e3) | (all_10_11 = e0 &  ~ (unit = e3))) & ( ~
% 57.24/8.87  | |           (all_10_14 = e3) | (all_10_11 = e2 &  ~ (unit = e3))) & ( ~
% 57.24/8.87  | |           (all_10_15 = e3) | (all_10_16 = e4 &  ~ (unit = e3))) & ( ~
% 57.24/8.87  | |           (all_10_16 = e3) |  ~ (unit = e3)) & ( ~ (all_10_17 = e3) |
% 57.24/8.87  | |           (all_10_16 = e2 &  ~ (unit = e3))) & ( ~ (all_10_18 = e3) |
% 57.24/8.87  | |           (all_10_16 = e0 &  ~ (unit = e3))) & ( ~ (all_10_19 = e3) |
% 57.24/8.87  | |           (all_10_16 = e1 &  ~ (unit = e3))) & ( ~ (all_10_20 = e3) |
% 57.24/8.87  | |           (all_10_21 = e4 &  ~ (unit = e3))) & ( ~ (all_10_21 = e3) |  ~
% 57.24/8.87  | |           (unit = e3)) & ( ~ (all_10_22 = e3) | (all_10_21 = e2 &  ~ (unit =
% 57.24/8.87  | |               e3))) & ( ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit =
% 57.24/8.87  | |               e3))) & ( ~ (all_10_24 = e3) | (all_10_21 = e0 &  ~ (unit =
% 57.24/8.87  | |               e3)))
% 57.24/8.87  | | 
% 57.24/8.87  | | ALPHA: (10) implies:
% 57.24/8.87  | |   (11)   ~ (all_10_23 = e3) | (all_10_21 = e1 &  ~ (unit = e3))
% 57.24/8.87  | | 
% 57.24/8.87  | | BETA: splitting (11) gives:
% 57.24/8.87  | | 
% 57.24/8.87  | | Case 1:
% 57.24/8.87  | | | 
% 57.24/8.87  | | |   (12)   ~ (all_10_23 = e3)
% 57.24/8.87  | | | 
% 57.24/8.87  | | | REDUCE: (4), (12) imply:
% 57.24/8.87  | | |   (13)  $false
% 57.24/8.87  | | | 
% 57.24/8.87  | | | CLOSE: (13) is inconsistent.
% 57.24/8.87  | | | 
% 57.24/8.87  | | Case 2:
% 57.24/8.87  | | | 
% 57.24/8.87  | | |   (14)  all_10_21 = e1 &  ~ (unit = e3)
% 57.24/8.87  | | | 
% 57.24/8.87  | | | ALPHA: (14) implies:
% 57.24/8.87  | | |   (15)  all_10_21 = e1
% 57.24/8.87  | | | 
% 57.24/8.87  | | | COMBINE_EQS: (6), (15) imply:
% 57.24/8.87  | | |   (16)  all_4_9 = e1
% 57.24/8.87  | | | 
% 57.24/8.87  | | | REDUCE: (7), (16) imply:
% 57.24/8.87  | | |   (17)  $false
% 57.24/8.87  | | | 
% 57.24/8.87  | | | CLOSE: (17) is inconsistent.
% 57.24/8.87  | | | 
% 57.24/8.87  | | End of split
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #160 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)   ~ (all_10_12 = e4) | (all_10_10 = e1 &  ~ (unit = e4))
% 57.24/8.87    (2)  all_10_12 = e4
% 57.24/8.87    (3)  all_10_10 = e3
% 57.24/8.87    (4)   ~ (e3 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (1) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (5)   ~ (all_10_12 = e4)
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (2), (5) imply:
% 57.24/8.87  | |   (6)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (6) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (7)  all_10_10 = e1 &  ~ (unit = e4)
% 57.24/8.87  | | 
% 57.24/8.87  | | ALPHA: (7) implies:
% 57.24/8.87  | |   (8)  all_10_10 = e1
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (3), (8) imply:
% 57.24/8.87  | |   (9)  e3 = e1
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (4), (9) imply:
% 57.24/8.87  | |   (10)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (10) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #161 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_21 = all_4_9
% 57.24/8.87    (2)  all_6_21 = e4
% 57.24/8.87    (3)   ~ (all_4_9 = e4)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_9 = e4
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_9 = e4
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #162 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_21 = all_4_9
% 57.24/8.87    (2)  all_6_21 = e1
% 57.24/8.87    (3)   ~ (all_4_9 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_9 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_9 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #163 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_16 = all_4_8
% 57.24/8.87    (2)  all_6_16 = e1
% 57.24/8.87    (3)   ~ (all_4_8 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_8 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_8 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #164 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_15 = all_4_3
% 57.24/8.87    (2)  all_6_15 = e4
% 57.24/8.87    (3)   ~ (all_4_3 = e4)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_3 = e4
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_3 = e4
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #165 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_13 = all_4_17
% 57.24/8.87    (2)  all_6_13 = e1
% 57.24/8.87    (3)   ~ (all_4_17 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_17 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_17 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #166 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_8_5 = all_4_11
% 57.24/8.87    (2)  all_8_5 = e1
% 57.24/8.87    (3)   ~ (all_4_11 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_11 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_11 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #167 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_3 = all_4_15
% 57.24/8.87    (2)  all_6_3 = e4
% 57.24/8.87    (3)   ~ (all_4_15 = e4)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_15 = e4
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_15 = e4
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #168 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_3 = all_4_15
% 57.24/8.87    (2)  all_6_3 = e1
% 57.24/8.87    (3)   ~ (all_4_15 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_15 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_15 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #169 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_8_3 = all_4_6
% 57.24/8.87    (2)  all_8_3 = e1
% 57.24/8.87    (3)   ~ (all_4_6 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_6 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_6 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #170 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_15 = all_4_3
% 57.24/8.87    (2)  all_6_15 = e1
% 57.24/8.87    (3)   ~ (all_4_3 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_3 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_3 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #171 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_8_0 = e4
% 57.24/8.87    (2)  all_8_0 = e1
% 57.24/8.87    (3)   ~ (e4 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  e4 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  e4 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #172 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_4 = all_4_20
% 57.24/8.87    (2)  all_6_4 = e1
% 57.24/8.87    (3)   ~ (all_4_20 = e1)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_20 = e1
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_20 = e1
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #173 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_8_0 = all_4_0
% 57.24/8.87    (2)  all_8_0 = e0
% 57.24/8.87    (3)   ~ (all_4_0 = e0)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_0 = e0
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_0 = e0
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #174 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_12 = e3 | all_6_12 = e0
% 57.24/8.87    (2)  all_6_12 = all_4_12
% 57.24/8.87    (3)   ~ (all_4_12 = e3)
% 57.24/8.87    (4)   ~ (all_4_12 = e0)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (1) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (5)  all_6_12 = e3
% 57.24/8.87  | | 
% 57.24/8.87  | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #175.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (6)  all_6_12 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (2), (6) imply:
% 57.24/8.87  | |   (7)  all_4_12 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | SIMP: (7) implies:
% 57.24/8.87  | |   (8)  all_4_12 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (4), (8) imply:
% 57.24/8.87  | |   (9)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (9) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #175 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_12 = all_4_12
% 57.24/8.87    (2)  all_6_12 = e3
% 57.24/8.87    (3)   ~ (all_4_12 = e3)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.87  |   (4)  all_4_12 = e3
% 57.24/8.87  | 
% 57.24/8.87  | SIMP: (4) implies:
% 57.24/8.87  |   (5)  all_4_12 = e3
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (3), (5) imply:
% 57.24/8.87  |   (6)  $false
% 57.24/8.87  | 
% 57.24/8.87  | CLOSE: (6) is inconsistent.
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #176 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_8_14 = all_4_13
% 57.24/8.87    (2)  all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 57.24/8.87    (3)  all_8_8 = e2
% 57.24/8.87    (4)   ~ (e2 = e0)
% 57.24/8.87    (5)   ~ (all_4_14 = e0)
% 57.24/8.87    (6)  all_8_22 = all_4_14
% 57.24/8.87    (7)   ~ (all_4_13 = e0)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (2) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (8)  all_8_8 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (3), (8) imply:
% 57.24/8.87  | |   (9)  e2 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (4), (9) imply:
% 57.24/8.87  | |   (10)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (10) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (11)  all_8_14 = e0 | all_8_22 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REF_CLOSE: (1), (5), (6), (7), (11) are inconsistent by sub-proof #177.
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #177 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_8_14 = all_4_13
% 57.24/8.87    (2)  all_8_14 = e0 | all_8_22 = e0
% 57.24/8.87    (3)   ~ (all_4_14 = e0)
% 57.24/8.87    (4)  all_8_22 = all_4_14
% 57.24/8.87    (5)   ~ (all_4_13 = e0)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (2) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (6)  all_8_14 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (1), (6) imply:
% 57.24/8.87  | |   (7)  all_4_13 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | SIMP: (7) implies:
% 57.24/8.87  | |   (8)  all_4_13 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (5), (8) imply:
% 57.24/8.87  | |   (9)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (9) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (10)  all_8_22 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (4), (10) imply:
% 57.24/8.87  | |   (11)  all_4_14 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | SIMP: (11) implies:
% 57.24/8.87  | |   (12)  all_4_14 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (3), (12) imply:
% 57.24/8.87  | |   (13)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (13) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #178 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)   ~ (all_4_3 = e0)
% 57.24/8.87    (2)  all_8_0 = all_4_0
% 57.24/8.87    (3)   ~ (all_4_1 = e0)
% 57.24/8.87    (4)  all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 =
% 57.24/8.87         e0
% 57.24/8.87    (5)  all_8_20 = all_4_4
% 57.24/8.87    (6)  all_8_12 = all_4_3
% 57.24/8.87    (7)  all_8_6 = e3
% 57.24/8.87    (8)   ~ (e3 = e0)
% 57.24/8.87    (9)   ~ (all_4_4 = e0)
% 57.24/8.87    (10)   ~ (all_4_0 = e3)
% 57.24/8.87    (11)   ~ (all_8_0 = e0)
% 57.24/8.87    (12)   ~ (all_4_0 = e1)
% 57.24/8.87    (13)  all_6_0 = all_4_0
% 57.24/8.87    (14)  all_8_2 = all_4_1
% 57.24/8.87    (15)   ~ (all_4_0 = e2)
% 57.24/8.87    (16)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | REDUCE: (2), (11) imply:
% 57.24/8.87  |   (17)   ~ (all_4_0 = e0)
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (16) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (18)  all_6_0 = e1
% 57.24/8.87  | | 
% 57.24/8.87  | | REF_CLOSE: (12), (13), (18) are inconsistent by sub-proof #185.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (19)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | BETA: splitting (19) gives:
% 57.24/8.87  | | 
% 57.24/8.87  | | Case 1:
% 57.24/8.87  | | | 
% 57.24/8.87  | | |   (20)  all_6_0 = e4
% 57.24/8.87  | | | 
% 57.24/8.87  | | | COMBINE_EQS: (13), (20) imply:
% 57.24/8.87  | | |   (21)  all_4_0 = e4
% 57.24/8.87  | | | 
% 57.24/8.87  | | | SIMP: (21) implies:
% 57.24/8.87  | | |   (22)  all_4_0 = e4
% 57.24/8.87  | | | 
% 57.24/8.87  | | | COMBINE_EQS: (2), (22) imply:
% 57.24/8.87  | | |   (23)  all_8_0 = e4
% 57.24/8.87  | | | 
% 57.24/8.87  | | | REDUCE: (17), (22) imply:
% 57.24/8.87  | | |   (24)   ~ (e4 = e0)
% 57.24/8.87  | | | 
% 57.24/8.87  | | | BETA: splitting (4) gives:
% 57.24/8.87  | | | 
% 57.24/8.87  | | | Case 1:
% 57.24/8.87  | | | | 
% 57.24/8.87  | | | |   (25)  all_8_0 = e0
% 57.24/8.87  | | | | 
% 57.24/8.87  | | | | REF_CLOSE: (23), (24), (25) are inconsistent by sub-proof #184.
% 57.24/8.87  | | | | 
% 57.24/8.87  | | | Case 2:
% 57.24/8.87  | | | | 
% 57.24/8.87  | | | |   (26)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 57.24/8.87  | | | | 
% 57.24/8.87  | | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (9), (14), (26) are
% 57.24/8.87  | | | |            inconsistent by sub-proof #180.
% 57.24/8.87  | | | | 
% 57.24/8.87  | | | End of split
% 57.24/8.87  | | | 
% 57.24/8.87  | | Case 2:
% 57.24/8.87  | | | 
% 57.24/8.87  | | |   (27)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 57.24/8.87  | | | 
% 57.24/8.87  | | | REF_CLOSE: (10), (13), (15), (17), (27) are inconsistent by sub-proof
% 57.24/8.87  | | |            #179.
% 57.24/8.87  | | | 
% 57.24/8.87  | | End of split
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #179 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 57.24/8.87    (2)   ~ (all_4_0 = e0)
% 57.24/8.87    (3)   ~ (all_4_0 = e3)
% 57.24/8.87    (4)  all_6_0 = all_4_0
% 57.24/8.87    (5)   ~ (all_4_0 = e2)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (1) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (6)  all_6_0 = e2
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (4), (6) imply:
% 57.24/8.87  | |   (7)  all_4_0 = e2
% 57.24/8.87  | | 
% 57.24/8.87  | | SIMP: (7) implies:
% 57.24/8.87  | |   (8)  all_4_0 = e2
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (5), (8) imply:
% 57.24/8.87  | |   (9)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (9) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (10)  all_6_0 = e3 | all_6_0 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | BETA: splitting (10) gives:
% 57.24/8.87  | | 
% 57.24/8.87  | | Case 1:
% 57.24/8.87  | | | 
% 57.24/8.87  | | |   (11)  all_6_0 = e3
% 57.24/8.87  | | | 
% 57.24/8.87  | | | COMBINE_EQS: (4), (11) imply:
% 57.24/8.87  | | |   (12)  all_4_0 = e3
% 57.24/8.87  | | | 
% 57.24/8.87  | | | SIMP: (12) implies:
% 57.24/8.87  | | |   (13)  all_4_0 = e3
% 57.24/8.87  | | | 
% 57.24/8.87  | | | REDUCE: (3), (13) imply:
% 57.24/8.87  | | |   (14)  $false
% 57.24/8.87  | | | 
% 57.24/8.87  | | | CLOSE: (14) is inconsistent.
% 57.24/8.87  | | | 
% 57.24/8.87  | | Case 2:
% 57.24/8.87  | | | 
% 57.24/8.87  | | |   (15)  all_6_0 = e0
% 57.24/8.87  | | | 
% 57.24/8.87  | | | COMBINE_EQS: (4), (15) imply:
% 57.24/8.87  | | |   (16)  all_4_0 = e0
% 57.24/8.87  | | | 
% 57.24/8.87  | | | SIMP: (16) implies:
% 57.24/8.87  | | |   (17)  all_4_0 = e0
% 57.24/8.87  | | | 
% 57.24/8.87  | | | REDUCE: (2), (17) imply:
% 57.24/8.87  | | |   (18)  $false
% 57.24/8.87  | | | 
% 57.24/8.87  | | | CLOSE: (18) is inconsistent.
% 57.24/8.87  | | | 
% 57.24/8.87  | | End of split
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #180 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)   ~ (all_4_3 = e0)
% 57.24/8.87    (2)   ~ (all_4_1 = e0)
% 57.24/8.87    (3)  all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 57.24/8.87    (4)  all_8_20 = all_4_4
% 57.24/8.87    (5)  all_8_12 = all_4_3
% 57.24/8.87    (6)  all_8_6 = e3
% 57.24/8.87    (7)   ~ (e3 = e0)
% 57.24/8.87    (8)   ~ (all_4_4 = e0)
% 57.24/8.87    (9)  all_8_2 = all_4_1
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (3) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (10)  all_8_2 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REF_CLOSE: (2), (9), (10) are inconsistent by sub-proof #183.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (11)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (11) are inconsistent by sub-proof
% 57.24/8.87  | |            #181.
% 57.24/8.87  | | 
% 57.24/8.87  | End of split
% 57.24/8.87  | 
% 57.24/8.87  End of proof
% 57.24/8.87  
% 57.24/8.87  Sub-proof #181 shows that the following formulas are inconsistent:
% 57.24/8.87  ----------------------------------------------------------------
% 57.24/8.87    (1)   ~ (all_4_3 = e0)
% 57.24/8.87    (2)  all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 57.24/8.87    (3)  all_8_20 = all_4_4
% 57.24/8.87    (4)  all_8_12 = all_4_3
% 57.24/8.87    (5)  all_8_6 = e3
% 57.24/8.87    (6)   ~ (e3 = e0)
% 57.24/8.87    (7)   ~ (all_4_4 = e0)
% 57.24/8.87  
% 57.24/8.87  Begin of proof
% 57.24/8.87  | 
% 57.24/8.87  | BETA: splitting (2) gives:
% 57.24/8.87  | 
% 57.24/8.87  | Case 1:
% 57.24/8.87  | | 
% 57.24/8.87  | |   (8)  all_8_6 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | COMBINE_EQS: (5), (8) imply:
% 57.24/8.87  | |   (9)  e3 = e0
% 57.24/8.87  | | 
% 57.24/8.87  | | REDUCE: (6), (9) imply:
% 57.24/8.87  | |   (10)  $false
% 57.24/8.87  | | 
% 57.24/8.87  | | CLOSE: (10) is inconsistent.
% 57.24/8.87  | | 
% 57.24/8.87  | Case 2:
% 57.24/8.87  | | 
% 57.24/8.88  | |   (11)  all_8_12 = e0 | all_8_20 = e0
% 57.24/8.88  | | 
% 57.24/8.88  | | BETA: splitting (11) gives:
% 57.24/8.88  | | 
% 57.24/8.88  | | Case 1:
% 57.24/8.88  | | | 
% 57.24/8.88  | | |   (12)  all_8_12 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #182.
% 57.24/8.88  | | | 
% 57.24/8.88  | | Case 2:
% 57.24/8.88  | | | 
% 57.24/8.88  | | |   (13)  all_8_20 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | COMBINE_EQS: (3), (13) imply:
% 57.24/8.88  | | |   (14)  all_4_4 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | SIMP: (14) implies:
% 57.24/8.88  | | |   (15)  all_4_4 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | REDUCE: (7), (15) imply:
% 57.24/8.88  | | |   (16)  $false
% 57.24/8.88  | | | 
% 57.24/8.88  | | | CLOSE: (16) is inconsistent.
% 57.24/8.88  | | | 
% 57.24/8.88  | | End of split
% 57.24/8.88  | | 
% 57.24/8.88  | End of split
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #182 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_8_12 = all_4_3
% 57.24/8.88    (2)  all_8_12 = e0
% 57.24/8.88    (3)   ~ (all_4_3 = e0)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_3 = e0
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_3 = e0
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #183 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_8_2 = all_4_1
% 57.24/8.88    (2)  all_8_2 = e0
% 57.24/8.88    (3)   ~ (all_4_1 = e0)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_1 = e0
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_1 = e0
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #184 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_8_0 = e4
% 57.24/8.88    (2)  all_8_0 = e0
% 57.24/8.88    (3)   ~ (e4 = e0)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  e4 = e0
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  e4 = e0
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #185 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_0 = all_4_0
% 57.24/8.88    (2)  all_6_0 = e1
% 57.24/8.88    (3)   ~ (all_4_0 = e1)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_0 = e1
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_0 = e1
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #186 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)   ~ (all_4_22 = e3)
% 57.24/8.88    (2)   ~ (all_4_22 = e0)
% 57.24/8.88    (3)   ~ (all_4_22 = e2)
% 57.24/8.88    (4)  all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0
% 57.24/8.88    (5)  all_6_14 = all_4_22
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | BETA: splitting (4) gives:
% 57.24/8.88  | 
% 57.24/8.88  | Case 1:
% 57.24/8.88  | | 
% 57.24/8.88  | |   (6)  all_6_14 = e2
% 57.24/8.88  | | 
% 57.24/8.88  | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #188.
% 57.24/8.88  | | 
% 57.24/8.88  | Case 2:
% 57.24/8.88  | | 
% 57.24/8.88  | |   (7)  all_6_14 = e3 | all_6_14 = e0
% 57.24/8.88  | | 
% 57.24/8.88  | | BETA: splitting (7) gives:
% 57.24/8.88  | | 
% 57.24/8.88  | | Case 1:
% 57.24/8.88  | | | 
% 57.24/8.88  | | |   (8)  all_6_14 = e3
% 57.24/8.88  | | | 
% 57.24/8.88  | | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #187.
% 57.24/8.88  | | | 
% 57.24/8.88  | | Case 2:
% 57.24/8.88  | | | 
% 57.24/8.88  | | |   (9)  all_6_14 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | COMBINE_EQS: (5), (9) imply:
% 57.24/8.88  | | |   (10)  all_4_22 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | SIMP: (10) implies:
% 57.24/8.88  | | |   (11)  all_4_22 = e0
% 57.24/8.88  | | | 
% 57.24/8.88  | | | REDUCE: (2), (11) imply:
% 57.24/8.88  | | |   (12)  $false
% 57.24/8.88  | | | 
% 57.24/8.88  | | | CLOSE: (12) is inconsistent.
% 57.24/8.88  | | | 
% 57.24/8.88  | | End of split
% 57.24/8.88  | | 
% 57.24/8.88  | End of split
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #187 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_14 = all_4_22
% 57.24/8.88    (2)  all_6_14 = e3
% 57.24/8.88    (3)   ~ (all_4_22 = e3)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_22 = e3
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_22 = e3
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #188 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_14 = all_4_22
% 57.24/8.88    (2)  all_6_14 = e2
% 57.24/8.88    (3)   ~ (all_4_22 = e2)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_22 = e2
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_22 = e2
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #189 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_14 = all_4_22
% 57.24/8.88    (2)  all_6_14 = e4
% 57.24/8.88    (3)   ~ (all_4_22 = e4)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_22 = e4
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_22 = e4
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #190 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_14 = all_4_22
% 57.24/8.88    (2)  all_6_14 = e1
% 57.24/8.88    (3)   ~ (all_4_22 = e1)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_22 = e1
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_22 = e1
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #191 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_8_4 = e1
% 57.24/8.88    (2)  all_8_4 = e0
% 57.24/8.88    (3)   ~ (e1 = e0)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  e1 = e0
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  e1 = e0
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #192 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_12 = all_4_12
% 57.24/8.88    (2)  all_6_12 = e4
% 57.24/8.88    (3)   ~ (all_4_12 = e4)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_12 = e4
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_12 = e4
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  
% 57.24/8.88  Sub-proof #193 shows that the following formulas are inconsistent:
% 57.24/8.88  ----------------------------------------------------------------
% 57.24/8.88    (1)  all_6_12 = all_4_12
% 57.24/8.88    (2)  all_6_12 = e1
% 57.24/8.88    (3)   ~ (all_4_12 = e1)
% 57.24/8.88  
% 57.24/8.88  Begin of proof
% 57.24/8.88  | 
% 57.24/8.88  | COMBINE_EQS: (1), (2) imply:
% 57.24/8.88  |   (4)  all_4_12 = e1
% 57.24/8.88  | 
% 57.24/8.88  | SIMP: (4) implies:
% 57.24/8.88  |   (5)  all_4_12 = e1
% 57.24/8.88  | 
% 57.24/8.88  | REDUCE: (3), (5) imply:
% 57.24/8.88  |   (6)  $false
% 57.24/8.88  | 
% 57.24/8.88  | CLOSE: (6) is inconsistent.
% 57.24/8.88  | 
% 57.24/8.88  End of proof
% 57.24/8.88  % SZS output end Proof for theBenchmark
% 57.24/8.88  
% 57.24/8.88  8290ms
%------------------------------------------------------------------------------