%------------------------------------------------------------------------------
% File     : Princess---230619
% Problem  : ALG065+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 : n012.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 16:36:08 EDT 2023

% Result   : Theorem 12.83s 2.48s
% Output   : Proof 43.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG065+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command  : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34  % Computer : n012.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 02:56:09 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.61  ________       _____
% 0.20/0.61  ___  __ \_________(_)________________________________
% 0.20/0.61  __  /_/ /_  ___/_  /__  __ \  ___/  _ \_  ___/_  ___/
% 0.20/0.61  _  ____/_  /   _  / _  / / / /__ /  __/(__  )_(__  )
% 0.20/0.61  /_/     /_/    /_/  /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61  
% 0.20/0.61  A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61  (2023-06-19)
% 0.20/0.61  
% 0.20/0.61  (c) Philipp Rümmer, 2009-2023
% 0.20/0.61  Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61                Amanda Stjerna.
% 0.20/0.61  Free software under BSD-3-Clause.
% 0.20/0.61  
% 0.20/0.61  For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61  
% 0.20/0.62  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63  Running up to 7 provers in parallel.
% 0.20/0.64  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64  Prover 0: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64  Prover 3: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64  Prover 4: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64  Prover 5: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64  Prover 6: Options:  -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.79/1.55  Prover 4: Preprocessing ...
% 4.79/1.56  Prover 1: Preprocessing ...
% 6.05/1.59  Prover 3: Preprocessing ...
% 6.05/1.59  Prover 0: Preprocessing ...
% 6.05/1.59  Prover 2: Preprocessing ...
% 6.05/1.59  Prover 5: Preprocessing ...
% 6.24/1.60  Prover 6: Preprocessing ...
% 8.84/2.11  Prover 1: Constructing countermodel ...
% 8.84/2.11  Prover 4: Constructing countermodel ...
% 9.56/2.12  Prover 2: Constructing countermodel ...
% 9.56/2.13  Prover 6: Constructing countermodel ...
% 9.56/2.14  Prover 3: Constructing countermodel ...
% 9.56/2.15  Prover 0: Constructing countermodel ...
% 12.24/2.48  Prover 6: proved (1831ms)
% 12.83/2.48  
% 12.83/2.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.83/2.48  
% 12.83/2.48  Prover 0: stopped
% 12.83/2.48  Prover 2: stopped
% 12.83/2.48  Prover 7: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.83/2.48  Prover 8: Options:  +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.83/2.48  Prover 3: stopped
% 12.83/2.48  Prover 10: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.83/2.49  Prover 11: Options:  +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 13.89/2.71  Prover 5: Constructing countermodel ...
% 14.04/2.77  Prover 7: Preprocessing ...
% 14.04/2.78  Prover 5: stopped
% 14.04/2.79  Prover 10: Preprocessing ...
% 14.04/2.79  Prover 8: Preprocessing ...
% 14.04/2.79  Prover 13: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 14.04/2.81  Prover 11: Preprocessing ...
% 15.90/2.90  Prover 8: Constructing countermodel ...
% 15.90/2.90  Prover 13: Preprocessing ...
% 16.53/3.06  Prover 7: Constructing countermodel ...
% 17.26/3.08  Prover 10: Constructing countermodel ...
% 17.26/3.08  Prover 11: Constructing countermodel ...
% 17.57/3.14  Prover 13: Constructing countermodel ...
% 39.51/6.04  Prover 1: Found proof (size 4656)
% 39.51/6.04  Prover 1: proved (5404ms)
% 39.51/6.04  Prover 11: stopped
% 39.51/6.04  Prover 10: stopped
% 39.51/6.04  Prover 7: stopped
% 39.51/6.04  Prover 8: stopped
% 39.51/6.04  Prover 4: stopped
% 39.51/6.04  Prover 13: stopped
% 39.51/6.04  
% 39.51/6.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.51/6.04  
% 41.24/6.32  % SZS output start Proof for theBenchmark
% 41.24/6.34  Assumptions after simplification:
% 41.24/6.34  ---------------------------------
% 41.24/6.34  
% 41.24/6.34    (ax1)
% 41.49/6.39    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 41.49/6.39    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 41.49/6.39    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 41.49/6.39    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 41.49/6.39    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 41.49/6.40    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 41.49/6.40      v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 41.49/6.40      v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 41.49/6.40      v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 41.49/6.40      v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 41.49/6.40      & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 41.49/6.40      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 41.49/6.40      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 41.49/6.40      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 41.49/6.40      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 41.49/6.40        v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 41.49/6.40        e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 41.49/6.40      (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 41.49/6.40        e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 41.49/6.40        v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 41.49/6.40        e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 41.49/6.40        v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 41.49/6.40        e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 41.49/6.40        v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 41.49/6.40        = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 41.49/6.40        v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 41.49/6.40        e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 41.49/6.40        e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 41.49/6.40        | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 41.49/6.40      (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 41.49/6.40        = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 41.49/6.40        e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 41.49/6.40        e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 41.49/6.40        | v0 = e0))
% 41.49/6.40  
% 41.49/6.40    (ax3)
% 41.49/6.42    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 41.49/6.42    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 41.49/6.42    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 41.49/6.42    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 41.49/6.42    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 41.49/6.42    [v23: $i] :  ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 41.49/6.42      v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 41.49/6.42      v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 41.49/6.42      v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 41.49/6.42      v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 41.49/6.42      v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 41.49/6.42      op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 41.49/6.42      $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 41.49/6.42      $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 41.49/6.42      $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 41.49/6.42        v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 41.49/6.42        e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 41.49/6.42      (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 41.49/6.42        | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 41.49/6.42        e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 41.49/6.42      (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 41.49/6.42        | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 41.49/6.42        e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 41.49/6.42      (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 41.49/6.42        | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 41.49/6.42        e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 41.49/6.42      (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 41.49/6.42        | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 41.49/6.42        e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 41.49/6.42      (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 41.49/6.42        | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 41.49/6.42        e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 41.49/6.42      (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 41.49/6.42        | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 41.49/6.42        e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 41.49/6.42      (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 41.49/6.42        | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 41.49/6.42        e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 41.49/6.42      (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 41.49/6.42        | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 41.49/6.42        e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 41.49/6.42      (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 41.49/6.42        | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 41.49/6.42        e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 41.49/6.42      (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 41.49/6.42        v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 41.49/6.42        = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 41.49/6.42        = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 41.49/6.42        e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 41.49/6.42        e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 41.49/6.42        | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 41.49/6.42          & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 41.49/6.42  
% 41.49/6.42    (ax4)
% 41.49/6.43    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 41.49/6.43    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 41.49/6.43    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 41.49/6.43    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 41.49/6.43    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 41.49/6.43    [v23: $i] :  ? [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &
% 41.49/6.43       ~ (v24 = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24 =
% 41.49/6.43        v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23 = v18) & 
% 41.49/6.43      ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 = v21) &  ~ (v22 =
% 41.49/6.43        v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 = v7) &  ~ (v22 = v2) & 
% 41.49/6.43      ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 = v11) &  ~ (v21 = v6) &  ~ (v21 =
% 41.49/6.43        v1) &  ~ (v20 = v15) &  ~ (v20 = v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~
% 41.49/6.43      (v19 = v18) &  ~ (v19 = v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 =
% 41.49/6.43        v14) &  ~ (v19 = v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) & 
% 41.49/6.43      ~ (v18 = v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 41.49/6.43        v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 = v2) & 
% 41.49/6.43      ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 = v1) &  ~ (v15 =
% 41.49/6.43        v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 = v13) &  ~ (v14 = v12) & 
% 41.49/6.43      ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 = v9) &  ~ (v14 = v4) &  ~ (v13 =
% 41.49/6.43        v12) &  ~ (v13 = v11) &  ~ (v13 = v10) &  ~ (v13 = v8) &  ~ (v13 = v3) & 
% 41.49/6.43      ~ (v12 = v11) &  ~ (v12 = v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 =
% 41.49/6.43        v10) &  ~ (v11 = v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~
% 41.49/6.43      (v9 = v8) &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~
% 41.49/6.43      (v8 = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &  ~
% 41.49/6.43      (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 = v0) &  ~
% 41.49/6.43      (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) &  ~ (v3 = v2) &  ~
% 41.49/6.43      (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 = v0) &  ~ (v1 = v0) &
% 41.49/6.43      op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 41.49/6.43      op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 41.49/6.43      op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 41.49/6.43      op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 41.49/6.43      op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 41.49/6.43      op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 41.49/6.43      op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 41.49/6.43      & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 41.49/6.43      $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 41.49/6.43      $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 41.49/6.43  
% 41.49/6.43    (ax5)
% 41.49/6.43     ~ (e4 = e3) &  ~ (e4 = e2) &  ~ (e4 = e1) &  ~ (e4 = e0) &  ~ (e3 = e2) &  ~
% 41.49/6.43    (e3 = e1) &  ~ (e3 = e0) &  ~ (e2 = e1) &  ~ (e2 = e0) &  ~ (e1 = e0) & $i(e4)
% 41.49/6.43    & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 41.49/6.43  
% 41.49/6.43    (ax6)
% 41.49/6.43    op(e4, e2) = e1 & op(e2, e4) = e3 & op(e1, e1) = e0 & $i(e4) & $i(e3) & $i(e2)
% 41.49/6.43    & $i(e1) & $i(e0)
% 41.49/6.43  
% 41.49/6.43    (co1)
% 41.49/6.44    $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) &  ? [v0: $i] :  ? [v1: $i] :  ?
% 41.49/6.44    [v2: $i] :  ? [v3: $i] :  ? [v4: $i] :  ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i]
% 41.49/6.44    :  ? [v8: $i] :  ? [v9: $i] :  ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ?
% 41.49/6.44    [v13: $i] :  ? [v14: $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ?
% 41.49/6.44    [v18: $i] :  ? [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ?
% 41.49/6.44    [v23: $i] :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ?
% 41.49/6.44    [v28: $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 41.49/6.44    [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i] :  ?
% 41.49/6.44    [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42: $i] :  ?
% 41.49/6.44    [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ? [v47: $i] :  ?
% 41.49/6.44    [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i] :  ? [v52: $i] :  ?
% 41.49/6.44    [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56: $i] :  ? [v57: $i] :  ?
% 41.49/6.44    [v58: $i] :  ? [v59: $i] :  ? [v60: $i] :  ? [v61: $i] :  ? [v62: $i] :  ?
% 41.49/6.44    [v63: $i] :  ? [v64: $i] :  ? [v65: $i] :  ? [v66: $i] :  ? [v67: $i] :  ?
% 41.49/6.44    [v68: $i] :  ? [v69: $i] : (op(e4, v24) = v59 & op(e4, v23) = v50 & op(e4,
% 41.49/6.44        v22) = v41 & op(e4, v21) = v32 & op(e4, v20) = v69 & op(e4, v19) = v68 &
% 41.49/6.44      op(e4, v14) = v66 & op(e4, v9) = v64 & op(e4, v4) = v62 & op(e4, e4) = v20 &
% 41.49/6.44      op(e4, e3) = v24 & op(e4, e2) = v23 & op(e4, e1) = v22 & op(e4, e0) = v21 &
% 41.49/6.44      op(e3, v24) = v60 & op(e3, v19) = v67 & op(e3, v18) = v48 & op(e3, v17) =
% 41.49/6.44      v39 & op(e3, v16) = v30 & op(e3, v15) = v58 & op(e3, v13) = v57 & op(e3, v8)
% 41.49/6.44      = v55 & op(e3, v3) = v53 & op(e3, e4) = v19 & op(e3, e3) = v15 & op(e3, e2)
% 41.49/6.44      = v18 & op(e3, e1) = v17 & op(e3, e0) = v16 & op(e2, v23) = v51 & op(e2,
% 41.49/6.44        v18) = v49 & op(e2, v14) = v65 & op(e2, v13) = v56 & op(e2, v12) = v37 &
% 41.49/6.44      op(e2, v11) = v28 & op(e2, v10) = v47 & op(e2, v7) = v46 & op(e2, v2) = v44
% 41.49/6.44      & op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v10 & op(e2, e1) = v12
% 41.49/6.44      & op(e2, e0) = v11 & op(e1, v22) = v42 & op(e1, v17) = v40 & op(e1, v12) =
% 41.49/6.44      v38 & op(e1, v9) = v63 & op(e1, v8) = v54 & op(e1, v7) = v45 & op(e1, v6) =
% 41.49/6.44      v26 & op(e1, v5) = v36 & op(e1, v1) = v35 & op(e1, e4) = v9 & op(e1, e3) =
% 41.49/6.44      v8 & op(e1, e2) = v7 & op(e1, e1) = v5 & op(e1, e0) = v6 & op(e0, v21) = v33
% 41.49/6.44      & op(e0, v16) = v31 & op(e0, v11) = v29 & op(e0, v6) = v27 & op(e0, v4) =
% 41.49/6.44      v61 & op(e0, v3) = v52 & op(e0, v2) = v43 & op(e0, v1) = v34 & op(e0, v0) =
% 41.49/6.44      v25 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1
% 41.49/6.44      & op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) &
% 41.49/6.44      $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) &
% 41.49/6.44      $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) &
% 41.49/6.44      $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) &
% 41.49/6.44      $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) &
% 41.49/6.44      $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) &
% 41.49/6.44      $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 41.49/6.44      $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 41.49/6.44      $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8)
% 41.49/6.44      & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (
% 41.49/6.44        ~ (v20 = e3) | v24 = e4) & ( ~ (v20 = e2) | v23 = e4) & ( ~ (v20 = e1) |
% 41.49/6.44        v22 = e4) & ( ~ (v20 = e0) | v21 = e4) & ( ~ (v15 = e4) | v19 = e3) & ( ~
% 41.49/6.44        (v15 = e2) | v18 = e3) & ( ~ (v15 = e1) | v17 = e3) & ( ~ (v15 = e0) | v16
% 41.49/6.44        = e3) & ( ~ (v10 = e4) | v14 = e2) & ( ~ (v10 = e3) | v13 = e2) & ( ~ (v10
% 41.49/6.44          = e1) | v12 = e2) & ( ~ (v10 = e0) | v11 = e2) & ( ~ (v5 = e4) | v9 =
% 41.49/6.44        e1) & ( ~ (v5 = e3) | v8 = e1) & ( ~ (v5 = e2) | v7 = e1) & ( ~ (v5 = e0)
% 41.49/6.44        | v6 = e1) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0
% 41.49/6.44          = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0) & ((v68 = e3 &  ~ (v67 =
% 41.49/6.44            e4)) | (v66 = e2 &  ~ (v65 = e4)) | (v64 = e1 &  ~ (v63 = e4)) | (v62
% 41.49/6.44          = e0 &  ~ (v61 = e4))) & ((v60 = e4 &  ~ (v59 = e3)) | (v57 = e2 &  ~
% 41.49/6.44          (v56 = e3)) | (v55 = e1 &  ~ (v54 = e3)) | (v53 = e0 &  ~ (v52 = e3))) &
% 41.49/6.44      ((v51 = e4 &  ~ (v50 = e2)) | (v49 = e3 &  ~ (v48 = e2)) | (v46 = e1 &  ~
% 41.49/6.44          (v45 = e2)) | (v44 = e0 &  ~ (v43 = e2))) & ((v42 = e4 &  ~ (v41 = e1))
% 41.49/6.44        | (v40 = e3 &  ~ (v39 = e1)) | (v38 = e2 &  ~ (v37 = e1)) | (v35 = e0 &  ~
% 41.49/6.44          (v34 = e1))) & ((v33 = e4 &  ~ (v32 = e0)) | (v31 = e3 &  ~ (v30 = e0))
% 41.49/6.44        | (v29 = e2 &  ~ (v28 = e0)) | (v27 = e1 &  ~ (v26 = e0))))
% 41.49/6.44  
% 41.49/6.44    (function-axioms)
% 41.49/6.44     ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~ (op(v3,
% 41.49/6.44          v2) = v1) |  ~ (op(v3, v2) = v0))
% 41.49/6.44  
% 41.49/6.44  Further assumptions not needed in the proof:
% 41.49/6.44  --------------------------------------------
% 41.49/6.45  ax2
% 41.49/6.45  
% 41.49/6.45  Those formulas are unsatisfiable:
% 41.49/6.45  ---------------------------------
% 41.49/6.45  
% 41.49/6.45  Begin of proof
% 41.49/6.45  | 
% 41.49/6.45  | ALPHA: (ax1) implies:
% 41.90/6.46  |   (1)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 41.90/6.46  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 41.90/6.46  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 41.90/6.46  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 41.90/6.46  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 41.90/6.46  |        [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 41.90/6.46  |          op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 41.90/6.46  |          v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 41.90/6.46  |            e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 41.90/6.46  |          & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 41.90/6.46  |          v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 41.90/6.46  |          = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 41.90/6.46  |          & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 41.90/6.46  |          & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 41.90/6.46  |          & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 41.90/6.46  |          $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 41.90/6.46  |            | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 41.90/6.46  |            e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 41.90/6.46  |            = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 41.90/6.46  |            = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 41.90/6.46  |            = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 41.90/6.46  |            = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 41.90/6.46  |            = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 41.90/6.46  |          (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 41.90/6.46  |            v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 41.90/6.46  |            v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 41.90/6.46  |            v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 41.90/6.46  |            v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 41.90/6.46  |          & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 41.90/6.46  |            e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 41.90/6.46  |            v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 41.90/6.46  |            e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 41.90/6.46  |            | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 41.90/6.46  |            = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 41.90/6.46  |            | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 41.90/6.46  |          (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 41.90/6.46  | 
% 41.90/6.46  | ALPHA: (ax3) implies:
% 41.90/6.47  |   (2)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 41.90/6.47  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 41.90/6.47  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 41.90/6.47  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 41.90/6.47  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 41.90/6.47  |        [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v20 &
% 41.90/6.47  |          op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 41.90/6.47  |          v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2,
% 41.90/6.47  |            e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13
% 41.90/6.47  |          & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2)
% 41.90/6.47  |          = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0,
% 41.90/6.47  |            e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 &
% 41.90/6.47  |          $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 41.90/6.47  |          $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 41.90/6.47  |          $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 41.90/6.47  |          $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | v20 = e4 |
% 41.90/6.47  |            v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = e4 |
% 41.90/6.47  |            v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 41.90/6.47  |          (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 |
% 41.90/6.47  |            v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 |
% 41.90/6.47  |            v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 |
% 41.90/6.47  |            v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 |
% 41.90/6.47  |            v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | v15 = e0 | v8 = e0) &
% 41.90/6.47  |          (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | v4 = e0) & (v23 = e4 |
% 41.90/6.47  |            v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & (v23 = e3 | v21 = e3 |
% 41.90/6.47  |            v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 | v17 = e2 |
% 41.90/6.47  |            v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = e1 |
% 41.90/6.47  |            v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 41.90/6.47  |          (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 |
% 41.90/6.47  |            v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 |
% 41.90/6.47  |            v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 |
% 41.90/6.47  |            v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 |
% 41.90/6.47  |            v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | v10 = e4 | v2 = e4) &
% 41.90/6.47  |          (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | v2 = e3) & (v20 = e2 |
% 41.90/6.47  |            v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & (v20 = e1 | v19 = e1 |
% 41.90/6.47  |            v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 | v16 = e0 |
% 41.90/6.47  |            v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = e4 |
% 41.90/6.47  |            v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 41.90/6.47  |          (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 |
% 41.90/6.47  |            v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 |
% 41.90/6.47  |            v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 |
% 41.90/6.47  |            v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1
% 41.90/6.47  |            = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v15
% 41.90/6.47  |            = e1 | v14 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v15 = e0 | v14 =
% 41.90/6.47  |            e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v12 = e4 | v11 = e4 | v10 =
% 41.90/6.47  |            e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 | v10 = e3 | v9 = e3
% 41.90/6.47  |            | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2 | v5 = e2) &
% 41.90/6.47  |          (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & (v12 = e0 |
% 41.90/6.47  |            v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | v6
% 41.90/6.47  |            = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3
% 41.90/6.47  |            | v0 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) &
% 41.90/6.47  |          (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 =
% 41.90/6.47  |            e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 |
% 41.90/6.47  |            v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 =
% 41.90/6.47  |            e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v0 = e0
% 41.90/6.47  |            | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v4 = e0 | v3 = e0 |
% 41.90/6.47  |                v2 = e0 | v1 = e0))))
% 41.90/6.47  | 
% 41.90/6.47  | ALPHA: (ax4) implies:
% 41.90/6.48  |   (3)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 41.90/6.48  |        ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] :  ?
% 41.90/6.48  |        [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14: $i] :
% 41.90/6.48  |         ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ? [v19:
% 41.90/6.48  |          $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i] :  ?
% 41.90/6.48  |        [v24: $i] : ( ~ (v24 = v23) &  ~ (v24 = v22) &  ~ (v24 = v21) &  ~ (v24
% 41.90/6.48  |            = v20) &  ~ (v24 = v19) &  ~ (v24 = v14) &  ~ (v24 = v9) &  ~ (v24
% 41.90/6.48  |            = v4) &  ~ (v23 = v22) &  ~ (v23 = v21) &  ~ (v23 = v20) &  ~ (v23
% 41.90/6.48  |            = v18) &  ~ (v23 = v13) &  ~ (v23 = v8) &  ~ (v23 = v3) &  ~ (v22 =
% 41.90/6.48  |            v21) &  ~ (v22 = v20) &  ~ (v22 = v17) &  ~ (v22 = v12) &  ~ (v22 =
% 41.90/6.48  |            v7) &  ~ (v22 = v2) &  ~ (v21 = v20) &  ~ (v21 = v16) &  ~ (v21 =
% 41.90/6.48  |            v11) &  ~ (v21 = v6) &  ~ (v21 = v1) &  ~ (v20 = v15) &  ~ (v20 =
% 41.90/6.48  |            v10) &  ~ (v20 = v5) &  ~ (v20 = v0) &  ~ (v19 = v18) &  ~ (v19 =
% 41.90/6.48  |            v17) &  ~ (v19 = v16) &  ~ (v19 = v15) &  ~ (v19 = v14) &  ~ (v19 =
% 41.90/6.48  |            v9) &  ~ (v19 = v4) &  ~ (v18 = v17) &  ~ (v18 = v16) &  ~ (v18 =
% 41.90/6.48  |            v15) &  ~ (v18 = v13) &  ~ (v18 = v8) &  ~ (v18 = v3) &  ~ (v17 =
% 41.90/6.48  |            v16) &  ~ (v17 = v15) &  ~ (v17 = v12) &  ~ (v17 = v7) &  ~ (v17 =
% 41.90/6.48  |            v2) &  ~ (v16 = v15) &  ~ (v16 = v11) &  ~ (v16 = v6) &  ~ (v16 =
% 41.90/6.48  |            v1) &  ~ (v15 = v10) &  ~ (v15 = v5) &  ~ (v15 = v0) &  ~ (v14 =
% 41.90/6.48  |            v13) &  ~ (v14 = v12) &  ~ (v14 = v11) &  ~ (v14 = v10) &  ~ (v14 =
% 41.90/6.48  |            v9) &  ~ (v14 = v4) &  ~ (v13 = v12) &  ~ (v13 = v11) &  ~ (v13 =
% 41.90/6.48  |            v10) &  ~ (v13 = v8) &  ~ (v13 = v3) &  ~ (v12 = v11) &  ~ (v12 =
% 41.90/6.48  |            v10) &  ~ (v12 = v7) &  ~ (v12 = v2) &  ~ (v11 = v10) &  ~ (v11 =
% 41.90/6.48  |            v6) &  ~ (v11 = v1) &  ~ (v10 = v5) &  ~ (v10 = v0) &  ~ (v9 = v8)
% 41.90/6.48  |          &  ~ (v9 = v7) &  ~ (v9 = v6) &  ~ (v9 = v5) &  ~ (v9 = v4) &  ~ (v8
% 41.90/6.48  |            = v7) &  ~ (v8 = v6) &  ~ (v8 = v5) &  ~ (v8 = v3) &  ~ (v7 = v6) &
% 41.90/6.48  |           ~ (v7 = v5) &  ~ (v7 = v2) &  ~ (v6 = v5) &  ~ (v6 = v1) &  ~ (v5 =
% 42.03/6.48  |            v0) &  ~ (v4 = v3) &  ~ (v4 = v2) &  ~ (v4 = v1) &  ~ (v4 = v0) & 
% 42.03/6.48  |          ~ (v3 = v2) &  ~ (v3 = v1) &  ~ (v3 = v0) &  ~ (v2 = v1) &  ~ (v2 =
% 42.03/6.48  |            v0) &  ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4,
% 42.03/6.48  |            e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 &
% 42.03/6.48  |          op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) =
% 42.03/6.48  |          v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2,
% 42.03/6.48  |            e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, e3) = v16 &
% 42.03/6.48  |          op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & op(e0, e4) =
% 42.03/6.48  |          v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0,
% 42.03/6.48  |            e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 42.03/6.48  |          $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 42.03/6.48  |          $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 42.03/6.48  |          $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 42.03/6.48  | 
% 42.03/6.48  | ALPHA: (ax5) implies:
% 42.03/6.48  |   (4)   ~ (e3 = e0)
% 42.03/6.48  |   (5)   ~ (e3 = e1)
% 42.03/6.48  |   (6)   ~ (e3 = e2)
% 42.03/6.48  |   (7)   ~ (e4 = e1)
% 42.03/6.48  |   (8)   ~ (e4 = e2)
% 42.03/6.48  |   (9)   ~ (e4 = e3)
% 42.03/6.48  | 
% 42.03/6.48  | ALPHA: (ax6) implies:
% 42.03/6.48  |   (10)  op(e1, e1) = e0
% 42.03/6.48  |   (11)  op(e2, e4) = e3
% 42.03/6.48  |   (12)  op(e4, e2) = e1
% 42.03/6.48  | 
% 42.03/6.48  | ALPHA: (co1) implies:
% 42.03/6.49  |   (13)   ? [v0: $i] :  ? [v1: $i] :  ? [v2: $i] :  ? [v3: $i] :  ? [v4: $i] : 
% 42.03/6.49  |         ? [v5: $i] :  ? [v6: $i] :  ? [v7: $i] :  ? [v8: $i] :  ? [v9: $i] : 
% 42.03/6.49  |         ? [v10: $i] :  ? [v11: $i] :  ? [v12: $i] :  ? [v13: $i] :  ? [v14:
% 42.03/6.49  |           $i] :  ? [v15: $i] :  ? [v16: $i] :  ? [v17: $i] :  ? [v18: $i] :  ?
% 42.03/6.49  |         [v19: $i] :  ? [v20: $i] :  ? [v21: $i] :  ? [v22: $i] :  ? [v23: $i]
% 42.03/6.49  |         :  ? [v24: $i] :  ? [v25: $i] :  ? [v26: $i] :  ? [v27: $i] :  ? [v28:
% 42.03/6.49  |           $i] :  ? [v29: $i] :  ? [v30: $i] :  ? [v31: $i] :  ? [v32: $i] :  ?
% 42.03/6.49  |         [v33: $i] :  ? [v34: $i] :  ? [v35: $i] :  ? [v36: $i] :  ? [v37: $i]
% 42.03/6.49  |         :  ? [v38: $i] :  ? [v39: $i] :  ? [v40: $i] :  ? [v41: $i] :  ? [v42:
% 42.03/6.49  |           $i] :  ? [v43: $i] :  ? [v44: $i] :  ? [v45: $i] :  ? [v46: $i] :  ?
% 42.03/6.49  |         [v47: $i] :  ? [v48: $i] :  ? [v49: $i] :  ? [v50: $i] :  ? [v51: $i]
% 42.03/6.49  |         :  ? [v52: $i] :  ? [v53: $i] :  ? [v54: $i] :  ? [v55: $i] :  ? [v56:
% 42.03/6.49  |           $i] :  ? [v57: $i] :  ? [v58: $i] :  ? [v59: $i] :  ? [v60: $i] :  ?
% 42.03/6.49  |         [v61: $i] :  ? [v62: $i] :  ? [v63: $i] :  ? [v64: $i] :  ? [v65: $i]
% 42.03/6.49  |         :  ? [v66: $i] :  ? [v67: $i] :  ? [v68: $i] :  ? [v69: $i] : (op(e4,
% 42.03/6.49  |             v24) = v59 & op(e4, v23) = v50 & op(e4, v22) = v41 & op(e4, v21) =
% 42.03/6.49  |           v32 & op(e4, v20) = v69 & op(e4, v19) = v68 & op(e4, v14) = v66 &
% 42.03/6.49  |           op(e4, v9) = v64 & op(e4, v4) = v62 & op(e4, e4) = v20 & op(e4, e3)
% 42.03/6.49  |           = v24 & op(e4, e2) = v23 & op(e4, e1) = v22 & op(e4, e0) = v21 &
% 42.03/6.49  |           op(e3, v24) = v60 & op(e3, v19) = v67 & op(e3, v18) = v48 & op(e3,
% 42.03/6.49  |             v17) = v39 & op(e3, v16) = v30 & op(e3, v15) = v58 & op(e3, v13) =
% 42.03/6.49  |           v57 & op(e3, v8) = v55 & op(e3, v3) = v53 & op(e3, e4) = v19 &
% 42.03/6.49  |           op(e3, e3) = v15 & op(e3, e2) = v18 & op(e3, e1) = v17 & op(e3, e0)
% 42.03/6.49  |           = v16 & op(e2, v23) = v51 & op(e2, v18) = v49 & op(e2, v14) = v65 &
% 42.03/6.49  |           op(e2, v13) = v56 & op(e2, v12) = v37 & op(e2, v11) = v28 & op(e2,
% 42.03/6.49  |             v10) = v47 & op(e2, v7) = v46 & op(e2, v2) = v44 & op(e2, e4) =
% 42.03/6.49  |           v14 & op(e2, e3) = v13 & op(e2, e2) = v10 & op(e2, e1) = v12 &
% 42.03/6.49  |           op(e2, e0) = v11 & op(e1, v22) = v42 & op(e1, v17) = v40 & op(e1,
% 42.03/6.49  |             v12) = v38 & op(e1, v9) = v63 & op(e1, v8) = v54 & op(e1, v7) =
% 42.03/6.49  |           v45 & op(e1, v6) = v26 & op(e1, v5) = v36 & op(e1, v1) = v35 &
% 42.03/6.49  |           op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) =
% 42.03/6.49  |           v5 & op(e1, e0) = v6 & op(e0, v21) = v33 & op(e0, v16) = v31 &
% 42.03/6.49  |           op(e0, v11) = v29 & op(e0, v6) = v27 & op(e0, v4) = v61 & op(e0, v3)
% 42.03/6.49  |           = v52 & op(e0, v2) = v43 & op(e0, v1) = v34 & op(e0, v0) = v25 &
% 42.03/6.49  |           op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) =
% 42.03/6.49  |           v1 & op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) & $i(v66) &
% 42.03/6.49  |           $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59)
% 42.03/6.49  |           & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) &
% 42.03/6.49  |           $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46)
% 42.03/6.49  |           & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) &
% 42.03/6.49  |           $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33)
% 42.03/6.49  |           & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 42.03/6.49  |           $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 42.03/6.49  |           & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 42.03/6.49  |           $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 42.03/6.49  |           $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 42.03/6.49  |             (v20 = e3) | v24 = e4) & ( ~ (v20 = e2) | v23 = e4) & ( ~ (v20 =
% 42.03/6.49  |               e1) | v22 = e4) & ( ~ (v20 = e0) | v21 = e4) & ( ~ (v15 = e4) |
% 42.03/6.49  |             v19 = e3) & ( ~ (v15 = e2) | v18 = e3) & ( ~ (v15 = e1) | v17 =
% 42.03/6.49  |             e3) & ( ~ (v15 = e0) | v16 = e3) & ( ~ (v10 = e4) | v14 = e2) & (
% 42.03/6.49  |             ~ (v10 = e3) | v13 = e2) & ( ~ (v10 = e1) | v12 = e2) & ( ~ (v10 =
% 42.03/6.49  |               e0) | v11 = e2) & ( ~ (v5 = e4) | v9 = e1) & ( ~ (v5 = e3) | v8
% 42.03/6.49  |             = e1) & ( ~ (v5 = e2) | v7 = e1) & ( ~ (v5 = e0) | v6 = e1) & ( ~
% 42.03/6.49  |             (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) |
% 42.03/6.49  |             v2 = e0) & ( ~ (v0 = e1) | v1 = e0) & ((v68 = e3 &  ~ (v67 = e4))
% 42.03/6.49  |             | (v66 = e2 &  ~ (v65 = e4)) | (v64 = e1 &  ~ (v63 = e4)) | (v62 =
% 42.03/6.49  |               e0 &  ~ (v61 = e4))) & ((v60 = e4 &  ~ (v59 = e3)) | (v57 = e2 &
% 42.03/6.49  |                ~ (v56 = e3)) | (v55 = e1 &  ~ (v54 = e3)) | (v53 = e0 &  ~
% 42.03/6.49  |               (v52 = e3))) & ((v51 = e4 &  ~ (v50 = e2)) | (v49 = e3 &  ~ (v48
% 42.03/6.49  |                 = e2)) | (v46 = e1 &  ~ (v45 = e2)) | (v44 = e0 &  ~ (v43 =
% 42.03/6.49  |                 e2))) & ((v42 = e4 &  ~ (v41 = e1)) | (v40 = e3 &  ~ (v39 =
% 42.03/6.49  |                 e1)) | (v38 = e2 &  ~ (v37 = e1)) | (v35 = e0 &  ~ (v34 =
% 42.03/6.49  |                 e1))) & ((v33 = e4 &  ~ (v32 = e0)) | (v31 = e3 &  ~ (v30 =
% 42.03/6.49  |                 e0)) | (v29 = e2 &  ~ (v28 = e0)) | (v27 = e1 &  ~ (v26 =
% 42.03/6.49  |                 e0))))
% 42.03/6.49  | 
% 42.03/6.49  | DELTA: instantiating (3) with fresh symbols all_4_0, all_4_1, all_4_2,
% 42.03/6.49  |        all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 42.03/6.49  |        all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 42.03/6.49  |        all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 42.03/6.49  |        all_4_24 gives:
% 42.03/6.50  |   (14)   ~ (all_4_0 = all_4_1) &  ~ (all_4_0 = all_4_2) &  ~ (all_4_0 =
% 42.03/6.50  |           all_4_3) &  ~ (all_4_0 = all_4_4) &  ~ (all_4_0 = all_4_5) &  ~
% 42.03/6.50  |         (all_4_0 = all_4_10) &  ~ (all_4_0 = all_4_15) &  ~ (all_4_0 =
% 42.03/6.50  |           all_4_20) &  ~ (all_4_1 = all_4_2) &  ~ (all_4_1 = all_4_3) &  ~
% 42.03/6.50  |         (all_4_1 = all_4_4) &  ~ (all_4_1 = all_4_6) &  ~ (all_4_1 = all_4_11)
% 42.03/6.50  |         &  ~ (all_4_1 = all_4_16) &  ~ (all_4_1 = all_4_21) &  ~ (all_4_2 =
% 42.03/6.50  |           all_4_3) &  ~ (all_4_2 = all_4_4) &  ~ (all_4_2 = all_4_7) &  ~
% 42.03/6.50  |         (all_4_2 = all_4_12) &  ~ (all_4_2 = all_4_17) &  ~ (all_4_2 =
% 42.03/6.50  |           all_4_22) &  ~ (all_4_3 = all_4_4) &  ~ (all_4_3 = all_4_8) &  ~
% 42.03/6.50  |         (all_4_3 = all_4_13) &  ~ (all_4_3 = all_4_18) &  ~ (all_4_3 =
% 42.03/6.50  |           all_4_23) &  ~ (all_4_4 = all_4_9) &  ~ (all_4_4 = all_4_14) &  ~
% 42.03/6.50  |         (all_4_4 = all_4_19) &  ~ (all_4_4 = all_4_24) &  ~ (all_4_5 =
% 42.03/6.50  |           all_4_6) &  ~ (all_4_5 = all_4_7) &  ~ (all_4_5 = all_4_8) &  ~
% 42.03/6.50  |         (all_4_5 = all_4_9) &  ~ (all_4_5 = all_4_10) &  ~ (all_4_5 =
% 42.03/6.50  |           all_4_15) &  ~ (all_4_5 = all_4_20) &  ~ (all_4_6 = all_4_7) &  ~
% 42.03/6.50  |         (all_4_6 = all_4_8) &  ~ (all_4_6 = all_4_9) &  ~ (all_4_6 = all_4_11)
% 42.03/6.50  |         &  ~ (all_4_6 = all_4_16) &  ~ (all_4_6 = all_4_21) &  ~ (all_4_7 =
% 42.03/6.50  |           all_4_8) &  ~ (all_4_7 = all_4_9) &  ~ (all_4_7 = all_4_12) &  ~
% 42.03/6.50  |         (all_4_7 = all_4_17) &  ~ (all_4_7 = all_4_22) &  ~ (all_4_8 =
% 42.03/6.50  |           all_4_9) &  ~ (all_4_8 = all_4_13) &  ~ (all_4_8 = all_4_18) &  ~
% 42.03/6.50  |         (all_4_8 = all_4_23) &  ~ (all_4_9 = all_4_14) &  ~ (all_4_9 =
% 42.03/6.50  |           all_4_19) &  ~ (all_4_9 = all_4_24) &  ~ (all_4_10 = all_4_11) &  ~
% 42.03/6.50  |         (all_4_10 = all_4_12) &  ~ (all_4_10 = all_4_13) &  ~ (all_4_10 =
% 42.03/6.50  |           all_4_14) &  ~ (all_4_10 = all_4_15) &  ~ (all_4_10 = all_4_20) &  ~
% 42.03/6.50  |         (all_4_11 = all_4_12) &  ~ (all_4_11 = all_4_13) &  ~ (all_4_11 =
% 42.03/6.50  |           all_4_14) &  ~ (all_4_11 = all_4_16) &  ~ (all_4_11 = all_4_21) &  ~
% 42.03/6.50  |         (all_4_12 = all_4_13) &  ~ (all_4_12 = all_4_14) &  ~ (all_4_12 =
% 42.03/6.50  |           all_4_17) &  ~ (all_4_12 = all_4_22) &  ~ (all_4_13 = all_4_14) &  ~
% 42.03/6.50  |         (all_4_13 = all_4_18) &  ~ (all_4_13 = all_4_23) &  ~ (all_4_14 =
% 42.03/6.50  |           all_4_19) &  ~ (all_4_14 = all_4_24) &  ~ (all_4_15 = all_4_16) &  ~
% 42.03/6.50  |         (all_4_15 = all_4_17) &  ~ (all_4_15 = all_4_18) &  ~ (all_4_15 =
% 42.03/6.50  |           all_4_19) &  ~ (all_4_15 = all_4_20) &  ~ (all_4_16 = all_4_17) &  ~
% 42.03/6.50  |         (all_4_16 = all_4_18) &  ~ (all_4_16 = all_4_19) &  ~ (all_4_16 =
% 42.03/6.50  |           all_4_21) &  ~ (all_4_17 = all_4_18) &  ~ (all_4_17 = all_4_19) &  ~
% 42.03/6.50  |         (all_4_17 = all_4_22) &  ~ (all_4_18 = all_4_19) &  ~ (all_4_18 =
% 42.03/6.50  |           all_4_23) &  ~ (all_4_19 = all_4_24) &  ~ (all_4_20 = all_4_21) &  ~
% 42.03/6.50  |         (all_4_20 = all_4_22) &  ~ (all_4_20 = all_4_23) &  ~ (all_4_20 =
% 42.03/6.50  |           all_4_24) &  ~ (all_4_21 = all_4_22) &  ~ (all_4_21 = all_4_23) &  ~
% 42.03/6.50  |         (all_4_21 = all_4_24) &  ~ (all_4_22 = all_4_23) &  ~ (all_4_22 =
% 42.03/6.50  |           all_4_24) &  ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 42.03/6.50  |           e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 42.03/6.50  |         op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 42.03/6.50  |         op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 42.03/6.50  |         & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 42.03/6.50  |         & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 42.03/6.50  |         & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 42.03/6.50  |         & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 42.03/6.50  |         & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 42.03/6.50  |         all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 42.03/6.50  |         $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 42.03/6.50  |         $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 42.03/6.50  |         $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 42.03/6.50  |         $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 42.03/6.50  |         $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 42.03/6.50  | 
% 42.03/6.50  | ALPHA: (14) implies:
% 42.03/6.50  |   (15)   ~ (all_4_23 = all_4_24)
% 42.03/6.50  |   (16)   ~ (all_4_22 = all_4_24)
% 42.03/6.50  |   (17)   ~ (all_4_22 = all_4_23)
% 42.03/6.50  |   (18)   ~ (all_4_21 = all_4_24)
% 42.03/6.50  |   (19)   ~ (all_4_21 = all_4_23)
% 42.03/6.50  |   (20)   ~ (all_4_21 = all_4_22)
% 42.03/6.50  |   (21)   ~ (all_4_20 = all_4_24)
% 42.03/6.50  |   (22)   ~ (all_4_20 = all_4_23)
% 42.03/6.50  |   (23)   ~ (all_4_20 = all_4_22)
% 42.03/6.50  |   (24)   ~ (all_4_20 = all_4_21)
% 42.03/6.50  |   (25)   ~ (all_4_19 = all_4_24)
% 42.03/6.50  |   (26)   ~ (all_4_18 = all_4_23)
% 42.03/6.50  |   (27)   ~ (all_4_17 = all_4_22)
% 42.03/6.50  |   (28)   ~ (all_4_17 = all_4_19)
% 42.03/6.50  |   (29)   ~ (all_4_17 = all_4_18)
% 42.03/6.50  |   (30)   ~ (all_4_16 = all_4_21)
% 42.03/6.50  |   (31)   ~ (all_4_16 = all_4_19)
% 42.03/6.50  |   (32)   ~ (all_4_16 = all_4_18)
% 42.03/6.50  |   (33)   ~ (all_4_16 = all_4_17)
% 42.03/6.50  |   (34)   ~ (all_4_15 = all_4_20)
% 42.03/6.50  |   (35)   ~ (all_4_15 = all_4_19)
% 42.03/6.50  |   (36)   ~ (all_4_15 = all_4_18)
% 42.03/6.50  |   (37)   ~ (all_4_15 = all_4_17)
% 42.03/6.50  |   (38)   ~ (all_4_15 = all_4_16)
% 42.03/6.50  |   (39)   ~ (all_4_14 = all_4_24)
% 42.03/6.50  |   (40)   ~ (all_4_14 = all_4_19)
% 42.03/6.50  |   (41)   ~ (all_4_13 = all_4_23)
% 42.03/6.50  |   (42)   ~ (all_4_13 = all_4_18)
% 42.03/6.50  |   (43)   ~ (all_4_13 = all_4_14)
% 42.03/6.50  |   (44)   ~ (all_4_12 = all_4_22)
% 42.03/6.50  |   (45)   ~ (all_4_12 = all_4_17)
% 42.03/6.50  |   (46)   ~ (all_4_12 = all_4_14)
% 42.03/6.50  |   (47)   ~ (all_4_12 = all_4_13)
% 42.03/6.50  |   (48)   ~ (all_4_11 = all_4_21)
% 42.03/6.50  |   (49)   ~ (all_4_11 = all_4_16)
% 42.03/6.50  |   (50)   ~ (all_4_11 = all_4_14)
% 42.03/6.50  |   (51)   ~ (all_4_11 = all_4_13)
% 42.03/6.50  |   (52)   ~ (all_4_11 = all_4_12)
% 42.03/6.50  |   (53)   ~ (all_4_10 = all_4_15)
% 42.03/6.50  |   (54)   ~ (all_4_10 = all_4_14)
% 42.03/6.50  |   (55)   ~ (all_4_10 = all_4_12)
% 42.03/6.50  |   (56)   ~ (all_4_10 = all_4_11)
% 42.03/6.50  |   (57)   ~ (all_4_9 = all_4_24)
% 42.03/6.50  |   (58)   ~ (all_4_9 = all_4_19)
% 42.03/6.50  |   (59)   ~ (all_4_9 = all_4_14)
% 42.03/6.50  |   (60)   ~ (all_4_8 = all_4_23)
% 42.03/6.50  |   (61)   ~ (all_4_8 = all_4_18)
% 42.03/6.50  |   (62)   ~ (all_4_8 = all_4_13)
% 42.03/6.50  |   (63)   ~ (all_4_8 = all_4_9)
% 42.03/6.50  |   (64)   ~ (all_4_7 = all_4_22)
% 42.03/6.50  |   (65)   ~ (all_4_7 = all_4_17)
% 42.03/6.50  |   (66)   ~ (all_4_7 = all_4_12)
% 42.03/6.50  |   (67)   ~ (all_4_7 = all_4_9)
% 42.03/6.50  |   (68)   ~ (all_4_7 = all_4_8)
% 42.03/6.50  |   (69)   ~ (all_4_6 = all_4_21)
% 42.03/6.50  |   (70)   ~ (all_4_6 = all_4_16)
% 42.03/6.50  |   (71)   ~ (all_4_6 = all_4_11)
% 42.03/6.50  |   (72)   ~ (all_4_6 = all_4_9)
% 42.03/6.50  |   (73)   ~ (all_4_6 = all_4_8)
% 42.03/6.50  |   (74)   ~ (all_4_6 = all_4_7)
% 42.03/6.50  |   (75)   ~ (all_4_5 = all_4_20)
% 42.03/6.50  |   (76)   ~ (all_4_5 = all_4_15)
% 42.03/6.50  |   (77)   ~ (all_4_5 = all_4_10)
% 42.03/6.50  |   (78)   ~ (all_4_5 = all_4_9)
% 42.03/6.50  |   (79)   ~ (all_4_5 = all_4_8)
% 42.03/6.51  |   (80)   ~ (all_4_5 = all_4_7)
% 42.03/6.51  |   (81)   ~ (all_4_5 = all_4_6)
% 42.03/6.51  |   (82)   ~ (all_4_4 = all_4_24)
% 42.03/6.51  |   (83)   ~ (all_4_4 = all_4_19)
% 42.03/6.51  |   (84)   ~ (all_4_4 = all_4_14)
% 42.03/6.51  |   (85)   ~ (all_4_4 = all_4_9)
% 42.03/6.51  |   (86)   ~ (all_4_3 = all_4_23)
% 42.03/6.51  |   (87)   ~ (all_4_3 = all_4_18)
% 42.03/6.51  |   (88)   ~ (all_4_3 = all_4_13)
% 42.03/6.51  |   (89)   ~ (all_4_3 = all_4_8)
% 42.03/6.51  |   (90)   ~ (all_4_3 = all_4_4)
% 42.03/6.51  |   (91)   ~ (all_4_2 = all_4_22)
% 42.03/6.51  |   (92)   ~ (all_4_2 = all_4_17)
% 42.03/6.51  |   (93)   ~ (all_4_2 = all_4_12)
% 42.03/6.51  |   (94)   ~ (all_4_2 = all_4_7)
% 42.03/6.51  |   (95)   ~ (all_4_2 = all_4_4)
% 42.03/6.51  |   (96)   ~ (all_4_2 = all_4_3)
% 42.03/6.51  |   (97)   ~ (all_4_1 = all_4_21)
% 42.03/6.51  |   (98)   ~ (all_4_1 = all_4_16)
% 42.03/6.51  |   (99)   ~ (all_4_1 = all_4_11)
% 42.03/6.51  |   (100)   ~ (all_4_1 = all_4_6)
% 42.03/6.51  |   (101)   ~ (all_4_1 = all_4_4)
% 42.03/6.51  |   (102)   ~ (all_4_1 = all_4_3)
% 42.03/6.51  |   (103)   ~ (all_4_1 = all_4_2)
% 42.03/6.51  |   (104)   ~ (all_4_0 = all_4_20)
% 42.03/6.51  |   (105)   ~ (all_4_0 = all_4_15)
% 42.03/6.51  |   (106)   ~ (all_4_0 = all_4_10)
% 42.03/6.51  |   (107)   ~ (all_4_0 = all_4_5)
% 42.03/6.51  |   (108)   ~ (all_4_0 = all_4_4)
% 42.03/6.51  |   (109)   ~ (all_4_0 = all_4_3)
% 42.03/6.51  |   (110)   ~ (all_4_0 = all_4_2)
% 42.03/6.51  |   (111)   ~ (all_4_0 = all_4_1)
% 42.03/6.51  |   (112)  op(e0, e0) = all_4_24
% 42.03/6.51  |   (113)  op(e0, e1) = all_4_19
% 42.03/6.51  |   (114)  op(e0, e2) = all_4_14
% 42.03/6.51  |   (115)  op(e0, e3) = all_4_9
% 42.03/6.51  |   (116)  op(e0, e4) = all_4_4
% 42.03/6.51  |   (117)  op(e1, e0) = all_4_23
% 42.03/6.51  |   (118)  op(e1, e1) = all_4_18
% 42.03/6.51  |   (119)  op(e1, e2) = all_4_13
% 42.03/6.51  |   (120)  op(e1, e3) = all_4_8
% 42.03/6.51  |   (121)  op(e1, e4) = all_4_3
% 42.03/6.51  |   (122)  op(e2, e0) = all_4_22
% 42.03/6.51  |   (123)  op(e2, e1) = all_4_17
% 42.03/6.51  |   (124)  op(e2, e2) = all_4_12
% 42.03/6.51  |   (125)  op(e2, e3) = all_4_7
% 42.03/6.51  |   (126)  op(e2, e4) = all_4_2
% 42.03/6.51  |   (127)  op(e3, e0) = all_4_21
% 42.03/6.51  |   (128)  op(e3, e1) = all_4_16
% 42.03/6.51  |   (129)  op(e3, e2) = all_4_11
% 42.03/6.51  |   (130)  op(e3, e3) = all_4_6
% 42.03/6.51  |   (131)  op(e3, e4) = all_4_1
% 42.03/6.51  |   (132)  op(e4, e0) = all_4_20
% 42.03/6.51  |   (133)  op(e4, e1) = all_4_15
% 42.03/6.51  |   (134)  op(e4, e2) = all_4_10
% 42.03/6.51  |   (135)  op(e4, e3) = all_4_5
% 42.03/6.51  |   (136)  op(e4, e4) = all_4_0
% 42.03/6.51  | 
% 42.03/6.51  | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 42.03/6.51  |        all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 42.03/6.51  |        all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 42.03/6.51  |        all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 42.03/6.51  |        all_6_24 gives:
% 42.03/6.51  |   (137)  op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 42.03/6.51  |          op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 42.03/6.51  |          op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 42.03/6.51  |          op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 42.03/6.51  |          & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 42.03/6.51  |          all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 42.03/6.51  |          = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 42.03/6.51  |            e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 42.03/6.51  |          op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 42.03/6.51  |          $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 42.03/6.51  |          $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 42.03/6.51  |          & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 42.03/6.51  |          $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 42.03/6.51  |          $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 42.03/6.51  |          $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 42.03/6.51  |            = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 42.03/6.51  |            | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 42.03/6.51  |            all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 42.03/6.51  |          (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 42.03/6.51  |            = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 42.03/6.52  |            | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 42.03/6.52  |            all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 42.03/6.52  |            all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 42.03/6.52  |            all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 42.03/6.52  |          (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 42.03/6.52  |            = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 42.03/6.52  |            | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 42.03/6.52  |            all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 42.03/6.52  |            all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 42.03/6.52  |            all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 42.03/6.52  |          (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 42.03/6.52  |            all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 42.03/6.52  |            all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 42.03/6.52  |            all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 42.03/6.52  |            all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 42.03/6.52  |          (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 42.03/6.52  |            all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 42.03/6.52  |            all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 42.03/6.52  |            all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 42.03/6.52  |            all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 42.03/6.52  |          (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 42.03/6.52  |            all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 42.03/6.52  |            all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 42.03/6.52  |            all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 42.03/6.52  |            all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 42.03/6.52  | 
% 42.03/6.52  | ALPHA: (137) implies:
% 42.03/6.52  |   (138)  op(e0, e0) = all_6_24
% 42.03/6.52  |   (139)  op(e0, e1) = all_6_23
% 42.03/6.52  |   (140)  op(e0, e2) = all_6_22
% 42.03/6.52  |   (141)  op(e0, e3) = all_6_21
% 42.03/6.52  |   (142)  op(e0, e4) = all_6_20
% 42.03/6.52  |   (143)  op(e1, e1) = all_6_18
% 42.03/6.52  |   (144)  op(e1, e2) = all_6_17
% 42.03/6.52  |   (145)  op(e1, e3) = all_6_16
% 42.03/6.52  |   (146)  op(e1, e4) = all_6_15
% 42.03/6.52  |   (147)  op(e2, e0) = all_6_14
% 42.03/6.52  |   (148)  op(e2, e1) = all_6_13
% 42.03/6.52  |   (149)  op(e2, e2) = all_6_12
% 42.03/6.52  |   (150)  op(e2, e3) = all_6_11
% 42.03/6.52  |   (151)  op(e2, e4) = all_6_10
% 42.03/6.52  |   (152)  op(e3, e0) = all_6_9
% 42.03/6.52  |   (153)  op(e3, e1) = all_6_8
% 42.03/6.52  |   (154)  op(e3, e2) = all_6_7
% 42.03/6.52  |   (155)  op(e3, e3) = all_6_6
% 42.03/6.52  |   (156)  op(e3, e4) = all_6_5
% 42.03/6.52  |   (157)  op(e4, e0) = all_6_4
% 42.03/6.52  |   (158)  op(e4, e1) = all_6_3
% 42.03/6.52  |   (159)  op(e4, e2) = all_6_2
% 42.03/6.52  |   (160)  op(e4, e3) = all_6_1
% 42.03/6.52  |   (161)  op(e4, e4) = all_6_0
% 42.03/6.52  |   (162)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 |
% 42.03/6.52  |          all_6_24 = e0
% 42.03/6.52  |   (163)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 42.03/6.52  |          all_6_23 = e0
% 42.03/6.52  |   (164)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 |
% 42.03/6.52  |          all_6_22 = e0
% 42.03/6.52  |   (165)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 42.03/6.52  |          all_6_21 = e0
% 42.03/6.52  |   (166)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 42.03/6.52  |          all_6_20 = e0
% 42.03/6.52  |   (167)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 42.03/6.52  |          all_6_17 = e0
% 42.03/6.52  |   (168)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 42.03/6.52  |          all_6_16 = e0
% 42.03/6.52  |   (169)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 42.03/6.52  |          all_6_15 = e0
% 42.03/6.52  |   (170)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 |
% 42.03/6.52  |          all_6_14 = e0
% 42.03/6.52  |   (171)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 42.03/6.52  |          all_6_13 = e0
% 42.03/6.52  |   (172)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 |
% 42.03/6.52  |          all_6_12 = e0
% 42.03/6.52  |   (173)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 42.03/6.52  |          all_6_11 = e0
% 42.03/6.52  |   (174)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (175)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (176)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (177)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (178)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (179)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (180)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (181)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 42.03/6.52  |          e0
% 42.03/6.52  |   (182)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 =
% 42.03/6.52  |          e0
% 42.03/6.52  | 
% 42.03/6.52  | DELTA: instantiating (13) with fresh symbols all_8_0, all_8_1, all_8_2,
% 42.03/6.52  |        all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 42.03/6.52  |        all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 42.03/6.52  |        all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 42.03/6.52  |        all_8_24, all_8_25, all_8_26, all_8_27, all_8_28, all_8_29, all_8_30,
% 42.03/6.52  |        all_8_31, all_8_32, all_8_33, all_8_34, all_8_35, all_8_36, all_8_37,
% 42.03/6.52  |        all_8_38, all_8_39, all_8_40, all_8_41, all_8_42, all_8_43, all_8_44,
% 42.03/6.52  |        all_8_45, all_8_46, all_8_47, all_8_48, all_8_49, all_8_50, all_8_51,
% 42.03/6.52  |        all_8_52, all_8_53, all_8_54, all_8_55, all_8_56, all_8_57, all_8_58,
% 42.03/6.52  |        all_8_59, all_8_60, all_8_61, all_8_62, all_8_63, all_8_64, all_8_65,
% 42.03/6.52  |        all_8_66, all_8_67, all_8_68, all_8_69 gives:
% 42.23/6.53  |   (183)  op(e4, all_8_45) = all_8_10 & op(e4, all_8_46) = all_8_19 & op(e4,
% 42.23/6.53  |            all_8_47) = all_8_28 & op(e4, all_8_48) = all_8_37 & op(e4,
% 42.23/6.53  |            all_8_49) = all_8_0 & op(e4, all_8_50) = all_8_1 & op(e4, all_8_55)
% 42.23/6.53  |          = all_8_3 & op(e4, all_8_60) = all_8_5 & op(e4, all_8_65) = all_8_7 &
% 42.23/6.53  |          op(e4, e4) = all_8_49 & op(e4, e3) = all_8_45 & op(e4, e2) = all_8_46
% 42.23/6.53  |          & op(e4, e1) = all_8_47 & op(e4, e0) = all_8_48 & op(e3, all_8_45) =
% 42.23/6.53  |          all_8_9 & op(e3, all_8_50) = all_8_2 & op(e3, all_8_51) = all_8_21 &
% 42.23/6.53  |          op(e3, all_8_52) = all_8_30 & op(e3, all_8_53) = all_8_39 & op(e3,
% 42.23/6.53  |            all_8_54) = all_8_11 & op(e3, all_8_56) = all_8_12 & op(e3,
% 42.23/6.53  |            all_8_61) = all_8_14 & op(e3, all_8_66) = all_8_16 & op(e3, e4) =
% 42.23/6.53  |          all_8_50 & op(e3, e3) = all_8_54 & op(e3, e2) = all_8_51 & op(e3, e1)
% 42.23/6.53  |          = all_8_52 & op(e3, e0) = all_8_53 & op(e2, all_8_46) = all_8_18 &
% 42.23/6.53  |          op(e2, all_8_51) = all_8_20 & op(e2, all_8_55) = all_8_4 & op(e2,
% 42.23/6.53  |            all_8_56) = all_8_13 & op(e2, all_8_57) = all_8_32 & op(e2,
% 42.23/6.53  |            all_8_58) = all_8_41 & op(e2, all_8_59) = all_8_22 & op(e2,
% 42.23/6.53  |            all_8_62) = all_8_23 & op(e2, all_8_67) = all_8_25 & op(e2, e4) =
% 42.23/6.53  |          all_8_55 & op(e2, e3) = all_8_56 & op(e2, e2) = all_8_59 & op(e2, e1)
% 42.23/6.53  |          = all_8_57 & op(e2, e0) = all_8_58 & op(e1, all_8_47) = all_8_27 &
% 42.23/6.53  |          op(e1, all_8_52) = all_8_29 & op(e1, all_8_57) = all_8_31 & op(e1,
% 42.23/6.53  |            all_8_60) = all_8_6 & op(e1, all_8_61) = all_8_15 & op(e1,
% 42.23/6.53  |            all_8_62) = all_8_24 & op(e1, all_8_63) = all_8_43 & op(e1,
% 42.23/6.53  |            all_8_64) = all_8_33 & op(e1, all_8_68) = all_8_34 & op(e1, e4) =
% 42.23/6.53  |          all_8_60 & op(e1, e3) = all_8_61 & op(e1, e2) = all_8_62 & op(e1, e1)
% 42.23/6.53  |          = all_8_64 & op(e1, e0) = all_8_63 & op(e0, all_8_48) = all_8_36 &
% 42.23/6.53  |          op(e0, all_8_53) = all_8_38 & op(e0, all_8_58) = all_8_40 & op(e0,
% 42.23/6.53  |            all_8_63) = all_8_42 & op(e0, all_8_65) = all_8_8 & op(e0,
% 42.23/6.53  |            all_8_66) = all_8_17 & op(e0, all_8_67) = all_8_26 & op(e0,
% 42.23/6.53  |            all_8_68) = all_8_35 & op(e0, all_8_69) = all_8_44 & op(e0, e4) =
% 42.23/6.53  |          all_8_65 & op(e0, e3) = all_8_66 & op(e0, e2) = all_8_67 & op(e0, e1)
% 42.23/6.53  |          = all_8_68 & op(e0, e0) = all_8_69 & $i(all_8_0) & $i(all_8_1) &
% 42.23/6.53  |          $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6) &
% 42.23/6.53  |          $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) & $i(all_8_11)
% 42.23/6.53  |          & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) & $i(all_8_15) &
% 42.23/6.53  |          $i(all_8_16) & $i(all_8_17) & $i(all_8_18) & $i(all_8_19) &
% 42.23/6.53  |          $i(all_8_20) & $i(all_8_21) & $i(all_8_22) & $i(all_8_23) &
% 42.23/6.53  |          $i(all_8_24) & $i(all_8_25) & $i(all_8_26) & $i(all_8_27) &
% 42.23/6.53  |          $i(all_8_28) & $i(all_8_29) & $i(all_8_30) & $i(all_8_31) &
% 42.23/6.53  |          $i(all_8_32) & $i(all_8_33) & $i(all_8_34) & $i(all_8_35) &
% 42.23/6.53  |          $i(all_8_36) & $i(all_8_37) & $i(all_8_38) & $i(all_8_39) &
% 42.23/6.53  |          $i(all_8_40) & $i(all_8_41) & $i(all_8_42) & $i(all_8_43) &
% 42.23/6.53  |          $i(all_8_44) & $i(all_8_45) & $i(all_8_46) & $i(all_8_47) &
% 42.23/6.53  |          $i(all_8_48) & $i(all_8_49) & $i(all_8_50) & $i(all_8_51) &
% 42.23/6.53  |          $i(all_8_52) & $i(all_8_53) & $i(all_8_54) & $i(all_8_55) &
% 42.23/6.53  |          $i(all_8_56) & $i(all_8_57) & $i(all_8_58) & $i(all_8_59) &
% 42.23/6.53  |          $i(all_8_60) & $i(all_8_61) & $i(all_8_62) & $i(all_8_63) &
% 42.23/6.53  |          $i(all_8_64) & $i(all_8_65) & $i(all_8_66) & $i(all_8_67) &
% 42.23/6.53  |          $i(all_8_68) & $i(all_8_69) & ( ~ (all_8_49 = e3) | all_8_45 = e4) &
% 42.23/6.53  |          ( ~ (all_8_49 = e2) | all_8_46 = e4) & ( ~ (all_8_49 = e1) | all_8_47
% 42.23/6.53  |            = e4) & ( ~ (all_8_49 = e0) | all_8_48 = e4) & ( ~ (all_8_54 = e4)
% 42.23/6.53  |            | all_8_50 = e3) & ( ~ (all_8_54 = e2) | all_8_51 = e3) & ( ~
% 42.23/6.53  |            (all_8_54 = e1) | all_8_52 = e3) & ( ~ (all_8_54 = e0) | all_8_53 =
% 42.23/6.53  |            e3) & ( ~ (all_8_59 = e4) | all_8_55 = e2) & ( ~ (all_8_59 = e3) |
% 42.23/6.53  |            all_8_56 = e2) & ( ~ (all_8_59 = e1) | all_8_57 = e2) & ( ~
% 42.23/6.53  |            (all_8_59 = e0) | all_8_58 = e2) & ( ~ (all_8_64 = e4) | all_8_60 =
% 42.23/6.53  |            e1) & ( ~ (all_8_64 = e3) | all_8_61 = e1) & ( ~ (all_8_64 = e2) |
% 42.23/6.53  |            all_8_62 = e1) & ( ~ (all_8_64 = e0) | all_8_63 = e1) & ( ~
% 42.23/6.53  |            (all_8_69 = e4) | all_8_65 = e0) & ( ~ (all_8_69 = e3) | all_8_66 =
% 42.23/6.53  |            e0) & ( ~ (all_8_69 = e2) | all_8_67 = e0) & ( ~ (all_8_69 = e1) |
% 42.23/6.53  |            all_8_68 = e0) & ((all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_3 =
% 42.23/6.53  |              e2 &  ~ (all_8_4 = e4)) | (all_8_5 = e1 &  ~ (all_8_6 = e4)) |
% 42.23/6.53  |            (all_8_7 = e0 &  ~ (all_8_8 = e4))) & ((all_8_9 = e4 &  ~ (all_8_10
% 42.23/6.53  |                = e3)) | (all_8_12 = e2 &  ~ (all_8_13 = e3)) | (all_8_14 = e1
% 42.23/6.53  |              &  ~ (all_8_15 = e3)) | (all_8_16 = e0 &  ~ (all_8_17 = e3))) &
% 42.23/6.53  |          ((all_8_18 = e4 &  ~ (all_8_19 = e2)) | (all_8_20 = e3 &  ~ (all_8_21
% 42.23/6.53  |                = e2)) | (all_8_23 = e1 &  ~ (all_8_24 = e2)) | (all_8_25 = e0
% 42.23/6.53  |              &  ~ (all_8_26 = e2))) & ((all_8_27 = e4 &  ~ (all_8_28 = e1)) |
% 42.23/6.53  |            (all_8_29 = e3 &  ~ (all_8_30 = e1)) | (all_8_31 = e2 &  ~
% 42.23/6.53  |              (all_8_32 = e1)) | (all_8_34 = e0 &  ~ (all_8_35 = e1))) &
% 42.23/6.53  |          ((all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39
% 42.23/6.53  |                = e0)) | (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1
% 42.23/6.53  |              &  ~ (all_8_43 = e0)))
% 42.23/6.53  | 
% 42.23/6.53  | ALPHA: (183) implies:
% 42.23/6.53  |   (184)  op(e0, e0) = all_8_69
% 42.23/6.53  |   (185)  op(e0, e1) = all_8_68
% 42.23/6.53  |   (186)  op(e0, e2) = all_8_67
% 42.23/6.53  |   (187)  op(e0, e3) = all_8_66
% 42.23/6.53  |   (188)  op(e0, e4) = all_8_65
% 42.23/6.53  |   (189)  op(e0, all_8_68) = all_8_35
% 42.23/6.53  |   (190)  op(e0, all_8_67) = all_8_26
% 42.23/6.53  |   (191)  op(e0, all_8_66) = all_8_17
% 42.23/6.53  |   (192)  op(e0, all_8_65) = all_8_8
% 42.23/6.53  |   (193)  op(e0, all_8_63) = all_8_42
% 42.23/6.53  |   (194)  op(e0, all_8_58) = all_8_40
% 42.23/6.53  |   (195)  op(e0, all_8_53) = all_8_38
% 42.23/6.53  |   (196)  op(e0, all_8_48) = all_8_36
% 42.23/6.53  |   (197)  op(e1, e0) = all_8_63
% 42.23/6.53  |   (198)  op(e1, e1) = all_8_64
% 42.23/6.53  |   (199)  op(e1, e2) = all_8_62
% 42.23/6.53  |   (200)  op(e1, e3) = all_8_61
% 42.23/6.53  |   (201)  op(e1, e4) = all_8_60
% 42.23/6.53  |   (202)  op(e1, all_8_68) = all_8_34
% 42.23/6.53  |   (203)  op(e1, all_8_63) = all_8_43
% 42.23/6.53  |   (204)  op(e1, all_8_60) = all_8_6
% 42.23/6.53  |   (205)  op(e1, all_8_57) = all_8_31
% 42.23/6.53  |   (206)  op(e2, e0) = all_8_58
% 42.23/6.53  |   (207)  op(e2, e1) = all_8_57
% 42.23/6.53  |   (208)  op(e2, e2) = all_8_59
% 42.23/6.53  |   (209)  op(e2, e3) = all_8_56
% 42.23/6.53  |   (210)  op(e2, e4) = all_8_55
% 42.23/6.53  |   (211)  op(e2, all_8_67) = all_8_25
% 42.23/6.53  |   (212)  op(e2, all_8_58) = all_8_41
% 42.23/6.53  |   (213)  op(e2, all_8_56) = all_8_13
% 42.23/6.53  |   (214)  op(e2, all_8_51) = all_8_20
% 42.23/6.53  |   (215)  op(e3, e0) = all_8_53
% 42.23/6.53  |   (216)  op(e3, e1) = all_8_52
% 42.23/6.53  |   (217)  op(e3, e2) = all_8_51
% 42.23/6.53  |   (218)  op(e3, e3) = all_8_54
% 42.23/6.53  |   (219)  op(e3, e4) = all_8_50
% 42.23/6.53  |   (220)  op(e3, all_8_66) = all_8_16
% 42.23/6.53  |   (221)  op(e3, all_8_61) = all_8_14
% 42.23/6.54  |   (222)  op(e3, all_8_56) = all_8_12
% 42.23/6.54  |   (223)  op(e3, all_8_53) = all_8_39
% 42.23/6.54  |   (224)  op(e3, all_8_52) = all_8_30
% 42.23/6.54  |   (225)  op(e3, all_8_50) = all_8_2
% 42.23/6.54  |   (226)  op(e3, all_8_45) = all_8_9
% 42.23/6.54  |   (227)  op(e4, e0) = all_8_48
% 42.23/6.54  |   (228)  op(e4, e1) = all_8_47
% 42.23/6.54  |   (229)  op(e4, e2) = all_8_46
% 42.23/6.54  |   (230)  op(e4, e3) = all_8_45
% 42.23/6.54  |   (231)  op(e4, e4) = all_8_49
% 42.23/6.54  |   (232)  op(e4, all_8_65) = all_8_7
% 42.23/6.54  |   (233)  op(e4, all_8_60) = all_8_5
% 42.23/6.54  |   (234)  op(e4, all_8_55) = all_8_3
% 42.23/6.54  |   (235)  op(e4, all_8_50) = all_8_1
% 42.23/6.54  |   (236)  op(e4, all_8_48) = all_8_37
% 42.23/6.54  |   (237)  op(e4, all_8_47) = all_8_28
% 42.23/6.54  |   (238)  op(e4, all_8_46) = all_8_19
% 42.23/6.54  |   (239)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39
% 42.23/6.54  |              = e0)) | (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1 & 
% 42.23/6.54  |            ~ (all_8_43 = e0))
% 42.23/6.54  |   (240)  (all_8_27 = e4 &  ~ (all_8_28 = e1)) | (all_8_29 = e3 &  ~ (all_8_30
% 42.23/6.54  |              = e1)) | (all_8_31 = e2 &  ~ (all_8_32 = e1)) | (all_8_34 = e0 & 
% 42.23/6.54  |            ~ (all_8_35 = e1))
% 42.23/6.54  |   (241)  (all_8_9 = e4 &  ~ (all_8_10 = e3)) | (all_8_12 = e2 &  ~ (all_8_13 =
% 42.23/6.54  |              e3)) | (all_8_14 = e1 &  ~ (all_8_15 = e3)) | (all_8_16 = e0 &  ~
% 42.23/6.54  |            (all_8_17 = e3))
% 42.23/6.54  |   (242)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_3 = e2 &  ~ (all_8_4 =
% 42.23/6.54  |              e4)) | (all_8_5 = e1 &  ~ (all_8_6 = e4)) | (all_8_7 = e0 &  ~
% 42.23/6.54  |            (all_8_8 = e4))
% 42.23/6.54  |   (243)   ~ (all_8_69 = e2) | all_8_67 = e0
% 42.23/6.54  |   (244)   ~ (all_8_69 = e3) | all_8_66 = e0
% 42.23/6.54  |   (245)   ~ (all_8_69 = e4) | all_8_65 = e0
% 42.23/6.54  |   (246)   ~ (all_8_64 = e0) | all_8_63 = e1
% 42.23/6.54  |   (247)   ~ (all_8_59 = e0) | all_8_58 = e2
% 42.23/6.54  |   (248)   ~ (all_8_59 = e4) | all_8_55 = e2
% 42.23/6.54  |   (249)   ~ (all_8_54 = e0) | all_8_53 = e3
% 42.23/6.54  |   (250)   ~ (all_8_54 = e1) | all_8_52 = e3
% 42.23/6.54  |   (251)   ~ (all_8_54 = e2) | all_8_51 = e3
% 42.23/6.54  |   (252)   ~ (all_8_54 = e4) | all_8_50 = e3
% 42.23/6.54  |   (253)   ~ (all_8_49 = e0) | all_8_48 = e4
% 42.23/6.54  |   (254)   ~ (all_8_49 = e2) | all_8_46 = e4
% 42.23/6.54  | 
% 42.23/6.54  | DELTA: instantiating (2) with fresh symbols all_10_0, all_10_1, all_10_2,
% 42.23/6.54  |        all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 42.23/6.54  |        all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 42.23/6.54  |        all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 42.23/6.54  |        all_10_22, all_10_23, all_10_24 gives:
% 42.31/6.55  |   (255)  op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_4
% 42.31/6.55  |          & op(e4, e1) = all_10_9 & op(e4, e0) = all_10_16 & op(e3, e4) =
% 42.31/6.55  |          all_10_2 & op(e3, e3) = all_10_3 & op(e3, e2) = all_10_5 & op(e3, e1)
% 42.31/6.55  |          = all_10_10 & op(e3, e0) = all_10_17 & op(e2, e4) = all_10_6 & op(e2,
% 42.31/6.55  |            e3) = all_10_7 & op(e2, e2) = all_10_8 & op(e2, e1) = all_10_11 &
% 42.31/6.55  |          op(e2, e0) = all_10_18 & op(e1, e4) = all_10_12 & op(e1, e3) =
% 42.31/6.55  |          all_10_13 & op(e1, e2) = all_10_14 & op(e1, e1) = all_10_15 & op(e1,
% 42.31/6.55  |            e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 &
% 42.31/6.55  |          op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) =
% 42.31/6.55  |          all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3)
% 42.31/6.55  |          & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) &
% 42.31/6.55  |          $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) &
% 42.31/6.55  |          $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) &
% 42.31/6.55  |          $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) &
% 42.31/6.55  |          $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) &
% 42.31/6.55  |          $i(all_10_24) & (all_10_0 = e4 | all_10_1 = e4 | all_10_4 = e4 |
% 42.31/6.55  |            all_10_9 = e4 | all_10_16 = e4) & (all_10_0 = e4 | all_10_2 = e4 |
% 42.31/6.55  |            all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4) & (all_10_0 = e3 |
% 42.31/6.55  |            all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3) &
% 42.31/6.55  |          (all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 |
% 42.31/6.55  |            all_10_20 = e3) & (all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 |
% 42.31/6.55  |            all_10_9 = e2 | all_10_16 = e2) & (all_10_0 = e2 | all_10_2 = e2 |
% 42.31/6.55  |            all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2) & (all_10_0 = e1 |
% 42.31/6.55  |            all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1) &
% 42.31/6.55  |          (all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 42.31/6.55  |            all_10_20 = e1) & (all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 |
% 42.31/6.55  |            all_10_9 = e0 | all_10_16 = e0) & (all_10_0 = e0 | all_10_2 = e0 |
% 42.31/6.55  |            all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0) & (all_10_1 = e4 |
% 42.31/6.55  |            all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4) &
% 42.31/6.55  |          (all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 42.31/6.55  |            all_10_21 = e3) & (all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 |
% 42.31/6.55  |            all_10_13 = e2 | all_10_21 = e2) & (all_10_1 = e1 | all_10_3 = e1 |
% 42.31/6.55  |            all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1) & (all_10_1 = e0 |
% 42.31/6.55  |            all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0) &
% 42.31/6.55  |          (all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 42.31/6.55  |            all_10_17 = e4) & (all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 |
% 42.31/6.55  |            all_10_10 = e3 | all_10_17 = e3) & (all_10_2 = e2 | all_10_3 = e2 |
% 42.31/6.55  |            all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2) & (all_10_2 = e1 |
% 42.31/6.55  |            all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1) &
% 42.31/6.55  |          (all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 42.31/6.55  |            all_10_17 = e0) & (all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 |
% 42.31/6.55  |            all_10_14 = e4 | all_10_22 = e4) & (all_10_4 = e3 | all_10_5 = e3 |
% 42.31/6.55  |            all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3) & (all_10_4 = e2 |
% 42.31/6.55  |            all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2) &
% 42.31/6.55  |          (all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 |
% 42.31/6.55  |            all_10_22 = e1) & (all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 |
% 42.31/6.55  |            all_10_14 = e0 | all_10_22 = e0) & (all_10_6 = e4 | all_10_7 = e4 |
% 42.31/6.55  |            all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4) & (all_10_6 = e3 |
% 42.31/6.55  |            all_10_7 = e3 | all_10_8 = e3 | all_10_11 = e3 | all_10_18 = e3) &
% 42.31/6.55  |          (all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 |
% 42.31/6.55  |            all_10_18 = e2) & (all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 |
% 42.31/6.55  |            all_10_11 = e1 | all_10_18 = e1) & (all_10_6 = e0 | all_10_7 = e0 |
% 42.31/6.55  |            all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0) & (all_10_9 = e4 |
% 42.31/6.55  |            all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4)
% 42.31/6.55  |          & (all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 42.31/6.55  |            all_10_23 = e3) & (all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2
% 42.31/6.55  |            | all_10_15 = e2 | all_10_23 = e2) & (all_10_9 = e1 | all_10_10 =
% 42.31/6.55  |            e1 | all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1) & (all_10_9
% 42.31/6.55  |            = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23
% 42.31/6.55  |            = e0) & (all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 |
% 42.31/6.55  |            all_10_15 = e4 | all_10_19 = e4) & (all_10_12 = e3 | all_10_13 = e3
% 42.31/6.55  |            | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3) & (all_10_12 =
% 42.31/6.55  |            e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | all_10_19 =
% 42.31/6.55  |            e2) & (all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15
% 42.31/6.55  |            = e1 | all_10_19 = e1) & (all_10_12 = e0 | all_10_13 = e0 |
% 42.31/6.55  |            all_10_14 = e0 | all_10_15 = e0 | all_10_19 = e0) & (all_10_16 = e4
% 42.31/6.55  |            | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | all_10_24 =
% 42.31/6.55  |            e4) & (all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19
% 42.31/6.55  |            = e3 | all_10_24 = e3) & (all_10_16 = e2 | all_10_17 = e2 |
% 42.31/6.55  |            all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2) & (all_10_16 = e1
% 42.31/6.55  |            | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | all_10_24 =
% 42.31/6.55  |            e1) & (all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23
% 42.31/6.55  |            = e4 | all_10_24 = e4) & (all_10_20 = e3 | all_10_21 = e3 |
% 42.31/6.55  |            all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3) & (all_10_20 = e2
% 42.31/6.55  |            | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | all_10_24 =
% 42.31/6.55  |            e2) & (all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23
% 42.31/6.55  |            = e1 | all_10_24 = e1) & (all_10_24 = e0 | ((all_10_16 = e0 |
% 42.31/6.55  |                all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0) & (all_10_20
% 42.31/6.55  |                = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0)))
% 42.31/6.55  | 
% 42.31/6.55  | ALPHA: (255) implies:
% 42.31/6.55  |   (256)  op(e0, e0) = all_10_24
% 42.31/6.55  |   (257)  op(e0, e1) = all_10_23
% 42.31/6.55  |   (258)  op(e0, e2) = all_10_22
% 42.31/6.55  |   (259)  op(e0, e3) = all_10_21
% 42.31/6.55  |   (260)  op(e0, e4) = all_10_20
% 42.31/6.55  |   (261)  op(e1, e0) = all_10_19
% 42.31/6.55  |   (262)  op(e1, e1) = all_10_15
% 42.31/6.55  |   (263)  op(e1, e2) = all_10_14
% 42.31/6.55  |   (264)  op(e1, e3) = all_10_13
% 42.31/6.55  |   (265)  op(e1, e4) = all_10_12
% 42.31/6.55  |   (266)  op(e2, e0) = all_10_18
% 42.31/6.55  |   (267)  op(e2, e1) = all_10_11
% 42.31/6.55  |   (268)  op(e2, e2) = all_10_8
% 42.31/6.55  |   (269)  op(e2, e3) = all_10_7
% 42.31/6.55  |   (270)  op(e2, e4) = all_10_6
% 42.31/6.55  |   (271)  op(e3, e0) = all_10_17
% 42.31/6.55  |   (272)  op(e3, e1) = all_10_10
% 42.31/6.55  |   (273)  op(e3, e2) = all_10_5
% 42.31/6.55  |   (274)  op(e3, e3) = all_10_3
% 42.31/6.55  |   (275)  op(e3, e4) = all_10_2
% 42.31/6.55  |   (276)  op(e4, e0) = all_10_16
% 42.31/6.55  |   (277)  op(e4, e1) = all_10_9
% 42.31/6.55  |   (278)  op(e4, e2) = all_10_4
% 42.31/6.55  |   (279)  op(e4, e3) = all_10_1
% 42.31/6.55  |   (280)  op(e4, e4) = all_10_0
% 42.31/6.55  |   (281)  all_10_24 = e0 | ((all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 |
% 42.31/6.55  |              all_10_19 = e0) & (all_10_20 = e0 | all_10_21 = e0 | all_10_22 =
% 42.31/6.55  |              e0 | all_10_23 = e0))
% 42.31/6.55  |   (282)  all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 42.31/6.55  |          all_10_24 = e1
% 42.31/6.55  |   (283)  all_10_20 = e2 | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 42.31/6.55  |          all_10_24 = e2
% 42.31/6.55  |   (284)  all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 42.31/6.55  |          all_10_24 = e3
% 42.31/6.55  |   (285)  all_10_16 = e2 | all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 |
% 42.31/6.55  |          all_10_24 = e2
% 42.31/6.55  |   (286)  all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 42.31/6.55  |          all_10_24 = e3
% 42.31/6.55  |   (287)  all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 42.31/6.55  |          all_10_24 = e4
% 42.31/6.55  |   (288)  all_10_12 = e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 42.31/6.55  |          all_10_19 = e2
% 42.31/6.55  |   (289)  all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 42.31/6.55  |          all_10_19 = e3
% 42.31/6.55  |   (290)  all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 |
% 42.31/6.55  |          all_10_19 = e4
% 42.31/6.55  |   (291)  all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 42.31/6.55  |          all_10_23 = e2
% 42.31/6.55  |   (292)  all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 |
% 42.31/6.55  |          all_10_23 = e3
% 42.31/6.55  |   (293)  all_10_9 = e4 | all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 |
% 42.31/6.55  |          all_10_23 = e4
% 42.31/6.55  |   (294)  all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 42.31/6.55  |          all_10_18 = e0
% 42.31/6.55  |   (295)  all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 42.31/6.55  |          all_10_18 = e1
% 42.31/6.55  |   (296)  all_10_6 = e4 | all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 42.31/6.55  |          all_10_18 = e4
% 42.31/6.55  |   (297)  all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 |
% 42.31/6.55  |          all_10_22 = e0
% 42.31/6.55  |   (298)  all_10_4 = e3 | all_10_5 = e3 | all_10_8 = e3 | all_10_14 = e3 |
% 42.31/6.55  |          all_10_22 = e3
% 42.31/6.55  |   (299)  all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 42.31/6.55  |          all_10_22 = e4
% 42.31/6.55  |   (300)  all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 42.31/6.55  |          all_10_17 = e0
% 42.31/6.55  |   (301)  all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 42.31/6.55  |          all_10_17 = e4
% 42.31/6.55  |   (302)  all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 42.31/6.55  |          all_10_21 = e0
% 42.31/6.55  |   (303)  all_10_1 = e1 | all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 |
% 42.31/6.55  |          all_10_21 = e1
% 42.31/6.55  |   (304)  all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 42.31/6.55  |          all_10_21 = e2
% 42.31/6.55  |   (305)  all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 42.31/6.55  |          all_10_21 = e3
% 42.31/6.55  |   (306)  all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 42.31/6.55  |          all_10_20 = e0
% 42.31/6.56  |   (307)  all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 42.31/6.56  |          all_10_16 = e0
% 42.31/6.56  |   (308)  all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 42.31/6.56  |          all_10_20 = e1
% 42.31/6.56  |   (309)  all_10_0 = e2 | all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 |
% 42.31/6.56  |          all_10_20 = e2
% 42.31/6.56  |   (310)  all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 |
% 42.31/6.56  |          all_10_16 = e2
% 42.31/6.56  |   (311)  all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 42.31/6.56  |          all_10_16 = e3
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_24, all_8_69, e0, e0,
% 42.31/6.56  |              simplifying with (112), (184) gives:
% 42.31/6.56  |   (312)  all_8_69 = all_4_24
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_69, all_10_24, e0, e0,
% 42.31/6.56  |              simplifying with (184), (256) gives:
% 42.31/6.56  |   (313)  all_10_24 = all_8_69
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_24, all_10_24, e0, e0,
% 42.31/6.56  |              simplifying with (138), (256) gives:
% 42.31/6.56  |   (314)  all_10_24 = all_6_24
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_19, all_8_68, e1, e0,
% 42.31/6.56  |              simplifying with (113), (185) gives:
% 42.31/6.56  |   (315)  all_8_68 = all_4_19
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_68, all_10_23, e1, e0,
% 42.31/6.56  |              simplifying with (185), (257) gives:
% 42.31/6.56  |   (316)  all_10_23 = all_8_68
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_23, e1, e0,
% 42.31/6.56  |              simplifying with (139), (257) gives:
% 42.31/6.56  |   (317)  all_10_23 = all_6_23
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_14, all_8_67, e2, e0,
% 42.31/6.56  |              simplifying with (114), (186) gives:
% 42.31/6.56  |   (318)  all_8_67 = all_4_14
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_67, all_10_22, e2, e0,
% 42.31/6.56  |              simplifying with (186), (258) gives:
% 42.31/6.56  |   (319)  all_10_22 = all_8_67
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_22, e2, e0,
% 42.31/6.56  |              simplifying with (140), (258) gives:
% 42.31/6.56  |   (320)  all_10_22 = all_6_22
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_66, e3, e0,
% 42.31/6.56  |              simplifying with (141), (187) gives:
% 42.31/6.56  |   (321)  all_8_66 = all_6_21
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_66, all_10_21, e3, e0,
% 42.31/6.56  |              simplifying with (187), (259) gives:
% 42.31/6.56  |   (322)  all_10_21 = all_8_66
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_21, e3, e0,
% 42.31/6.56  |              simplifying with (115), (259) gives:
% 42.31/6.56  |   (323)  all_10_21 = all_4_9
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_65, all_10_20, e4, e0,
% 42.31/6.56  |              simplifying with (188), (260) gives:
% 42.31/6.56  |   (324)  all_10_20 = all_8_65
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_20, e4, e0,
% 42.31/6.56  |              simplifying with (142), (260) gives:
% 42.31/6.56  |   (325)  all_10_20 = all_6_20
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_20, e4, e0,
% 42.31/6.56  |              simplifying with (116), (260) gives:
% 42.31/6.56  |   (326)  all_10_20 = all_4_4
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_63, all_10_19, e0, e1,
% 42.31/6.56  |              simplifying with (197), (261) gives:
% 42.31/6.56  |   (327)  all_10_19 = all_8_63
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_19, e0, e1,
% 42.31/6.56  |              simplifying with (117), (261) gives:
% 42.31/6.56  |   (328)  all_10_19 = all_4_23
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_18, all_6_18, e1, e1,
% 42.31/6.56  |              simplifying with (118), (143) gives:
% 42.31/6.56  |   (329)  all_6_18 = all_4_18
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_64, all_10_15, e1, e1,
% 42.31/6.56  |              simplifying with (198), (262) gives:
% 42.31/6.56  |   (330)  all_10_15 = all_8_64
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_15, e1, e1,
% 42.31/6.56  |              simplifying with (143), (262) gives:
% 42.31/6.56  |   (331)  all_10_15 = all_6_18
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with e0, all_10_15, e1, e1,
% 42.31/6.56  |              simplifying with (10), (262) gives:
% 42.31/6.56  |   (332)  all_10_15 = e0
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_62, e2, e1,
% 42.31/6.56  |              simplifying with (144), (199) gives:
% 42.31/6.56  |   (333)  all_8_62 = all_6_17
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_62, all_10_14, e2, e1,
% 42.31/6.56  |              simplifying with (199), (263) gives:
% 42.31/6.56  |   (334)  all_10_14 = all_8_62
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_14, e2, e1,
% 42.31/6.56  |              simplifying with (119), (263) gives:
% 42.31/6.56  |   (335)  all_10_14 = all_4_13
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_61, e3, e1,
% 42.31/6.56  |              simplifying with (145), (200) gives:
% 42.31/6.56  |   (336)  all_8_61 = all_6_16
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_61, all_10_13, e3, e1,
% 42.31/6.56  |              simplifying with (200), (264) gives:
% 42.31/6.56  |   (337)  all_10_13 = all_8_61
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_13, e3, e1,
% 42.31/6.56  |              simplifying with (120), (264) gives:
% 42.31/6.56  |   (338)  all_10_13 = all_4_8
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_60, e4, e1,
% 42.31/6.56  |              simplifying with (146), (201) gives:
% 42.31/6.56  |   (339)  all_8_60 = all_6_15
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_60, all_10_12, e4, e1,
% 42.31/6.56  |              simplifying with (201), (265) gives:
% 42.31/6.56  |   (340)  all_10_12 = all_8_60
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_12, e4, e1,
% 42.31/6.56  |              simplifying with (121), (265) gives:
% 42.31/6.56  |   (341)  all_10_12 = all_4_3
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_58, all_10_18, e0, e2,
% 42.31/6.56  |              simplifying with (206), (266) gives:
% 42.31/6.56  |   (342)  all_10_18 = all_8_58
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_18, e0, e2,
% 42.31/6.56  |              simplifying with (147), (266) gives:
% 42.31/6.56  |   (343)  all_10_18 = all_6_14
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_22, all_10_18, e0, e2,
% 42.31/6.56  |              simplifying with (122), (266) gives:
% 42.31/6.56  |   (344)  all_10_18 = all_4_22
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_57, e1, e2,
% 42.31/6.56  |              simplifying with (148), (207) gives:
% 42.31/6.56  |   (345)  all_8_57 = all_6_13
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_57, all_10_11, e1, e2,
% 42.31/6.56  |              simplifying with (207), (267) gives:
% 42.31/6.56  |   (346)  all_10_11 = all_8_57
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_11, e1, e2,
% 42.31/6.56  |              simplifying with (123), (267) gives:
% 42.31/6.56  |   (347)  all_10_11 = all_4_17
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_59, e2, e2,
% 42.31/6.56  |              simplifying with (149), (208) gives:
% 42.31/6.56  |   (348)  all_8_59 = all_6_12
% 42.31/6.56  | 
% 42.31/6.56  | GROUND_INST: instantiating (function-axioms) with all_8_59, all_10_8, e2, e2,
% 42.31/6.56  |              simplifying with (208), (268) gives:
% 42.31/6.57  |   (349)  all_10_8 = all_8_59
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_12, all_10_8, e2, e2,
% 42.31/6.57  |              simplifying with (124), (268) gives:
% 42.31/6.57  |   (350)  all_10_8 = all_4_12
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_11, all_8_56, e3, e2,
% 42.31/6.57  |              simplifying with (150), (209) gives:
% 42.31/6.57  |   (351)  all_8_56 = all_6_11
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_56, all_10_7, e3, e2,
% 42.31/6.57  |              simplifying with (209), (269) gives:
% 42.31/6.57  |   (352)  all_10_7 = all_8_56
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_7, e3, e2,
% 42.31/6.57  |              simplifying with (125), (269) gives:
% 42.31/6.57  |   (353)  all_10_7 = all_4_7
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_2, all_6_10, e4, e2,
% 42.31/6.57  |              simplifying with (126), (151) gives:
% 42.31/6.57  |   (354)  all_6_10 = all_4_2
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_10, all_8_55, e4, e2,
% 42.31/6.57  |              simplifying with (151), (210) gives:
% 42.31/6.57  |   (355)  all_8_55 = all_6_10
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_55, all_10_6, e4, e2,
% 42.31/6.57  |              simplifying with (210), (270) gives:
% 42.31/6.57  |   (356)  all_10_6 = all_8_55
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with e3, all_10_6, e4, e2,
% 42.31/6.57  |              simplifying with (11), (270) gives:
% 42.31/6.57  |   (357)  all_10_6 = e3
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_53, all_10_17, e0, e3,
% 42.31/6.57  |              simplifying with (215), (271) gives:
% 42.31/6.57  |   (358)  all_10_17 = all_8_53
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_9, all_10_17, e0, e3,
% 42.31/6.57  |              simplifying with (152), (271) gives:
% 42.31/6.57  |   (359)  all_10_17 = all_6_9
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_17, e0, e3,
% 42.31/6.57  |              simplifying with (127), (271) gives:
% 42.31/6.57  |   (360)  all_10_17 = all_4_21
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_8, all_8_52, e1, e3,
% 42.31/6.57  |              simplifying with (153), (216) gives:
% 42.31/6.57  |   (361)  all_8_52 = all_6_8
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_52, all_10_10, e1, e3,
% 42.31/6.57  |              simplifying with (216), (272) gives:
% 42.31/6.57  |   (362)  all_10_10 = all_8_52
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_10, e1, e3,
% 42.31/6.57  |              simplifying with (128), (272) gives:
% 42.31/6.57  |   (363)  all_10_10 = all_4_16
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_7, all_8_51, e2, e3,
% 42.31/6.57  |              simplifying with (154), (217) gives:
% 42.31/6.57  |   (364)  all_8_51 = all_6_7
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_51, all_10_5, e2, e3,
% 42.31/6.57  |              simplifying with (217), (273) gives:
% 42.31/6.57  |   (365)  all_10_5 = all_8_51
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_5, e2, e3,
% 42.31/6.57  |              simplifying with (129), (273) gives:
% 42.31/6.57  |   (366)  all_10_5 = all_4_11
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_54, all_10_3, e3, e3,
% 42.31/6.57  |              simplifying with (218), (274) gives:
% 42.31/6.57  |   (367)  all_10_3 = all_8_54
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_3, e3, e3,
% 42.31/6.57  |              simplifying with (155), (274) gives:
% 42.31/6.57  |   (368)  all_10_3 = all_6_6
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_3, e3, e3,
% 42.31/6.57  |              simplifying with (130), (274) gives:
% 42.31/6.57  |   (369)  all_10_3 = all_4_6
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_50, e4, e3,
% 42.31/6.57  |              simplifying with (156), (219) gives:
% 42.31/6.57  |   (370)  all_8_50 = all_6_5
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_50, all_10_2, e4, e3,
% 42.31/6.57  |              simplifying with (219), (275) gives:
% 42.31/6.57  |   (371)  all_10_2 = all_8_50
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_2, e4, e3,
% 42.31/6.57  |              simplifying with (131), (275) gives:
% 42.31/6.57  |   (372)  all_10_2 = all_4_1
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_48, all_10_16, e0, e4,
% 42.31/6.57  |              simplifying with (227), (276) gives:
% 42.31/6.57  |   (373)  all_10_16 = all_8_48
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_4, all_10_16, e0, e4,
% 42.31/6.57  |              simplifying with (157), (276) gives:
% 42.31/6.57  |   (374)  all_10_16 = all_6_4
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_16, e0, e4,
% 42.31/6.57  |              simplifying with (132), (276) gives:
% 42.31/6.57  |   (375)  all_10_16 = all_4_20
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_47, e1, e4,
% 42.31/6.57  |              simplifying with (158), (228) gives:
% 42.31/6.57  |   (376)  all_8_47 = all_6_3
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_47, all_10_9, e1, e4,
% 42.31/6.57  |              simplifying with (228), (277) gives:
% 42.31/6.57  |   (377)  all_10_9 = all_8_47
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_9, e1, e4,
% 42.31/6.57  |              simplifying with (133), (277) gives:
% 42.31/6.57  |   (378)  all_10_9 = all_4_15
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_10, all_6_2, e2, e4,
% 42.31/6.57  |              simplifying with (134), (159) gives:
% 42.31/6.57  |   (379)  all_6_2 = all_4_10
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_2, all_8_46, e2, e4,
% 42.31/6.57  |              simplifying with (159), (229) gives:
% 42.31/6.57  |   (380)  all_8_46 = all_6_2
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_46, all_10_4, e2, e4,
% 42.31/6.57  |              simplifying with (229), (278) gives:
% 42.31/6.57  |   (381)  all_10_4 = all_8_46
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with e1, all_10_4, e2, e4,
% 42.31/6.57  |              simplifying with (12), (278) gives:
% 42.31/6.57  |   (382)  all_10_4 = e1
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_45, e3, e4,
% 42.31/6.57  |              simplifying with (160), (230) gives:
% 42.31/6.57  |   (383)  all_8_45 = all_6_1
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_45, all_10_1, e3, e4,
% 42.31/6.57  |              simplifying with (230), (279) gives:
% 42.31/6.57  |   (384)  all_10_1 = all_8_45
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_1, e3, e4,
% 42.31/6.57  |              simplifying with (135), (279) gives:
% 42.31/6.57  |   (385)  all_10_1 = all_4_5
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_49, e4, e4,
% 42.31/6.57  |              simplifying with (161), (231) gives:
% 42.31/6.57  |   (386)  all_8_49 = all_6_0
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_8_49, all_10_0, e4, e4,
% 42.31/6.57  |              simplifying with (231), (280) gives:
% 42.31/6.57  |   (387)  all_10_0 = all_8_49
% 42.31/6.57  | 
% 42.31/6.57  | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_0, e4, e4,
% 42.31/6.57  |              simplifying with (136), (280) gives:
% 42.31/6.57  |   (388)  all_10_0 = all_4_0
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (387), (388) imply:
% 42.31/6.57  |   (389)  all_8_49 = all_4_0
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (389) implies:
% 42.31/6.57  |   (390)  all_8_49 = all_4_0
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (384), (385) imply:
% 42.31/6.57  |   (391)  all_8_45 = all_4_5
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (391) implies:
% 42.31/6.57  |   (392)  all_8_45 = all_4_5
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (371), (372) imply:
% 42.31/6.57  |   (393)  all_8_50 = all_4_1
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (393) implies:
% 42.31/6.57  |   (394)  all_8_50 = all_4_1
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (367), (369) imply:
% 42.31/6.57  |   (395)  all_8_54 = all_4_6
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (367), (368) imply:
% 42.31/6.57  |   (396)  all_8_54 = all_6_6
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (381), (382) imply:
% 42.31/6.57  |   (397)  all_8_46 = e1
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (397) implies:
% 42.31/6.57  |   (398)  all_8_46 = e1
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (365), (366) imply:
% 42.31/6.57  |   (399)  all_8_51 = all_4_11
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (399) implies:
% 42.31/6.57  |   (400)  all_8_51 = all_4_11
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (356), (357) imply:
% 42.31/6.57  |   (401)  all_8_55 = e3
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (401) implies:
% 42.31/6.57  |   (402)  all_8_55 = e3
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (352), (353) imply:
% 42.31/6.57  |   (403)  all_8_56 = all_4_7
% 42.31/6.57  | 
% 42.31/6.57  | SIMP: (403) implies:
% 42.31/6.57  |   (404)  all_8_56 = all_4_7
% 42.31/6.57  | 
% 42.31/6.57  | COMBINE_EQS: (349), (350) imply:
% 42.31/6.58  |   (405)  all_8_59 = all_4_12
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (405) implies:
% 42.31/6.58  |   (406)  all_8_59 = all_4_12
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (377), (378) imply:
% 42.31/6.58  |   (407)  all_8_47 = all_4_15
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (407) implies:
% 42.31/6.58  |   (408)  all_8_47 = all_4_15
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (362), (363) imply:
% 42.31/6.58  |   (409)  all_8_52 = all_4_16
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (409) implies:
% 42.31/6.58  |   (410)  all_8_52 = all_4_16
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (346), (347) imply:
% 42.31/6.58  |   (411)  all_8_57 = all_4_17
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (411) implies:
% 42.31/6.58  |   (412)  all_8_57 = all_4_17
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (340), (341) imply:
% 42.31/6.58  |   (413)  all_8_60 = all_4_3
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (413) implies:
% 42.31/6.58  |   (414)  all_8_60 = all_4_3
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (337), (338) imply:
% 42.31/6.58  |   (415)  all_8_61 = all_4_8
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (415) implies:
% 42.31/6.58  |   (416)  all_8_61 = all_4_8
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (334), (335) imply:
% 42.31/6.58  |   (417)  all_8_62 = all_4_13
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (417) implies:
% 42.31/6.58  |   (418)  all_8_62 = all_4_13
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (330), (332) imply:
% 42.31/6.58  |   (419)  all_8_64 = e0
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (330), (331) imply:
% 42.31/6.58  |   (420)  all_8_64 = all_6_18
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (373), (375) imply:
% 42.31/6.58  |   (421)  all_8_48 = all_4_20
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (373), (374) imply:
% 42.31/6.58  |   (422)  all_8_48 = all_6_4
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (358), (360) imply:
% 42.31/6.58  |   (423)  all_8_53 = all_4_21
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (358), (359) imply:
% 42.31/6.58  |   (424)  all_8_53 = all_6_9
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (342), (344) imply:
% 42.31/6.58  |   (425)  all_8_58 = all_4_22
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (342), (343) imply:
% 42.31/6.58  |   (426)  all_8_58 = all_6_14
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (327), (328) imply:
% 42.31/6.58  |   (427)  all_8_63 = all_4_23
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (427) implies:
% 42.31/6.58  |   (428)  all_8_63 = all_4_23
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (324), (326) imply:
% 42.31/6.58  |   (429)  all_8_65 = all_4_4
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (324), (325) imply:
% 42.31/6.58  |   (430)  all_8_65 = all_6_20
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (322), (323) imply:
% 42.31/6.58  |   (431)  all_8_66 = all_4_9
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (431) implies:
% 42.31/6.58  |   (432)  all_8_66 = all_4_9
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (319), (320) imply:
% 42.31/6.58  |   (433)  all_8_67 = all_6_22
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (433) implies:
% 42.31/6.58  |   (434)  all_8_67 = all_6_22
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (316), (317) imply:
% 42.31/6.58  |   (435)  all_8_68 = all_6_23
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (435) implies:
% 42.31/6.58  |   (436)  all_8_68 = all_6_23
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (313), (314) imply:
% 42.31/6.58  |   (437)  all_8_69 = all_6_24
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (437) implies:
% 42.31/6.58  |   (438)  all_8_69 = all_6_24
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (383), (392) imply:
% 42.31/6.58  |   (439)  all_6_1 = all_4_5
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (439) implies:
% 42.31/6.58  |   (440)  all_6_1 = all_4_5
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (380), (398) imply:
% 42.31/6.58  |   (441)  all_6_2 = e1
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (441) implies:
% 42.31/6.58  |   (442)  all_6_2 = e1
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (376), (408) imply:
% 42.31/6.58  |   (443)  all_6_3 = all_4_15
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (443) implies:
% 42.31/6.58  |   (444)  all_6_3 = all_4_15
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (421), (422) imply:
% 42.31/6.58  |   (445)  all_6_4 = all_4_20
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (445) implies:
% 42.31/6.58  |   (446)  all_6_4 = all_4_20
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (386), (390) imply:
% 42.31/6.58  |   (447)  all_6_0 = all_4_0
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (447) implies:
% 42.31/6.58  |   (448)  all_6_0 = all_4_0
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (370), (394) imply:
% 42.31/6.58  |   (449)  all_6_5 = all_4_1
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (364), (400) imply:
% 42.31/6.58  |   (450)  all_6_7 = all_4_11
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (450) implies:
% 42.31/6.58  |   (451)  all_6_7 = all_4_11
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (361), (410) imply:
% 42.31/6.58  |   (452)  all_6_8 = all_4_16
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (423), (424) imply:
% 42.31/6.58  |   (453)  all_6_9 = all_4_21
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (453) implies:
% 42.31/6.58  |   (454)  all_6_9 = all_4_21
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (395), (396) imply:
% 42.31/6.58  |   (455)  all_6_6 = all_4_6
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (355), (402) imply:
% 42.31/6.58  |   (456)  all_6_10 = e3
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (456) implies:
% 42.31/6.58  |   (457)  all_6_10 = e3
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (351), (404) imply:
% 42.31/6.58  |   (458)  all_6_11 = all_4_7
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (345), (412) imply:
% 42.31/6.58  |   (459)  all_6_13 = all_4_17
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (459) implies:
% 42.31/6.58  |   (460)  all_6_13 = all_4_17
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (425), (426) imply:
% 42.31/6.58  |   (461)  all_6_14 = all_4_22
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (348), (406) imply:
% 42.31/6.58  |   (462)  all_6_12 = all_4_12
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (339), (414) imply:
% 42.31/6.58  |   (463)  all_6_15 = all_4_3
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (336), (416) imply:
% 42.31/6.58  |   (464)  all_6_16 = all_4_8
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (464) implies:
% 42.31/6.58  |   (465)  all_6_16 = all_4_8
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (333), (418) imply:
% 42.31/6.58  |   (466)  all_6_17 = all_4_13
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (466) implies:
% 42.31/6.58  |   (467)  all_6_17 = all_4_13
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (419), (420) imply:
% 42.31/6.58  |   (468)  all_6_18 = e0
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (468) implies:
% 42.31/6.58  |   (469)  all_6_18 = e0
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (429), (430) imply:
% 42.31/6.58  |   (470)  all_6_20 = all_4_4
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (470) implies:
% 42.31/6.58  |   (471)  all_6_20 = all_4_4
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (321), (432) imply:
% 42.31/6.58  |   (472)  all_6_21 = all_4_9
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (318), (434) imply:
% 42.31/6.58  |   (473)  all_6_22 = all_4_14
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (315), (436) imply:
% 42.31/6.58  |   (474)  all_6_23 = all_4_19
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (474) implies:
% 42.31/6.58  |   (475)  all_6_23 = all_4_19
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (312), (438) imply:
% 42.31/6.58  |   (476)  all_6_24 = all_4_24
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (379), (442) imply:
% 42.31/6.58  |   (477)  all_4_10 = e1
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (477) implies:
% 42.31/6.58  |   (478)  all_4_10 = e1
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (354), (457) imply:
% 42.31/6.58  |   (479)  all_4_2 = e3
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (479) implies:
% 42.31/6.58  |   (480)  all_4_2 = e3
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (329), (469) imply:
% 42.31/6.58  |   (481)  all_4_18 = e0
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (481) implies:
% 42.31/6.58  |   (482)  all_4_18 = e0
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (314), (476) imply:
% 42.31/6.58  |   (483)  all_10_24 = all_4_24
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (317), (475) imply:
% 42.31/6.58  |   (484)  all_10_23 = all_4_19
% 42.31/6.58  | 
% 42.31/6.58  | COMBINE_EQS: (320), (473) imply:
% 42.31/6.58  |   (485)  all_10_22 = all_4_14
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (110), (480) imply:
% 42.31/6.58  |   (486)   ~ (all_4_0 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (106), (478) imply:
% 42.31/6.58  |   (487)   ~ (all_4_0 = e1)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (103), (480) imply:
% 42.31/6.58  |   (488)   ~ (all_4_1 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (96), (480) imply:
% 42.31/6.58  |   (489)   ~ (all_4_3 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (489) implies:
% 42.31/6.58  |   (490)   ~ (all_4_3 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (95), (480) imply:
% 42.31/6.58  |   (491)   ~ (all_4_4 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (491) implies:
% 42.31/6.58  |   (492)   ~ (all_4_4 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (94), (480) imply:
% 42.31/6.58  |   (493)   ~ (all_4_7 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (493) implies:
% 42.31/6.58  |   (494)   ~ (all_4_7 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (93), (480) imply:
% 42.31/6.58  |   (495)   ~ (all_4_12 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (495) implies:
% 42.31/6.58  |   (496)   ~ (all_4_12 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (92), (480) imply:
% 42.31/6.58  |   (497)   ~ (all_4_17 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (497) implies:
% 42.31/6.58  |   (498)   ~ (all_4_17 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (91), (480) imply:
% 42.31/6.58  |   (499)   ~ (all_4_22 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | SIMP: (499) implies:
% 42.31/6.58  |   (500)   ~ (all_4_22 = e3)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (87), (482) imply:
% 42.31/6.58  |   (501)   ~ (all_4_3 = e0)
% 42.31/6.58  | 
% 42.31/6.58  | REDUCE: (77), (478) imply:
% 42.31/6.59  |   (502)   ~ (all_4_5 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (61), (482) imply:
% 42.31/6.59  |   (503)   ~ (all_4_8 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (56), (478) imply:
% 42.31/6.59  |   (504)   ~ (all_4_11 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | SIMP: (504) implies:
% 42.31/6.59  |   (505)   ~ (all_4_11 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (55), (478) imply:
% 42.31/6.59  |   (506)   ~ (all_4_12 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | SIMP: (506) implies:
% 42.31/6.59  |   (507)   ~ (all_4_12 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (54), (478) imply:
% 42.31/6.59  |   (508)   ~ (all_4_14 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | SIMP: (508) implies:
% 42.31/6.59  |   (509)   ~ (all_4_14 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (53), (478) imply:
% 42.31/6.59  |   (510)   ~ (all_4_15 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | SIMP: (510) implies:
% 42.31/6.59  |   (511)   ~ (all_4_15 = e1)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (42), (482) imply:
% 42.31/6.59  |   (512)   ~ (all_4_13 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (36), (482) imply:
% 42.31/6.59  |   (513)   ~ (all_4_15 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (32), (482) imply:
% 42.31/6.59  |   (514)   ~ (all_4_16 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (29), (482) imply:
% 42.31/6.59  |   (515)   ~ (all_4_17 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (26), (482) imply:
% 42.31/6.59  |   (516)   ~ (all_4_23 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | SIMP: (516) implies:
% 42.31/6.59  |   (517)   ~ (all_4_23 = e0)
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (238), (398) imply:
% 42.31/6.59  |   (518)  op(e4, e1) = all_8_19
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (237), (408) imply:
% 42.31/6.59  |   (519)  op(e4, all_4_15) = all_8_28
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (236), (421) imply:
% 42.31/6.59  |   (520)  op(e4, all_4_20) = all_8_37
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (235), (394) imply:
% 42.31/6.59  |   (521)  op(e4, all_4_1) = all_8_1
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (234), (402) imply:
% 42.31/6.59  |   (522)  op(e4, e3) = all_8_3
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (233), (414) imply:
% 42.31/6.59  |   (523)  op(e4, all_4_3) = all_8_5
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (232), (429) imply:
% 42.31/6.59  |   (524)  op(e4, all_4_4) = all_8_7
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (226), (392) imply:
% 42.31/6.59  |   (525)  op(e3, all_4_5) = all_8_9
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (225), (394) imply:
% 42.31/6.59  |   (526)  op(e3, all_4_1) = all_8_2
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (224), (410) imply:
% 42.31/6.59  |   (527)  op(e3, all_4_16) = all_8_30
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (223), (423) imply:
% 42.31/6.59  |   (528)  op(e3, all_4_21) = all_8_39
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (222), (404) imply:
% 42.31/6.59  |   (529)  op(e3, all_4_7) = all_8_12
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (221), (416) imply:
% 42.31/6.59  |   (530)  op(e3, all_4_8) = all_8_14
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (220), (432) imply:
% 42.31/6.59  |   (531)  op(e3, all_4_9) = all_8_16
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (214), (400) imply:
% 42.31/6.59  |   (532)  op(e2, all_4_11) = all_8_20
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (213), (404) imply:
% 42.31/6.59  |   (533)  op(e2, all_4_7) = all_8_13
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (212), (425) imply:
% 42.31/6.59  |   (534)  op(e2, all_4_22) = all_8_41
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (211), (318) imply:
% 42.31/6.59  |   (535)  op(e2, all_4_14) = all_8_25
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (205), (412) imply:
% 42.31/6.59  |   (536)  op(e1, all_4_17) = all_8_31
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (204), (414) imply:
% 42.31/6.59  |   (537)  op(e1, all_4_3) = all_8_6
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (203), (428) imply:
% 42.31/6.59  |   (538)  op(e1, all_4_23) = all_8_43
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (202), (315) imply:
% 42.31/6.59  |   (539)  op(e1, all_4_19) = all_8_34
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (196), (421) imply:
% 42.31/6.59  |   (540)  op(e0, all_4_20) = all_8_36
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (195), (423) imply:
% 42.31/6.59  |   (541)  op(e0, all_4_21) = all_8_38
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (194), (425) imply:
% 42.31/6.59  |   (542)  op(e0, all_4_22) = all_8_40
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (193), (428) imply:
% 42.31/6.59  |   (543)  op(e0, all_4_23) = all_8_42
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (192), (429) imply:
% 42.31/6.59  |   (544)  op(e0, all_4_4) = all_8_8
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (191), (432) imply:
% 42.31/6.59  |   (545)  op(e0, all_4_9) = all_8_17
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (190), (318) imply:
% 42.31/6.59  |   (546)  op(e0, all_4_14) = all_8_26
% 42.31/6.59  | 
% 42.31/6.59  | REDUCE: (189), (315) imply:
% 42.31/6.59  |   (547)  op(e0, all_4_19) = all_8_35
% 42.31/6.59  | 
% 42.31/6.59  | BETA: splitting (246) gives:
% 42.31/6.59  | 
% 42.31/6.59  | Case 1:
% 42.31/6.59  | | 
% 42.31/6.59  | |   (548)   ~ (all_8_64 = e0)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (419), (548) imply:
% 42.31/6.59  | |   (549)  $false
% 42.31/6.59  | | 
% 42.31/6.59  | | CLOSE: (549) is inconsistent.
% 42.31/6.59  | | 
% 42.31/6.59  | Case 2:
% 42.31/6.59  | | 
% 42.31/6.59  | |   (550)  all_8_63 = e1
% 42.31/6.59  | | 
% 42.31/6.59  | | COMBINE_EQS: (428), (550) imply:
% 42.31/6.59  | |   (551)  all_4_23 = e1
% 42.31/6.59  | | 
% 42.31/6.59  | | SIMP: (551) implies:
% 42.31/6.59  | |   (552)  all_4_23 = e1
% 42.31/6.59  | | 
% 42.31/6.59  | | COMBINE_EQS: (328), (552) imply:
% 42.31/6.59  | |   (553)  all_10_19 = e1
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (86), (552) imply:
% 42.31/6.59  | |   (554)   ~ (all_4_3 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (60), (552) imply:
% 42.31/6.59  | |   (555)   ~ (all_4_8 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (41), (552) imply:
% 42.31/6.59  | |   (556)   ~ (all_4_13 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (22), (552) imply:
% 42.31/6.59  | |   (557)   ~ (all_4_20 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (19), (552) imply:
% 42.31/6.59  | |   (558)   ~ (all_4_21 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (17), (552) imply:
% 42.31/6.59  | |   (559)   ~ (all_4_22 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (15), (552) imply:
% 42.31/6.59  | |   (560)   ~ (all_4_24 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | SIMP: (560) implies:
% 42.31/6.59  | |   (561)   ~ (all_4_24 = e1)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (517), (552) imply:
% 42.31/6.59  | |   (562)   ~ (e1 = e0)
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (538), (552) imply:
% 42.31/6.59  | |   (563)  op(e1, e1) = all_8_43
% 42.31/6.59  | | 
% 42.31/6.59  | | REDUCE: (543), (552) imply:
% 42.31/6.59  | |   (564)  op(e0, e1) = all_8_42
% 42.31/6.59  | | 
% 42.31/6.59  | | BETA: splitting (254) gives:
% 42.31/6.59  | | 
% 42.31/6.59  | | Case 1:
% 42.31/6.59  | | | 
% 42.31/6.59  | | |   (565)   ~ (all_8_49 = e2)
% 42.31/6.59  | | | 
% 42.31/6.59  | | | REDUCE: (390), (565) imply:
% 42.31/6.59  | | |   (566)   ~ (all_4_0 = e2)
% 42.31/6.59  | | | 
% 42.31/6.59  | | | BETA: splitting (252) gives:
% 42.31/6.59  | | | 
% 42.31/6.59  | | | Case 1:
% 42.31/6.59  | | | | 
% 42.31/6.59  | | | |   (567)   ~ (all_8_54 = e4)
% 42.31/6.59  | | | | 
% 42.31/6.59  | | | | REDUCE: (395), (567) imply:
% 42.31/6.59  | | | |   (568)   ~ (all_4_6 = e4)
% 42.31/6.59  | | | | 
% 42.31/6.59  | | | | BETA: splitting (248) gives:
% 42.31/6.59  | | | | 
% 42.31/6.59  | | | | Case 1:
% 42.31/6.59  | | | | | 
% 42.31/6.59  | | | | |   (569)   ~ (all_8_59 = e4)
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | REDUCE: (406), (569) imply:
% 42.31/6.60  | | | | |   (570)   ~ (all_4_12 = e4)
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | GROUND_INST: instantiating (function-axioms) with all_4_19, all_8_42,
% 42.31/6.60  | | | | |              e1, e0, simplifying with (113), (564) gives:
% 42.31/6.60  | | | | |   (571)  all_8_42 = all_4_19
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_43, e1,
% 42.31/6.60  | | | | |              e1, simplifying with (10), (563) gives:
% 42.31/6.60  | | | | |   (572)  all_8_43 = e0
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, all_8_19,
% 42.31/6.60  | | | | |              e1, e4, simplifying with (133), (518) gives:
% 42.31/6.60  | | | | |   (573)  all_8_19 = all_4_15
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, all_8_3,
% 42.31/6.60  | | | | |              e3, e4, simplifying with (135), (522) gives:
% 42.31/6.60  | | | | |   (574)  all_8_3 = all_4_5
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | BETA: splitting (250) gives:
% 42.31/6.60  | | | | | 
% 42.31/6.60  | | | | | Case 1:
% 42.31/6.60  | | | | | | 
% 42.31/6.60  | | | | | |   (575)   ~ (all_8_54 = e1)
% 42.31/6.60  | | | | | | 
% 42.31/6.60  | | | | | | REDUCE: (395), (575) imply:
% 42.31/6.60  | | | | | |   (576)   ~ (all_4_6 = e1)
% 42.31/6.60  | | | | | | 
% 42.31/6.60  | | | | | | BETA: splitting (247) gives:
% 42.31/6.60  | | | | | | 
% 42.31/6.60  | | | | | | Case 1:
% 42.31/6.60  | | | | | | | 
% 42.31/6.60  | | | | | | |   (577)   ~ (all_8_59 = e0)
% 42.31/6.60  | | | | | | | 
% 42.31/6.60  | | | | | | | REDUCE: (406), (577) imply:
% 42.31/6.60  | | | | | | |   (578)   ~ (all_4_12 = e0)
% 42.31/6.60  | | | | | | | 
% 42.31/6.60  | | | | | | | BETA: splitting (172) gives:
% 42.31/6.60  | | | | | | | 
% 42.31/6.60  | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | 
% 42.31/6.60  | | | | | | | |   (579)  all_6_12 = e1
% 42.31/6.60  | | | | | | | | 
% 42.31/6.60  | | | | | | | | REF_CLOSE: (462), (507), (579) are inconsistent by sub-proof
% 42.31/6.60  | | | | | | | |            #83.
% 42.31/6.60  | | | | | | | | 
% 42.31/6.60  | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | 
% 42.31/6.60  | | | | | | | |   (580)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 42.31/6.60  | | | | | | | |          all_6_12 = e0
% 42.31/6.60  | | | | | | | | 
% 42.31/6.60  | | | | | | | | BETA: splitting (580) gives:
% 42.31/6.60  | | | | | | | | 
% 42.31/6.60  | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | 
% 42.31/6.60  | | | | | | | | |   (581)  all_6_12 = e4
% 42.31/6.60  | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | REF_CLOSE: (462), (570), (581) are inconsistent by sub-proof
% 42.31/6.60  | | | | | | | | |            #82.
% 42.31/6.60  | | | | | | | | | 
% 42.31/6.60  | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | 
% 42.31/6.60  | | | | | | | | |   (582)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 42.31/6.60  | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | BETA: splitting (582) gives:
% 42.31/6.60  | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | |   (583)  all_6_12 = e2
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | COMBINE_EQS: (462), (583) imply:
% 42.31/6.60  | | | | | | | | | |   (584)  all_4_12 = e2
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | SIMP: (584) implies:
% 42.31/6.60  | | | | | | | | | |   (585)  all_4_12 = e2
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | COMBINE_EQS: (350), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (586)  all_10_8 = e2
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (66), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (587)   ~ (all_4_7 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (52), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (588)   ~ (all_4_11 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (47), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (589)   ~ (all_4_13 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | SIMP: (589) implies:
% 42.31/6.60  | | | | | | | | | |   (590)   ~ (all_4_13 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (46), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (591)   ~ (all_4_14 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | SIMP: (591) implies:
% 42.31/6.60  | | | | | | | | | |   (592)   ~ (all_4_14 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (45), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (593)   ~ (all_4_17 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | SIMP: (593) implies:
% 42.31/6.60  | | | | | | | | | |   (594)   ~ (all_4_17 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (44), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (595)   ~ (all_4_22 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | SIMP: (595) implies:
% 42.31/6.60  | | | | | | | | | |   (596)   ~ (all_4_22 = e2)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | REDUCE: (578), (585) imply:
% 42.31/6.60  | | | | | | | | | |   (597)   ~ (e2 = e0)
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | BETA: splitting (244) gives:
% 42.31/6.60  | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | |   (598)   ~ (all_8_69 = e3)
% 42.31/6.60  | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | REDUCE: (312), (598) imply:
% 42.31/6.60  | | | | | | | | | | |   (599)   ~ (all_4_24 = e3)
% 42.31/6.60  | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | BETA: splitting (249) gives:
% 42.31/6.60  | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | |   (600)   ~ (all_8_54 = e0)
% 42.31/6.60  | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | REDUCE: (395), (600) imply:
% 42.31/6.60  | | | | | | | | | | | |   (601)   ~ (all_4_6 = e0)
% 42.31/6.60  | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | BETA: splitting (245) gives:
% 42.31/6.60  | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | |   (602)   ~ (all_8_69 = e4)
% 42.31/6.60  | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | REDUCE: (312), (602) imply:
% 42.31/6.60  | | | | | | | | | | | | |   (603)   ~ (all_4_24 = e4)
% 42.31/6.60  | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | BETA: splitting (251) gives:
% 42.31/6.60  | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | |   (604)   ~ (all_8_54 = e2)
% 42.31/6.60  | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | REDUCE: (395), (604) imply:
% 42.31/6.60  | | | | | | | | | | | | | |   (605)   ~ (all_4_6 = e2)
% 42.31/6.60  | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 42.31/6.60  | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | |   (606)  all_6_6 = e1
% 42.31/6.60  | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | REF_CLOSE: (455), (576), (606) are inconsistent by sub-proof
% 42.31/6.60  | | | | | | | | | | | | | | |            #81.
% 42.31/6.60  | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | |   (607)   ~ (all_6_6 = e1)
% 42.31/6.60  | | | | | | | | | | | | | | |   (608)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 42.31/6.60  | | | | | | | | | | | | | | |          all_6_6 = e0
% 42.31/6.60  | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | BETA: splitting (608) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | |   (609)  all_6_6 = e4
% 42.31/6.60  | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | REF_CLOSE: (455), (568), (609) are inconsistent by sub-proof
% 42.31/6.60  | | | | | | | | | | | | | | | |            #80.
% 42.31/6.60  | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | |   (610)   ~ (all_6_6 = e4)
% 42.31/6.60  | | | | | | | | | | | | | | | |   (611)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 42.31/6.60  | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | BETA: splitting (611) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | |   (612)  all_6_6 = e2
% 42.31/6.60  | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (605), (612) are inconsistent by sub-proof
% 42.31/6.60  | | | | | | | | | | | | | | | | |            #79.
% 42.31/6.60  | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | |   (613)  all_6_6 = e3 | all_6_6 = e0
% 42.31/6.60  | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | BETA: splitting (613) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (614)  all_6_6 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (614) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (615)  all_4_6 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | SIMP: (615) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (616)  all_4_6 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | REDUCE: (73), (616) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (617)   ~ (all_4_8 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | SIMP: (617) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (618)   ~ (all_4_8 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | REDUCE: (72), (616) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (619)   ~ (all_4_9 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | SIMP: (619) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (620)   ~ (all_4_9 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | REDUCE: (69), (616) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (621)   ~ (all_4_21 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | SIMP: (621) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (622)   ~ (all_4_21 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | REDUCE: (568), (616) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | |   (623)   ~ (e4 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | |   (624)  all_10_12 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (624) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | |   (625)  all_4_3 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | REDUCE: (490), (625) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | |   (626)  $false
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | CLOSE: (626) is inconsistent.
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | |   (627)   ~ (all_10_12 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | |   (628)  all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 42.31/6.60  | | | | | | | | | | | | | | | | | | |          all_10_19 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | BETA: splitting (628) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | |   (629)  all_10_13 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (629) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | |   (630)  all_4_8 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (630) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | |   (631)  $false
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | CLOSE: (631) is inconsistent.
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | |   (632)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | |   (633)  all_10_16 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (633) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | |   (634)  all_4_20 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (634) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | |   (635)  all_8_48 = e3
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (634) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | |   (636)   ~ (all_4_5 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | REDUCE: (21), (634) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | |   (637)   ~ (all_4_24 = e3)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | |   (638)   ~ (all_8_49 = e0)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (638) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | |   (639)   ~ (all_4_0 = e0)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | |   (640)  all_6_0 = e1
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (640) are inconsistent by sub-proof
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | |   (641)   ~ (all_6_0 = e1)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | |   (642)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | |          all_6_0 = e0
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (643)  all_6_0 = e4
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (643) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (644)  all_4_0 = e4
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (644) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (645)  all_4_0 = e4
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (645) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (646)  all_10_0 = e4
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (645) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (647)   ~ (all_4_3 = e4)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (647) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (648)   ~ (all_4_3 = e4)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (645) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (649)   ~ (all_4_5 = e4)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (649) implies:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (650)   ~ (all_4_5 = e4)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (645) imply:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | |   (651)   ~ (e4 = e0)
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | |   (652)  all_6_15 = e1
% 42.31/6.60  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (554), (652) are inconsistent by sub-proof
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | |   (653)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_15 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (654)  all_10_0 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (646), (654) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (655)  e4 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (655) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (656)  $false
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (656) is inconsistent.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | |   (657)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_16 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (657) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (658)  all_10_1 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (658) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (659)  all_4_5 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (659) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (660)   ~ (all_4_7 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (660) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (661)   ~ (all_4_7 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (659) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (662)   ~ (all_4_9 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (662) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (663)   ~ (all_4_9 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (650), (659) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (664)   ~ (e4 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (636), (659) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (665)   ~ (e3 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (666)  all_10_6 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (666) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (667)  e3 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (667) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (668)  $false
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (668) is inconsistent.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (669)   ~ (all_10_6 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (670)  all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_18 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (670) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (671)  all_10_7 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (671) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (672)  all_4_7 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (672) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (673)  $false
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (673) is inconsistent.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (674)   ~ (all_10_7 = e0)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (675)  all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (653) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (676)  all_6_15 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (648), (676) are inconsistent by sub-proof
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #76.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (677)   ~ (all_6_15 = e4)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (678)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (678) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (679)  all_6_15 = e2
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (679) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (680)  all_4_3 = e2
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (680) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (681)  all_4_3 = e2
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (681) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (682)  all_10_12 = e2
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (648), (681) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (683)   ~ (e4 = e2)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (684)  all_6_16 = e1
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (555), (684) are inconsistent by sub-proof
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #75.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (685)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_16 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (685) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (686)  all_6_16 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (686) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (687)  all_4_8 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (687) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (688)  all_4_8 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (688) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (689)   ~ (all_4_7 = e4)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (688) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (690)   ~ (all_4_9 = e4)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (690) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (691)   ~ (all_4_9 = e4)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (675) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (692)  all_10_8 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (597), (692) are inconsistent by sub-proof
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #74.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (693)  all_10_11 = e0 | all_10_18 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (694)  all_6_11 = e1
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (694) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (695)  all_4_7 = e1
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (695) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (696)  all_4_7 = e1
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (696) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (697)   ~ (all_4_9 = e1)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (697) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (698)   ~ (all_4_9 = e1)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (696) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (699)   ~ (all_4_17 = e1)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (699) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (700)   ~ (all_4_17 = e1)
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (701)  all_6_21 = e1
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (698), (701) are inconsistent by sub-proof
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #73.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (702)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_21 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (703)  all_6_21 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (703) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (704)  all_4_9 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (704) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (705)  all_4_9 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (705) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (706)  $false
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (706) is inconsistent.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (707)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (708)  all_6_13 = e1
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (700), (708) are inconsistent by sub-proof
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #72.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (709)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_13 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (709) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (710)  all_6_13 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (710) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (711)  all_4_17 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (711) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (712)  all_4_17 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (712) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (713)  all_10_11 = e4
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (693) gives:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (714)  all_10_11 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (713), (714) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (715)  e4 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (715) implies:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (716)  e4 = e0
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (716) imply:
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (717)  $false
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (717) is inconsistent.
% 42.31/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (718)  all_10_18 = e0
% 42.65/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (718) imply:
% 42.65/6.61  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (719)  all_4_22 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (719) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (720)  all_4_22 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (720) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (721)   ~ (all_4_24 = e0)
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (721) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (722)   ~ (all_4_24 = e0)
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (723)  all_6_24 = e1
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (476), (561), (723) are inconsistent by sub-proof
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #71.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (724)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_24 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (724) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (725)  all_6_24 = e4
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (476), (603), (725) are inconsistent by sub-proof
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #70.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (726)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (707) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (727)  all_6_21 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (727) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (728)  all_4_9 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (728) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (729)  all_4_9 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (729) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (730)   ~ (all_4_24 = e2)
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (730) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (731)   ~ (all_4_24 = e2)
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (732)  all_6_24 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (732) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (733)  all_4_24 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (731), (733) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (734)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (734) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (735)  all_6_24 = e3 | all_6_24 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (736)  all_6_24 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (736) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (737)  all_4_24 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (737) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (738)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (738) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (739)  all_6_24 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (476), (739) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (740)  all_4_24 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (722), (740) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (741)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (741) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (742)  all_6_21 = e3 | all_6_21 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (620), (663), (742) are inconsistent by
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #69.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (743)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (498), (515), (594), (743) are inconsistent
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #68.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (744)  all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_11 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (744) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (745)  all_6_11 = e4
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (745) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (746)  all_4_7 = e4
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (746) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (747)  all_4_7 = e4
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (747) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (748)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (748) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (749)  all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (749) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (750)  all_6_11 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (750) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (751)  all_4_7 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (751) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (752)  all_4_7 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (752) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (753)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (753) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (754)  all_6_11 = e3 | all_6_11 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (754) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (755)  all_6_11 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (755) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (756)  all_4_7 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (756) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (757)  all_4_7 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (757) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (758)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (758) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (759)  all_6_11 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (759) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (760)  all_4_7 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (760) implies:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (761)  all_4_7 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (661), (761) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (762)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (762) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (763)   ~ (all_6_16 = e4)
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (763) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (764)   ~ (all_4_8 = e4)
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (632) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (765)  all_10_14 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (766)  all_10_12 = e4
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (682), (766) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (767)  e4 = e2
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (767) imply:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (768)  $false
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (768) is inconsistent.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (769)  all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 |
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_19 = e4
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (332), (338), (553), (651), (764),
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (765), (769) are inconsistent by sub-proof #65.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (770)  all_10_15 = e3 | all_10_19 = e3
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (332), (553), (770) are inconsistent by
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #64.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (771)  all_6_15 = e3 | all_6_15 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (490), (501), (771) are inconsistent by
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (772)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (772) gives:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (773)  all_10_4 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (382), (562), (773) are inconsistent by sub-proof
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #62.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (774)  all_10_9 = e0 | all_10_16 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (378), (513), (633), (774) are inconsistent
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #61.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | |   (775)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (639), (775) are inconsistent
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #58.
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.62  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (776)  all_8_48 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (776) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (777)  e4 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (777) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (778)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (778) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |   (779)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (344), (360), (483), (500), (553), (599),
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |            (622), (779) are inconsistent by sub-proof #56.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | |   (780)  all_6_6 = e0
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (601), (780) are inconsistent by sub-proof
% 42.65/6.63  | | | | | | | | | | | | | | | | | |            #55.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | End of split
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | |   (781)  all_8_54 = e2
% 42.65/6.63  | | | | | | | | | | | | | |   (782)  all_8_51 = e3
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | COMBINE_EQS: (400), (782) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (783)  all_4_11 = e3
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | SIMP: (783) implies:
% 42.65/6.63  | | | | | | | | | | | | | |   (784)  all_4_11 = e3
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | COMBINE_EQS: (395), (781) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (785)  all_4_6 = e2
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | REDUCE: (81), (785) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (786)   ~ (all_4_5 = e2)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | REDUCE: (73), (785) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (787)   ~ (all_4_8 = e2)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | SIMP: (787) implies:
% 42.65/6.63  | | | | | | | | | | | | | |   (788)   ~ (all_4_8 = e2)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | REDUCE: (69), (785) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (789)   ~ (all_4_21 = e2)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | SIMP: (789) implies:
% 42.65/6.63  | | | | | | | | | | | | | |   (790)   ~ (all_4_21 = e2)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | REDUCE: (576), (785) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (791)   ~ (e2 = e1)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | REDUCE: (51), (784) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (792)   ~ (all_4_13 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | SIMP: (792) implies:
% 42.65/6.63  | | | | | | | | | | | | | |   (793)   ~ (all_4_13 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | REDUCE: (48), (784) imply:
% 42.65/6.63  | | | | | | | | | | | | | |   (794)   ~ (all_4_21 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | SIMP: (794) implies:
% 42.65/6.63  | | | | | | | | | | | | | |   (795)   ~ (all_4_21 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 42.65/6.63  | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | |   (796)  all_10_12 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | COMBINE_EQS: (341), (796) imply:
% 42.65/6.63  | | | | | | | | | | | | | | |   (797)  all_4_3 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | REDUCE: (490), (797) imply:
% 42.65/6.63  | | | | | | | | | | | | | | |   (798)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | CLOSE: (798) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | |   (799)  all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 42.65/6.63  | | | | | | | | | | | | | | |          all_10_19 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | BETA: splitting (799) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | |   (800)  all_10_13 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (800) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | |   (801)  all_4_8 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | REDUCE: (63), (801) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | |   (802)   ~ (all_4_9 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | SIMP: (802) implies:
% 42.65/6.63  | | | | | | | | | | | | | | | |   (803)   ~ (all_4_9 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | |   (804)  all_10_16 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (804) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | |   (805)  all_4_20 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (805) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | |   (806)  all_8_48 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | REDUCE: (75), (805) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | |   (807)   ~ (all_4_5 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | REDUCE: (21), (805) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | |   (808)   ~ (all_4_24 = e3)
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | REDUCE: (520), (805) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | |   (809)  op(e4, e3) = all_8_37
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | |   (810)   ~ (all_8_49 = e0)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | REDUCE: (390), (810) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | |   (811)   ~ (all_4_0 = e0)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | BETA: splitting (285) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | |   (812)  all_10_16 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (812) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | |   (813)  e3 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | REDUCE: (6), (813) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | |   (814)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | CLOSE: (814) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | |   (815)  all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 |
% 42.65/6.63  | | | | | | | | | | | | | | | | | | |          all_10_24 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | |   (816)  all_10_20 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (816) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | |   (817)  all_4_4 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | REDUCE: (492), (817) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | |   (818)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | CLOSE: (818) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | |   (819)  all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 |
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | BETA: splitting (819) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |   (820)  all_10_21 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (820) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |   (821)  all_4_9 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (821) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |   (822)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | CLOSE: (822) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | |   (823)  all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (815) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (824)  all_10_17 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (824) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (825)  all_4_21 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (825) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (826)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (826) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | |   (827)  all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (827) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | |   (828)  all_10_18 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (828) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | |   (829)  all_4_22 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (829) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | |   (830)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (830) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | |   (831)  all_10_19 = e2 | all_10_24 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | |   (832)  all_6_0 = e1
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (832) are inconsistent by sub-proof
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | |   (833)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | |          all_6_0 = e0
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (833) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (834)  all_6_0 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (834) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (835)  all_4_0 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (835) implies:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (836)  all_4_0 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (836) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (837)   ~ (all_4_4 = e4)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (837) implies:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (838)   ~ (all_4_4 = e4)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (836) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (839)   ~ (all_4_5 = e4)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (839) implies:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | |   (840)   ~ (all_4_5 = e4)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (841)  all_6_1 = e1
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (502), (841) are inconsistent by sub-proof
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | |            #54.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | |   (842)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_1 = e0
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (842) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (843)  all_6_1 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (843) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (844)  all_4_5 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (844) implies:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (845)  all_4_5 = e4
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (845) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (846)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (846) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (847)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (847) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (848)  all_6_1 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (786), (848) are inconsistent by sub-proof
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #53.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (849)   ~ (all_6_1 = e2)
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (850)  all_6_1 = e3 | all_6_1 = e0
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (831) gives:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (851)  all_10_19 = e2
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (851) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (852)  e2 = e1
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (852) imply:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (853)  $false
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (853) is inconsistent.
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.63  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (854)  all_10_24 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (854) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (855)  all_4_24 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (855) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (856)  all_4_24 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (856) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (857)  all_8_69 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (856) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (858)   ~ (all_4_4 = e2)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (856) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (859)   ~ (all_4_9 = e2)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (856) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (860)   ~ (e3 = e2)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (861)   ~ (all_8_69 = e2)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (857), (861) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (862)  $false
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (862) is inconsistent.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (863)  all_8_67 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (318), (863) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (864)  all_4_14 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (864) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (865)  all_4_14 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (865) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (866)  all_10_22 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (865) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (867)   ~ (all_4_4 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (865) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (868)   ~ (all_4_19 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (868) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (869)   ~ (all_4_19 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (865) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (870)  op(e2, e0) = all_8_25
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (850) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (871)  all_6_1 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (440), (807), (871) are inconsistent by sub-proof
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #52.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (872)  all_6_1 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (440), (872) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (873)  all_4_5 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (873) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (874)  all_4_5 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (874) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (875)   ~ (all_4_7 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (875) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (876)   ~ (all_4_7 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (874) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (877)   ~ (all_4_9 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (877) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (878)   ~ (all_4_9 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (874) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (879)   ~ (e3 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (874) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (880)   ~ (e2 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (874) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (881)  op(e4, e3) = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (823) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (882)  all_10_22 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (866), (882) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (883)  e3 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (883) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (884)  $false
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (884) is inconsistent.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (885)  all_10_23 = e3 | all_10_24 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (885) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (886)  all_10_23 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (886) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (887)  all_4_19 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (887) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (888)  all_4_19 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (888) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (889)  all_8_42 = e3
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (890)  all_6_20 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (890) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (891)  all_4_4 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (891) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (892)  all_4_4 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (892) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (893)   ~ (all_4_9 = e1)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (893) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (894)   ~ (all_4_9 = e1)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (492), (892) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (895)   ~ (e3 = e1)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (892) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (896)  op(e0, e4) = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (897)  all_6_21 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (894), (897) are inconsistent by sub-proof
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #73.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (898)  all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 |
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_21 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (898) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (899)  all_6_21 = e4
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (899) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (900)  all_4_9 = e4
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (900) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (901)  all_4_9 = e4
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (901) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (902)  op(e0, e4) = all_8_17
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (903)  all_10_6 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (357), (903) are inconsistent by sub-proof
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #51.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (904)  all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_10_18 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (904) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (905)  all_10_7 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (905) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (906)  all_4_7 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (906) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (907)  $false
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (907) is inconsistent.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (908)  all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (908) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (909)  all_10_8 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (586), (909) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (910)  e2 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (910) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (911)  $false
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (911) is inconsistent.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (912)  all_10_11 = e0 | all_10_18 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (912) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (913)  all_10_11 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (347), (515), (913) are inconsistent by sub-proof
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #50.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (914)  all_10_18 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (914) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (915)  all_4_22 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (915) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (916)  all_4_22 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (916) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (917)   ~ (all_4_21 = e0)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (916) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (918)  op(e2, e0) = all_8_41
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (916) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (919)  op(e2, e0) = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (920)  all_6_9 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (558), (920) are inconsistent by sub-proof
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #49.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (921)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 |
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_9 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (921) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (922)  all_6_9 = e4
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (922) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (923)  all_4_21 = e4
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (923) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (924)  all_4_21 = e4
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (924) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (925)  op(e0, e4) = all_8_38
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_38,
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_17, e4, e0, simplifying with (902), (925)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (926)  all_8_17 = all_8_38
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_17,
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e0, simplifying with (896), (902) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (927)  all_8_17 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_41,
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_25, e0, e2, simplifying with (870), (918)
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (928)  all_8_25 = all_8_41
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25,
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (870), (919) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (929)  all_8_25 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_37,
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (809), (881) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (930)  all_8_37 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (926), (927) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (931)  all_8_38 = e1
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (928), (929) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (932)  all_8_41 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (239), (889), (930), (931), (932) are
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #48.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (933)  all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (933) gives:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (934)  all_6_9 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (934) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (935)  all_4_21 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (935) implies:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (936)  all_4_21 = e2
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (936) imply:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (937)  $false
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (937) is inconsistent.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (938)  all_6_9 = e3 | all_6_9 = e0
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (795), (917), (938) are inconsistent by
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #47.
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.64  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (939)  all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (939) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (940)  all_6_21 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (940) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (941)  all_4_9 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (941) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (942)  all_4_9 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (942) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (943)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (943) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (944)  all_6_21 = e3 | all_6_21 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (803), (878), (944) are inconsistent by
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #69.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (945)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |          all_6_20 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (492), (838), (858), (867), (945) are
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (946)  all_10_24 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (854), (946) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (947)  e3 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (947) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (948)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (948) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | |   (949)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (811), (949) are inconsistent
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #58.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (950)  all_8_48 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (806), (950) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (951)  e4 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | REDUCE: (9), (951) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (952)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | CLOSE: (952) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (953)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 42.65/6.65  | | | | | | | | | | | | | | | | |          all_10_24 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (344), (360), (483), (500), (553), (599),
% 42.65/6.65  | | | | | | | | | | | | | | | | |            (795), (953) are inconsistent by sub-proof #56.
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | |   (954)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | BETA: splitting (954) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (955)  all_10_14 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (955) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (956)  all_4_13 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | REDUCE: (793), (956) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (957)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | CLOSE: (957) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (958)  all_10_15 = e3 | all_10_19 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (332), (553), (958) are inconsistent by
% 42.65/6.65  | | | | | | | | | | | | | | | | |            sub-proof #64.
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | End of split
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | |   (959)  all_8_69 = e4
% 42.65/6.65  | | | | | | | | | | | | |   (960)  all_8_65 = e0
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | COMBINE_EQS: (429), (960) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (961)  all_4_4 = e0
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | SIMP: (961) implies:
% 42.65/6.65  | | | | | | | | | | | | |   (962)  all_4_4 = e0
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | COMBINE_EQS: (312), (959) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (963)  all_4_24 = e4
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | COMBINE_EQS: (483), (963) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (964)  all_10_24 = e4
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | COMBINE_EQS: (326), (962) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (965)  all_10_20 = e0
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | REDUCE: (108), (962) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (966)   ~ (all_4_0 = e0)
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | REDUCE: (101), (962) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (967)   ~ (all_4_1 = e0)
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | REDUCE: (85), (962) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (968)   ~ (all_4_9 = e0)
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | SIMP: (968) implies:
% 42.65/6.65  | | | | | | | | | | | | |   (969)   ~ (all_4_9 = e0)
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | REDUCE: (18), (963) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (970)   ~ (all_4_21 = e4)
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | REDUCE: (16), (963) imply:
% 42.65/6.65  | | | | | | | | | | | | |   (971)   ~ (all_4_22 = e4)
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | BETA: splitting (182) gives:
% 42.65/6.65  | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | |   (972)  all_6_0 = e1
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (972) are inconsistent by sub-proof
% 42.65/6.65  | | | | | | | | | | | | | |            #78.
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | |   (973)   ~ (all_6_0 = e1)
% 42.65/6.65  | | | | | | | | | | | | | |   (974)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.65/6.65  | | | | | | | | | | | | | |          all_6_0 = e0
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | BETA: splitting (974) gives:
% 42.65/6.65  | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | |   (975)  all_6_0 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | COMBINE_EQS: (448), (975) imply:
% 42.65/6.65  | | | | | | | | | | | | | | |   (976)  all_4_0 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | SIMP: (976) implies:
% 42.65/6.65  | | | | | | | | | | | | | | |   (977)  all_4_0 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | COMBINE_EQS: (388), (977) imply:
% 42.65/6.65  | | | | | | | | | | | | | | |   (978)  all_10_0 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | REDUCE: (111), (977) imply:
% 42.65/6.65  | | | | | | | | | | | | | | |   (979)   ~ (all_4_1 = e4)
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | SIMP: (979) implies:
% 42.65/6.65  | | | | | | | | | | | | | | |   (980)   ~ (all_4_1 = e4)
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | REDUCE: (109), (977) imply:
% 42.65/6.65  | | | | | | | | | | | | | | |   (981)   ~ (all_4_3 = e4)
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | SIMP: (981) implies:
% 42.65/6.65  | | | | | | | | | | | | | | |   (982)   ~ (all_4_3 = e4)
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | REDUCE: (107), (977) imply:
% 42.65/6.65  | | | | | | | | | | | | | | |   (983)   ~ (all_4_5 = e4)
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | SIMP: (983) implies:
% 42.65/6.65  | | | | | | | | | | | | | | |   (984)   ~ (all_4_5 = e4)
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | BETA: splitting (170) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | |   (985)  all_6_14 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (985) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | |   (986)  all_4_22 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | SIMP: (986) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | |   (987)  all_4_22 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | REDUCE: (559), (987) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | |   (988)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | CLOSE: (988) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | |   (989)  all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 42.65/6.65  | | | | | | | | | | | | | | | |          all_6_14 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (990)  all_6_15 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (554), (990) are inconsistent by sub-proof
% 42.65/6.65  | | | | | | | | | | | | | | | | |            #77.
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | |   (991)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 42.65/6.65  | | | | | | | | | | | | | | | | |          all_6_15 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | BETA: splitting (989) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (992)  all_6_14 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (992) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (993)  all_4_22 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | SIMP: (993) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (994)  all_4_22 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | REDUCE: (971), (994) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (995)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | CLOSE: (995) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | |   (996)  all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | BETA: splitting (996) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | |   (997)  all_6_14 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (997) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | |   (998)  all_4_22 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | SIMP: (998) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | |   (999)  all_4_22 = e2
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | REDUCE: (596), (999) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | |   (1000)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | CLOSE: (1000) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | |   (1001)  all_6_14 = e3 | all_6_14 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | BETA: splitting (1001) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1002)  all_6_14 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1002) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1003)  all_4_22 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | SIMP: (1003) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1004)  all_4_22 = e3
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (1004) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1005)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | CLOSE: (1005) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1006)  all_6_14 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1006) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1007)  all_4_22 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | SIMP: (1007) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1008)  all_4_22 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1008) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1009)   ~ (all_4_7 = e0)
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1008) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1010)   ~ (all_4_21 = e0)
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (1008) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | |   (1011)   ~ (e3 = e0)
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | BETA: splitting (991) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | |   (1012)  all_6_15 = e4
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (982), (1012) are inconsistent by sub-proof
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | |            #76.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | |   (1013)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | |   (1014)  all_10_0 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (978), (1014) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | |   (1015)  e4 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1015) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | |   (1016)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1016) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | |   (1017)  all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1017) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | |   (1018)  all_10_2 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1018) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | |   (1019)  all_4_1 = e1
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1019) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | |   (1020)   ~ (all_4_3 = e1)
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (980), (1019) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | |   (1021)   ~ (e4 = e1)
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1022)  all_10_2 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (1022) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1023)  e1 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1023) implies:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1024)  e1 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1024) imply:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1025)  $false
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1025) is inconsistent.
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | |   (1026)  all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e0
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1026) gives:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.65  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1027)  all_10_3 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1027) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1028)  all_4_6 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (1028) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1029)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1029) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1030)   ~ (all_10_3 = e0)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | |   (1031)  all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1031) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1032)  all_10_5 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1032) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1033)  all_4_11 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1033) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1034)  all_4_11 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1034) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1035)  all_8_51 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1036)   ~ (all_8_54 = e2)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (395), (1036) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1037)   ~ (all_4_6 = e2)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1038)  all_10_1 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1038) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1039)  all_4_5 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (984), (1039) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1040)   ~ (e4 = e0)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1040) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1041)   ~ (e4 = e0)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (502), (1039) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1042)   ~ (e1 = e0)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1043)  all_10_2 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1018), (1043) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1044)  e4 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1044) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1045)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1045) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1046)  all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1046) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1047)  all_10_3 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1047) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1048)  all_4_6 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (1048) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1049)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1049) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1050)  all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1013) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1051)  all_6_15 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1051) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1052)  all_4_3 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1052) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1053)  all_4_3 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1053) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1054)   ~ (all_4_8 = e2)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1054) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1055)   ~ (all_4_8 = e2)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1053) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1056)   ~ (e2 = e1)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1057)  all_10_1 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (1057) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1058)  e2 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1058) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1059)  e2 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (1059) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1060)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1060) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1061)  all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_21 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1061) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1062)  all_10_3 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1062) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1063)  all_4_6 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1037), (1063) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1064)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1064) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1065)  all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1065) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1066)  all_10_7 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1066) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1067)  all_4_7 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (1067) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1068)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1068) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1069)  all_10_13 = e2 | all_10_21 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1069) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1070)  all_10_13 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (1055), (1070) are inconsistent by
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #45.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1071)  all_10_21 = e2
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1050) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1072)  all_10_5 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1032), (1072) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1073)  e4 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1041), (1073) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1074)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1074) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1075)  all_10_10 = e4 | all_10_17 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1076)  all_10_20 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (965), (1076) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1077)  e1 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1077) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1078)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1079)  all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 |
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1080)  all_10_21 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1071), (1080) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1081)  e2 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1081) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1082)  e2 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1056), (1082) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1083)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1083) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1084)  all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1084) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1085)  all_10_22 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1085) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1086)  all_4_14 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1086) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1087)  all_4_14 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (1087) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1088)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1088) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1089)  all_10_23 = e1 | all_10_24 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1075) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1090)  all_10_10 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1090) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1091)  all_4_16 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1091) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1092)  all_4_16 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1092) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1093)   ~ (all_4_17 = e4)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1093) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1094)   ~ (all_4_17 = e4)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1095)  all_6_13 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1095) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1096)  all_4_17 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1096) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1097)  all_4_17 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (1097) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1098)   ~ (all_4_19 = e1)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1098) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1099)   ~ (all_4_19 = e1)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1089) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1100)  all_10_23 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (1100) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1101)  all_4_19 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1101) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1102)  all_4_19 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1099), (1102) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1103)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1103) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1104)  all_10_24 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (1104) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1105)  e4 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1105) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1106)  e4 = e1
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1106) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1107)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1107) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1108)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1108) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1109)  all_6_13 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1109) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1110)  all_4_17 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1110) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1111)  all_4_17 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1094), (1111) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1112)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1112) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1113)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (498), (515), (594), (1113) are
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1114)  all_10_17 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (1114) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1115)  all_4_21 = e4
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (1115) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1116)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1116) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1117)  all_6_15 = e3 | all_6_15 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (490), (501), (1117) are inconsistent by
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1118)  all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_21 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (323), (338), (353), (369), (503), (601), (969),
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1009), (1118) are inconsistent by sub-proof #44.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1119)  all_8_51 = e3
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1035), (1119) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1120)  e3 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1120) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1121)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1121) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1122)  all_10_10 = e0 | all_10_17 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1123)  all_10_10 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1123) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1124)  all_4_16 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1124) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1125)  all_4_16 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (514), (1125) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1126)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1126) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1127)  all_10_17 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (1127) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1128)  all_4_21 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1128) implies:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1129)  all_4_21 = e0
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1010), (1129) imply:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1130)  $false
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1130) is inconsistent.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | |   (1131)   ~ (all_10_2 = e1)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (178), (288), (341), (372), (449), (463),
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | |            (488), (490), (501), (967), (980), (1013), (1131)
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #40.
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | | 
% 42.65/6.66  | | | | | | | | | | | | | | | End of split
% 42.65/6.66  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | |   (1132)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (966), (1132) are
% 42.65/6.67  | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | End of split
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | End of split
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | End of split
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | |   (1133)  all_8_54 = e0
% 42.65/6.67  | | | | | | | | | | | |   (1134)  all_8_53 = e3
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | COMBINE_EQS: (423), (1134) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1135)  all_4_21 = e3
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | SIMP: (1135) implies:
% 42.65/6.67  | | | | | | | | | | | |   (1136)  all_4_21 = e3
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | COMBINE_EQS: (395), (1133) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1137)  all_4_6 = e0
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | COMBINE_EQS: (360), (1136) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1138)  all_10_17 = e3
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | REDUCE: (100), (1137) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1139)   ~ (all_4_1 = e0)
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | REDUCE: (71), (1137) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1140)   ~ (all_4_11 = e0)
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | SIMP: (1140) implies:
% 42.65/6.67  | | | | | | | | | | | |   (1141)   ~ (all_4_11 = e0)
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | REDUCE: (48), (1136) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1142)   ~ (all_4_11 = e3)
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | REDUCE: (528), (1136) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1143)  op(e3, e3) = all_8_39
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | REDUCE: (130), (1137) imply:
% 42.65/6.67  | | | | | | | | | | | |   (1144)  op(e3, e3) = e0
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | BETA: splitting (176) gives:
% 42.65/6.67  | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | |   (1145)  all_6_7 = e1
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | COMBINE_EQS: (451), (1145) imply:
% 42.65/6.67  | | | | | | | | | | | | |   (1146)  all_4_11 = e1
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | REDUCE: (505), (1146) imply:
% 42.65/6.67  | | | | | | | | | | | | |   (1147)  $false
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | CLOSE: (1147) is inconsistent.
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | |   (1148)  all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 42.65/6.67  | | | | | | | | | | | | |           all_6_7 = e0
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | BETA: splitting (1148) gives:
% 42.65/6.67  | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | |   (1149)  all_6_7 = e4
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | COMBINE_EQS: (451), (1149) imply:
% 42.65/6.67  | | | | | | | | | | | | | |   (1150)  all_4_11 = e4
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | REDUCE: (51), (1150) imply:
% 42.65/6.67  | | | | | | | | | | | | | |   (1151)   ~ (all_4_13 = e4)
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | SIMP: (1151) implies:
% 42.65/6.67  | | | | | | | | | | | | | |   (1152)   ~ (all_4_13 = e4)
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | REDUCE: (50), (1150) imply:
% 42.65/6.67  | | | | | | | | | | | | | |   (1153)   ~ (all_4_14 = e4)
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | SIMP: (1153) implies:
% 42.65/6.67  | | | | | | | | | | | | | |   (1154)   ~ (all_4_14 = e4)
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 42.65/6.67  | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | |   (1155)  all_6_17 = e1
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | REF_CLOSE: (467), (556), (1155) are inconsistent by sub-proof
% 42.65/6.67  | | | | | | | | | | | | | | |            #39.
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | |   (1156)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 42.65/6.67  | | | | | | | | | | | | | | |           all_6_17 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | BETA: splitting (1156) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | |   (1157)  all_6_17 = e4
% 42.65/6.67  | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | REF_CLOSE: (467), (1152), (1157) are inconsistent by
% 42.65/6.67  | | | | | | | | | | | | | | | |            sub-proof #38.
% 42.65/6.67  | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | |   (1158)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | BETA: splitting (1158) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | |   (1159)  all_6_17 = e2
% 42.65/6.67  | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (590), (1159) are inconsistent by sub-proof
% 42.65/6.67  | | | | | | | | | | | | | | | | |            #37.
% 42.65/6.67  | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | |   (1160)  all_6_17 = e3 | all_6_17 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | BETA: splitting (1160) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | |   (1161)  all_6_17 = e3
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (1161) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | |   (1162)  all_4_13 = e3
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | SIMP: (1162) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | |   (1163)  all_4_13 = e3
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | REDUCE: (43), (1163) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | |   (1164)   ~ (all_4_14 = e3)
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | SIMP: (1164) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | |   (1165)   ~ (all_4_14 = e3)
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | |   (1166)  all_6_22 = e1
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1166) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | |   (1167)  all_4_14 = e1
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | SIMP: (1167) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | |   (1168)  all_4_14 = e1
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | REDUCE: (509), (1168) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | |   (1169)  $false
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | CLOSE: (1169) is inconsistent.
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | |   (1170)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 42.65/6.67  | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | |   (1171)  all_6_22 = e4
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1171) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | |   (1172)  all_4_14 = e4
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | SIMP: (1172) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | |   (1173)  all_4_14 = e4
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | REDUCE: (1154), (1173) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | |   (1174)  $false
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | CLOSE: (1174) is inconsistent.
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | |   (1175)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1175) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | |   (1176)  all_6_22 = e2
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1176) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | |   (1177)  all_4_14 = e2
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | SIMP: (1177) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | |   (1178)  all_4_14 = e2
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1178) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | |   (1179)  $false
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1179) is inconsistent.
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | |   (1180)  all_6_22 = e3 | all_6_22 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1181)  all_6_22 = e3
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (1165), (1181) are inconsistent by
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #36.
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1182)  all_6_22 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (1182) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1183)  all_4_14 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1183) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1184)  all_4_14 = e0
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1184) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1185)   ~ (all_4_4 = e0)
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1184) imply:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1186)   ~ (all_4_24 = e0)
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1186) implies:
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1187)   ~ (all_4_24 = e0)
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.65/6.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1165), (1184) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1188)   ~ (e3 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (535), (1184) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | |   (1189)  op(e2, e0) = all_8_25
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1190)  all_10_0 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1190) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1191)  all_4_0 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1191) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1192)  all_8_49 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1191) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1193)   ~ (all_4_20 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1193) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1194)   ~ (all_4_20 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (487), (1191) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1195)   ~ (e1 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (1191) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1196)  op(e4, e4) = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1197)   ~ (all_8_49 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1192), (1197) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1198)  $false
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1198) is inconsistent.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1199)  all_8_48 = e4
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1199) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1200)  all_4_20 = e4
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1200) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1201)  all_10_16 = e4
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1194), (1200) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1202)   ~ (e4 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (1200) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1203)  op(e4, e4) = all_8_37
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1204)  all_10_24 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1204) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1205)  all_4_24 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1206)  all_4_24 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1187), (1206) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1207)  $false
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1207) is inconsistent.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1208)  (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |             | all_10_19 = e0) & (all_10_20 = e0 | all_10_21
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |             = e0 | all_10_22 = e0 | all_10_23 = e0)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1208) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |   (1209)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 |
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1209) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1210)  all_10_16 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1201), (1210) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1211)  e4 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1211) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1212)  e4 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1202), (1212) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1213)  $false
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1213) is inconsistent.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1214)  all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1214) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1215)  all_10_17 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1138), (1215) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1216)  e3 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1217)  e3 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1217) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1218)  $false
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1218) is inconsistent.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1219)  all_10_18 = e0 | all_10_19 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1220)  all_10_18 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1220) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1221)  all_4_22 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1221) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1222)  all_4_22 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (1222) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1223)  op(e2, e0) = all_8_41
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (122), (1222) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1224)  op(e2, e0) = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_41,
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_25, e0, e2, simplifying with (1189), (1223)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1225)  all_8_25 = all_8_41
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25,
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e2, simplifying with (1189), (1224) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1226)  all_8_25 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_39,
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (1143), (1144) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1227)  all_8_39 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_37,
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e4, simplifying with (1196), (1203) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1228)  all_8_37 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1225), (1226) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1229)  all_8_41 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1229) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1230)  all_8_41 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (239), (572), (1227), (1228), (1230) are
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1231)  all_10_19 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1231) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1232)  e1 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1232) implies:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1233)  e1 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1233) imply:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1234)  $false
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1234) is inconsistent.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |   (1235)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1236)  all_10_2 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (1139), (1236) are inconsistent by
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #34.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |   (1237)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (326), (341), (357), (501), (1185), (1237)
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #32.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | |   (1238)  all_6_17 = e0
% 42.89/6.67  | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (512), (1238) are inconsistent by sub-proof
% 42.89/6.67  | | | | | | | | | | | | | | | | | |            #31.
% 42.89/6.67  | | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | | End of split
% 42.89/6.67  | | | | | | | | | | | | | | 
% 42.89/6.67  | | | | | | | | | | | | | Case 2:
% 42.89/6.67  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | |   (1239)  all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | |   (1240)  all_6_7 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | COMBINE_EQS: (451), (1240) imply:
% 42.89/6.68  | | | | | | | | | | | | | | |   (1241)  all_4_11 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | SIMP: (1241) implies:
% 42.89/6.68  | | | | | | | | | | | | | | |   (1242)  all_4_11 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | REDUCE: (588), (1242) imply:
% 42.89/6.68  | | | | | | | | | | | | | | |   (1243)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | CLOSE: (1243) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | |   (1244)  all_6_7 = e3 | all_6_7 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | BETA: splitting (1244) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1245)  all_6_7 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (1245) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1246)  all_4_11 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | SIMP: (1246) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1247)  all_4_11 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | REDUCE: (1142), (1247) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1248)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | CLOSE: (1248) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1249)  all_6_7 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (451), (1249) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1250)  all_4_11 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | SIMP: (1250) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1251)  all_4_11 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | REDUCE: (1141), (1251) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1252)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | CLOSE: (1252) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | End of split
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | End of split
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | End of split
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | End of split
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | End of split
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | |   (1253)  all_8_69 = e3
% 42.89/6.68  | | | | | | | | | | |   (1254)  all_8_66 = e0
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | COMBINE_EQS: (432), (1254) imply:
% 42.89/6.68  | | | | | | | | | | |   (1255)  all_4_9 = e0
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | SIMP: (1255) implies:
% 42.89/6.68  | | | | | | | | | | |   (1256)  all_4_9 = e0
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | COMBINE_EQS: (312), (1253) imply:
% 42.89/6.68  | | | | | | | | | | |   (1257)  all_4_24 = e3
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | COMBINE_EQS: (483), (1257) imply:
% 42.89/6.68  | | | | | | | | | | |   (1258)  all_10_24 = e3
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | COMBINE_EQS: (323), (1256) imply:
% 42.89/6.68  | | | | | | | | | | |   (1259)  all_10_21 = e0
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (78), (1256) imply:
% 42.89/6.68  | | | | | | | | | | |   (1260)   ~ (all_4_5 = e0)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (72), (1256) imply:
% 42.89/6.68  | | | | | | | | | | |   (1261)   ~ (all_4_6 = e0)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (67), (1256) imply:
% 42.89/6.68  | | | | | | | | | | |   (1262)   ~ (all_4_7 = e0)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (59), (1256) imply:
% 42.89/6.68  | | | | | | | | | | |   (1263)   ~ (all_4_14 = e0)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | SIMP: (1263) implies:
% 42.89/6.68  | | | | | | | | | | |   (1264)   ~ (all_4_14 = e0)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (57), (1256), (1257) imply:
% 42.89/6.68  | | | | | | | | | | |   (1265)   ~ (e3 = e0)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (39), (1257) imply:
% 42.89/6.68  | | | | | | | | | | |   (1266)   ~ (all_4_14 = e3)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (25), (1257) imply:
% 42.89/6.68  | | | | | | | | | | |   (1267)   ~ (all_4_19 = e3)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (18), (1257) imply:
% 42.89/6.68  | | | | | | | | | | |   (1268)   ~ (all_4_21 = e3)
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (545), (1256) imply:
% 42.89/6.68  | | | | | | | | | | |   (1269)  op(e0, e0) = all_8_17
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | REDUCE: (112), (1257) imply:
% 42.89/6.68  | | | | | | | | | | |   (1270)  op(e0, e0) = e3
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | BETA: splitting (164) gives:
% 42.89/6.68  | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | |   (1271)  all_6_22 = e1
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | COMBINE_EQS: (473), (1271) imply:
% 42.89/6.68  | | | | | | | | | | | |   (1272)  all_4_14 = e1
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | REDUCE: (509), (1272) imply:
% 42.89/6.68  | | | | | | | | | | | |   (1273)  $false
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | CLOSE: (1273) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | |   (1274)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 42.89/6.68  | | | | | | | | | | | |           all_6_22 = e0
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | BETA: splitting (1274) gives:
% 42.89/6.68  | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | |   (1275)  all_6_22 = e4
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | COMBINE_EQS: (473), (1275) imply:
% 42.89/6.68  | | | | | | | | | | | | |   (1276)  all_4_14 = e4
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | COMBINE_EQS: (485), (1276) imply:
% 42.89/6.68  | | | | | | | | | | | | |   (1277)  all_10_22 = e4
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | REDUCE: (84), (1276) imply:
% 42.89/6.68  | | | | | | | | | | | | |   (1278)   ~ (all_4_4 = e4)
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | REDUCE: (43), (1276) imply:
% 42.89/6.68  | | | | | | | | | | | | |   (1279)   ~ (all_4_13 = e4)
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | REDUCE: (546), (1276) imply:
% 42.89/6.68  | | | | | | | | | | | | |   (1280)  op(e0, e4) = all_8_26
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | REDUCE: (114), (1276) imply:
% 42.89/6.68  | | | | | | | | | | | | |   (1281)  op(e0, e2) = e4
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | BETA: splitting (167) gives:
% 42.89/6.68  | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | |   (1282)  all_6_17 = e1
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | COMBINE_EQS: (467), (1282) imply:
% 42.89/6.68  | | | | | | | | | | | | | |   (1283)  all_4_13 = e1
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | REDUCE: (556), (1283) imply:
% 42.89/6.68  | | | | | | | | | | | | | |   (1284)  $false
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | CLOSE: (1284) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | |   (1285)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 42.89/6.68  | | | | | | | | | | | | | |           all_6_17 = e0
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | BETA: splitting (294) gives:
% 42.89/6.68  | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | |   (1286)  all_10_6 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | REF_CLOSE: (4), (357), (1286) are inconsistent by sub-proof
% 42.89/6.68  | | | | | | | | | | | | | | |            #51.
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | |   (1287)  all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 |
% 42.89/6.68  | | | | | | | | | | | | | | |           all_10_18 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | BETA: splitting (1287) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1288)  all_10_7 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1288) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1289)  all_4_7 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | REDUCE: (1262), (1289) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1290)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | CLOSE: (1290) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | |   (1291)  all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | BETA: splitting (1291) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | |   (1292)  all_10_8 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | REF_CLOSE: (586), (597), (1292) are inconsistent by sub-proof
% 42.89/6.68  | | | | | | | | | | | | | | | | |            #74.
% 42.89/6.68  | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | |   (1293)  all_10_11 = e0 | all_10_18 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | BETA: splitting (1285) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | |   (1294)  all_6_17 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (1294) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | |   (1295)  all_4_13 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | REDUCE: (1279), (1295) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | |   (1296)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | CLOSE: (1296) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | |   (1297)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | BETA: splitting (1297) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | |   (1298)  all_6_17 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (1298) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | |   (1299)  all_4_13 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | REDUCE: (590), (1299) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | |   (1300)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | CLOSE: (1300) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | |   (1301)  all_6_17 = e3 | all_6_17 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | BETA: splitting (1293) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1302)  all_10_11 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (347), (515), (1302) are inconsistent by sub-proof
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |            #50.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1303)  all_10_18 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (1303) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1304)  all_4_22 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | SIMP: (1304) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1305)  all_4_22 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1305) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1306)   ~ (all_4_20 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1305) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1307)   ~ (all_4_21 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (1305) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1308)   ~ (e1 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (1305) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | |   (1309)  op(e0, e0) = all_8_40
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1310)  all_10_0 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1310) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1311)  all_4_0 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (1311) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1312)  all_8_49 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1311) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1313)   ~ (all_4_1 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | SIMP: (1313) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1314)   ~ (all_4_1 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1311) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1315)   ~ (all_4_3 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1311) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1316)   ~ (all_4_4 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | SIMP: (1316) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1317)   ~ (all_4_4 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (1311) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1318)   ~ (all_4_5 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1311) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | |   (1319)   ~ (all_4_20 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1320)   ~ (all_8_49 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1312), (1320) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1321)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1321) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1322)  all_8_48 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (1322) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1323)  all_4_20 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1323) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1324)  all_10_16 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (1323) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1325)   ~ (all_4_21 = e4)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | SIMP: (1325) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1326)   ~ (all_4_21 = e4)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1306), (1323) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1327)   ~ (e4 = e0)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (1323) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | |   (1328)  op(e0, e4) = all_8_36
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | |   (1329)  all_6_6 = e1
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (576), (1329) are inconsistent by sub-proof
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | |            #81.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | |   (1330)   ~ (all_6_6 = e1)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | |   (1331)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1332)  all_6_9 = e1
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (558), (1332) are inconsistent by sub-proof
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | |            #49.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1333)   ~ (all_6_9 = e1)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | |   (1334)  all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 |
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_9 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1335)  all_6_17 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (1335) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1336)  all_4_13 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1336) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1337)  all_4_13 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1337) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | |   (1338)  all_10_14 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1331) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1339)  all_6_6 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (568), (1339) are inconsistent by sub-proof
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | |            #80.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1340)   ~ (all_6_6 = e4)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1341)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1334) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1342)  all_6_9 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1342) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1343)  all_4_21 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1343) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1344)  all_4_21 = e4
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1326), (1344) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1345)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1345) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1346)   ~ (all_6_9 = e4)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1347)  all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1347) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1348)  all_6_9 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1348) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1349)  all_4_21 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1349) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1350)  all_4_21 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1350) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1351)   ~ (all_4_1 = e2)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1350) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1352)   ~ (all_4_6 = e2)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (1350) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1353)   ~ (all_4_16 = e2)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1326), (1350) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1354)   ~ (e4 = e2)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (1350) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1355)   ~ (e2 = e1)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (1350) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1356)  op(e0, e2) = all_8_38
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1341) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1357)  all_6_6 = e2
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1352), (1357) are inconsistent by
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #79.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1358)   ~ (all_6_6 = e2)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1359)  all_6_6 = e3 | all_6_6 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1359) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1360)  all_6_6 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1360) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1361)  all_4_6 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1361) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1362)  all_4_6 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1362) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1363)   ~ (all_4_5 = e3)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1362) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1364)   ~ (all_4_8 = e3)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1364) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1365)   ~ (all_4_8 = e3)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (1362) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1366)   ~ (e4 = e3)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1367)  all_10_0 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1310), (1367) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1368)  e3 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1368) implies:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1369)  e3 = e0
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1369) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1370)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1370) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1371)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_16 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1372)  all_10_1 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1372) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1373)  all_4_5 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1363), (1373) imply:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1374)  $false
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1374) is inconsistent.
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1375)   ~ (all_10_1 = e3)
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1376)  all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1376) gives:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.68  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1377)  all_10_4 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1377) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1378)  e3 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1378) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1379)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1379) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1380)  all_10_9 = e3 | all_10_16 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1380) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1381)  all_10_9 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1382)  all_10_0 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (1310), (1382) are inconsistent by
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #30.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1383)  all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_16 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1383) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1384)  all_10_1 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1384) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1385)  all_4_5 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1385) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1386)   ~ (all_4_8 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1386) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1387)   ~ (all_4_8 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1363), (1385) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1388)   ~ (e3 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1389)  all_6_16 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (465), (555), (1389) are inconsistent by sub-proof
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #75.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1390)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1390) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1391)  all_6_16 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (1391) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1392)  all_4_8 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1392) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1393)  all_4_8 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1393) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1394)   ~ (all_4_3 = e4)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1395)  all_6_15 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (554), (1395) are inconsistent by sub-proof
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1396)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1396) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1397)  all_6_15 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (1394), (1397) are inconsistent by
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #76.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1398)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1399)  all_10_20 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (326), (1399) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1400)  all_4_4 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1400) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1401)  all_4_4 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1401) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1402)   ~ (all_4_19 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1402) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1403)   ~ (all_4_19 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1278), (1401) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1404)   ~ (e4 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1401) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1405)  op(e0, e4) = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (283) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1406)  all_10_20 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1399), (1406) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1407)  e2 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1407) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1408)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1408) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1409)  all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1409) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1410)  all_10_21 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1259), (1410) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1411)  e2 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (1411) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1412)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1412) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1413)  all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1413) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1414)  all_10_22 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1277), (1414) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1415)  e4 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1415) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1416)  e4 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1416) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1417)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1417) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1418)  all_10_23 = e2 | all_10_24 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1418) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1419)  all_10_23 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (1419) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1420)  all_4_19 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1421)  all_4_19 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (1421) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1422)  all_8_42 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (1421) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1423)  op(e0, e2) = all_8_35
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_40,
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_17, e0, e0, simplifying with (1269), (1309)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1424)  all_8_17 = all_8_40
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_17,
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e0, e0, simplifying with (1269), (1270) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1425)  all_8_17 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_38,
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_35, e2, e0, simplifying with (1356), (1423)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1426)  all_8_35 = all_8_38
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_35,
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e0, simplifying with (1281), (1423) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1427)  all_8_35 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_36,
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_26, e4, e0, simplifying with (1280), (1328)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1428)  all_8_26 = all_8_36
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_26,
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e0, simplifying with (1280), (1405) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1429)  all_8_26 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1424), (1425) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1430)  all_8_40 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1430) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1431)  all_8_40 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1428), (1429) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1432)  all_8_36 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1432) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1433)  all_8_36 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1426), (1427) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1434)  all_8_38 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1434) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1435)  all_8_38 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1436)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 =
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_39 = e0))
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1436) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1437)  all_8_36 = e4 &  ~ (all_8_37 = e0)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1437) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1438)  all_8_36 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1433), (1438) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1439)  e4 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1439) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1440)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1440) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1441)  all_8_38 = e3 &  ~ (all_8_39 = e0)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1442)  all_8_38 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1435), (1442) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1443)  e4 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1443) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1444)  e4 = e3
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1444) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1445)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1445) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1446)  (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 =
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e1 &  ~ (all_8_43 = e0))
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1446) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1447)  all_8_40 = e2 &  ~ (all_8_41 = e0)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1447) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1448)  all_8_40 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1431), (1448) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1449)  e3 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1449) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1450)  e3 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1450) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1451)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1451) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1452)  all_8_42 = e1 &  ~ (all_8_43 = e0)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1452) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1453)  all_8_42 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1422), (1453) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1454)  e2 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1454) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1455)  e2 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1455) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1456)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1456) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1457)  all_10_24 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1258), (1457) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1458)  e3 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1458) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1459)  e3 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1459) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1460)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1460) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1461)   ~ (all_10_20 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (326), (1461) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1462)   ~ (all_4_4 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1463)  all_10_12 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1463) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1464)  all_4_3 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1464) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1465)  all_4_3 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1465) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1466)   ~ (all_4_4 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1466) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1467)   ~ (all_4_4 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1468)  all_6_20 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (1462), (1468) are inconsistent by
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1469)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (492), (1278), (1317), (1467), (1469) are
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1470)   ~ (all_10_12 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (341), (463), (490), (501), (1398), (1470) are
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #41.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1471)   ~ (all_6_16 = e4)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (1471) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1472)   ~ (all_4_8 = e4)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1473)  all_10_12 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (1473) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1474)  all_4_3 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1474) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1475)  all_4_3 = e4
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1475) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1476)   ~ (all_4_1 = e4)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1475) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1477)   ~ (all_4_4 = e4)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (291) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1478)  all_10_9 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1381), (1478) are inconsistent by sub-proof
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #28.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1479)  all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1480)  all_10_10 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1480) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1481)  all_4_16 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1481) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1482)  all_4_16 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1353), (1482) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1483)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1483) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1484)  all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1485)  all_6_5 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1485) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1486)  all_4_1 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1486) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1487)  all_4_1 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1487) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1488)   ~ (all_4_4 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1488) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1489)   ~ (all_4_4 = e1)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1490)  all_6_20 = e1
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (1489), (1490) are inconsistent by
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #29.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1491)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1484) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1492)  all_10_11 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (347), (1492) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1493)  all_4_17 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1493) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1494)  all_4_17 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (1494) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1495)  $false
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1495) is inconsistent.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1496)  all_10_15 = e2 | all_10_23 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1496) gives:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1497)  all_10_15 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (332), (597), (1497) are inconsistent by sub-proof
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #27.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1498)  all_10_23 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (1498) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1499)  all_4_19 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1499) implies:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1500)  all_4_19 = e2
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1500) imply:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1501)   ~ (all_4_4 = e2)
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (492), (1278), (1317), (1491), (1501) are
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1502)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (488), (1314), (1351), (1476), (1502) are
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #42.
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.69  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1503)  all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 |
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e4
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (332), (338), (553), (1327), (1338),
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (1472), (1503) are inconsistent by sub-proof #65.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1504)  all_10_4 = e2 | all_10_9 = e2 | all_10_16 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1504) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1505)  all_10_4 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1505) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1506)  e2 = e1
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1355), (1506) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1507)  $false
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1507) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1508)  all_10_9 = e2 | all_10_16 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1509)  all_10_9 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (1381), (1509) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #28.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1510)  all_10_16 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1324), (1510) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1511)  e4 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1511) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1512)  $false
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1512) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1513)  all_10_16 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1324), (1513) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1514)  e4 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1514) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1515)  $false
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1515) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1516)  all_6_6 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1261), (1516) are inconsistent by
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1517)  all_6_9 = e3 | all_6_9 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (1268), (1307), (1517) are inconsistent by
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #47.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1518)  all_6_17 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (512), (1518) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | |            #31.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | |   (1519)   ~ (all_10_0 = e0)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | |   (1520)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | |           all_10_16 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | REDUCE: (388), (1519) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | |   (1521)   ~ (all_4_0 = e0)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | |   (1522)  all_6_0 = e1
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (1522) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | |            #78.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | |   (1523)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | |           all_6_0 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1523) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1524)  all_6_0 = e4
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1524) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1525)  all_4_0 = e4
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1525) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1526)  all_4_0 = e4
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1526) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1527)   ~ (all_4_15 = e4)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1527) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1528)   ~ (all_4_15 = e4)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1526) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1529)   ~ (all_4_20 = e4)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1529) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1530)   ~ (all_4_20 = e4)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | |   (1531)  all_6_4 = e1
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (557), (1531) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | |            #26.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | |   (1532)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1533)  all_10_1 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1533) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1534)  all_4_5 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1260), (1534) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1535)  $false
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1535) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | |   (1536)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1536) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1537)  all_10_4 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (382), (562), (1537) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | |            #62.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1538)  all_10_9 = e0 | all_10_16 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1539)  all_6_4 = e4
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1530), (1539) are inconsistent by
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1540)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1540) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1541)  all_6_4 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1541) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1542)  all_4_20 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1542) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1543)  all_4_20 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1543) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1544)  all_10_16 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1543) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1545)   ~ (all_4_15 = e2)
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1546)  all_6_3 = e1
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (511), (1546) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #24.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1547)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1547) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1548)  all_6_3 = e4
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1528), (1548) are inconsistent by
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1549)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1549) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1550)  all_6_3 = e2
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1545), (1550) are inconsistent by
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #22.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1551)  all_6_3 = e3 | all_6_3 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1552)  all_6_3 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1552) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1553)  all_4_15 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1553) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1554)  all_4_15 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1554) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1555)  all_10_9 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1538) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1556)  all_10_9 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1555), (1556) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1557)  e3 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1557) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1558)  e3 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1558) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1559)  $false
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1559) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1560)  all_10_16 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1544), (1560) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1561)  e2 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (1561) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1562)  $false
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1562) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1563)  all_6_3 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (513), (1563) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #21.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1564)  all_6_4 = e3 | all_6_4 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1564) gives:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1565)  all_6_4 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1565) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1566)  all_4_20 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1566) implies:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1567)  all_4_20 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1567) imply:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1568)  all_10_16 = e3
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (378), (513), (1538), (1568) are inconsistent
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            by sub-proof #61.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1569)  all_6_4 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1306), (1569) are inconsistent by
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #20.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |   (1570)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (1521), (1570) are
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | |   (1571)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REF_CLOSE: (473), (592), (1264), (1266), (1571) are
% 42.89/6.70  | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | |   (1572)  all_6_12 = e3 | all_6_12 = e0
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | REF_CLOSE: (462), (496), (578), (1572) are inconsistent by
% 42.89/6.70  | | | | | | | | | |            sub-proof #18.
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | | 
% 42.89/6.70  | | | | | | | | End of split
% 42.89/6.70  | | | | | | | | 
% 42.89/6.70  | | | | | | | End of split
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | Case 2:
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | |   (1573)  all_8_59 = e0
% 42.89/6.70  | | | | | | |   (1574)  all_8_58 = e2
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | COMBINE_EQS: (425), (1574) imply:
% 42.89/6.70  | | | | | | |   (1575)  all_4_22 = e2
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | SIMP: (1575) implies:
% 42.89/6.70  | | | | | | |   (1576)  all_4_22 = e2
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | COMBINE_EQS: (406), (1573) imply:
% 42.89/6.70  | | | | | | |   (1577)  all_4_12 = e0
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | COMBINE_EQS: (344), (1576) imply:
% 42.89/6.70  | | | | | | |   (1578)  all_10_18 = e2
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | COMBINE_EQS: (350), (1577) imply:
% 42.89/6.70  | | | | | | |   (1579)  all_10_8 = e0
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (66), (1577) imply:
% 42.89/6.70  | | | | | | |   (1580)   ~ (all_4_7 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (52), (1577) imply:
% 42.89/6.70  | | | | | | |   (1581)   ~ (all_4_11 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (47), (1577) imply:
% 42.89/6.70  | | | | | | |   (1582)   ~ (all_4_13 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (45), (1577) imply:
% 42.89/6.70  | | | | | | |   (1583)   ~ (all_4_17 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (570), (1577) imply:
% 42.89/6.70  | | | | | | |   (1584)   ~ (e4 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | SIMP: (1584) implies:
% 42.89/6.70  | | | | | | |   (1585)   ~ (e4 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (507), (1577) imply:
% 42.89/6.70  | | | | | | |   (1586)   ~ (e1 = e0)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (27), (1576) imply:
% 42.89/6.70  | | | | | | |   (1587)   ~ (all_4_17 = e2)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (23), (1576) imply:
% 42.89/6.70  | | | | | | |   (1588)   ~ (all_4_20 = e2)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (16), (1576) imply:
% 42.89/6.70  | | | | | | |   (1589)   ~ (all_4_24 = e2)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | SIMP: (1589) implies:
% 42.89/6.70  | | | | | | |   (1590)   ~ (all_4_24 = e2)
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (534), (1576) imply:
% 42.89/6.70  | | | | | | |   (1591)  op(e2, e2) = all_8_41
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | REDUCE: (124), (1577) imply:
% 42.89/6.70  | | | | | | |   (1592)  op(e2, e2) = e0
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_41,
% 42.89/6.70  | | | | | | |              e2, e2, simplifying with (1591), (1592) gives:
% 42.89/6.70  | | | | | | |   (1593)  all_8_41 = e0
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | BETA: splitting (244) gives:
% 42.89/6.70  | | | | | | | 
% 42.89/6.70  | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | 
% 42.89/6.70  | | | | | | | |   (1594)   ~ (all_8_69 = e3)
% 42.89/6.70  | | | | | | | | 
% 42.89/6.70  | | | | | | | | REDUCE: (312), (1594) imply:
% 42.89/6.70  | | | | | | | |   (1595)   ~ (all_4_24 = e3)
% 42.89/6.70  | | | | | | | | 
% 42.89/6.70  | | | | | | | | BETA: splitting (245) gives:
% 42.89/6.70  | | | | | | | | 
% 42.89/6.70  | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | 
% 42.89/6.70  | | | | | | | | |   (1596)   ~ (all_8_69 = e4)
% 42.89/6.70  | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | REDUCE: (312), (1596) imply:
% 42.89/6.70  | | | | | | | | |   (1597)   ~ (all_4_24 = e4)
% 42.89/6.70  | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | BETA: splitting (162) gives:
% 42.89/6.70  | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | |   (1598)  all_6_24 = e1
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | REF_CLOSE: (476), (561), (1598) are inconsistent by sub-proof
% 42.89/6.70  | | | | | | | | | |            #71.
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | |   (1599)  all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 |
% 42.89/6.70  | | | | | | | | | |           all_6_24 = e0
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | BETA: splitting (1599) gives:
% 42.89/6.70  | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | |   (1600)  all_6_24 = e4
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | REF_CLOSE: (476), (1597), (1600) are inconsistent by
% 42.89/6.70  | | | | | | | | | | |            sub-proof #70.
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | |   (1601)  all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | BETA: splitting (1601) gives:
% 42.89/6.70  | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | |   (1602)  all_6_24 = e2
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | COMBINE_EQS: (476), (1602) imply:
% 42.89/6.70  | | | | | | | | | | | |   (1603)  all_4_24 = e2
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | SIMP: (1603) implies:
% 42.89/6.70  | | | | | | | | | | | |   (1604)  all_4_24 = e2
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | REDUCE: (1590), (1604) imply:
% 42.89/6.70  | | | | | | | | | | | |   (1605)  $false
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | CLOSE: (1605) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | |   (1606)  all_6_24 = e3 | all_6_24 = e0
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | BETA: splitting (1606) gives:
% 42.89/6.70  | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | |   (1607)  all_6_24 = e3
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | COMBINE_EQS: (476), (1607) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1608)  all_4_24 = e3
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | SIMP: (1608) implies:
% 42.89/6.70  | | | | | | | | | | | | |   (1609)  all_4_24 = e3
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REDUCE: (1595), (1609) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1610)  $false
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | CLOSE: (1610) is inconsistent.
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | Case 2:
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | |   (1611)  all_6_24 = e0
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | COMBINE_EQS: (476), (1611) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1612)  all_4_24 = e0
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | SIMP: (1612) implies:
% 42.89/6.70  | | | | | | | | | | | | |   (1613)  all_4_24 = e0
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | COMBINE_EQS: (483), (1613) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1614)  all_10_24 = e0
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REDUCE: (82), (1613) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1615)   ~ (all_4_4 = e0)
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REDUCE: (57), (1613) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1616)   ~ (all_4_9 = e0)
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REDUCE: (25), (1613) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1617)   ~ (all_4_19 = e0)
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REDUCE: (18), (1613) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1618)   ~ (all_4_21 = e0)
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | REDUCE: (1595), (1613) imply:
% 42.89/6.70  | | | | | | | | | | | | |   (1619)   ~ (e3 = e0)
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | BETA: splitting (253) gives:
% 42.89/6.70  | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | |   (1620)   ~ (all_8_49 = e0)
% 42.89/6.70  | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | REDUCE: (390), (1620) imply:
% 42.89/6.70  | | | | | | | | | | | | | |   (1621)   ~ (all_4_0 = e0)
% 42.89/6.70  | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 42.89/6.70  | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | Case 1:
% 42.89/6.70  | | | | | | | | | | | | | | | 
% 42.89/6.70  | | | | | | | | | | | | | | |   (1622)  all_6_0 = e1
% 42.89/6.70  | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (1622) are inconsistent by sub-proof
% 42.89/6.71  | | | | | | | | | | | | | | |            #78.
% 42.89/6.71  | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | |   (1623)   ~ (all_6_0 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | |   (1624)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | |           all_6_0 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | |   (1625)  all_10_0 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1625) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | |   (1626)  all_4_0 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | REDUCE: (1621), (1626) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | |   (1627)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | CLOSE: (1627) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | |   (1628)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 42.89/6.71  | | | | | | | | | | | | | | | |           all_10_20 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | BETA: splitting (1628) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | |   (1629)  all_10_2 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1629) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | |   (1630)  all_4_1 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | REDUCE: (102), (1630) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | |   (1631)   ~ (all_4_3 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | REDUCE: (101), (1630) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | |   (1632)   ~ (all_4_4 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | REDUCE: (100), (1630) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | |   (1633)   ~ (all_4_6 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | SIMP: (1633) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | |   (1634)   ~ (all_4_6 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | |   (1635)  all_10_1 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1635) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | |   (1636)  all_4_5 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | REDUCE: (76), (1636) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | |   (1637)   ~ (all_4_15 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | REDUCE: (75), (1636) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | |   (1638)   ~ (all_4_20 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | SIMP: (1638) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | |   (1639)   ~ (all_4_20 = e0)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | REDUCE: (135), (1636) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | |   (1640)  op(e4, e3) = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1641)  all_6_0 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (1641) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1642)  all_4_0 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | SIMP: (1642) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1643)  all_4_0 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1643) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1644)   ~ (all_4_3 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | SIMP: (1644) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1645)   ~ (all_4_3 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | REDUCE: (108), (1643) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1646)   ~ (all_4_4 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | SIMP: (1646) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1647)   ~ (all_4_4 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | REDUCE: (105), (1643) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1648)   ~ (all_4_15 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | SIMP: (1648) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1649)   ~ (all_4_15 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1643) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1650)   ~ (all_4_20 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | SIMP: (1650) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | |   (1651)   ~ (all_4_20 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | |   (1652)  all_6_4 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (557), (1652) are inconsistent by sub-proof
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | |            #26.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | |   (1653)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | |   (1654)  all_6_4 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1651), (1654) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | |   (1655)   ~ (all_6_4 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | |   (1656)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1656) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | |   (1657)  all_6_4 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1588), (1657) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #17.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | |   (1658)  all_6_4 = e3 | all_6_4 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | |   (1659)  all_10_16 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1659) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | |   (1660)  all_4_20 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1651), (1660) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | |   (1661)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1661) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | |   (1662)  all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1662) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1663)  all_10_17 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (1663) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1664)  all_4_21 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (541), (1664) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1665)  op(e0, e4) = all_8_38
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1666)  all_10_16 = e3
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1666) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1667)  all_4_20 = e3
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1667) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1668)   ~ (all_4_15 = e3)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (1667) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1669)  op(e4, e3) = all_8_37
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1670)  all_6_3 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (511), (1670) are inconsistent by sub-proof
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | |            #24.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1671)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1672)  all_6_3 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1649), (1672) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1673)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1673) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1674)  all_6_3 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1674) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1675)  all_4_15 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1675) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1676)  all_4_15 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1676) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1677)   ~ (all_4_17 = e2)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1676) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1678)   ~ (all_4_19 = e2)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1678) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1679)   ~ (all_4_19 = e2)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1680)  all_6_15 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (554), (1680) are inconsistent by sub-proof
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1681)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1681) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1682)  all_6_15 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (1645), (1682) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #76.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1683)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1684)  all_6_15 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1684) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1685)  all_4_3 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1685) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1686)  all_4_3 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1686) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1687)   ~ (all_4_4 = e2)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1688)   ~ (all_4_4 = e2)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1689)  all_6_20 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (1689) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1690)  all_4_4 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1691)  all_4_4 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1691) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1692)   ~ (all_4_9 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1692) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1693)   ~ (all_4_9 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1691) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1694)   ~ (all_4_19 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1694) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1695)   ~ (all_4_19 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1691) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1696)  op(e0, e4) = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1697)  all_10_1 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1635), (1697) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1698)  e1 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1699)  e1 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1699) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1700)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1700) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1701)  all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_21 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1701) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1702)  all_10_3 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1702) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1703)  all_4_6 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1703) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1704)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1704) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1705)  all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1705) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1706)  all_10_7 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (1706) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1707)  all_4_7 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1707) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1708)   ~ (all_4_17 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1708) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1709)   ~ (all_4_17 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1710)  all_6_13 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (1709), (1710) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #72.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1711)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_13 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1711) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1712)  all_6_13 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1712) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1713)  all_4_17 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1713) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1714)  all_4_17 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (1714) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1715)   ~ (all_4_19 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1715) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1716)   ~ (all_4_19 = e4)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1717)  all_6_23 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1695), (1717) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #16.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1718)   ~ (all_6_23 = e1)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1719)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_23 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1719) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1720)  all_6_23 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1720) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1721)  all_4_19 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1721) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1722)  all_4_19 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1716), (1722) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1723)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1723) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1724)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1724) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1725)  all_6_23 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1725) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1726)  all_4_19 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1726) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1727)  all_4_19 = e2
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1679), (1727) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1728)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1728) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1729)  all_6_23 = e3 | all_6_23 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1730)  all_6_23 = e3
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1730) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1731)  all_4_19 = e3
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1731) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1732)  all_4_19 = e3
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (571), (1732) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1733)  all_8_42 = e3
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_38,
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e0, simplifying with (1665), (1696) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1734)  all_8_38 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_37,
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e3, e4, simplifying with (1640), (1669) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1735)  all_8_37 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (239), (1593), (1733), (1734), (1735) are
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #48.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1736)  all_6_23 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1736) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1737)  all_4_19 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1737) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1738)  all_4_19 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1617), (1738) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1739)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1739) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1740)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (460), (498), (515), (1587), (1740) are
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1741)  all_10_13 = e1 | all_10_21 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1741) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1742)  all_10_13 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (338), (555), (1742) are inconsistent by sub-proof
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #15.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1743)  all_10_21 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (1743) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1744)  all_4_9 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1744) implies:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1745)  all_4_9 = e1
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1693), (1745) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1746)  $false
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1746) is inconsistent.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1747)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (492), (1615), (1647), (1688), (1747) are
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1748)  all_6_15 = e3 | all_6_15 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (490), (501), (1748) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1749)  all_6_3 = e3 | all_6_3 = e0
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (513), (1668), (1749) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1750)   ~ (all_10_16 = e3)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (1750) imply:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1751)   ~ (all_4_20 = e3)
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1639), (1658), (1751) are inconsistent by
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | |   (1752)  all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1752) gives:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | |   (1753)  all_10_18 = e4
% 42.89/6.71  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1578), (1753) are inconsistent by sub-proof
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | |            #12.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | |   (1754)  all_10_19 = e4 | all_10_24 = e4
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1754) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1755)  all_10_19 = e4
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (1755) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1756)  e4 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1756) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1757)  e4 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1757) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1758)  $false
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1758) is inconsistent.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1759)  all_10_24 = e4
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1614), (1759) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1760)  e4 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1760) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1761)  e4 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1585), (1761) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1762)  $false
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1762) is inconsistent.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |   (1763)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (1621), (1763) are
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | |   (1764)  all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 42.89/6.72  | | | | | | | | | | | | | | | | | |           all_10_21 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (323), (338), (353), (369), (503), (1580), (1616),
% 42.89/6.72  | | | | | | | | | | | | | | | | | |            (1634), (1764) are inconsistent by sub-proof #44.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1765)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (326), (341), (357), (501), (1615), (1765)
% 42.89/6.72  | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #32.
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | |   (1766)  all_8_49 = e0
% 42.89/6.72  | | | | | | | | | | | | | |   (1767)  all_8_48 = e4
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | COMBINE_EQS: (421), (1767) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1768)  all_4_20 = e4
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | SIMP: (1768) implies:
% 42.89/6.72  | | | | | | | | | | | | | |   (1769)  all_4_20 = e4
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | COMBINE_EQS: (390), (1766) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1770)  all_4_0 = e0
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | SIMP: (1770) implies:
% 42.89/6.72  | | | | | | | | | | | | | |   (1771)  all_4_0 = e0
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | COMBINE_EQS: (375), (1769) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1772)  all_10_16 = e4
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | REDUCE: (111), (1771) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1773)   ~ (all_4_1 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | SIMP: (1773) implies:
% 42.89/6.72  | | | | | | | | | | | | | |   (1774)   ~ (all_4_1 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | REDUCE: (520), (1769) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1775)  op(e4, e4) = all_8_37
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | REDUCE: (136), (1771) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1776)  op(e4, e4) = e0
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | |   (1777)  all_10_16 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | COMBINE_EQS: (1772), (1777) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1778)  e4 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | REDUCE: (9), (1778) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1779)  $false
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | CLOSE: (1779) is inconsistent.
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | |   (1780)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 42.89/6.72  | | | | | | | | | | | | | | |           all_10_24 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1781)  all_10_17 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (1781) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1782)  all_4_21 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | REDUCE: (48), (1782) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1783)   ~ (all_4_11 = e3)
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | REDUCE: (528), (1782) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1784)  op(e3, e3) = all_8_39
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1785)   ~ (all_8_54 = e2)
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | REDUCE: (395), (1785) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1786)   ~ (all_4_6 = e2)
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | |   (1787)  all_6_6 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (576), (1787) are inconsistent by sub-proof
% 42.89/6.72  | | | | | | | | | | | | | | | | | |            #81.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | |   (1788)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 42.89/6.72  | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | BETA: splitting (1788) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |   (1789)  all_6_6 = e4
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (568), (1789) are inconsistent by sub-proof
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |            #80.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |   (1790)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (1790) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1791)  all_6_6 = e2
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1786), (1791) are inconsistent by
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |            sub-proof #79.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1792)  all_6_6 = e3 | all_6_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1792) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1793)  all_6_6 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1793) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1794)  all_4_6 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1795)  all_4_6 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1795) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1796)  all_10_3 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (127), (239), (300), (360), (363), (366),
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |            (372), (514), (528), (572), (1581), (1593),
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |            (1774), (1775), (1776), (1796), (function-axioms)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #11.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1797)  all_6_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1797) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1798)  all_4_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | SIMP: (1798) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1799)  all_4_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (1799) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1800)  op(e3, e3) = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_39,
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (1784), (1800) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1801)  all_8_39 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_37,
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |              e4, e4, simplifying with (1775), (1776) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1802)  all_8_37 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (239), (572), (1593), (1801), (1802) are
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1803)  all_8_51 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1803) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1804)  all_4_11 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | SIMP: (1804) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1805)  all_4_11 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | REDUCE: (1783), (1805) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1806)  $false
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | CLOSE: (1806) is inconsistent.
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1807)  all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | REF_CLOSE: (5), (344), (483), (500), (553), (1595), (1807)
% 42.89/6.72  | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #57.
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | End of split
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | |   (1808)  all_8_69 = e4
% 42.89/6.72  | | | | | | | | |   (1809)  all_8_65 = e0
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | COMBINE_EQS: (429), (1809) imply:
% 42.89/6.72  | | | | | | | | |   (1810)  all_4_4 = e0
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | SIMP: (1810) implies:
% 42.89/6.72  | | | | | | | | |   (1811)  all_4_4 = e0
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | COMBINE_EQS: (312), (1808) imply:
% 42.89/6.72  | | | | | | | | |   (1812)  all_4_24 = e4
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | COMBINE_EQS: (483), (1812) imply:
% 42.89/6.72  | | | | | | | | |   (1813)  all_10_24 = e4
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (108), (1811) imply:
% 42.89/6.72  | | | | | | | | |   (1814)   ~ (all_4_0 = e0)
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (101), (1811) imply:
% 42.89/6.72  | | | | | | | | |   (1815)   ~ (all_4_1 = e0)
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (85), (1811) imply:
% 42.89/6.72  | | | | | | | | |   (1816)   ~ (all_4_9 = e0)
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | SIMP: (1816) implies:
% 42.89/6.72  | | | | | | | | |   (1817)   ~ (all_4_9 = e0)
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (39), (1812) imply:
% 42.89/6.72  | | | | | | | | |   (1818)   ~ (all_4_14 = e4)
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (524), (1811) imply:
% 42.89/6.72  | | | | | | | | |   (1819)  op(e4, e0) = all_8_7
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (544), (1811) imply:
% 42.89/6.72  | | | | | | | | |   (1820)  op(e0, e0) = all_8_8
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | REDUCE: (112), (1812) imply:
% 42.89/6.72  | | | | | | | | |   (1821)  op(e0, e0) = e4
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | BETA: splitting (182) gives:
% 42.89/6.72  | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | |   (1822)  all_6_0 = e1
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | REF_CLOSE: (448), (487), (1822) are inconsistent by sub-proof
% 42.89/6.72  | | | | | | | | | |            #78.
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | |   (1823)   ~ (all_6_0 = e1)
% 42.89/6.72  | | | | | | | | | |   (1824)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.89/6.72  | | | | | | | | | |           all_6_0 = e0
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | BETA: splitting (1824) gives:
% 42.89/6.72  | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | |   (1825)  all_6_0 = e4
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | COMBINE_EQS: (448), (1825) imply:
% 42.89/6.72  | | | | | | | | | | |   (1826)  all_4_0 = e4
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | SIMP: (1826) implies:
% 42.89/6.72  | | | | | | | | | | |   (1827)  all_4_0 = e4
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | COMBINE_EQS: (388), (1827) imply:
% 42.89/6.72  | | | | | | | | | | |   (1828)  all_10_0 = e4
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | REDUCE: (111), (1827) imply:
% 42.89/6.72  | | | | | | | | | | |   (1829)   ~ (all_4_1 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | SIMP: (1829) implies:
% 42.89/6.72  | | | | | | | | | | |   (1830)   ~ (all_4_1 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | REDUCE: (109), (1827) imply:
% 42.89/6.72  | | | | | | | | | | |   (1831)   ~ (all_4_3 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | SIMP: (1831) implies:
% 42.89/6.72  | | | | | | | | | | |   (1832)   ~ (all_4_3 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | REDUCE: (107), (1827) imply:
% 42.89/6.72  | | | | | | | | | | |   (1833)   ~ (all_4_5 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | SIMP: (1833) implies:
% 42.89/6.72  | | | | | | | | | | |   (1834)   ~ (all_4_5 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | REDUCE: (105), (1827) imply:
% 42.89/6.72  | | | | | | | | | | |   (1835)   ~ (all_4_15 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | SIMP: (1835) implies:
% 42.89/6.72  | | | | | | | | | | |   (1836)   ~ (all_4_15 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | REDUCE: (104), (1827) imply:
% 42.89/6.72  | | | | | | | | | | |   (1837)   ~ (all_4_20 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | SIMP: (1837) implies:
% 42.89/6.72  | | | | | | | | | | |   (1838)   ~ (all_4_20 = e4)
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | BETA: splitting (169) gives:
% 42.89/6.72  | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | |   (1839)  all_6_15 = e1
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | REF_CLOSE: (463), (554), (1839) are inconsistent by sub-proof
% 42.89/6.72  | | | | | | | | | | | |            #77.
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | |   (1840)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 42.89/6.72  | | | | | | | | | | | |           all_6_15 = e0
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | BETA: splitting (1840) gives:
% 42.89/6.72  | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | |   (1841)  all_6_15 = e4
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | REF_CLOSE: (463), (1832), (1841) are inconsistent by
% 42.89/6.72  | | | | | | | | | | | | |            sub-proof #76.
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | |   (1842)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | BETA: splitting (308) gives:
% 42.89/6.72  | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | |   (1843)  all_10_0 = e1
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | COMBINE_EQS: (1828), (1843) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1844)  e4 = e1
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | REDUCE: (7), (1844) imply:
% 42.89/6.72  | | | | | | | | | | | | | |   (1845)  $false
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | CLOSE: (1845) is inconsistent.
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | |   (1846)  all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 42.89/6.72  | | | | | | | | | | | | | |           all_10_20 = e1
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 42.89/6.72  | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | |   (1847)  all_10_2 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1847) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1848)  all_4_1 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | REDUCE: (100), (1848) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1849)   ~ (all_4_6 = e1)
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | REDUCE: (98), (1848) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1850)   ~ (all_4_16 = e1)
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | SIMP: (1850) implies:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1851)   ~ (all_4_16 = e1)
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | REDUCE: (1830), (1848) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1852)   ~ (e4 = e1)
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | REDUCE: (521), (1848) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1853)  op(e4, e1) = all_8_1
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | REDUCE: (526), (1848) imply:
% 42.89/6.72  | | | | | | | | | | | | | | |   (1854)  op(e3, e1) = all_8_2
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | BETA: splitting (1842) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1855)  all_6_15 = e2
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1855) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1856)  all_4_3 = e2
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | SIMP: (1856) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1857)  all_4_3 = e2
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | REDUCE: (88), (1857) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1858)   ~ (all_4_13 = e2)
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | SIMP: (1858) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1859)   ~ (all_4_13 = e2)
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | REDUCE: (501), (1857) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1860)   ~ (e2 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | REDUCE: (537), (1857) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1861)  op(e1, e2) = all_8_6
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_8,
% 42.89/6.72  | | | | | | | | | | | | | | | |              e0, e0, simplifying with (1820), (1821) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1862)  all_8_8 = e4
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13,
% 42.89/6.72  | | | | | | | | | | | | | | | |              all_8_6, e2, e1, simplifying with (119), (1861)
% 42.89/6.72  | | | | | | | | | | | | | | | |              gives:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1863)  all_8_6 = all_4_13
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 42.89/6.72  | | | | | | | | | | | | | | | |              all_8_2, e1, e3, simplifying with (128), (1854)
% 42.89/6.72  | | | | | | | | | | | | | | | |              gives:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1864)  all_8_2 = all_4_16
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_20,
% 42.89/6.72  | | | | | | | | | | | | | | | |              all_8_7, e0, e4, simplifying with (132), (1819)
% 42.89/6.72  | | | | | | | | | | | | | | | |              gives:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1865)  all_8_7 = all_4_20
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 42.89/6.72  | | | | | | | | | | | | | | | |              all_8_1, e1, e4, simplifying with (133), (1853)
% 42.89/6.72  | | | | | | | | | | | | | | | |              gives:
% 42.89/6.72  | | | | | | | | | | | | | | | |   (1866)  all_8_1 = all_4_15
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1867)   ~ (all_8_54 = e2)
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | REDUCE: (395), (1867) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | |   (1868)   ~ (all_4_6 = e2)
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | |   (1869)   ~ (all_8_54 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | REDUCE: (395), (1869) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | |   (1870)   ~ (all_4_6 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |   (1871)  all_6_6 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (576), (1871) are inconsistent by sub-proof
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |            #81.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |   (1872)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 42.89/6.72  | | | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1873)  all_10_1 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (1873) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1874)  all_4_5 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1874) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1875)  all_8_3 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1874) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1876)   ~ (all_4_6 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1874) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1877)   ~ (all_4_15 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1874) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1878)   ~ (all_4_20 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | SIMP: (1878) implies:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | |   (1879)   ~ (all_4_20 = e0)
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1880)  all_6_4 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1880) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1881)  all_4_20 = e1
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (1881) imply:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1882)  $false
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | CLOSE: (1882) is inconsistent.
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |   (1883)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.72  | | | | | | | | | | | | | | | | | | | | | |   (1884)  all_6_4 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1884) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | |   (1885)  all_4_20 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1838), (1885) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | |   (1886)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1886) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | |   (1887)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1888)  all_6_4 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1888) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1889)  all_4_20 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1588), (1889) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1890)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1890) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1891)  all_6_4 = e3 | all_6_4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1872) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1892)  all_6_6 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (568), (1892) are inconsistent by sub-proof
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | |            #80.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | |   (1893)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1893) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1894)  all_6_6 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1868), (1894) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #79.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | |   (1895)  all_6_6 = e3 | all_6_6 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1891) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1896)  all_6_4 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1896) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1897)  all_4_20 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1897) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1898)  all_4_20 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1865), (1898) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1899)  all_8_7 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1898) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1900)   ~ (all_4_15 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1901)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_3 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_4 = e4))
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1901) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1902)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1902) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1903)  all_8_1 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1866), (1903) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1904)  all_4_15 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1900), (1904) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1905)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1905) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1906)  all_8_3 = e2 &  ~ (all_8_4 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1906) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1907)  all_8_3 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1875), (1907) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1908)  e2 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1908) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1909)  e2 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1860), (1909) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1910)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1910) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1911)  (all_8_5 = e1 &  ~ (all_8_6 = e4)) | (all_8_7 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_8 = e4))
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1911) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1912)  all_8_5 = e1 &  ~ (all_8_6 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1912) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1913)   ~ (all_8_6 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1863), (1913) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1914)   ~ (all_4_13 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1915)  all_6_17 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (556), (1915) are inconsistent by sub-proof
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #39.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1916)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1917)  all_6_3 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1917) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1918)  all_4_15 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (511), (1918) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1919)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1919) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1920)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1921)  all_10_4 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (1921) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1922)  e4 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1922) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1923)  e4 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1923) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1924)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1924) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1925)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1925) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1926)  all_10_5 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1926) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1927)  all_4_11 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1927) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1928)   ~ (all_4_16 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1928) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1929)   ~ (all_4_16 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1895) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1930)  all_6_6 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1930) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1931)  all_4_6 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1931) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1932)  all_4_6 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1932) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1933)   ~ (all_4_16 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1933) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1934)   ~ (all_4_16 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1935)  all_6_8 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1935) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1936)  all_4_16 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1851), (1936) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1937)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1937) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1938)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1920) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1939)  all_6_3 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1836), (1939) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1940)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1940) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1941)  all_6_3 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1941) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1942)  all_4_15 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1942) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1943)  all_4_15 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (1943) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1944)   ~ (all_4_16 = e2)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1944) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1945)   ~ (all_4_16 = e2)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (514), (1929), (1934), (1938), (1945) are
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #9.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1946)  all_6_3 = e3 | all_6_3 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (513), (1900), (1946) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1947)  all_6_6 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1870), (1947) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #55.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1948)  all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1949)  all_6_17 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (1914), (1949) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #38.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1950)   ~ (all_6_17 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1951)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1951) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1952)  all_6_17 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (1859), (1952) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #37.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1953)  all_6_17 = e3 | all_6_17 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1953) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1954)  all_6_17 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (1954) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1955)  all_4_13 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1955) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1956)  all_4_13 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (1956) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1957)  all_10_14 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1914), (1956) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1958)   ~ (e4 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1948) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1959)  all_10_8 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1579), (1585), (1959) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #8.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1960)  all_10_14 = e4 | all_10_22 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1960) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1961)  all_10_14 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1957), (1961) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1962)  e4 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1962) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1963)  e4 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1963) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1964)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1964) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1965)  all_10_22 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1965) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1966)  all_4_14 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1818), (1966) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1967)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1967) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1968)  all_6_17 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (512), (1968) are inconsistent by sub-proof
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #31.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1969)  all_8_7 = e0 &  ~ (all_8_8 = e4)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1969) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1970)  all_8_7 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1899), (1970) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1971)  e3 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1971) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1972)  e3 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1972) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (1973)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1973) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |   (1974)  all_6_4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1879), (1974) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #20.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |   (1975)  all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |           all_10_21 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (323), (338), (353), (369), (503), (1580), (1817),
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |            (1870), (1975) are inconsistent by sub-proof #44.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1976)  all_8_54 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1977)  all_8_53 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (1977) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1978)  all_4_21 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | SIMP: (1978) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1979)  all_4_21 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (1976) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1980)  all_4_6 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | SIMP: (1980) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1981)  all_4_6 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | REDUCE: (24), (1979) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1982)   ~ (all_4_20 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | REDUCE: (528), (1979) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1983)  op(e3, e3) = all_8_39
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | REDUCE: (130), (1981) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (1984)  op(e3, e3) = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |   (1985)  all_10_24 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1813), (1985) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |   (1986)  e4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | REDUCE: (1585), (1986) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |   (1987)  $false
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | CLOSE: (1987) is inconsistent.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |   (1988)  (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |             | all_10_19 = e0) & (all_10_20 = e0 | all_10_21
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |             = e0 | all_10_22 = e0 | all_10_23 = e0)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | ALPHA: (1988) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |   (1989)  all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | |           all_10_19 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |   (1990)  all_6_4 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (557), (1990) are inconsistent by sub-proof
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |            #26.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |   (1991)  all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 |
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | |           all_6_4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | |   (1992)  all_6_4 = e4
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1838), (1992) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | |            sub-proof #25.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | |   (1993)  all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1993) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | |   (1994)  all_6_4 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1588), (1994) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #17.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | |   (1995)  all_6_4 = e3 | all_6_4 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1996)  all_10_16 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1996) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1997)  all_4_20 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (1997) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1998)  op(e4, e0) = all_8_37
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1997) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (1999)  op(e4, e0) = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_39,
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (1983), (1984) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (2000)  all_8_39 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_37,
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |              e0, e4, simplifying with (1998), (1999) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (2001)  all_8_37 = e0
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (239), (572), (1593), (2000), (2001) are
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #35.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (2002)   ~ (all_10_16 = e0)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (375), (2002) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |   (2003)   ~ (all_4_20 = e0)
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1982), (1995), (2003) are inconsistent by
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #13.
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | End of split
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2004)  all_8_54 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2005)  all_8_51 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2005) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2006)  all_4_11 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | SIMP: (2006) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2007)  all_4_11 = e3
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2004) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2008)  all_4_6 = e2
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | REDUCE: (81), (2008) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2009)   ~ (all_4_5 = e2)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | REDUCE: (70), (2008) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2010)   ~ (all_4_16 = e2)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | SIMP: (2010) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2011)   ~ (all_4_16 = e2)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | REDUCE: (51), (2007) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2012)   ~ (all_4_13 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | SIMP: (2012) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2013)   ~ (all_4_13 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | REDUCE: (49), (2007) imply:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2014)   ~ (all_4_16 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | SIMP: (2014) implies:
% 42.89/6.73  | | | | | | | | | | | | | | | | |   (2015)   ~ (all_4_16 = e3)
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 42.89/6.73  | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | |   (2016)  all_6_8 = e1
% 42.89/6.73  | | | | | | | | | | | | | | | | | | 
% 42.89/6.73  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2016) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2017)  all_4_16 = e1
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | REDUCE: (1851), (2017) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2018)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | CLOSE: (2018) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2019)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 42.89/6.74  | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | BETA: splitting (2019) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2020)  all_6_8 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2020) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2021)  all_4_16 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1864), (2021) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2022)  all_8_2 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2023)  (all_8_1 = e3 &  ~ (all_8_2 = e4)) | (all_8_3 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_4 = e4))
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2024)  all_8_1 = e3 &  ~ (all_8_2 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2024) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2025)   ~ (all_8_2 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2022), (2025) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2026)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2026) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2027)  all_8_3 = e2 &  ~ (all_8_4 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2027) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2028)  all_8_3 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (2028) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2029)  all_4_5 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2009), (2029) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2030)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2030) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2031)  (all_8_5 = e1 &  ~ (all_8_6 = e4)) | (all_8_7 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |             &  ~ (all_8_8 = e4))
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2031) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2032)  all_8_5 = e1 &  ~ (all_8_6 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2032) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2033)   ~ (all_8_6 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1863), (2033) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2034)   ~ (all_4_13 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |   (2035)  all_6_17 = e1
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (556), (2035) are inconsistent by sub-proof
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |            #39.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |   (2036)  all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |           all_6_17 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2036) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |   (2037)  all_6_17 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (2034), (2037) are inconsistent by
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #38.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |   (2038)  all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2038) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | |   (2039)  all_6_17 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (1859), (2039) are inconsistent by
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #37.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | |   (2040)  all_6_17 = e3 | all_6_17 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2041)  all_6_17 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (2041) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2042)  all_4_13 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2042) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2043)  all_4_13 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2013), (2043) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2044)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2044) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2045)  all_6_17 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (512), (2045) are inconsistent by sub-proof
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |            #31.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2046)  all_8_7 = e0 &  ~ (all_8_8 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | ALPHA: (2046) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2047)   ~ (all_8_8 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (1862), (2047) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2048)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2048) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2049)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (514), (2011), (2015), (2049) are
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #10.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | |   (2050)  all_6_15 = e3 | all_6_15 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | REF_CLOSE: (463), (490), (501), (2050) are inconsistent by
% 42.89/6.74  | | | | | | | | | | | | | | | |            sub-proof #63.
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | |   (2051)   ~ (all_10_2 = e1)
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | REF_CLOSE: (102), (178), (288), (341), (372), (449), (463),
% 42.89/6.74  | | | | | | | | | | | | | | |            (488), (490), (501), (1815), (1830), (1842),
% 42.89/6.74  | | | | | | | | | | | | | | |            (2051) are inconsistent by sub-proof #40.
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | |   (2052)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (1814), (2052) are
% 42.89/6.74  | | | | | | | | | | |            inconsistent by sub-proof #58.
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | End of split
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | |   (2053)  all_8_69 = e3
% 42.89/6.74  | | | | | | | |   (2054)  all_8_66 = e0
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | COMBINE_EQS: (432), (2054) imply:
% 42.89/6.74  | | | | | | | |   (2055)  all_4_9 = e0
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | SIMP: (2055) implies:
% 42.89/6.74  | | | | | | | |   (2056)  all_4_9 = e0
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | COMBINE_EQS: (312), (2053) imply:
% 42.89/6.74  | | | | | | | |   (2057)  all_4_24 = e3
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | COMBINE_EQS: (483), (2057) imply:
% 42.89/6.74  | | | | | | | |   (2058)  all_10_24 = e3
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | COMBINE_EQS: (323), (2056) imply:
% 42.89/6.74  | | | | | | | |   (2059)  all_10_21 = e0
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | REDUCE: (85), (2056) imply:
% 42.89/6.74  | | | | | | | |   (2060)   ~ (all_4_4 = e0)
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | REDUCE: (78), (2056) imply:
% 42.89/6.74  | | | | | | | |   (2061)   ~ (all_4_5 = e0)
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | REDUCE: (72), (2056) imply:
% 42.89/6.74  | | | | | | | |   (2062)   ~ (all_4_6 = e0)
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | REDUCE: (58), (2056) imply:
% 42.89/6.74  | | | | | | | |   (2063)   ~ (all_4_19 = e0)
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | SIMP: (2063) implies:
% 42.89/6.74  | | | | | | | |   (2064)   ~ (all_4_19 = e0)
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | REDUCE: (25), (2057) imply:
% 42.89/6.74  | | | | | | | |   (2065)   ~ (all_4_19 = e3)
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | REDUCE: (531), (2056) imply:
% 42.89/6.74  | | | | | | | |   (2066)  op(e3, e0) = all_8_16
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | BETA: splitting (303) gives:
% 42.89/6.74  | | | | | | | | 
% 42.89/6.74  | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | |   (2067)  all_10_1 = e1
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | COMBINE_EQS: (385), (2067) imply:
% 42.89/6.74  | | | | | | | | |   (2068)  all_4_5 = e1
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | REDUCE: (502), (2068) imply:
% 42.89/6.74  | | | | | | | | |   (2069)  $false
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | CLOSE: (2069) is inconsistent.
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | |   (2070)  all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 |
% 42.89/6.74  | | | | | | | | |           all_10_21 = e1
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | BETA: splitting (2070) gives:
% 42.89/6.74  | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | |   (2071)  all_10_3 = e1
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | COMBINE_EQS: (369), (2071) imply:
% 42.89/6.74  | | | | | | | | | |   (2072)  all_4_6 = e1
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | REDUCE: (576), (2072) imply:
% 42.89/6.74  | | | | | | | | | |   (2073)  $false
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | CLOSE: (2073) is inconsistent.
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | |   (2074)  all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | BETA: splitting (2074) gives:
% 42.89/6.74  | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | |   (2075)  all_10_7 = e1
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | COMBINE_EQS: (353), (2075) imply:
% 42.89/6.74  | | | | | | | | | | |   (2076)  all_4_7 = e1
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | REDUCE: (529), (2076) imply:
% 42.89/6.74  | | | | | | | | | | |   (2077)  op(e3, e1) = all_8_12
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | BETA: splitting (296) gives:
% 42.89/6.74  | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | |   (2078)  all_10_6 = e4
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | COMBINE_EQS: (357), (2078) imply:
% 42.89/6.74  | | | | | | | | | | | |   (2079)  e4 = e3
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | REDUCE: (9), (2079) imply:
% 42.89/6.74  | | | | | | | | | | | |   (2080)  $false
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | CLOSE: (2080) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | |   (2081)  all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 42.89/6.74  | | | | | | | | | | | |           all_10_18 = e4
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | BETA: splitting (2081) gives:
% 42.89/6.74  | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | |   (2082)  all_10_7 = e4
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | COMBINE_EQS: (2075), (2082) imply:
% 42.89/6.74  | | | | | | | | | | | | |   (2083)  e4 = e1
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | SIMP: (2083) implies:
% 42.89/6.74  | | | | | | | | | | | | |   (2084)  e4 = e1
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | REDUCE: (7), (2084) imply:
% 42.89/6.74  | | | | | | | | | | | | |   (2085)  $false
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | |   (2086)   ~ (all_10_7 = e4)
% 42.89/6.74  | | | | | | | | | | | | |   (2087)  all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | REDUCE: (2075), (2086) imply:
% 42.89/6.74  | | | | | | | | | | | | |   (2088)   ~ (e4 = e1)
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | BETA: splitting (171) gives:
% 42.89/6.74  | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | |   (2089)  all_6_13 = e1
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | COMBINE_EQS: (460), (2089) imply:
% 42.89/6.74  | | | | | | | | | | | | | |   (2090)  all_4_17 = e1
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | SIMP: (2090) implies:
% 42.89/6.74  | | | | | | | | | | | | | |   (2091)  all_4_17 = e1
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | COMBINE_EQS: (347), (2091) imply:
% 42.89/6.74  | | | | | | | | | | | | | |   (2092)  all_10_11 = e1
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (1578), (1579), (1585), (2087), (2092)
% 42.89/6.74  | | | | | | | | | | | | | |            are inconsistent by sub-proof #7.
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | |   (2093)   ~ (all_6_13 = e1)
% 42.89/6.74  | | | | | | | | | | | | | |   (2094)  all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 42.89/6.74  | | | | | | | | | | | | | |           all_6_13 = e0
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | REDUCE: (460), (2093) imply:
% 42.89/6.74  | | | | | | | | | | | | | |   (2095)   ~ (all_4_17 = e1)
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | BETA: splitting (2094) gives:
% 42.89/6.74  | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | |   (2096)  all_6_13 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2096) imply:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2097)  all_4_17 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | SIMP: (2097) implies:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2098)  all_4_17 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | REDUCE: (37), (2098) imply:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2099)   ~ (all_4_15 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | REDUCE: (33), (2098) imply:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2100)   ~ (all_4_16 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | REDUCE: (28), (2098) imply:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2101)   ~ (all_4_19 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | SIMP: (2101) implies:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2102)   ~ (all_4_19 = e4)
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_21,
% 42.89/6.74  | | | | | | | | | | | | | | |              all_8_16, e0, e3, simplifying with (127), (2066)
% 42.89/6.74  | | | | | | | | | | | | | | |              gives:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2103)  all_8_16 = all_4_21
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 42.89/6.74  | | | | | | | | | | | | | | |              all_8_12, e1, e3, simplifying with (128), (2077)
% 42.89/6.74  | | | | | | | | | | | | | | |              gives:
% 42.89/6.74  | | | | | | | | | | | | | | |   (2104)  all_8_12 = all_4_16
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | BETA: splitting (251) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | |   (2105)   ~ (all_8_54 = e2)
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | REDUCE: (395), (2105) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | |   (2106)   ~ (all_4_6 = e2)
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | BETA: splitting (177) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | |   (2107)  all_6_6 = e1
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2107) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | |   (2108)  all_4_6 = e1
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | REDUCE: (576), (2108) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | |   (2109)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | CLOSE: (2109) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | |   (2110)  all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 42.89/6.74  | | | | | | | | | | | | | | | | |           all_6_6 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | BETA: splitting (2110) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2111)  all_6_6 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2111) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2112)  all_4_6 = e4
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | REDUCE: (568), (2112) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2113)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | CLOSE: (2113) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | |   (2114)  all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2115)  all_6_6 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2115) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2116)  all_4_6 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | REDUCE: (2106), (2116) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2117)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | CLOSE: (2117) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | |   (2118)  all_6_6 = e3 | all_6_6 = e0
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | BETA: splitting (2118) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2119)  all_6_6 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2119) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2120)  all_4_6 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2120) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2121)  all_10_3 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (2120) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2122)   ~ (all_4_5 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (2120) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2123)   ~ (all_4_8 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | SIMP: (2123) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | |   (2124)   ~ (all_4_8 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2125)  all_10_9 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2125) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2126)  all_4_15 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (2126) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2127)   ~ (all_4_16 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | SIMP: (2127) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2128)   ~ (all_4_16 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2126) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2129)   ~ (all_4_19 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2099), (2126) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | |   (2130)   ~ (e4 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |   (2131)  all_10_12 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2131) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |   (2132)  all_4_3 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (2132) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |   (2133)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |   (2134)  all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |   (2135)  all_10_13 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2135) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |   (2136)  all_4_8 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2124), (2136) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |   (2137)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2137) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | |   (2138)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2138) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | |   (2139)  all_10_14 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2139) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | |   (2140)  all_4_13 = e3
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2140) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | |   (2141)   ~ (all_4_11 = e3)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2142)  all_10_0 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2142) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2143)  all_4_0 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2143) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2144)  $false
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2144) is inconsistent.
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2145)   ~ (all_10_0 = e2)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |   (2146)  all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 |
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_16 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2146) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2147)  all_10_1 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2147) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2148)  all_4_5 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (2148) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2149)   ~ (all_4_8 = e2)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2149) implies:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2150)   ~ (all_4_8 = e2)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2122), (2148) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2151)   ~ (e3 = e2)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (502), (2148) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2152)   ~ (e2 = e1)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2061), (2148) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2153)   ~ (e2 = e0)
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (2148) imply:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2154)  op(e3, e2) = all_8_9
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (288) gives:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2155)  all_10_12 = e2
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.74  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2155) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2156)  all_4_3 = e2
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2156) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2157)   ~ (all_4_4 = e2)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2157) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2158)   ~ (all_4_4 = e2)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2159)  all_10_12 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2155), (2159) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2160)  e4 = e2
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2160) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2161)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2161) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2162)  all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 |
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2162) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2163)  all_10_13 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2163) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2164)  all_4_8 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2164) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2165)  all_4_8 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (2165) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2166)  op(e3, e4) = all_8_14
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_9, e2, e3, simplifying with (129), (2154)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2167)  all_8_9 = all_4_11
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_14, e4, e3, simplifying with (131), (2166)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2168)  all_8_14 = all_4_1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2169)   ~ (all_8_49 = e0)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (2169) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2170)   ~ (all_4_0 = e0)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2171)  all_6_0 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (2171) are inconsistent by sub-proof
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2172)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_0 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2172) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2173)  all_6_0 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (2173) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2174)  all_4_0 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2174) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2175)  all_4_0 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2175) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2176)  all_10_0 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2175) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2177)   ~ (all_4_4 = e4)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2177) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2178)   ~ (all_4_4 = e4)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (2175) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2179)   ~ (all_4_20 = e4)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2179) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2180)   ~ (all_4_20 = e4)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2181)  all_10_0 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2176), (2181) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2182)  e4 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1585), (2182) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2183)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2183) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2184)  all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 |
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_16 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2184) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2185)  all_10_1 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2147), (2185) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2186)  e2 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2153), (2186) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2187)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2187) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2188)  all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2189)  all_6_20 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (2189) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2190)  all_4_4 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2190) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2191)  all_4_4 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (2191) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2192)   ~ (all_4_1 = e1)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2191) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2193)   ~ (all_4_19 = e1)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2193) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2194)   ~ (all_4_19 = e1)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2158), (2191) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2195)   ~ (e2 = e1)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2188) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2196)  all_10_4 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (2196) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2197)  e1 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2197) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2198)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2198) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2199)  all_10_9 = e0 | all_10_16 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2200)  all_6_23 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2194), (2200) are inconsistent by
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #16.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2201)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 |
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_23 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2202)  all_6_8 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2202) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2203)  all_4_16 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2203) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2204)  all_4_16 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2104), (2204) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2205)  all_8_12 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2199) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2206)  all_10_9 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2125), (2206) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2207)  e3 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2207) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2208)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2208) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2209)  all_10_16 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2209) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2210)  all_4_20 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2210) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2211)  all_4_20 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2211) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2212)   ~ (all_4_21 = e0)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2212) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2213)   ~ (all_4_21 = e0)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (287) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2214)  all_10_16 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2209), (2214) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2215)  e4 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1585), (2215) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2216)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2216) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2217)  all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 |
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_24 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2218)  (all_8_9 = e4 &  ~ (all_8_10 = e3)) | (all_8_12 =
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_13 = e3))
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2218) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2219)  all_8_9 = e4 &  ~ (all_8_10 = e3)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2219) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2220)  all_8_9 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2167), (2220) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2221)  all_4_11 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (2221) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2222)   ~ (all_4_21 = e4)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2222) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2223)   ~ (all_4_21 = e4)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2217) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2224)  all_10_17 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (2224) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2225)  all_4_21 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2223), (2225) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2226)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2226) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2227)  all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2227) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2228)  all_10_18 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1578), (2228) are inconsistent by sub-proof
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #12.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2229)  all_10_19 = e4 | all_10_24 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2229) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2230)  all_10_19 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2230) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2231)  e4 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2231) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2232)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2232) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2233)  all_10_24 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2058), (2233) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2234)  e4 = e3
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2234) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2235)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2235) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2236)  all_8_12 = e2 &  ~ (all_8_13 = e3)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2236) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2237)  all_8_12 = e2
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2205), (2237) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2238)  e2 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2152), (2238) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2239)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2239) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2240)  (all_8_14 = e1 &  ~ (all_8_15 = e3)) | (all_8_16 =
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_17 = e3))
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2240) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2241)  all_8_14 = e1 &  ~ (all_8_15 = e3)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2241) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2242)  all_8_14 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2168), (2242) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2243)  all_4_1 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2243) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2244)  all_4_1 = e1
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2192), (2244) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2245)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2245) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2246)  all_8_16 = e0 &  ~ (all_8_17 = e3)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2246) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2247)  all_8_16 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2103), (2247) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2248)  all_4_21 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2248) implies:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2249)  all_4_21 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2213), (2249) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2250)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2250) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2251)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2201) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2252)  all_6_23 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2252) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2253)  all_4_19 = e4
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2102), (2253) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2254)  $false
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2254) is inconsistent.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2255)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2255) gives:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2256)  all_6_23 = e2
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2256) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2257)  all_4_19 = e2
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (2257) imply:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2258)   ~ (all_4_16 = e2)
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (514), (2100), (2128), (2251), (2258) are
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #9.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2259)  all_6_23 = e3 | all_6_23 = e0
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2064), (2065), (2259) are inconsistent by
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #6.
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 42.89/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2260)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 |
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_20 = e0
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (492), (2060), (2158), (2178), (2260) are
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #46.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2261)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (2170), (2261) are
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2262)  all_8_49 = e0
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2263)  all_8_48 = e4
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2263) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2264)  all_4_20 = e4
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2264) implies:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2265)  all_4_20 = e4
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2262) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2266)  all_4_0 = e0
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2266) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2267)   ~ (all_4_1 = e0)
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2267) implies:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2268)   ~ (all_4_1 = e0)
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (2266) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2269)   ~ (e3 = e0)
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (520), (2265) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2270)  op(e4, e4) = all_8_37
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (2266) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2271)  op(e4, e4) = e0
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (127), (239), (300), (360), (363), (366),
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (372), (514), (528), (572), (1581), (1593),
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2121), (2268), (2270), (2271), (function-axioms)
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #11.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2272)  all_10_14 = e4 | all_10_15 = e4 | all_10_19 = e4
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (332), (553), (1585), (2139), (2272) are
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #66.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2273)  all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_19 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2273) gives:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2274)  all_10_13 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2274) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2275)  all_4_8 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2150), (2275) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2276)  $false
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2276) is inconsistent.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2277)  all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2277) gives:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2278)  all_10_14 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2139), (2278) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2279)  e3 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2279) implies:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2280)  e3 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (2280) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2281)  $false
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2281) is inconsistent.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2282)  all_10_15 = e2 | all_10_19 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2282) gives:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2283)  all_10_15 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (332), (2153), (2283) are inconsistent by
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #27.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2284)  all_10_19 = e2
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (553), (2284) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2285)  e2 = e1
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2152), (2285) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2286)  $false
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2286) is inconsistent.
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2287)   ~ (all_10_1 = e2)
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (385), (2287) imply:
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2288)   ~ (all_4_5 = e2)
% 43.24/6.75  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (107), (181), (182), (253), (390), (421),
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | | |            (440), (448), (486), (487), (502), (566), (2061),
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2288) are inconsistent by sub-proof #4.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2289)  all_10_15 = e3 | all_10_19 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (332), (553), (2289) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #64.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |   (2290)   ~ (all_10_9 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | REDUCE: (378), (2290) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |   (2291)   ~ (all_4_15 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |   (2292)  all_6_3 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (511), (2292) are inconsistent by sub-proof
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |            #24.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |   (2293)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2293) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | |   (2294)  all_6_3 = e4
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2099), (2294) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | |   (2295)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2295) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2296)  all_6_3 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2296) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2297)  all_4_15 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2297) implies:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2298)  all_4_15 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (2298) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2299)   ~ (all_4_5 = e2)
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (107), (181), (182), (253), (390), (421),
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |            (440), (448), (486), (487), (502), (566), (2061),
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |            (2122), (2299) are inconsistent by sub-proof #4.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2300)  all_6_3 = e3 | all_6_3 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (513), (2291), (2300) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2301)  all_6_6 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2301) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2302)  all_4_6 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (2062), (2302) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2303)  $false
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | CLOSE: (2303) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2304)  all_8_54 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2305)  all_8_51 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2305) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2306)  all_4_11 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | SIMP: (2306) implies:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2307)  all_4_11 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2304) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2308)  all_4_6 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | REDUCE: (81), (2308) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2309)   ~ (all_4_5 = e2)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | REDUCE: (70), (2308) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2310)   ~ (all_4_16 = e2)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | SIMP: (2310) implies:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2311)   ~ (all_4_16 = e2)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | REDUCE: (49), (2307) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2312)   ~ (all_4_16 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | SIMP: (2312) implies:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2313)   ~ (all_4_16 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | BETA: splitting (292) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | |   (2314)  all_10_9 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2314) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | |   (2315)  all_4_15 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | REDUCE: (76), (2315) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | |   (2316)   ~ (all_4_5 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (107), (181), (182), (253), (390), (421),
% 43.24/6.76  | | | | | | | | | | | | | | | | |            (440), (448), (486), (487), (502), (566), (2061),
% 43.24/6.76  | | | | | | | | | | | | | | | | |            (2309), (2316) are inconsistent by sub-proof #4.
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | |   (2317)   ~ (all_10_9 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | REDUCE: (378), (2317) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | |   (2318)   ~ (all_4_15 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | BETA: splitting (175) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | |   (2319)  all_6_8 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2319) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | |   (2320)  all_4_16 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | SIMP: (2320) implies:
% 43.24/6.76  | | | | | | | | | | | | | | | | | |   (2321)  all_4_16 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | REDUCE: (31), (2321) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | |   (2322)   ~ (all_4_19 = e1)
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | SIMP: (2322) implies:
% 43.24/6.76  | | | | | | | | | | | | | | | | | |   (2323)   ~ (all_4_19 = e1)
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | |   (2324)  all_6_23 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2324) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | |   (2325)  all_4_19 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | REDUCE: (2323), (2325) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | |   (2326)  $false
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | CLOSE: (2326) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | |   (2327)  all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 |
% 43.24/6.76  | | | | | | | | | | | | | | | | | | |           all_6_23 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | BETA: splitting (2327) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2328)  all_6_23 = e4
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2328) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2329)  all_4_19 = e4
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | REDUCE: (2102), (2329) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2330)  $false
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | CLOSE: (2330) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | |   (2331)  all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |   (2332)  all_6_3 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2332) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |   (2333)  all_4_15 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | REDUCE: (511), (2333) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |   (2334)  $false
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2334) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |   (2335)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |   (2336)  all_6_23 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2336) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |   (2337)  all_4_19 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2337) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |   (2338)   ~ (all_4_15 = e2)
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2335) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | |   (2339)  all_6_3 = e4
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2099), (2339) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | |   (2340)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2340) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2341)  all_6_3 = e2
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2338), (2341) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #22.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |   (2342)  all_6_3 = e3 | all_6_3 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (513), (2318), (2342) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |   (2343)  all_6_23 = e3 | all_6_23 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2064), (2065), (2343) are inconsistent by
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | |            sub-proof #6.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | |   (2344)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 43.24/6.76  | | | | | | | | | | | | | | | | | |           all_6_8 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (514), (2100), (2311), (2313), (2344) are
% 43.24/6.76  | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #9.
% 43.24/6.76  | | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | |   (2345)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | REF_CLOSE: (460), (498), (515), (1587), (2345) are
% 43.24/6.76  | | | | | | | | | | | | | | |            inconsistent by sub-proof #68.
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | |   (2346)  all_10_13 = e1 | all_10_21 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | BETA: splitting (2346) gives:
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | |   (2347)  all_10_13 = e1
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | REF_CLOSE: (338), (555), (2347) are inconsistent by sub-proof
% 43.24/6.76  | | | | | | | | | | | |            #15.
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | |   (2348)  all_10_21 = e1
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | COMBINE_EQS: (2059), (2348) imply:
% 43.24/6.76  | | | | | | | | | | | |   (2349)  e1 = e0
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | REDUCE: (562), (2349) imply:
% 43.24/6.76  | | | | | | | | | | | |   (2350)  $false
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | CLOSE: (2350) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | End of split
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | End of split
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | End of split
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | Case 2:
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | |   (2351)  all_8_54 = e1
% 43.24/6.76  | | | | | |   (2352)  all_8_52 = e3
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | COMBINE_EQS: (410), (2352) imply:
% 43.24/6.76  | | | | | |   (2353)  all_4_16 = e3
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | SIMP: (2353) implies:
% 43.24/6.76  | | | | | |   (2354)  all_4_16 = e3
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | COMBINE_EQS: (395), (2351) imply:
% 43.24/6.76  | | | | | |   (2355)  all_4_6 = e1
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | COMBINE_EQS: (363), (2354) imply:
% 43.24/6.76  | | | | | |   (2356)  all_10_10 = e3
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | COMBINE_EQS: (369), (2355) imply:
% 43.24/6.76  | | | | | |   (2357)  all_10_3 = e1
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (100), (2355) imply:
% 43.24/6.76  | | | | | |   (2358)   ~ (all_4_1 = e1)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (74), (2355) imply:
% 43.24/6.76  | | | | | |   (2359)   ~ (all_4_7 = e1)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | SIMP: (2359) implies:
% 43.24/6.76  | | | | | |   (2360)   ~ (all_4_7 = e1)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (73), (2355) imply:
% 43.24/6.76  | | | | | |   (2361)   ~ (all_4_8 = e1)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (70), (2354), (2355) imply:
% 43.24/6.76  | | | | | |   (2362)   ~ (e3 = e1)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (568), (2355) imply:
% 43.24/6.76  | | | | | |   (2363)   ~ (e4 = e1)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (49), (2354) imply:
% 43.24/6.76  | | | | | |   (2364)   ~ (all_4_11 = e3)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (30), (2354) imply:
% 43.24/6.76  | | | | | |   (2365)   ~ (all_4_21 = e3)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | SIMP: (2365) implies:
% 43.24/6.76  | | | | | |   (2366)   ~ (all_4_21 = e3)
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (527), (2354) imply:
% 43.24/6.76  | | | | | |   (2367)  op(e3, e3) = all_8_30
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | REDUCE: (130), (2355) imply:
% 43.24/6.76  | | | | | |   (2368)  op(e3, e3) = e1
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | BETA: splitting (295) gives:
% 43.24/6.76  | | | | | | 
% 43.24/6.76  | | | | | | Case 1:
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | |   (2369)  all_10_6 = e1
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | | REF_CLOSE: (5), (357), (2369) are inconsistent by sub-proof #3.
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | Case 2:
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | |   (2370)   ~ (all_10_6 = e1)
% 43.24/6.76  | | | | | | |   (2371)  all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 |
% 43.24/6.76  | | | | | | |           all_10_18 = e1
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | | BETA: splitting (308) gives:
% 43.24/6.76  | | | | | | | 
% 43.24/6.76  | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | |   (2372)  all_10_0 = e1
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | | COMBINE_EQS: (388), (2372) imply:
% 43.24/6.76  | | | | | | | |   (2373)  all_4_0 = e1
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | | REDUCE: (487), (2373) imply:
% 43.24/6.76  | | | | | | | |   (2374)  $false
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | | CLOSE: (2374) is inconsistent.
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | |   (2375)  all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 |
% 43.24/6.76  | | | | | | | |           all_10_20 = e1
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | | BETA: splitting (2375) gives:
% 43.24/6.76  | | | | | | | | 
% 43.24/6.76  | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | |   (2376)  all_10_2 = e1
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | COMBINE_EQS: (372), (2376) imply:
% 43.24/6.76  | | | | | | | | |   (2377)  all_4_1 = e1
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | SIMP: (2377) implies:
% 43.24/6.76  | | | | | | | | |   (2378)  all_4_1 = e1
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | REDUCE: (2358), (2378) imply:
% 43.24/6.76  | | | | | | | | |   (2379)  $false
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | CLOSE: (2379) is inconsistent.
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | |   (2380)  all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | BETA: splitting (2380) gives:
% 43.24/6.76  | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | |   (2381)  all_10_6 = e1
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | REF_CLOSE: (5), (357), (2381) are inconsistent by sub-proof
% 43.24/6.76  | | | | | | | | | |            #3.
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | |   (2382)  all_10_12 = e1 | all_10_20 = e1
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | BETA: splitting (2382) gives:
% 43.24/6.76  | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | |   (2383)  all_10_12 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | COMBINE_EQS: (341), (2383) imply:
% 43.24/6.76  | | | | | | | | | | |   (2384)  all_4_3 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | SIMP: (2384) implies:
% 43.24/6.76  | | | | | | | | | | |   (2385)  all_4_3 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | REDUCE: (554), (2385) imply:
% 43.24/6.76  | | | | | | | | | | |   (2386)  $false
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | CLOSE: (2386) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | |   (2387)  all_10_20 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | COMBINE_EQS: (326), (2387) imply:
% 43.24/6.76  | | | | | | | | | | |   (2388)  all_4_4 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | SIMP: (2388) implies:
% 43.24/6.76  | | | | | | | | | | |   (2389)  all_4_4 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | COMBINE_EQS: (429), (2389) imply:
% 43.24/6.76  | | | | | | | | | | |   (2390)  all_8_65 = e1
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | REDUCE: (85), (2389) imply:
% 43.24/6.76  | | | | | | | | | | |   (2391)   ~ (all_4_9 = e1)
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | SIMP: (2391) implies:
% 43.24/6.76  | | | | | | | | | | |   (2392)   ~ (all_4_9 = e1)
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | BETA: splitting (2371) gives:
% 43.24/6.76  | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | |   (2393)  all_10_7 = e1
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | COMBINE_EQS: (353), (2393) imply:
% 43.24/6.76  | | | | | | | | | | | |   (2394)  all_4_7 = e1
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | REDUCE: (2360), (2394) imply:
% 43.24/6.76  | | | | | | | | | | | |   (2395)  $false
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | CLOSE: (2395) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | |   (2396)  all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | BETA: splitting (2396) gives:
% 43.24/6.76  | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | |   (2397)  all_10_8 = e1
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | COMBINE_EQS: (350), (2397) imply:
% 43.24/6.76  | | | | | | | | | | | | |   (2398)  all_4_12 = e1
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | SIMP: (2398) implies:
% 43.24/6.76  | | | | | | | | | | | | |   (2399)  all_4_12 = e1
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | REDUCE: (507), (2399) imply:
% 43.24/6.76  | | | | | | | | | | | | |   (2400)  $false
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | CLOSE: (2400) is inconsistent.
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | Case 2:
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | |   (2401)  all_10_11 = e1 | all_10_18 = e1
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | BETA: splitting (245) gives:
% 43.24/6.76  | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | |   (2402)   ~ (all_8_69 = e4)
% 43.24/6.76  | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | REDUCE: (312), (2402) imply:
% 43.24/6.76  | | | | | | | | | | | | | |   (2403)   ~ (all_4_24 = e4)
% 43.24/6.76  | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | BETA: splitting (2401) gives:
% 43.24/6.76  | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | |   (2404)  all_10_11 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | COMBINE_EQS: (347), (2404) imply:
% 43.24/6.76  | | | | | | | | | | | | | | |   (2405)  all_4_17 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | SIMP: (2405) implies:
% 43.24/6.76  | | | | | | | | | | | | | | |   (2406)  all_4_17 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | REDUCE: (27), (2406) imply:
% 43.24/6.76  | | | | | | | | | | | | | | |   (2407)   ~ (all_4_22 = e1)
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | REDUCE: (536), (2406) imply:
% 43.24/6.76  | | | | | | | | | | | | | | |   (2408)  op(e1, e1) = all_8_31
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_31,
% 43.24/6.76  | | | | | | | | | | | | | | |              e1, e1, simplifying with (10), (2408) gives:
% 43.24/6.76  | | | | | | | | | | | | | | |   (2409)  all_8_31 = e0
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_30,
% 43.24/6.76  | | | | | | | | | | | | | | |              e3, e3, simplifying with (2367), (2368) gives:
% 43.24/6.76  | | | | | | | | | | | | | | |   (2410)  all_8_30 = e1
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2411)   ~ (all_8_69 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | REDUCE: (312), (2411) imply:
% 43.24/6.76  | | | | | | | | | | | | | | | |   (2412)   ~ (all_4_24 = e3)
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | BETA: splitting (286) gives:
% 43.24/6.76  | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | |   (2413)  all_10_16 = e3
% 43.24/6.76  | | | | | | | | | | | | | | | | | 
% 43.24/6.76  | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2413) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2414)  all_4_20 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2414) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2415)  all_8_48 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | REDUCE: (34), (2414) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2416)   ~ (all_4_15 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2417)   ~ (all_8_49 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | REDUCE: (390), (2417) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2418)   ~ (all_4_0 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2419)  all_6_0 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (2419) are inconsistent by sub-proof
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |            #78.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2420)   ~ (all_6_0 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2421)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |           all_6_0 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (2421) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2422)  all_6_0 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (2422) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2423)  all_4_0 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | SIMP: (2423) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2424)  all_4_0 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (2424) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2425)   ~ (all_4_3 = e4)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | SIMP: (2425) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2426)   ~ (all_4_3 = e4)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (2424) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2427)   ~ (all_4_15 = e4)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | SIMP: (2427) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2428)   ~ (all_4_15 = e4)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | REDUCE: (2418), (2424) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2429)   ~ (e4 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2430)  all_6_3 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (511), (2430) are inconsistent by sub-proof
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |            #24.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2431)  all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |           all_6_3 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |   (2432)  all_6_15 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2432) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |   (2433)  all_4_3 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2433) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |   (2434)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2434) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |   (2435)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2436)  all_10_9 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (2428), (2436) are inconsistent by
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #2.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2437)   ~ (all_10_9 = e4)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2438)  all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2438) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2439)  all_10_10 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2356), (2439) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2440)  e4 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2440) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2441)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2441) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2442)  all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2435) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (2443)  all_6_15 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2443) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (2444)  all_4_3 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2426), (2444) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (2445)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2445) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (2446)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2446) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2447)  all_6_15 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2447) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2448)  all_4_3 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (2448) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2449)  op(e4, e2) = all_8_5
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2448) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2450)  op(e1, e4) = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2442) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2451)  all_10_11 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2404), (2451) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2452)  e4 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2452) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2453)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2453) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2454)  all_10_15 = e4 | all_10_23 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2431) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2455)  all_6_3 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2428), (2455) are inconsistent by
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #23.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2456)  all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2454) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2457)  all_10_15 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (332), (2429), (2457) are inconsistent by
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #67.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2458)  all_10_23 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2458) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2459)  all_4_19 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2459) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2460)  all_4_19 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (539), (2460) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2461)  op(e1, e4) = all_8_34
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2456) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2462)  all_6_3 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2462) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2463)  all_4_15 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2463) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2464)  all_4_15 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (513), (2464) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2465)   ~ (e2 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (2464) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2466)  op(e4, e2) = all_8_28
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_34,
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e1, simplifying with (2450), (2461) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2467)  all_8_34 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_5,
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e4, simplifying with (12), (2449) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2468)  all_8_5 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28,
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_5, e2, e4, simplifying with (2449), (2466)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2469)  all_8_5 = all_8_28
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2468), (2469) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2470)  all_8_28 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2471)  (all_8_27 = e4 &  ~ (all_8_28 = e1)) | (all_8_29 =
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e3 &  ~ (all_8_30 = e1))
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2471) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2472)  all_8_27 = e4 &  ~ (all_8_28 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2472) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2473)   ~ (all_8_28 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2470), (2473) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2474)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2474) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2475)  all_8_29 = e3 &  ~ (all_8_30 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2475) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2476)   ~ (all_8_30 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2410), (2476) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2477)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2477) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2478)  (all_8_31 = e2 &  ~ (all_8_32 = e1)) | (all_8_34 =
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_35 = e1))
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2478) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2479)  all_8_31 = e2 &  ~ (all_8_32 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2479) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2480)  all_8_31 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2409), (2480) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2481)  e2 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2465), (2481) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2482)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2482) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2483)  all_8_34 = e0 &  ~ (all_8_35 = e1)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2483) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2484)  all_8_34 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2467), (2484) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2485)  e2 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2485) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2486)  e2 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2465), (2486) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2487)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2487) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2488)  all_6_3 = e3 | all_6_3 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (513), (2416), (2488) are inconsistent by
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #14.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2489)  all_6_15 = e3 | all_6_15 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (490), (501), (2489) are inconsistent by
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2490)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (566), (2418), (2490) are
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #58.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2491)  all_8_48 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2415), (2491) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2492)  e4 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | REDUCE: (9), (2492) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2493)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | CLOSE: (2493) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2494)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 |
% 43.24/6.77  | | | | | | | | | | | | | | | | |           all_10_24 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (344), (360), (483), (500), (553), (2366),
% 43.24/6.77  | | | | | | | | | | | | | | | | |            (2412), (2494) are inconsistent by sub-proof #56.
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | End of split
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2495)  all_8_69 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2496)  all_8_66 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2496) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2497)  all_4_9 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | SIMP: (2497) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2498)  all_4_9 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (312), (2495) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2499)  all_4_24 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | COMBINE_EQS: (323), (2498) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2500)  all_10_21 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (78), (2498) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2501)   ~ (all_4_5 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (59), (2498) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2502)   ~ (all_4_14 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | SIMP: (2502) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2503)   ~ (all_4_14 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (57), (2498), (2499) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2504)   ~ (e3 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (2392), (2498) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2505)   ~ (e1 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (39), (2499) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2506)   ~ (all_4_14 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (2403), (2499) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2507)   ~ (e4 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (545), (2498) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2508)  op(e0, e0) = all_8_17
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | REDUCE: (112), (2499) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | |   (2509)  op(e0, e0) = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2510)  all_10_0 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2510) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2511)  all_4_0 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | REDUCE: (486), (2511) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2512)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | CLOSE: (2512) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | |   (2513)  all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 |
% 43.24/6.77  | | | | | | | | | | | | | | | | |           all_10_16 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | BETA: splitting (2513) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2514)  all_10_1 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2514) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2515)  all_4_5 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | REDUCE: (79), (2515) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2516)   ~ (all_4_8 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | SIMP: (2516) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2517)   ~ (all_4_8 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | REDUCE: (75), (2515) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2518)   ~ (all_4_20 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | SIMP: (2518) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2519)   ~ (all_4_20 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | REDUCE: (525), (2515) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | |   (2520)  op(e3, e3) = all_8_9
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | BETA: splitting (289) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2521)  all_10_12 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2521) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2522)  all_4_3 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | SIMP: (2522) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2523)  all_4_3 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | REDUCE: (490), (2523) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2524)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | CLOSE: (2524) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |   (2525)  all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | |           all_10_19 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | BETA: splitting (2525) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2526)  all_10_13 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2526) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2527)  all_4_8 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | SIMP: (2527) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2528)  all_4_8 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | REDUCE: (2517), (2528) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2529)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | CLOSE: (2529) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | |   (2530)  all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2531)  all_10_14 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2531) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2532)  all_4_13 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | SIMP: (2532) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2533)  all_4_13 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (2533) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2534)   ~ (all_4_14 = e3)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_17,
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |              e0, e0, simplifying with (2508), (2509) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2535)  all_8_17 = e3
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_9,
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |              e3, e3, simplifying with (2368), (2520) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | |   (2536)  all_8_9 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (247) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |   (2537)   ~ (all_8_59 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (2537) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | |   (2538)   ~ (all_4_12 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (297) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2539)  all_10_4 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (2539) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2540)  e1 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2540) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2541)  $false
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2541) is inconsistent.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |   (2542)  all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2542) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2543)  all_10_5 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2543) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2544)  all_4_11 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (2544) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2545)   ~ (all_4_1 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2544) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | |   (2546)   ~ (all_4_12 = e0)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (2547)  all_6_12 = e1
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (507), (2547) are inconsistent by sub-proof
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |            #83.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |   (2548)  all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_12 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2548) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2549)  all_6_12 = e4
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (570), (2549) are inconsistent by sub-proof
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |            #82.
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2550)  all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2550) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2551)  all_6_12 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2551) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2552)  all_4_12 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2552) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2553)  all_4_12 = e2
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2553) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2554)   ~ (all_4_14 = e2)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2554) implies:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2555)   ~ (all_4_14 = e2)
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2556)  all_10_0 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2556) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2557)  all_4_0 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2557) imply:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2558)  all_8_49 = e0
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.77  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2559)   ~ (all_8_49 = e0)
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2558), (2559) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2560)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2560) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2561)  all_8_48 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2561) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2562)  all_4_20 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2562) implies:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2563)  all_4_20 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (2563) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2564)   ~ (all_4_15 = e4)
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2565)  all_6_22 = e1
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (2565) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2566)  all_4_14 = e1
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (2566) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2567)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2567) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2568)   ~ (all_6_22 = e1)
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2569)  all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_22 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2569) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2570)  all_6_22 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (2570) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2571)  all_4_14 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (2571) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2572)   ~ (all_4_19 = e4)
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2572) implies:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2573)   ~ (all_4_19 = e4)
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2503), (2571) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2574)   ~ (e4 = e0)
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (293) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2575)  all_10_9 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (2564), (2575) are inconsistent by
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #2.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2576)  all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 |
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_23 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2577)  all_10_10 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2356), (2577) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2578)  e4 = e3
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2578) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2579)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2579) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2580)  all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2580) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2581)  all_10_11 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2404), (2581) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2582)  e4 = e1
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2582) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2583)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2583) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2584)  all_10_15 = e4 | all_10_23 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2584) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2585)  all_10_15 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (332), (2574), (2585) are inconsistent by
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #67.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2586)  all_10_23 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (484), (2586) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2587)  all_4_19 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2588)  all_4_19 = e4
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2573), (2588) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2589)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2589) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2590)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (2503), (2506), (2555), (2590) are
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #19.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2591)  all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 |
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2591) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2592)  all_10_2 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2592) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2593)  all_4_1 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (2593) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2594)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2594) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2595)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2595) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2596)  all_10_6 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (357), (2596) are inconsistent by sub-proof
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #51.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2597)  all_10_12 = e0 | all_10_20 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2597) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2598)  all_10_12 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (341), (501), (2598) are inconsistent by sub-proof
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #33.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2599)  all_10_20 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2387), (2599) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2600)  e1 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2600) implies:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2601)  e1 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2601) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2602)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2602) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2603)  all_6_12 = e3 | all_6_12 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (496), (2538), (2603) are inconsistent by
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #18.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | |   (2604)  all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2605)  all_10_8 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2605) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2606)  all_4_12 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2538), (2606) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2607)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2607) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2608)  all_10_14 = e0 | all_10_22 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2608) gives:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2609)  all_10_14 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2531), (2609) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2610)  e3 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2610) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2611)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2611) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2612)  all_10_22 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2612) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2613)  all_4_14 = e0
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2503), (2613) imply:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2614)  $false
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2614) is inconsistent.
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.24/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2615)  all_8_59 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2616)  all_8_58 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2616) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2617)  all_4_22 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2615) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2618)  all_4_12 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2618) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2619)  all_4_12 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (344), (2617) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2620)  all_10_18 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2619) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2621)  all_10_8 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (2617) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2622)   ~ (all_4_7 = e2)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2619) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2623)   ~ (all_4_11 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (2617), (2619) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2624)   ~ (e2 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2624) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2625)   ~ (e2 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (2619) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2626)   ~ (e4 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2626) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2627)   ~ (e4 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (2617) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2628)   ~ (e3 = e2)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (2617) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | |   (2629)   ~ (e2 = e1)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (296) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | |   (2630)  all_10_6 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (2630) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | |   (2631)  e4 = e3
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2631) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | |   (2632)  e4 = e3
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2632) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | |   (2633)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2633) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | |   (2634)  all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 |
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | |           all_10_18 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | |   (2635)  all_10_7 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (2635) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | |   (2636)  all_4_7 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (2636) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | |   (2637)  op(e2, e4) = all_8_13
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (290) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2638)  all_10_12 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (341), (2638) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2639)  all_4_3 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2639) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2640)  all_4_3 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (2640) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2641)   ~ (all_4_0 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2640) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2642)   ~ (all_4_1 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (2640) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2643)   ~ (all_4_8 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2643) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | |   (2644)   ~ (all_4_8 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2645)  all_6_16 = e1
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (2645) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2646)  all_4_8 = e1
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2646) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2647)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2647) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2648)  all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_16 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2648) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2649)  all_6_16 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (2649) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2650)  all_4_8 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2644), (2650) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2651)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2651) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2652)  all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2652) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2653)  all_6_16 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (465), (2653) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2654)  all_4_8 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (2654) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2655)  op(e3, e2) = all_8_14
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2656)  all_6_0 = e1
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (487), (2656) are inconsistent by sub-proof
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #78.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2657)   ~ (all_6_0 = e1)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2658)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2658) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2659)  all_6_0 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (2641), (2659) are inconsistent by
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #5.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2660)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2660) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2661)  all_6_0 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (566), (2661) are inconsistent by sub-proof
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #60.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2662)   ~ (all_6_0 = e2)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2663)  all_6_0 = e3 | all_6_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2663) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2664)  all_6_0 = e3
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (448), (486), (2664) are inconsistent by sub-proof
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            #59.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2665)  all_6_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (448), (2665) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2666)  all_4_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2666) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2667)  all_4_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2667) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2668)  all_8_49 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2667) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2669)  all_10_0 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2667) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2670)   ~ (all_4_1 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2670) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2671)   ~ (all_4_1 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2672)   ~ (all_8_49 = e0)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2668), (2672) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2673)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2673) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2674)  all_8_48 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2674) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2675)  all_4_20 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2675) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2676)  all_4_20 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (2676) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2677)   ~ (all_4_21 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2677) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2678)   ~ (all_4_21 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2679)  all_10_0 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2625), (2669), (2679) are inconsistent by
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #30.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2680)  all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 |
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_20 = e2
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (300) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2681)  all_10_2 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (2671), (2681) are inconsistent by
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #34.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2682)  all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2682) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2683)  all_10_3 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2357), (2683) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2684)  e1 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2684) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2685)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2685) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2686)  all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2687)  all_10_2 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2687) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2688)  all_4_1 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2688) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2689)  all_4_1 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2642), (2689) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2690)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2690) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2691)   ~ (all_10_2 = e4)
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2692)  all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 |
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_17 = e4
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2686) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2693)  all_10_5 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2693) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2694)  all_4_11 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2694) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2695)  all_4_11 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2623), (2695) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2696)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2696) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2697)  all_10_10 = e0 | all_10_17 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2697) gives:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2698)  all_10_10 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2356), (2698) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2699)  e3 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2699) implies:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2700)  e3 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2700) imply:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2701)  $false
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2701) is inconsistent.
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2702)  all_10_17 = e0
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.78  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (360), (2702) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2703)  all_4_21 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2703) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2704)  all_4_21 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2705)  all_10_2 = e2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2705) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2706)  all_4_1 = e2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2706) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2707)  all_4_1 = e2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (2707) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2708)  op(e3, e2) = all_8_2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (299) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2709)  all_10_4 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (2709) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2710)  e4 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2710) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2711)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2711) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2712)   ~ (all_10_4 = e4)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2713)  all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 |
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_10_22 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2713) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2714)  all_10_5 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2714) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2715)  all_4_11 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2715) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2716)  all_4_11 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (129), (2716) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2717)  op(e3, e2) = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (2716) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2718)  op(e2, e4) = all_8_20
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_13,
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e4, e2, simplifying with (11), (2637) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2719)  all_8_13 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_20,
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_13, e4, e2, simplifying with (2637), (2718)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2720)  all_8_13 = all_8_20
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_14,
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              all_8_2, e2, e3, simplifying with (2655), (2708)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2721)  all_8_2 = all_8_14
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_2,
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |              e2, e3, simplifying with (2708), (2717) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2722)  all_8_2 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2721), (2722) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2723)  all_8_14 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2723) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2724)  all_8_14 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2719), (2720) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2725)  all_8_20 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2726)  (all_8_9 = e4 &  ~ (all_8_10 = e3)) | (all_8_12 =
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e2 &  ~ (all_8_13 = e3))
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2726) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2727)  all_8_9 = e4 &  ~ (all_8_10 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2727) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2728)  all_8_9 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2536), (2728) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2729)  e4 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2729) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2730)  e4 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2730) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2731)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2731) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2732)  all_8_12 = e2 &  ~ (all_8_13 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2732) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2733)   ~ (all_8_13 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2719), (2733) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2734)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2734) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2735)  (all_8_14 = e1 &  ~ (all_8_15 = e3)) | (all_8_16 =
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |             e0 &  ~ (all_8_17 = e3))
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2735) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2736)  all_8_14 = e1 &  ~ (all_8_15 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2736) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2737)  all_8_14 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2724), (2737) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2738)  e4 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2738) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2739)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2739) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2740)  all_8_16 = e0 &  ~ (all_8_17 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2740) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2741)   ~ (all_8_17 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2535), (2741) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2742)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2742) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2743)   ~ (all_10_5 = e4)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (2743) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2744)   ~ (all_4_11 = e4)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2692) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2745)  all_10_3 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2357), (2745) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2746)  e4 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2746) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2747)  e4 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (2747) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2748)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2748) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2749)  all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2750)  all_10_5 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2750) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2751)  all_4_11 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2751) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2752)  all_4_11 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2744), (2752) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2753)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2753) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2754)  all_10_10 = e4 | all_10_17 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2754) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2755)  all_10_10 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2356), (2755) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2756)  e4 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2756) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2757)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2757) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2758)  all_10_17 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2702), (2758) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2759)  e4 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2759) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2760)  e4 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2627), (2760) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2761)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2761) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2762)   ~ (all_10_2 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (2762) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2763)   ~ (all_4_1 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2764)  all_6_5 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (2358), (2764) are inconsistent by
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #43.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2765)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_5 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (488), (2642), (2671), (2763), (2765) are
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |            inconsistent by sub-proof #42.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2766)   ~ (all_6_16 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (465), (2766) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2767)   ~ (all_4_8 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (304), (338), (2357), (2500), (2514),
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2625), (2629), (2635), (2767) are inconsistent by
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2768)   ~ (all_10_12 = e4)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (2768) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2769)   ~ (all_4_3 = e4)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2770)  all_6_15 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (554), (2770) are inconsistent by sub-proof
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |            #77.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2771)   ~ (all_6_15 = e1)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2772)  all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |           all_6_15 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2772) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2773)  all_6_15 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (2769), (2773) are inconsistent by
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #76.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2774)   ~ (all_6_15 = e4)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2775)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2775) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2776)  all_6_15 = e2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2776) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2777)  all_4_3 = e2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2777) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2778)  all_4_3 = e2
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (2778) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2779)   ~ (all_4_8 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2779) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2780)   ~ (all_4_8 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2769), (2778) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2781)   ~ (e4 = e2)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (304), (338), (2357), (2500), (2514),
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            (2625), (2629), (2635), (2780) are inconsistent by
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #1.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |   (2782)  all_6_15 = e3 | all_6_15 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (463), (490), (501), (2782) are inconsistent by
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | |            sub-proof #63.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | |   (2783)  all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (2404), (2620), (2621), (2627), (2783)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | |            are inconsistent by sub-proof #7.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |   (2784)  all_10_15 = e3 | all_10_19 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (332), (553), (2784) are inconsistent by
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |            sub-proof #64.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | |   (2785)   ~ (all_10_1 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | REDUCE: (385), (2785) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | |   (2786)   ~ (all_4_5 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | BETA: splitting (298) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | |   (2787)  all_10_4 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (2787) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | |   (2788)  e3 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2788) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | |   (2789)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | CLOSE: (2789) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | |   (2790)   ~ (all_10_4 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | |   (2791)  all_10_5 = e3 | all_10_8 = e3 | all_10_14 = e3 |
% 43.35/6.79  | | | | | | | | | | | | | | | | | | |           all_10_22 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | BETA: splitting (2791) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | |   (2792)  all_10_5 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2792) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | |   (2793)  all_4_11 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | SIMP: (2793) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | |   (2794)  all_4_11 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | REDUCE: (2364), (2794) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | |   (2795)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | CLOSE: (2795) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | |   (2796)  all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |   (2797)  all_10_1 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (385), (2797) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |   (2798)  all_4_5 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | REDUCE: (2786), (2798) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |   (2799)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | CLOSE: (2799) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |   (2800)  all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 |
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | |           all_10_21 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | |   (2801)  all_10_3 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2357), (2801) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | |   (2802)  e3 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | SIMP: (2802) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | |   (2803)  e3 = e1
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (2803) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | |   (2804)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2804) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | |   (2805)  all_10_7 = e3 | all_10_13 = e3 | all_10_21 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2796) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | |   (2806)  all_10_8 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2806) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | |   (2807)  all_4_12 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | |   (2808)  all_4_12 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (496), (2808) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | |   (2809)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2809) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | |   (2810)  all_10_14 = e3 | all_10_22 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2805) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | |   (2811)  all_10_7 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (353), (2811) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | |   (2812)  all_4_7 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (494), (2812) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | |   (2813)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2813) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | |   (2814)  all_10_13 = e3 | all_10_21 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2815)  all_10_13 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (338), (2815) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2816)  all_4_8 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2816) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2817)  all_4_8 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2817) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2818)   ~ (all_4_13 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2818) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2819)   ~ (all_4_13 = e3)
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2810) gives:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2820)  all_10_14 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (335), (2820) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2821)  all_4_13 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2821) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2822)  all_4_13 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2819), (2822) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2823)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2823) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2824)  all_10_22 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2824) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2825)  all_4_14 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2825) implies:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2826)  all_4_14 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2506), (2826) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | |   (2827)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2827) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2828)  all_10_21 = e3
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2500), (2828) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2829)  e3 = e0
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (2829) imply:
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | |   (2830)  $false
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2830) is inconsistent.
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | | 
% 43.35/6.79  | | | | | | | | | | | | | | | End of split
% 43.35/6.79  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | Case 2:
% 43.35/6.80  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | |   (2831)  all_10_18 = e1
% 43.35/6.80  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | | COMBINE_EQS: (344), (2831) imply:
% 43.35/6.80  | | | | | | | | | | | | | | |   (2832)  all_4_22 = e1
% 43.35/6.80  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | | SIMP: (2832) implies:
% 43.35/6.80  | | | | | | | | | | | | | | |   (2833)  all_4_22 = e1
% 43.35/6.80  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | | REDUCE: (559), (2833) imply:
% 43.35/6.80  | | | | | | | | | | | | | | |   (2834)  $false
% 43.35/6.80  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | | CLOSE: (2834) is inconsistent.
% 43.35/6.80  | | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | Case 2:
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | |   (2835)  all_8_65 = e0
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | COMBINE_EQS: (2390), (2835) imply:
% 43.35/6.80  | | | | | | | | | | | | | |   (2836)  e1 = e0
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | SIMP: (2836) implies:
% 43.35/6.80  | | | | | | | | | | | | | |   (2837)  e1 = e0
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | REDUCE: (562), (2837) imply:
% 43.35/6.80  | | | | | | | | | | | | | |   (2838)  $false
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | | CLOSE: (2838) is inconsistent.
% 43.35/6.80  | | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | | | 
% 43.35/6.80  | | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | | 
% 43.35/6.80  | | | | | | | | End of split
% 43.35/6.80  | | | | | | | | 
% 43.35/6.80  | | | | | | | End of split
% 43.35/6.80  | | | | | | | 
% 43.35/6.80  | | | | | | End of split
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | End of split
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | Case 2:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (2839)  all_8_55 = e2
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | COMBINE_EQS: (402), (2839) imply:
% 43.35/6.80  | | | | |   (2840)  e3 = e2
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | REDUCE: (6), (2840) imply:
% 43.35/6.80  | | | | |   (2841)  $false
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | CLOSE: (2841) is inconsistent.
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | End of split
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | Case 2:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (2842)  all_8_50 = e3
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | COMBINE_EQS: (394), (2842) imply:
% 43.35/6.80  | | | |   (2843)  all_4_1 = e3
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | SIMP: (2843) implies:
% 43.35/6.80  | | | |   (2844)  all_4_1 = e3
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | REDUCE: (488), (2844) imply:
% 43.35/6.80  | | | |   (2845)  $false
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | CLOSE: (2845) is inconsistent.
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | End of split
% 43.35/6.80  | | | 
% 43.35/6.80  | | Case 2:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (2846)  all_8_46 = e4
% 43.35/6.80  | | | 
% 43.35/6.80  | | | COMBINE_EQS: (398), (2846) imply:
% 43.35/6.80  | | |   (2847)  e4 = e1
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (7), (2847) imply:
% 43.35/6.80  | | |   (2848)  $false
% 43.35/6.80  | | | 
% 43.35/6.80  | | | CLOSE: (2848) is inconsistent.
% 43.35/6.80  | | | 
% 43.35/6.80  | | End of split
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #1 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)   ~ (all_4_8 = e2)
% 43.35/6.80    (2)  all_10_7 = e4
% 43.35/6.80    (3)   ~ (e3 = e2)
% 43.35/6.80    (4)  all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 |
% 43.35/6.80         all_10_21 = e2
% 43.35/6.80    (5)  all_10_21 = e0
% 43.35/6.80    (6)   ~ (e2 = e1)
% 43.35/6.80    (7)   ~ (e2 = e0)
% 43.35/6.80    (8)  all_10_13 = all_4_8
% 43.35/6.80    (9)  all_10_1 = e3
% 43.35/6.80    (10)   ~ (e4 = e2)
% 43.35/6.80    (11)  all_10_3 = e1
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | BETA: splitting (4) gives:
% 43.35/6.80  | 
% 43.35/6.80  | Case 1:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (12)  all_10_1 = e2
% 43.35/6.80  | | 
% 43.35/6.80  | | COMBINE_EQS: (9), (12) imply:
% 43.35/6.80  | |   (13)  e3 = e2
% 43.35/6.80  | | 
% 43.35/6.80  | | REDUCE: (3), (13) imply:
% 43.35/6.80  | |   (14)  $false
% 43.35/6.80  | | 
% 43.35/6.80  | | CLOSE: (14) is inconsistent.
% 43.35/6.80  | | 
% 43.35/6.80  | Case 2:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (15)  all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 43.35/6.80  | | 
% 43.35/6.80  | | BETA: splitting (15) gives:
% 43.35/6.80  | | 
% 43.35/6.80  | | Case 1:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (16)  all_10_3 = e2
% 43.35/6.80  | | | 
% 43.35/6.80  | | | COMBINE_EQS: (11), (16) imply:
% 43.35/6.80  | | |   (17)  e2 = e1
% 43.35/6.80  | | | 
% 43.35/6.80  | | | SIMP: (17) implies:
% 43.35/6.80  | | |   (18)  e2 = e1
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (6), (18) imply:
% 43.35/6.80  | | |   (19)  $false
% 43.35/6.80  | | | 
% 43.35/6.80  | | | CLOSE: (19) is inconsistent.
% 43.35/6.80  | | | 
% 43.35/6.80  | | Case 2:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (20)  all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2
% 43.35/6.80  | | | 
% 43.35/6.80  | | | BETA: splitting (20) gives:
% 43.35/6.80  | | | 
% 43.35/6.80  | | | Case 1:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (21)  all_10_7 = e2
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | COMBINE_EQS: (2), (21) imply:
% 43.35/6.80  | | | |   (22)  e4 = e2
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | REDUCE: (10), (22) imply:
% 43.35/6.80  | | | |   (23)  $false
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | CLOSE: (23) is inconsistent.
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | Case 2:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (24)  all_10_13 = e2 | all_10_21 = e2
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | BETA: splitting (24) gives:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | Case 1:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (25)  all_10_13 = e2
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | REF_CLOSE: (1), (8), (25) are inconsistent by sub-proof #45.
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | Case 2:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (26)  all_10_21 = e2
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | COMBINE_EQS: (5), (26) imply:
% 43.35/6.80  | | | | |   (27)  e2 = e0
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | REDUCE: (7), (27) imply:
% 43.35/6.80  | | | | |   (28)  $false
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | CLOSE: (28) is inconsistent.
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | End of split
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | End of split
% 43.35/6.80  | | | 
% 43.35/6.80  | | End of split
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #2 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)  all_10_9 = all_4_15
% 43.35/6.80    (2)  all_10_9 = e4
% 43.35/6.80    (3)   ~ (all_4_15 = e4)
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.80  |   (4)  all_4_15 = e4
% 43.35/6.80  | 
% 43.35/6.80  | SIMP: (4) implies:
% 43.35/6.80  |   (5)  all_4_15 = e4
% 43.35/6.80  | 
% 43.35/6.80  | REDUCE: (3), (5) imply:
% 43.35/6.80  |   (6)  $false
% 43.35/6.80  | 
% 43.35/6.80  | CLOSE: (6) is inconsistent.
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #3 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)  all_10_6 = e3
% 43.35/6.80    (2)  all_10_6 = e1
% 43.35/6.80    (3)   ~ (e3 = e1)
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.80  |   (4)  e3 = e1
% 43.35/6.80  | 
% 43.35/6.80  | SIMP: (4) implies:
% 43.35/6.80  |   (5)  e3 = e1
% 43.35/6.80  | 
% 43.35/6.80  | REDUCE: (3), (5) imply:
% 43.35/6.80  |   (6)  $false
% 43.35/6.80  | 
% 43.35/6.80  | CLOSE: (6) is inconsistent.
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #4 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)   ~ (all_4_5 = e1)
% 43.35/6.80    (2)   ~ (all_4_5 = e2)
% 43.35/6.80    (3)   ~ (all_4_5 = all_4_20)
% 43.35/6.80    (4)   ~ (all_4_5 = e3)
% 43.35/6.80    (5)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 43.35/6.80    (6)  all_8_49 = all_4_0
% 43.35/6.80    (7)   ~ (all_4_0 = e3)
% 43.35/6.80    (8)   ~ (all_4_0 = all_4_5)
% 43.35/6.80    (9)   ~ (all_4_0 = e1)
% 43.35/6.80    (10)   ~ (all_4_5 = e0)
% 43.35/6.80    (11)   ~ (all_8_49 = e0) | all_8_48 = e4
% 43.35/6.80    (12)   ~ (all_4_0 = e2)
% 43.35/6.80    (13)  all_6_0 = all_4_0
% 43.35/6.80    (14)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 43.35/6.80    (15)  all_6_1 = all_4_5
% 43.35/6.80    (16)  all_8_48 = all_4_20
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | BETA: splitting (14) gives:
% 43.35/6.80  | 
% 43.35/6.80  | Case 1:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (17)  all_6_1 = e1
% 43.35/6.80  | | 
% 43.35/6.80  | | REF_CLOSE: (1), (15), (17) are inconsistent by sub-proof #54.
% 43.35/6.80  | | 
% 43.35/6.80  | Case 2:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (18)  all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 43.35/6.80  | | 
% 43.35/6.80  | | BETA: splitting (18) gives:
% 43.35/6.80  | | 
% 43.35/6.80  | | Case 1:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (19)  all_6_1 = e4
% 43.35/6.80  | | | 
% 43.35/6.80  | | | COMBINE_EQS: (15), (19) imply:
% 43.35/6.80  | | |   (20)  all_4_5 = e4
% 43.35/6.80  | | | 
% 43.35/6.80  | | | SIMP: (20) implies:
% 43.35/6.80  | | |   (21)  all_4_5 = e4
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (8), (21) imply:
% 43.35/6.80  | | |   (22)   ~ (all_4_0 = e4)
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (3), (21) imply:
% 43.35/6.80  | | |   (23)   ~ (all_4_20 = e4)
% 43.35/6.80  | | | 
% 43.35/6.80  | | | SIMP: (23) implies:
% 43.35/6.80  | | |   (24)   ~ (all_4_20 = e4)
% 43.35/6.80  | | | 
% 43.35/6.80  | | | BETA: splitting (11) gives:
% 43.35/6.80  | | | 
% 43.35/6.80  | | | Case 1:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (25)   ~ (all_8_49 = e0)
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | REDUCE: (6), (25) imply:
% 43.35/6.80  | | | |   (26)   ~ (all_4_0 = e0)
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | BETA: splitting (5) gives:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | Case 1:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (27)  all_6_0 = e1
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | REF_CLOSE: (9), (13), (27) are inconsistent by sub-proof #78.
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | Case 2:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (28)  all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | BETA: splitting (28) gives:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | Case 1:
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | |   (29)  all_6_0 = e4
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | | REF_CLOSE: (13), (22), (29) are inconsistent by sub-proof #5.
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | Case 2:
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | |   (30)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | | REF_CLOSE: (7), (12), (13), (26), (30) are inconsistent by sub-proof
% 43.35/6.80  | | | | | |            #58.
% 43.35/6.80  | | | | | | 
% 43.35/6.80  | | | | | End of split
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | End of split
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | Case 2:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (31)  all_8_48 = e4
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | COMBINE_EQS: (16), (31) imply:
% 43.35/6.80  | | | |   (32)  all_4_20 = e4
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | SIMP: (32) implies:
% 43.35/6.80  | | | |   (33)  all_4_20 = e4
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | REDUCE: (24), (33) imply:
% 43.35/6.80  | | | |   (34)  $false
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | CLOSE: (34) is inconsistent.
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | End of split
% 43.35/6.80  | | | 
% 43.35/6.80  | | Case 2:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (35)  all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0
% 43.35/6.80  | | | 
% 43.35/6.80  | | | BETA: splitting (35) gives:
% 43.35/6.80  | | | 
% 43.35/6.80  | | | Case 1:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (36)  all_6_1 = e2
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | REF_CLOSE: (2), (15), (36) are inconsistent by sub-proof #53.
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | Case 2:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | |   (37)  all_6_1 = e3 | all_6_1 = e0
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | BETA: splitting (37) gives:
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | | Case 1:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (38)  all_6_1 = e3
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | REF_CLOSE: (4), (15), (38) are inconsistent by sub-proof #52.
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | Case 2:
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | |   (39)  all_6_1 = e0
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | COMBINE_EQS: (15), (39) imply:
% 43.35/6.80  | | | | |   (40)  all_4_5 = e0
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | SIMP: (40) implies:
% 43.35/6.80  | | | | |   (41)  all_4_5 = e0
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | REDUCE: (10), (41) imply:
% 43.35/6.80  | | | | |   (42)  $false
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | | CLOSE: (42) is inconsistent.
% 43.35/6.80  | | | | | 
% 43.35/6.80  | | | | End of split
% 43.35/6.80  | | | | 
% 43.35/6.80  | | | End of split
% 43.35/6.80  | | | 
% 43.35/6.80  | | End of split
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #5 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)  all_6_0 = all_4_0
% 43.35/6.80    (2)  all_6_0 = e4
% 43.35/6.80    (3)   ~ (all_4_0 = e4)
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.80  |   (4)  all_4_0 = e4
% 43.35/6.80  | 
% 43.35/6.80  | SIMP: (4) implies:
% 43.35/6.80  |   (5)  all_4_0 = e4
% 43.35/6.80  | 
% 43.35/6.80  | REDUCE: (3), (5) imply:
% 43.35/6.80  |   (6)  $false
% 43.35/6.80  | 
% 43.35/6.80  | CLOSE: (6) is inconsistent.
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #6 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)  all_6_23 = e3 | all_6_23 = e0
% 43.35/6.80    (2)  all_6_23 = all_4_19
% 43.35/6.80    (3)   ~ (all_4_19 = e3)
% 43.35/6.80    (4)   ~ (all_4_19 = e0)
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | BETA: splitting (1) gives:
% 43.35/6.80  | 
% 43.35/6.80  | Case 1:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (5)  all_6_23 = e3
% 43.35/6.80  | | 
% 43.35/6.80  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.80  | |   (6)  all_4_19 = e3
% 43.35/6.80  | | 
% 43.35/6.80  | | REDUCE: (3), (6) imply:
% 43.35/6.80  | |   (7)  $false
% 43.35/6.80  | | 
% 43.35/6.80  | | CLOSE: (7) is inconsistent.
% 43.35/6.80  | | 
% 43.35/6.80  | Case 2:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (8)  all_6_23 = e0
% 43.35/6.80  | | 
% 43.35/6.80  | | COMBINE_EQS: (2), (8) imply:
% 43.35/6.80  | |   (9)  all_4_19 = e0
% 43.35/6.80  | | 
% 43.35/6.80  | | REDUCE: (4), (9) imply:
% 43.35/6.80  | |   (10)  $false
% 43.35/6.80  | | 
% 43.35/6.80  | | CLOSE: (10) is inconsistent.
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #7 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)  all_10_8 = e0
% 43.35/6.80    (2)  all_10_18 = e2
% 43.35/6.80    (3)  all_10_11 = e1
% 43.35/6.80    (4)  all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4
% 43.35/6.80    (5)   ~ (e4 = e1)
% 43.35/6.80    (6)   ~ (e4 = e2)
% 43.35/6.80    (7)   ~ (e4 = e0)
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | BETA: splitting (4) gives:
% 43.35/6.80  | 
% 43.35/6.80  | Case 1:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (8)  all_10_8 = e4
% 43.35/6.80  | | 
% 43.35/6.80  | | REF_CLOSE: (1), (7), (8) are inconsistent by sub-proof #8.
% 43.35/6.80  | | 
% 43.35/6.80  | Case 2:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (9)  all_10_11 = e4 | all_10_18 = e4
% 43.35/6.80  | | 
% 43.35/6.80  | | BETA: splitting (9) gives:
% 43.35/6.80  | | 
% 43.35/6.80  | | Case 1:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (10)  all_10_11 = e4
% 43.35/6.80  | | | 
% 43.35/6.80  | | | COMBINE_EQS: (3), (10) imply:
% 43.35/6.80  | | |   (11)  e4 = e1
% 43.35/6.80  | | | 
% 43.35/6.80  | | | SIMP: (11) implies:
% 43.35/6.80  | | |   (12)  e4 = e1
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (5), (12) imply:
% 43.35/6.80  | | |   (13)  $false
% 43.35/6.80  | | | 
% 43.35/6.80  | | | CLOSE: (13) is inconsistent.
% 43.35/6.80  | | | 
% 43.35/6.80  | | Case 2:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (14)  all_10_18 = e4
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REF_CLOSE: (2), (6), (14) are inconsistent by sub-proof #12.
% 43.35/6.80  | | | 
% 43.35/6.80  | | End of split
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #8 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)  all_10_8 = e4
% 43.35/6.80    (2)  all_10_8 = e0
% 43.35/6.80    (3)   ~ (e4 = e0)
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.80  |   (4)  e4 = e0
% 43.35/6.80  | 
% 43.35/6.80  | SIMP: (4) implies:
% 43.35/6.80  |   (5)  e4 = e0
% 43.35/6.80  | 
% 43.35/6.80  | REDUCE: (3), (5) imply:
% 43.35/6.80  |   (6)  $false
% 43.35/6.80  | 
% 43.35/6.80  | CLOSE: (6) is inconsistent.
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #9 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)   ~ (all_4_16 = e0)
% 43.35/6.80    (2)   ~ (all_4_16 = e4)
% 43.35/6.80    (3)  all_6_8 = all_4_16
% 43.35/6.80    (4)   ~ (all_4_16 = e2)
% 43.35/6.80    (5)   ~ (all_4_16 = e3)
% 43.35/6.80    (6)  all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | BETA: splitting (6) gives:
% 43.35/6.80  | 
% 43.35/6.80  | Case 1:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (7)  all_6_8 = e4
% 43.35/6.80  | | 
% 43.35/6.80  | | COMBINE_EQS: (3), (7) imply:
% 43.35/6.80  | |   (8)  all_4_16 = e4
% 43.35/6.80  | | 
% 43.35/6.80  | | SIMP: (8) implies:
% 43.35/6.80  | |   (9)  all_4_16 = e4
% 43.35/6.80  | | 
% 43.35/6.80  | | REDUCE: (2), (9) imply:
% 43.35/6.80  | |   (10)  $false
% 43.35/6.80  | | 
% 43.35/6.80  | | CLOSE: (10) is inconsistent.
% 43.35/6.80  | | 
% 43.35/6.80  | Case 2:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (11)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 43.35/6.80  | | 
% 43.35/6.80  | | REF_CLOSE: (1), (3), (4), (5), (11) are inconsistent by sub-proof #10.
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #10 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)   ~ (all_4_16 = e0)
% 43.35/6.80    (2)  all_6_8 = all_4_16
% 43.35/6.80    (3)   ~ (all_4_16 = e2)
% 43.35/6.80    (4)   ~ (all_4_16 = e3)
% 43.35/6.80    (5)  all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0
% 43.35/6.80  
% 43.35/6.80  Begin of proof
% 43.35/6.80  | 
% 43.35/6.80  | BETA: splitting (5) gives:
% 43.35/6.80  | 
% 43.35/6.80  | Case 1:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (6)  all_6_8 = e2
% 43.35/6.80  | | 
% 43.35/6.80  | | COMBINE_EQS: (2), (6) imply:
% 43.35/6.80  | |   (7)  all_4_16 = e2
% 43.35/6.80  | | 
% 43.35/6.80  | | SIMP: (7) implies:
% 43.35/6.80  | |   (8)  all_4_16 = e2
% 43.35/6.80  | | 
% 43.35/6.80  | | REDUCE: (3), (8) imply:
% 43.35/6.80  | |   (9)  $false
% 43.35/6.80  | | 
% 43.35/6.80  | | CLOSE: (9) is inconsistent.
% 43.35/6.80  | | 
% 43.35/6.80  | Case 2:
% 43.35/6.80  | | 
% 43.35/6.80  | |   (10)  all_6_8 = e3 | all_6_8 = e0
% 43.35/6.80  | | 
% 43.35/6.80  | | BETA: splitting (10) gives:
% 43.35/6.80  | | 
% 43.35/6.80  | | Case 1:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (11)  all_6_8 = e3
% 43.35/6.80  | | | 
% 43.35/6.80  | | | COMBINE_EQS: (2), (11) imply:
% 43.35/6.80  | | |   (12)  all_4_16 = e3
% 43.35/6.80  | | | 
% 43.35/6.80  | | | SIMP: (12) implies:
% 43.35/6.80  | | |   (13)  all_4_16 = e3
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (4), (13) imply:
% 43.35/6.80  | | |   (14)  $false
% 43.35/6.80  | | | 
% 43.35/6.80  | | | CLOSE: (14) is inconsistent.
% 43.35/6.80  | | | 
% 43.35/6.80  | | Case 2:
% 43.35/6.80  | | | 
% 43.35/6.80  | | |   (15)  all_6_8 = e0
% 43.35/6.80  | | | 
% 43.35/6.80  | | | COMBINE_EQS: (2), (15) imply:
% 43.35/6.80  | | |   (16)  all_4_16 = e0
% 43.35/6.80  | | | 
% 43.35/6.80  | | | SIMP: (16) implies:
% 43.35/6.80  | | |   (17)  all_4_16 = e0
% 43.35/6.80  | | | 
% 43.35/6.80  | | | REDUCE: (1), (17) imply:
% 43.35/6.80  | | |   (18)  $false
% 43.35/6.80  | | | 
% 43.35/6.80  | | | CLOSE: (18) is inconsistent.
% 43.35/6.80  | | | 
% 43.35/6.80  | | End of split
% 43.35/6.80  | | 
% 43.35/6.80  | End of split
% 43.35/6.80  | 
% 43.35/6.80  End of proof
% 43.35/6.80  
% 43.35/6.80  Sub-proof #11 shows that the following formulas are inconsistent:
% 43.35/6.80  ----------------------------------------------------------------
% 43.35/6.80    (1)   ~ (all_4_16 = e0)
% 43.35/6.80    (2)  all_8_41 = e0
% 43.35/6.80    (3)  all_10_5 = all_4_11
% 43.35/6.80    (4)  all_10_17 = all_4_21
% 43.35/6.81    (5)   ! [v0: $i] :  ! [v1: $i] :  ! [v2: $i] :  ! [v3: $i] : (v1 = v0 |  ~
% 43.35/6.81           (op(v3, v2) = v1) |  ~ (op(v3, v2) = v0))
% 43.35/6.81    (6)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39 =
% 43.35/6.81             e0)) | (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1 &  ~
% 43.35/6.81           (all_8_43 = e0))
% 43.35/6.81    (7)  all_10_10 = all_4_16
% 43.35/6.81    (8)  all_10_3 = e3
% 43.35/6.81    (9)   ~ (all_4_11 = e0)
% 43.35/6.81    (10)  all_10_2 = all_4_1
% 43.35/6.81    (11)  op(e3, all_4_21) = all_8_39
% 43.35/6.81    (12)  op(e4, e4) = e0
% 43.35/6.81    (13)   ~ (e3 = e0)
% 43.35/6.81    (14)  all_8_43 = e0
% 43.35/6.81    (15)  op(e4, e4) = all_8_37
% 43.35/6.81    (16)  all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 |
% 43.35/6.81          all_10_17 = e0
% 43.35/6.81    (17)   ~ (all_4_1 = e0)
% 43.35/6.81    (18)  op(e3, e0) = all_4_21
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | BETA: splitting (16) gives:
% 43.35/6.81  | 
% 43.35/6.81  | Case 1:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (19)  all_10_2 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | COMBINE_EQS: (10), (19) imply:
% 43.35/6.81  | |   (20)  all_4_1 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | REDUCE: (17), (20) imply:
% 43.35/6.81  | |   (21)  $false
% 43.35/6.81  | | 
% 43.35/6.81  | | CLOSE: (21) is inconsistent.
% 43.35/6.81  | | 
% 43.35/6.81  | Case 2:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (22)  all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | BETA: splitting (22) gives:
% 43.35/6.81  | | 
% 43.35/6.81  | | Case 1:
% 43.35/6.81  | | | 
% 43.35/6.81  | | |   (23)  all_10_3 = e0
% 43.35/6.81  | | | 
% 43.35/6.81  | | | COMBINE_EQS: (8), (23) imply:
% 43.35/6.81  | | |   (24)  e3 = e0
% 43.35/6.81  | | | 
% 43.35/6.81  | | | REDUCE: (13), (24) imply:
% 43.35/6.81  | | |   (25)  $false
% 43.35/6.81  | | | 
% 43.35/6.81  | | | CLOSE: (25) is inconsistent.
% 43.35/6.81  | | | 
% 43.35/6.81  | | Case 2:
% 43.35/6.81  | | | 
% 43.35/6.81  | | |   (26)  all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0
% 43.35/6.81  | | | 
% 43.35/6.81  | | | BETA: splitting (26) gives:
% 43.35/6.81  | | | 
% 43.35/6.81  | | | Case 1:
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | |   (27)  all_10_5 = e0
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | | COMBINE_EQS: (3), (27) imply:
% 43.35/6.81  | | | |   (28)  all_4_11 = e0
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | | REDUCE: (9), (28) imply:
% 43.35/6.81  | | | |   (29)  $false
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | | CLOSE: (29) is inconsistent.
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | Case 2:
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | |   (30)  all_10_10 = e0 | all_10_17 = e0
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | | BETA: splitting (30) gives:
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | | Case 1:
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | |   (31)  all_10_10 = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | COMBINE_EQS: (7), (31) imply:
% 43.35/6.81  | | | | |   (32)  all_4_16 = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | REDUCE: (1), (32) imply:
% 43.35/6.81  | | | | |   (33)  $false
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | CLOSE: (33) is inconsistent.
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | Case 2:
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | |   (34)  all_10_17 = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | COMBINE_EQS: (4), (34) imply:
% 43.35/6.81  | | | | |   (35)  all_4_21 = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | REDUCE: (11), (35) imply:
% 43.35/6.81  | | | | |   (36)  op(e3, e0) = all_8_39
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | REDUCE: (18), (35) imply:
% 43.35/6.81  | | | | |   (37)  op(e3, e0) = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | GROUND_INST: instantiating (5) with e0, all_8_39, e0, e3, simplifying
% 43.35/6.81  | | | | |              with (36), (37) gives:
% 43.35/6.81  | | | | |   (38)  all_8_39 = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | GROUND_INST: instantiating (5) with e0, all_8_37, e4, e4, simplifying
% 43.35/6.81  | | | | |              with (12), (15) gives:
% 43.35/6.81  | | | | |   (39)  all_8_37 = e0
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | | REF_CLOSE: (2), (6), (14), (38), (39) are inconsistent by sub-proof
% 43.35/6.81  | | | | |            #35.
% 43.35/6.81  | | | | | 
% 43.35/6.81  | | | | End of split
% 43.35/6.81  | | | | 
% 43.35/6.81  | | | End of split
% 43.35/6.81  | | | 
% 43.35/6.81  | | End of split
% 43.35/6.81  | | 
% 43.35/6.81  | End of split
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #12 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_10_18 = e4
% 43.35/6.81    (2)  all_10_18 = e2
% 43.35/6.81    (3)   ~ (e4 = e2)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  e4 = e2
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  e4 = e2
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #13 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_4 = e3 | all_6_4 = e0
% 43.35/6.81    (2)  all_6_4 = all_4_20
% 43.35/6.81    (3)   ~ (all_4_20 = e3)
% 43.35/6.81    (4)   ~ (all_4_20 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | BETA: splitting (1) gives:
% 43.35/6.81  | 
% 43.35/6.81  | Case 1:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (5)  all_6_4 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.81  | |   (6)  all_4_20 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | SIMP: (6) implies:
% 43.35/6.81  | |   (7)  all_4_20 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | REDUCE: (3), (7) imply:
% 43.35/6.81  | |   (8)  $false
% 43.35/6.81  | | 
% 43.35/6.81  | | CLOSE: (8) is inconsistent.
% 43.35/6.81  | | 
% 43.35/6.81  | Case 2:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (9)  all_6_4 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #20.
% 43.35/6.81  | | 
% 43.35/6.81  | End of split
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #14 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_3 = e3 | all_6_3 = e0
% 43.35/6.81    (2)  all_6_3 = all_4_15
% 43.35/6.81    (3)   ~ (all_4_15 = e3)
% 43.35/6.81    (4)   ~ (all_4_15 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | BETA: splitting (1) gives:
% 43.35/6.81  | 
% 43.35/6.81  | Case 1:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (5)  all_6_3 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.81  | |   (6)  all_4_15 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | SIMP: (6) implies:
% 43.35/6.81  | |   (7)  all_4_15 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | REDUCE: (3), (7) imply:
% 43.35/6.81  | |   (8)  $false
% 43.35/6.81  | | 
% 43.35/6.81  | | CLOSE: (8) is inconsistent.
% 43.35/6.81  | | 
% 43.35/6.81  | Case 2:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (9)  all_6_3 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #21.
% 43.35/6.81  | | 
% 43.35/6.81  | End of split
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #15 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_10_13 = all_4_8
% 43.35/6.81    (2)  all_10_13 = e1
% 43.35/6.81    (3)   ~ (all_4_8 = e1)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_8 = e1
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_8 = e1
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #16 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_23 = all_4_19
% 43.35/6.81    (2)  all_6_23 = e1
% 43.35/6.81    (3)   ~ (all_4_19 = e1)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_19 = e1
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_19 = e1
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #17 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_4 = all_4_20
% 43.35/6.81    (2)  all_6_4 = e2
% 43.35/6.81    (3)   ~ (all_4_20 = e2)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_20 = e2
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_20 = e2
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #18 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_12 = e3 | all_6_12 = e0
% 43.35/6.81    (2)  all_6_12 = all_4_12
% 43.35/6.81    (3)   ~ (all_4_12 = e3)
% 43.35/6.81    (4)   ~ (all_4_12 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | BETA: splitting (1) gives:
% 43.35/6.81  | 
% 43.35/6.81  | Case 1:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (5)  all_6_12 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.81  | |   (6)  all_4_12 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | SIMP: (6) implies:
% 43.35/6.81  | |   (7)  all_4_12 = e3
% 43.35/6.81  | | 
% 43.35/6.81  | | REDUCE: (3), (7) imply:
% 43.35/6.81  | |   (8)  $false
% 43.35/6.81  | | 
% 43.35/6.81  | | CLOSE: (8) is inconsistent.
% 43.35/6.81  | | 
% 43.35/6.81  | Case 2:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (9)  all_6_12 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | COMBINE_EQS: (2), (9) imply:
% 43.35/6.81  | |   (10)  all_4_12 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | SIMP: (10) implies:
% 43.35/6.81  | |   (11)  all_4_12 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | REDUCE: (4), (11) imply:
% 43.35/6.81  | |   (12)  $false
% 43.35/6.81  | | 
% 43.35/6.81  | | CLOSE: (12) is inconsistent.
% 43.35/6.81  | | 
% 43.35/6.81  | End of split
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #19 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)   ~ (all_4_14 = e0)
% 43.35/6.81    (2)  all_6_22 = all_4_14
% 43.35/6.81    (3)   ~ (all_4_14 = e3)
% 43.35/6.81    (4)   ~ (all_4_14 = e2)
% 43.35/6.81    (5)  all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | BETA: splitting (5) gives:
% 43.35/6.81  | 
% 43.35/6.81  | Case 1:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (6)  all_6_22 = e2
% 43.35/6.81  | | 
% 43.35/6.81  | | COMBINE_EQS: (2), (6) imply:
% 43.35/6.81  | |   (7)  all_4_14 = e2
% 43.35/6.81  | | 
% 43.35/6.81  | | REDUCE: (4), (7) imply:
% 43.35/6.81  | |   (8)  $false
% 43.35/6.81  | | 
% 43.35/6.81  | | CLOSE: (8) is inconsistent.
% 43.35/6.81  | | 
% 43.35/6.81  | Case 2:
% 43.35/6.81  | | 
% 43.35/6.81  | |   (9)  all_6_22 = e3 | all_6_22 = e0
% 43.35/6.81  | | 
% 43.35/6.81  | | BETA: splitting (9) gives:
% 43.35/6.81  | | 
% 43.35/6.81  | | Case 1:
% 43.35/6.81  | | | 
% 43.35/6.81  | | |   (10)  all_6_22 = e3
% 43.35/6.81  | | | 
% 43.35/6.81  | | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #36.
% 43.35/6.81  | | | 
% 43.35/6.81  | | Case 2:
% 43.35/6.81  | | | 
% 43.35/6.81  | | |   (11)  all_6_22 = e0
% 43.35/6.81  | | | 
% 43.35/6.81  | | | COMBINE_EQS: (2), (11) imply:
% 43.35/6.81  | | |   (12)  all_4_14 = e0
% 43.35/6.81  | | | 
% 43.35/6.81  | | | SIMP: (12) implies:
% 43.35/6.81  | | |   (13)  all_4_14 = e0
% 43.35/6.81  | | | 
% 43.35/6.81  | | | REDUCE: (1), (13) imply:
% 43.35/6.81  | | |   (14)  $false
% 43.35/6.81  | | | 
% 43.35/6.81  | | | CLOSE: (14) is inconsistent.
% 43.35/6.81  | | | 
% 43.35/6.81  | | End of split
% 43.35/6.81  | | 
% 43.35/6.81  | End of split
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #20 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_4 = all_4_20
% 43.35/6.81    (2)  all_6_4 = e0
% 43.35/6.81    (3)   ~ (all_4_20 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_20 = e0
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_20 = e0
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #21 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_3 = all_4_15
% 43.35/6.81    (2)  all_6_3 = e0
% 43.35/6.81    (3)   ~ (all_4_15 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_15 = e0
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_15 = e0
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #22 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_3 = all_4_15
% 43.35/6.81    (2)  all_6_3 = e2
% 43.35/6.81    (3)   ~ (all_4_15 = e2)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_15 = e2
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_15 = e2
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #23 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_3 = all_4_15
% 43.35/6.81    (2)  all_6_3 = e4
% 43.35/6.81    (3)   ~ (all_4_15 = e4)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_15 = e4
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_15 = e4
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #24 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_3 = all_4_15
% 43.35/6.81    (2)  all_6_3 = e1
% 43.35/6.81    (3)   ~ (all_4_15 = e1)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_15 = e1
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_15 = e1
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #25 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_4 = all_4_20
% 43.35/6.81    (2)  all_6_4 = e4
% 43.35/6.81    (3)   ~ (all_4_20 = e4)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_20 = e4
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_20 = e4
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #26 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_4 = all_4_20
% 43.35/6.81    (2)  all_6_4 = e1
% 43.35/6.81    (3)   ~ (all_4_20 = e1)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_20 = e1
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_20 = e1
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #27 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_10_15 = e2
% 43.35/6.81    (2)  all_10_15 = e0
% 43.35/6.81    (3)   ~ (e2 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  e2 = e0
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  e2 = e0
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #28 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_10_9 = e3
% 43.35/6.81    (2)  all_10_9 = e2
% 43.35/6.81    (3)   ~ (e3 = e2)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  e3 = e2
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  e3 = e2
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #29 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_20 = all_4_4
% 43.35/6.81    (2)  all_6_20 = e1
% 43.35/6.81    (3)   ~ (all_4_4 = e1)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_4 = e1
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_4 = e1
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #30 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_10_0 = e2
% 43.35/6.81    (2)  all_10_0 = e0
% 43.35/6.81    (3)   ~ (e2 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  e2 = e0
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  e2 = e0
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #31 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_6_17 = all_4_13
% 43.35/6.81    (2)  all_6_17 = e0
% 43.35/6.81    (3)   ~ (all_4_13 = e0)
% 43.35/6.81  
% 43.35/6.81  Begin of proof
% 43.35/6.81  | 
% 43.35/6.81  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.81  |   (4)  all_4_13 = e0
% 43.35/6.81  | 
% 43.35/6.81  | SIMP: (4) implies:
% 43.35/6.81  |   (5)  all_4_13 = e0
% 43.35/6.81  | 
% 43.35/6.81  | REDUCE: (3), (5) imply:
% 43.35/6.81  |   (6)  $false
% 43.35/6.81  | 
% 43.35/6.81  | CLOSE: (6) is inconsistent.
% 43.35/6.81  | 
% 43.35/6.81  End of proof
% 43.35/6.81  
% 43.35/6.81  Sub-proof #32 shows that the following formulas are inconsistent:
% 43.35/6.81  ----------------------------------------------------------------
% 43.35/6.81    (1)  all_10_20 = all_4_4
% 43.35/6.81    (2)  all_10_12 = all_4_3
% 43.35/6.81    (3)  all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0
% 43.35/6.81    (4)   ~ (e3 = e0)
% 43.35/6.81    (5)   ~ (all_4_3 = e0)
% 43.35/6.81    (6)  all_10_6 = e3
% 43.35/6.82    (7)   ~ (all_4_4 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (3) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (8)  all_10_6 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #51.
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (9)  all_10_12 = e0 | all_10_20 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (9) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (10)  all_10_12 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REF_CLOSE: (2), (5), (10) are inconsistent by sub-proof #33.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (11)  all_10_20 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | COMBINE_EQS: (1), (11) imply:
% 43.35/6.82  | | |   (12)  all_4_4 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | SIMP: (12) implies:
% 43.35/6.82  | | |   (13)  all_4_4 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (7), (13) imply:
% 43.35/6.82  | | |   (14)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (14) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #33 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_10_12 = all_4_3
% 43.35/6.82    (2)  all_10_12 = e0
% 43.35/6.82    (3)   ~ (all_4_3 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_3 = e0
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_3 = e0
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #34 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_10_2 = all_4_1
% 43.35/6.82    (2)  all_10_2 = e0
% 43.35/6.82    (3)   ~ (all_4_1 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_1 = e0
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_1 = e0
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #35 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_8_41 = e0
% 43.35/6.82    (2)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39 =
% 43.35/6.82             e0)) | (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1 &  ~
% 43.35/6.82           (all_8_43 = e0))
% 43.35/6.82    (3)  all_8_37 = e0
% 43.35/6.82    (4)  all_8_43 = e0
% 43.35/6.82    (5)  all_8_39 = e0
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (2) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (6)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39
% 43.35/6.82  | |            = e0))
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (6) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (7)  all_8_36 = e4 &  ~ (all_8_37 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | ALPHA: (7) implies:
% 43.35/6.82  | | |   (8)   ~ (all_8_37 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (3), (8) imply:
% 43.35/6.82  | | |   (9)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (9) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (10)  all_8_38 = e3 &  ~ (all_8_39 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | ALPHA: (10) implies:
% 43.35/6.82  | | |   (11)   ~ (all_8_39 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (5), (11) imply:
% 43.35/6.82  | | |   (12)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (12) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (13)  (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1 &  ~ (all_8_43
% 43.35/6.82  | |             = e0))
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (13) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (14)  all_8_40 = e2 &  ~ (all_8_41 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | ALPHA: (14) implies:
% 43.35/6.82  | | |   (15)   ~ (all_8_41 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (1), (15) imply:
% 43.35/6.82  | | |   (16)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (16) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (17)  all_8_42 = e1 &  ~ (all_8_43 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | ALPHA: (17) implies:
% 43.35/6.82  | | |   (18)   ~ (all_8_43 = e0)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (4), (18) imply:
% 43.35/6.82  | | |   (19)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (19) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #36 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_22 = all_4_14
% 43.35/6.82    (2)  all_6_22 = e3
% 43.35/6.82    (3)   ~ (all_4_14 = e3)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_14 = e3
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_14 = e3
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #37 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_17 = all_4_13
% 43.35/6.82    (2)  all_6_17 = e2
% 43.35/6.82    (3)   ~ (all_4_13 = e2)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_13 = e2
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_13 = e2
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #38 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_17 = all_4_13
% 43.35/6.82    (2)  all_6_17 = e4
% 43.35/6.82    (3)   ~ (all_4_13 = e4)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_13 = e4
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_13 = e4
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #39 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_17 = all_4_13
% 43.35/6.82    (2)  all_6_17 = e1
% 43.35/6.82    (3)   ~ (all_4_13 = e1)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_13 = e1
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_13 = e1
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #40 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_5 = all_4_1
% 43.35/6.82    (2)   ~ (all_10_2 = e1)
% 43.35/6.82    (3)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 43.35/6.82    (4)  all_10_12 = e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 |
% 43.35/6.82         all_10_19 = e2
% 43.35/6.82    (5)   ~ (all_4_3 = e3)
% 43.35/6.82    (6)   ~ (all_4_1 = all_4_3)
% 43.35/6.82    (7)  all_10_2 = all_4_1
% 43.35/6.82    (8)  all_10_12 = all_4_3
% 43.35/6.82    (9)  all_6_15 = all_4_3
% 43.35/6.82    (10)   ~ (all_4_1 = e4)
% 43.35/6.82    (11)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 43.35/6.82    (12)   ~ (all_4_3 = e0)
% 43.35/6.82    (13)   ~ (all_4_1 = e3)
% 43.35/6.82    (14)   ~ (all_4_1 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (2), (7) imply:
% 43.35/6.82  |   (15)   ~ (all_4_1 = e1)
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (3) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (16)  all_6_5 = e1
% 43.35/6.82  | | 
% 43.35/6.82  | | REF_CLOSE: (1), (15), (16) are inconsistent by sub-proof #43.
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (17)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (4) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (18)  all_10_12 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | COMBINE_EQS: (8), (18) imply:
% 43.35/6.82  | | |   (19)  all_4_3 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | SIMP: (19) implies:
% 43.35/6.82  | | |   (20)  all_4_3 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (6), (20) imply:
% 43.35/6.82  | | |   (21)   ~ (all_4_1 = e2)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REF_CLOSE: (1), (10), (13), (14), (17), (21) are inconsistent by sub-proof
% 43.35/6.82  | | |            #42.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (22)   ~ (all_10_12 = e2)
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REF_CLOSE: (5), (8), (9), (11), (12), (22) are inconsistent by sub-proof
% 43.35/6.82  | | |            #41.
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #41 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)   ~ (all_4_3 = e3)
% 43.35/6.82    (2)   ~ (all_10_12 = e2)
% 43.35/6.82    (3)  all_10_12 = all_4_3
% 43.35/6.82    (4)  all_6_15 = all_4_3
% 43.35/6.82    (5)  all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0
% 43.35/6.82    (6)   ~ (all_4_3 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (2), (3) imply:
% 43.35/6.82  |   (7)   ~ (all_4_3 = e2)
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (5) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (8)  all_6_15 = e2
% 43.35/6.82  | | 
% 43.35/6.82  | | COMBINE_EQS: (4), (8) imply:
% 43.35/6.82  | |   (9)  all_4_3 = e2
% 43.35/6.82  | | 
% 43.35/6.82  | | SIMP: (9) implies:
% 43.35/6.82  | |   (10)  all_4_3 = e2
% 43.35/6.82  | | 
% 43.35/6.82  | | REDUCE: (7), (10) imply:
% 43.35/6.82  | |   (11)  $false
% 43.35/6.82  | | 
% 43.35/6.82  | | CLOSE: (11) is inconsistent.
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (12)  all_6_15 = e3 | all_6_15 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | REF_CLOSE: (1), (4), (6), (12) are inconsistent by sub-proof #63.
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #42 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_5 = all_4_1
% 43.35/6.82    (2)   ~ (all_4_1 = e4)
% 43.35/6.82    (3)   ~ (all_4_1 = e2)
% 43.35/6.82    (4)  all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 43.35/6.82    (5)   ~ (all_4_1 = e3)
% 43.35/6.82    (6)   ~ (all_4_1 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (4) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (7)  all_6_5 = e4
% 43.35/6.82  | | 
% 43.35/6.82  | | COMBINE_EQS: (1), (7) imply:
% 43.35/6.82  | |   (8)  all_4_1 = e4
% 43.35/6.82  | | 
% 43.35/6.82  | | SIMP: (8) implies:
% 43.35/6.82  | |   (9)  all_4_1 = e4
% 43.35/6.82  | | 
% 43.35/6.82  | | REDUCE: (2), (9) imply:
% 43.35/6.82  | |   (10)  $false
% 43.35/6.82  | | 
% 43.35/6.82  | | CLOSE: (10) is inconsistent.
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (11)  all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (11) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (12)  all_6_5 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | COMBINE_EQS: (1), (12) imply:
% 43.35/6.82  | | |   (13)  all_4_1 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | SIMP: (13) implies:
% 43.35/6.82  | | |   (14)  all_4_1 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (3), (14) imply:
% 43.35/6.82  | | |   (15)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (15) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (16)  all_6_5 = e3 | all_6_5 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | BETA: splitting (16) gives:
% 43.35/6.82  | | | 
% 43.35/6.82  | | | Case 1:
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | |   (17)  all_6_5 = e3
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | COMBINE_EQS: (1), (17) imply:
% 43.35/6.82  | | | |   (18)  all_4_1 = e3
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | SIMP: (18) implies:
% 43.35/6.82  | | | |   (19)  all_4_1 = e3
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | REDUCE: (5), (19) imply:
% 43.35/6.82  | | | |   (20)  $false
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | CLOSE: (20) is inconsistent.
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | Case 2:
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | |   (21)  all_6_5 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | COMBINE_EQS: (1), (21) imply:
% 43.35/6.82  | | | |   (22)  all_4_1 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | SIMP: (22) implies:
% 43.35/6.82  | | | |   (23)  all_4_1 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | REDUCE: (6), (23) imply:
% 43.35/6.82  | | | |   (24)  $false
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | CLOSE: (24) is inconsistent.
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | End of split
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #43 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_5 = all_4_1
% 43.35/6.82    (2)  all_6_5 = e1
% 43.35/6.82    (3)   ~ (all_4_1 = e1)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_1 = e1
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_1 = e1
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #44 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_10_21 = all_4_9
% 43.35/6.82    (2)  all_10_3 = all_4_6
% 43.35/6.82    (3)   ~ (all_4_8 = e0)
% 43.35/6.82    (4)  all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0
% 43.35/6.82    (5)   ~ (all_4_7 = e0)
% 43.35/6.82    (6)  all_10_7 = all_4_7
% 43.35/6.82    (7)  all_10_13 = all_4_8
% 43.35/6.82    (8)   ~ (all_4_9 = e0)
% 43.35/6.82    (9)   ~ (all_4_6 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (4) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (10)  all_10_3 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | COMBINE_EQS: (2), (10) imply:
% 43.35/6.82  | |   (11)  all_4_6 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | REDUCE: (9), (11) imply:
% 43.35/6.82  | |   (12)  $false
% 43.35/6.82  | | 
% 43.35/6.82  | | CLOSE: (12) is inconsistent.
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (13)  all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (13) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (14)  all_10_7 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | COMBINE_EQS: (6), (14) imply:
% 43.35/6.82  | | |   (15)  all_4_7 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (5), (15) imply:
% 43.35/6.82  | | |   (16)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (16) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (17)  all_10_13 = e0 | all_10_21 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | BETA: splitting (17) gives:
% 43.35/6.82  | | | 
% 43.35/6.82  | | | Case 1:
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | |   (18)  all_10_13 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | COMBINE_EQS: (7), (18) imply:
% 43.35/6.82  | | | |   (19)  all_4_8 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | SIMP: (19) implies:
% 43.35/6.82  | | | |   (20)  all_4_8 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | REDUCE: (3), (20) imply:
% 43.35/6.82  | | | |   (21)  $false
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | CLOSE: (21) is inconsistent.
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | Case 2:
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | |   (22)  all_10_21 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | COMBINE_EQS: (1), (22) imply:
% 43.35/6.82  | | | |   (23)  all_4_9 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | SIMP: (23) implies:
% 43.35/6.82  | | | |   (24)  all_4_9 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | REDUCE: (8), (24) imply:
% 43.35/6.82  | | | |   (25)  $false
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | CLOSE: (25) is inconsistent.
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | End of split
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #45 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_10_13 = all_4_8
% 43.35/6.82    (2)  all_10_13 = e2
% 43.35/6.82    (3)   ~ (all_4_8 = e2)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.82  |   (4)  all_4_8 = e2
% 43.35/6.82  | 
% 43.35/6.82  | SIMP: (4) implies:
% 43.35/6.82  |   (5)  all_4_8 = e2
% 43.35/6.82  | 
% 43.35/6.82  | REDUCE: (3), (5) imply:
% 43.35/6.82  |   (6)  $false
% 43.35/6.82  | 
% 43.35/6.82  | CLOSE: (6) is inconsistent.
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #46 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)   ~ (all_4_4 = e4)
% 43.35/6.82    (2)   ~ (all_4_4 = e2)
% 43.35/6.82    (3)  all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0
% 43.35/6.82    (4)   ~ (all_4_4 = e3)
% 43.35/6.82    (5)  all_6_20 = all_4_4
% 43.35/6.82    (6)   ~ (all_4_4 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (3) gives:
% 43.35/6.82  | 
% 43.35/6.82  | Case 1:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (7)  all_6_20 = e4
% 43.35/6.82  | | 
% 43.35/6.82  | | COMBINE_EQS: (5), (7) imply:
% 43.35/6.82  | |   (8)  all_4_4 = e4
% 43.35/6.82  | | 
% 43.35/6.82  | | SIMP: (8) implies:
% 43.35/6.82  | |   (9)  all_4_4 = e4
% 43.35/6.82  | | 
% 43.35/6.82  | | REDUCE: (1), (9) imply:
% 43.35/6.82  | |   (10)  $false
% 43.35/6.82  | | 
% 43.35/6.82  | | CLOSE: (10) is inconsistent.
% 43.35/6.82  | | 
% 43.35/6.82  | Case 2:
% 43.35/6.82  | | 
% 43.35/6.82  | |   (11)  all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0
% 43.35/6.82  | | 
% 43.35/6.82  | | BETA: splitting (11) gives:
% 43.35/6.82  | | 
% 43.35/6.82  | | Case 1:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (12)  all_6_20 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | COMBINE_EQS: (5), (12) imply:
% 43.35/6.82  | | |   (13)  all_4_4 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | SIMP: (13) implies:
% 43.35/6.82  | | |   (14)  all_4_4 = e2
% 43.35/6.82  | | | 
% 43.35/6.82  | | | REDUCE: (2), (14) imply:
% 43.35/6.82  | | |   (15)  $false
% 43.35/6.82  | | | 
% 43.35/6.82  | | | CLOSE: (15) is inconsistent.
% 43.35/6.82  | | | 
% 43.35/6.82  | | Case 2:
% 43.35/6.82  | | | 
% 43.35/6.82  | | |   (16)  all_6_20 = e3 | all_6_20 = e0
% 43.35/6.82  | | | 
% 43.35/6.82  | | | BETA: splitting (16) gives:
% 43.35/6.82  | | | 
% 43.35/6.82  | | | Case 1:
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | |   (17)  all_6_20 = e3
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | COMBINE_EQS: (5), (17) imply:
% 43.35/6.82  | | | |   (18)  all_4_4 = e3
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | SIMP: (18) implies:
% 43.35/6.82  | | | |   (19)  all_4_4 = e3
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | REDUCE: (4), (19) imply:
% 43.35/6.82  | | | |   (20)  $false
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | CLOSE: (20) is inconsistent.
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | Case 2:
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | |   (21)  all_6_20 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | COMBINE_EQS: (5), (21) imply:
% 43.35/6.82  | | | |   (22)  all_4_4 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | SIMP: (22) implies:
% 43.35/6.82  | | | |   (23)  all_4_4 = e0
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | REDUCE: (6), (23) imply:
% 43.35/6.82  | | | |   (24)  $false
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | | CLOSE: (24) is inconsistent.
% 43.35/6.82  | | | | 
% 43.35/6.82  | | | End of split
% 43.35/6.82  | | | 
% 43.35/6.82  | | End of split
% 43.35/6.82  | | 
% 43.35/6.82  | End of split
% 43.35/6.82  | 
% 43.35/6.82  End of proof
% 43.35/6.82  
% 43.35/6.82  Sub-proof #47 shows that the following formulas are inconsistent:
% 43.35/6.82  ----------------------------------------------------------------
% 43.35/6.82    (1)  all_6_9 = e3 | all_6_9 = e0
% 43.35/6.82    (2)  all_6_9 = all_4_21
% 43.35/6.82    (3)   ~ (all_4_21 = e3)
% 43.35/6.82    (4)   ~ (all_4_21 = e0)
% 43.35/6.82  
% 43.35/6.82  Begin of proof
% 43.35/6.82  | 
% 43.35/6.82  | BETA: splitting (1) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (5)  all_6_9 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.83  | |   (6)  all_4_21 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (6) implies:
% 43.35/6.83  | |   (7)  all_4_21 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (3), (7) imply:
% 43.35/6.83  | |   (8)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (8) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (9)  all_6_9 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (2), (9) imply:
% 43.35/6.83  | |   (10)  all_4_21 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (10) implies:
% 43.35/6.83  | |   (11)  all_4_21 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (4), (11) imply:
% 43.35/6.83  | |   (12)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (12) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #48 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)   ~ (e3 = e1)
% 43.35/6.83    (2)  all_8_41 = e0
% 43.35/6.83    (3)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39 =
% 43.35/6.83             e0)) | (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1 &  ~
% 43.35/6.83           (all_8_43 = e0))
% 43.35/6.83    (4)  all_8_38 = e1
% 43.35/6.83    (5)  all_8_37 = e0
% 43.35/6.83    (6)  all_8_42 = e3
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (3) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (7)  (all_8_36 = e4 &  ~ (all_8_37 = e0)) | (all_8_38 = e3 &  ~ (all_8_39
% 43.35/6.83  | |            = e0))
% 43.35/6.83  | | 
% 43.35/6.83  | | BETA: splitting (7) gives:
% 43.35/6.83  | | 
% 43.35/6.83  | | Case 1:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (8)  all_8_36 = e4 &  ~ (all_8_37 = e0)
% 43.35/6.83  | | | 
% 43.35/6.83  | | | ALPHA: (8) implies:
% 43.35/6.83  | | |   (9)   ~ (all_8_37 = e0)
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (5), (9) imply:
% 43.35/6.83  | | |   (10)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (10) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | Case 2:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (11)  all_8_38 = e3 &  ~ (all_8_39 = e0)
% 43.35/6.83  | | | 
% 43.35/6.83  | | | ALPHA: (11) implies:
% 43.35/6.83  | | |   (12)  all_8_38 = e3
% 43.35/6.83  | | | 
% 43.35/6.83  | | | COMBINE_EQS: (4), (12) imply:
% 43.35/6.83  | | |   (13)  e3 = e1
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (1), (13) imply:
% 43.35/6.83  | | |   (14)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (14) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | End of split
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (15)  (all_8_40 = e2 &  ~ (all_8_41 = e0)) | (all_8_42 = e1 &  ~ (all_8_43
% 43.35/6.83  | |             = e0))
% 43.35/6.83  | | 
% 43.35/6.83  | | BETA: splitting (15) gives:
% 43.35/6.83  | | 
% 43.35/6.83  | | Case 1:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (16)  all_8_40 = e2 &  ~ (all_8_41 = e0)
% 43.35/6.83  | | | 
% 43.35/6.83  | | | ALPHA: (16) implies:
% 43.35/6.83  | | |   (17)   ~ (all_8_41 = e0)
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (2), (17) imply:
% 43.35/6.83  | | |   (18)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (18) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | Case 2:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (19)  all_8_42 = e1 &  ~ (all_8_43 = e0)
% 43.35/6.83  | | | 
% 43.35/6.83  | | | ALPHA: (19) implies:
% 43.35/6.83  | | |   (20)  all_8_42 = e1
% 43.35/6.83  | | | 
% 43.35/6.83  | | | COMBINE_EQS: (6), (20) imply:
% 43.35/6.83  | | |   (21)  e3 = e1
% 43.35/6.83  | | | 
% 43.35/6.83  | | | SIMP: (21) implies:
% 43.35/6.83  | | |   (22)  e3 = e1
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (1), (22) imply:
% 43.35/6.83  | | |   (23)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (23) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | End of split
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #49 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_9 = all_4_21
% 43.35/6.83    (2)  all_6_9 = e1
% 43.35/6.83    (3)   ~ (all_4_21 = e1)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_21 = e1
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_21 = e1
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #50 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_11 = all_4_17
% 43.35/6.83    (2)  all_10_11 = e0
% 43.35/6.83    (3)   ~ (all_4_17 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_17 = e0
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_17 = e0
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #51 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_6 = e3
% 43.35/6.83    (2)  all_10_6 = e0
% 43.35/6.83    (3)   ~ (e3 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  e3 = e0
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  e3 = e0
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #52 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_1 = all_4_5
% 43.35/6.83    (2)  all_6_1 = e3
% 43.35/6.83    (3)   ~ (all_4_5 = e3)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_5 = e3
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_5 = e3
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #53 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_1 = all_4_5
% 43.35/6.83    (2)  all_6_1 = e2
% 43.35/6.83    (3)   ~ (all_4_5 = e2)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_5 = e2
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_5 = e2
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #54 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_1 = all_4_5
% 43.35/6.83    (2)  all_6_1 = e1
% 43.35/6.83    (3)   ~ (all_4_5 = e1)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_5 = e1
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_5 = e1
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #55 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_6 = all_4_6
% 43.35/6.83    (2)  all_6_6 = e0
% 43.35/6.83    (3)   ~ (all_4_6 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_6 = e0
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_6 = e0
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #56 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_24 = all_4_24
% 43.35/6.83    (2)   ~ (e3 = e1)
% 43.35/6.83    (3)  all_10_18 = all_4_22
% 43.35/6.83    (4)   ~ (all_4_22 = e3)
% 43.35/6.83    (5)  all_10_17 = all_4_21
% 43.35/6.83    (6)   ~ (all_4_21 = e3)
% 43.35/6.83    (7)  all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3
% 43.35/6.83    (8)   ~ (all_4_24 = e3)
% 43.35/6.83    (9)  all_10_19 = e1
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (7) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (10)  all_10_17 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (5), (10) imply:
% 43.35/6.83  | |   (11)  all_4_21 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (6), (11) imply:
% 43.35/6.83  | |   (12)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (12) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (13)  all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | REF_CLOSE: (1), (2), (3), (4), (8), (9), (13) are inconsistent by sub-proof
% 43.35/6.83  | |            #57.
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #57 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_24 = all_4_24
% 43.35/6.83    (2)   ~ (e3 = e1)
% 43.35/6.83    (3)  all_10_18 = all_4_22
% 43.35/6.83    (4)   ~ (all_4_22 = e3)
% 43.35/6.83    (5)  all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3
% 43.35/6.83    (6)   ~ (all_4_24 = e3)
% 43.35/6.83    (7)  all_10_19 = e1
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (5) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (8)  all_10_18 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (3), (8) imply:
% 43.35/6.83  | |   (9)  all_4_22 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (4), (9) imply:
% 43.35/6.83  | |   (10)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (10) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (11)  all_10_19 = e3 | all_10_24 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | BETA: splitting (11) gives:
% 43.35/6.83  | | 
% 43.35/6.83  | | Case 1:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (12)  all_10_19 = e3
% 43.35/6.83  | | | 
% 43.35/6.83  | | | COMBINE_EQS: (7), (12) imply:
% 43.35/6.83  | | |   (13)  e3 = e1
% 43.35/6.83  | | | 
% 43.35/6.83  | | | SIMP: (13) implies:
% 43.35/6.83  | | |   (14)  e3 = e1
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (2), (14) imply:
% 43.35/6.83  | | |   (15)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (15) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | Case 2:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (16)  all_10_24 = e3
% 43.35/6.83  | | | 
% 43.35/6.83  | | | COMBINE_EQS: (1), (16) imply:
% 43.35/6.83  | | |   (17)  all_4_24 = e3
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (6), (17) imply:
% 43.35/6.83  | | |   (18)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (18) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | End of split
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #58 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)   ~ (all_4_0 = e3)
% 43.35/6.83    (2)   ~ (all_4_0 = e2)
% 43.35/6.83    (3)  all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0
% 43.35/6.83    (4)  all_6_0 = all_4_0
% 43.35/6.83    (5)   ~ (all_4_0 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (3) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (6)  all_6_0 = e2
% 43.35/6.83  | | 
% 43.35/6.83  | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #60.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (7)  all_6_0 = e3 | all_6_0 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | BETA: splitting (7) gives:
% 43.35/6.83  | | 
% 43.35/6.83  | | Case 1:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (8)  all_6_0 = e3
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #59.
% 43.35/6.83  | | | 
% 43.35/6.83  | | Case 2:
% 43.35/6.83  | | | 
% 43.35/6.83  | | |   (9)  all_6_0 = e0
% 43.35/6.83  | | | 
% 43.35/6.83  | | | COMBINE_EQS: (4), (9) imply:
% 43.35/6.83  | | |   (10)  all_4_0 = e0
% 43.35/6.83  | | | 
% 43.35/6.83  | | | SIMP: (10) implies:
% 43.35/6.83  | | |   (11)  all_4_0 = e0
% 43.35/6.83  | | | 
% 43.35/6.83  | | | REDUCE: (5), (11) imply:
% 43.35/6.83  | | |   (12)  $false
% 43.35/6.83  | | | 
% 43.35/6.83  | | | CLOSE: (12) is inconsistent.
% 43.35/6.83  | | | 
% 43.35/6.83  | | End of split
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #59 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_0 = all_4_0
% 43.35/6.83    (2)  all_6_0 = e3
% 43.35/6.83    (3)   ~ (all_4_0 = e3)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_0 = e3
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_0 = e3
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #60 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_0 = all_4_0
% 43.35/6.83    (2)  all_6_0 = e2
% 43.35/6.83    (3)   ~ (all_4_0 = e2)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  all_4_0 = e2
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  all_4_0 = e2
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #61 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_16 = e3
% 43.35/6.83    (2)  all_10_9 = all_4_15
% 43.35/6.83    (3)   ~ (all_4_15 = e0)
% 43.35/6.83    (4)  all_10_9 = e0 | all_10_16 = e0
% 43.35/6.83    (5)   ~ (e3 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (4) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (6)  all_10_9 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (2), (6) imply:
% 43.35/6.83  | |   (7)  all_4_15 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (7) implies:
% 43.35/6.83  | |   (8)  all_4_15 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (3), (8) imply:
% 43.35/6.83  | |   (9)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (9) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (10)  all_10_16 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (1), (10) imply:
% 43.35/6.83  | |   (11)  e3 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (11) implies:
% 43.35/6.83  | |   (12)  e3 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (5), (12) imply:
% 43.35/6.83  | |   (13)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (13) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #62 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_4 = e1
% 43.35/6.83    (2)  all_10_4 = e0
% 43.35/6.83    (3)   ~ (e1 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.83  |   (4)  e1 = e0
% 43.35/6.83  | 
% 43.35/6.83  | SIMP: (4) implies:
% 43.35/6.83  |   (5)  e1 = e0
% 43.35/6.83  | 
% 43.35/6.83  | REDUCE: (3), (5) imply:
% 43.35/6.83  |   (6)  $false
% 43.35/6.83  | 
% 43.35/6.83  | CLOSE: (6) is inconsistent.
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #63 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_6_15 = e3 | all_6_15 = e0
% 43.35/6.83    (2)  all_6_15 = all_4_3
% 43.35/6.83    (3)   ~ (all_4_3 = e3)
% 43.35/6.83    (4)   ~ (all_4_3 = e0)
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (1) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (5)  all_6_15 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.83  | |   (6)  all_4_3 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (6) implies:
% 43.35/6.83  | |   (7)  all_4_3 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (3), (7) imply:
% 43.35/6.83  | |   (8)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (8) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (9)  all_6_15 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (2), (9) imply:
% 43.35/6.83  | |   (10)  all_4_3 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (10) implies:
% 43.35/6.83  | |   (11)  all_4_3 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (4), (11) imply:
% 43.35/6.83  | |   (12)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (12) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #64 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)   ~ (e3 = e1)
% 43.35/6.83    (2)  all_10_15 = e0
% 43.35/6.83    (3)  all_10_15 = e3 | all_10_19 = e3
% 43.35/6.83    (4)   ~ (e3 = e0)
% 43.35/6.83    (5)  all_10_19 = e1
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (3) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (6)  all_10_15 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (2), (6) imply:
% 43.35/6.83  | |   (7)  e3 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (7) implies:
% 43.35/6.83  | |   (8)  e3 = e0
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (4), (8) imply:
% 43.35/6.83  | |   (9)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (9) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | Case 2:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (10)  all_10_19 = e3
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (5), (10) imply:
% 43.35/6.83  | |   (11)  e3 = e1
% 43.35/6.83  | | 
% 43.35/6.83  | | REDUCE: (1), (11) imply:
% 43.35/6.83  | |   (12)  $false
% 43.35/6.83  | | 
% 43.35/6.83  | | CLOSE: (12) is inconsistent.
% 43.35/6.83  | | 
% 43.35/6.83  | End of split
% 43.35/6.83  | 
% 43.35/6.83  End of proof
% 43.35/6.83  
% 43.35/6.83  Sub-proof #65 shows that the following formulas are inconsistent:
% 43.35/6.83  ----------------------------------------------------------------
% 43.35/6.83    (1)  all_10_15 = e0
% 43.35/6.83    (2)  all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 | all_10_19 = e4
% 43.35/6.83    (3)   ~ (e4 = e3)
% 43.35/6.83    (4)   ~ (e4 = e1)
% 43.35/6.83    (5)  all_10_14 = e3
% 43.35/6.83    (6)  all_10_13 = all_4_8
% 43.35/6.83    (7)   ~ (e4 = e0)
% 43.35/6.83    (8)   ~ (all_4_8 = e4)
% 43.35/6.83    (9)  all_10_19 = e1
% 43.35/6.83  
% 43.35/6.83  Begin of proof
% 43.35/6.83  | 
% 43.35/6.83  | BETA: splitting (2) gives:
% 43.35/6.83  | 
% 43.35/6.83  | Case 1:
% 43.35/6.83  | | 
% 43.35/6.83  | |   (10)  all_10_13 = e4
% 43.35/6.83  | | 
% 43.35/6.83  | | COMBINE_EQS: (6), (10) imply:
% 43.35/6.83  | |   (11)  all_4_8 = e4
% 43.35/6.83  | | 
% 43.35/6.83  | | SIMP: (11) implies:
% 43.35/6.84  | |   (12)  all_4_8 = e4
% 43.35/6.84  | | 
% 43.35/6.84  | | REDUCE: (8), (12) imply:
% 43.35/6.84  | |   (13)  $false
% 43.35/6.84  | | 
% 43.35/6.84  | | CLOSE: (13) is inconsistent.
% 43.35/6.84  | | 
% 43.35/6.84  | Case 2:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (14)  all_10_14 = e4 | all_10_15 = e4 | all_10_19 = e4
% 43.35/6.84  | | 
% 43.35/6.84  | | REF_CLOSE: (1), (3), (4), (5), (7), (9), (14) are inconsistent by sub-proof
% 43.35/6.84  | |            #66.
% 43.35/6.84  | | 
% 43.35/6.84  | End of split
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #66 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_10_15 = e0
% 43.35/6.84    (2)  all_10_14 = e4 | all_10_15 = e4 | all_10_19 = e4
% 43.35/6.84    (3)   ~ (e4 = e3)
% 43.35/6.84    (4)   ~ (e4 = e1)
% 43.35/6.84    (5)  all_10_14 = e3
% 43.35/6.84    (6)   ~ (e4 = e0)
% 43.35/6.84    (7)  all_10_19 = e1
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | BETA: splitting (2) gives:
% 43.35/6.84  | 
% 43.35/6.84  | Case 1:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (8)  all_10_14 = e4
% 43.35/6.84  | | 
% 43.35/6.84  | | COMBINE_EQS: (5), (8) imply:
% 43.35/6.84  | |   (9)  e4 = e3
% 43.35/6.84  | | 
% 43.35/6.84  | | REDUCE: (3), (9) imply:
% 43.35/6.84  | |   (10)  $false
% 43.35/6.84  | | 
% 43.35/6.84  | | CLOSE: (10) is inconsistent.
% 43.35/6.84  | | 
% 43.35/6.84  | Case 2:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (11)  all_10_15 = e4 | all_10_19 = e4
% 43.35/6.84  | | 
% 43.35/6.84  | | BETA: splitting (11) gives:
% 43.35/6.84  | | 
% 43.35/6.84  | | Case 1:
% 43.35/6.84  | | | 
% 43.35/6.84  | | |   (12)  all_10_15 = e4
% 43.35/6.84  | | | 
% 43.35/6.84  | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #67.
% 43.35/6.84  | | | 
% 43.35/6.84  | | Case 2:
% 43.35/6.84  | | | 
% 43.35/6.84  | | |   (13)  all_10_19 = e4
% 43.35/6.84  | | | 
% 43.35/6.84  | | | COMBINE_EQS: (7), (13) imply:
% 43.35/6.84  | | |   (14)  e4 = e1
% 43.35/6.84  | | | 
% 43.35/6.84  | | | REDUCE: (4), (14) imply:
% 43.35/6.84  | | |   (15)  $false
% 43.35/6.84  | | | 
% 43.35/6.84  | | | CLOSE: (15) is inconsistent.
% 43.35/6.84  | | | 
% 43.35/6.84  | | End of split
% 43.35/6.84  | | 
% 43.35/6.84  | End of split
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #67 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_10_15 = e4
% 43.35/6.84    (2)  all_10_15 = e0
% 43.35/6.84    (3)   ~ (e4 = e0)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  e4 = e0
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  e4 = e0
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #68 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)   ~ (all_4_17 = e3)
% 43.35/6.84    (2)  all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0
% 43.35/6.84    (3)   ~ (all_4_17 = e0)
% 43.35/6.84    (4)  all_6_13 = all_4_17
% 43.35/6.84    (5)   ~ (all_4_17 = e2)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | BETA: splitting (2) gives:
% 43.35/6.84  | 
% 43.35/6.84  | Case 1:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (6)  all_6_13 = e2
% 43.35/6.84  | | 
% 43.35/6.84  | | COMBINE_EQS: (4), (6) imply:
% 43.35/6.84  | |   (7)  all_4_17 = e2
% 43.35/6.84  | | 
% 43.35/6.84  | | SIMP: (7) implies:
% 43.35/6.84  | |   (8)  all_4_17 = e2
% 43.35/6.84  | | 
% 43.35/6.84  | | REDUCE: (5), (8) imply:
% 43.35/6.84  | |   (9)  $false
% 43.35/6.84  | | 
% 43.35/6.84  | | CLOSE: (9) is inconsistent.
% 43.35/6.84  | | 
% 43.35/6.84  | Case 2:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (10)  all_6_13 = e3 | all_6_13 = e0
% 43.35/6.84  | | 
% 43.35/6.84  | | BETA: splitting (10) gives:
% 43.35/6.84  | | 
% 43.35/6.84  | | Case 1:
% 43.35/6.84  | | | 
% 43.35/6.84  | | |   (11)  all_6_13 = e3
% 43.35/6.84  | | | 
% 43.35/6.84  | | | COMBINE_EQS: (4), (11) imply:
% 43.35/6.84  | | |   (12)  all_4_17 = e3
% 43.35/6.84  | | | 
% 43.35/6.84  | | | SIMP: (12) implies:
% 43.35/6.84  | | |   (13)  all_4_17 = e3
% 43.35/6.84  | | | 
% 43.35/6.84  | | | REDUCE: (1), (13) imply:
% 43.35/6.84  | | |   (14)  $false
% 43.35/6.84  | | | 
% 43.35/6.84  | | | CLOSE: (14) is inconsistent.
% 43.35/6.84  | | | 
% 43.35/6.84  | | Case 2:
% 43.35/6.84  | | | 
% 43.35/6.84  | | |   (15)  all_6_13 = e0
% 43.35/6.84  | | | 
% 43.35/6.84  | | | COMBINE_EQS: (4), (15) imply:
% 43.35/6.84  | | |   (16)  all_4_17 = e0
% 43.35/6.84  | | | 
% 43.35/6.84  | | | SIMP: (16) implies:
% 43.35/6.84  | | |   (17)  all_4_17 = e0
% 43.35/6.84  | | | 
% 43.35/6.84  | | | REDUCE: (3), (17) imply:
% 43.35/6.84  | | |   (18)  $false
% 43.35/6.84  | | | 
% 43.35/6.84  | | | CLOSE: (18) is inconsistent.
% 43.35/6.84  | | | 
% 43.35/6.84  | | End of split
% 43.35/6.84  | | 
% 43.35/6.84  | End of split
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #69 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_21 = e3 | all_6_21 = e0
% 43.35/6.84    (2)  all_6_21 = all_4_9
% 43.35/6.84    (3)   ~ (all_4_9 = e3)
% 43.35/6.84    (4)   ~ (all_4_9 = e0)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | BETA: splitting (1) gives:
% 43.35/6.84  | 
% 43.35/6.84  | Case 1:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (5)  all_6_21 = e3
% 43.35/6.84  | | 
% 43.35/6.84  | | COMBINE_EQS: (2), (5) imply:
% 43.35/6.84  | |   (6)  all_4_9 = e3
% 43.35/6.84  | | 
% 43.35/6.84  | | SIMP: (6) implies:
% 43.35/6.84  | |   (7)  all_4_9 = e3
% 43.35/6.84  | | 
% 43.35/6.84  | | REDUCE: (3), (7) imply:
% 43.35/6.84  | |   (8)  $false
% 43.35/6.84  | | 
% 43.35/6.84  | | CLOSE: (8) is inconsistent.
% 43.35/6.84  | | 
% 43.35/6.84  | Case 2:
% 43.35/6.84  | | 
% 43.35/6.84  | |   (9)  all_6_21 = e0
% 43.35/6.84  | | 
% 43.35/6.84  | | COMBINE_EQS: (2), (9) imply:
% 43.35/6.84  | |   (10)  all_4_9 = e0
% 43.35/6.84  | | 
% 43.35/6.84  | | SIMP: (10) implies:
% 43.35/6.84  | |   (11)  all_4_9 = e0
% 43.35/6.84  | | 
% 43.35/6.84  | | REDUCE: (4), (11) imply:
% 43.35/6.84  | |   (12)  $false
% 43.35/6.84  | | 
% 43.35/6.84  | | CLOSE: (12) is inconsistent.
% 43.35/6.84  | | 
% 43.35/6.84  | End of split
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #70 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_24 = all_4_24
% 43.35/6.84    (2)  all_6_24 = e4
% 43.35/6.84    (3)   ~ (all_4_24 = e4)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_24 = e4
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_24 = e4
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #71 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_24 = all_4_24
% 43.35/6.84    (2)  all_6_24 = e1
% 43.35/6.84    (3)   ~ (all_4_24 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_24 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_24 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #72 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_13 = all_4_17
% 43.35/6.84    (2)  all_6_13 = e1
% 43.35/6.84    (3)   ~ (all_4_17 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_17 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_17 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #73 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_21 = all_4_9
% 43.35/6.84    (2)  all_6_21 = e1
% 43.35/6.84    (3)   ~ (all_4_9 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_9 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_9 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #74 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_10_8 = e2
% 43.35/6.84    (2)  all_10_8 = e0
% 43.35/6.84    (3)   ~ (e2 = e0)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  e2 = e0
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  e2 = e0
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #75 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_16 = all_4_8
% 43.35/6.84    (2)  all_6_16 = e1
% 43.35/6.84    (3)   ~ (all_4_8 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_8 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_8 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #76 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_15 = all_4_3
% 43.35/6.84    (2)  all_6_15 = e4
% 43.35/6.84    (3)   ~ (all_4_3 = e4)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_3 = e4
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_3 = e4
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #77 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_15 = all_4_3
% 43.35/6.84    (2)  all_6_15 = e1
% 43.35/6.84    (3)   ~ (all_4_3 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_3 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_3 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #78 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_0 = all_4_0
% 43.35/6.84    (2)  all_6_0 = e1
% 43.35/6.84    (3)   ~ (all_4_0 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_0 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_0 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #79 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_6 = all_4_6
% 43.35/6.84    (2)  all_6_6 = e2
% 43.35/6.84    (3)   ~ (all_4_6 = e2)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_6 = e2
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_6 = e2
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #80 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_6 = all_4_6
% 43.35/6.84    (2)  all_6_6 = e4
% 43.35/6.84    (3)   ~ (all_4_6 = e4)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_6 = e4
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_6 = e4
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #81 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_6 = all_4_6
% 43.35/6.84    (2)  all_6_6 = e1
% 43.35/6.84    (3)   ~ (all_4_6 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_6 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_6 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #82 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_12 = all_4_12
% 43.35/6.84    (2)  all_6_12 = e4
% 43.35/6.84    (3)   ~ (all_4_12 = e4)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_12 = e4
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_12 = e4
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  
% 43.35/6.84  Sub-proof #83 shows that the following formulas are inconsistent:
% 43.35/6.84  ----------------------------------------------------------------
% 43.35/6.84    (1)  all_6_12 = all_4_12
% 43.35/6.84    (2)  all_6_12 = e1
% 43.35/6.84    (3)   ~ (all_4_12 = e1)
% 43.35/6.84  
% 43.35/6.84  Begin of proof
% 43.35/6.84  | 
% 43.35/6.84  | COMBINE_EQS: (1), (2) imply:
% 43.35/6.84  |   (4)  all_4_12 = e1
% 43.35/6.84  | 
% 43.35/6.84  | SIMP: (4) implies:
% 43.35/6.84  |   (5)  all_4_12 = e1
% 43.35/6.84  | 
% 43.35/6.84  | REDUCE: (3), (5) imply:
% 43.35/6.84  |   (6)  $false
% 43.35/6.84  | 
% 43.35/6.84  | CLOSE: (6) is inconsistent.
% 43.35/6.84  | 
% 43.35/6.84  End of proof
% 43.35/6.84  % SZS output end Proof for theBenchmark
% 43.35/6.84  
% 43.35/6.84  6226ms
%------------------------------------------------------------------------------